The statements that are true concerning the study that was carried out by the pharmaceutical company include the following: This study uses random sampling, This study uses blinding and This study uses a control group. That is option A, B and E.
What is a pharmaceutical company?A pharmaceutical company is defined as the company that has been certified to manufacture and distribute drugs such as the children's vitamin.
While selecting sample for the study, it was stated that 500 children grouped by age was randomly selected.
Out of the total samples, 250 was given the vitamin while the remaining half was given a placebo ( a blind) which would serve as concealment of the group allocation from them as they are serving as the control.
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Answer:
A,B,C,
Step-by-step explanation:
PLATO
Question 3
Answer choices:
A) copy an angle
B) copy a segment
C) construct a perpendicular line to a point not on the line
D) bisect an angle
"Copy an angle" construction has been performed.
What is an angle?
Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays. Angles are frequently expressed in degrees and radians, a unit of circularity or rotation. We encounter angles frequently in life. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.
Observe that angles BAC and TSR are same.
This means, construction is done to copy the angle BAC.
So, "copy an angle" construction has been performed.
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a t test can be used to compare results from two different methods. of the difference in the results is significant, it means that
By using testing of hypothesis, it can be concluded that
There is a systematic error in atleast one of the methods
First option is correct
What is testing of hypothesis?
Suppose there is a data at hand and there is a hypothesis to be tested. Testing of hypothesis determines whether the given hypothesis can be supported with the data at hand.
A t test can be used to compare results from two different methods.
Here, the difference in the results is significant, it means that
So the null hypothesis has to be rejected
There is a systematic error in atleast one of the methods
First option is correct
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Complete Question
The complete question has been attached
What is a function formula?
A function formula y = f(x) defines the relation between input values and output values.
We know that the function defines relation between the input values and the output values. A relation is a function if and only of for each input there is exactly one output.
A mathematical equation which involves x and y, i.e., a function, can be written in the form y = an expression involving x
y = f (x).
The function formulas are used for calculating the x-intercept, y-intercept and slope in any function.
We can find the x-intercept of a function by substituting the value of f(x) as 0. Similarly, the y-intercept of a function by substituting the value of x is 0. We can calculate the slope of a linear function by rearranging the function to the form, f(x) = mx + c; where m is the slope and c is the y-intercept.
Therefore, the function formulas are used to determine the x-intercept, y-intercept and slope in any function.
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a teacher wants to see if a new unit on taking square roots is helping students learn. she has five randomly selected students take a pre-test and a post test on the material. the scores are out of 20. has there been improvement? (pre-post)
Using the t-distribution, it is found that the p-value is of 0.
At the null hypothesis, it is tested if there has been no improvement, that is, the scores on test 1 are at least equal to the scores on test 2, which means that the mean of the subtraction of the means is at least 0.[tex]H_{0\\}[/tex] : μ₁ - μ₂ ≥ 0
At the alternative hypothesis, it is tested if there has been improvement, that is, the grades on the second test are higher, hence the mean of the subtraction of the variables are negative.[tex]H_{1}[/tex] : μ₁ - μ₂ < 0
Using a calculator, the p-value, for a left-tailed test, as we are testing if the mean is less than a value, with 5 + 5 - 2 = 8 df and t = -14.9, is of 0.To know more about hypothesis check the below link:
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Scherita invests $2300 in one account and $2400 in an account paying 3 % higher interest. At the end of one year she had earned $166 in interest. At what rates did she invest?
PLEASE PLEASE HELP!!!
The Interest Rates are 2% and 5% respectively
What is Simple Interest?
Simple interest is a quick and straightforward way to calculate the interest on a loan. Simple interest is calculated by multiplying the daily interest rate by the principle multiplied by the number of days between payments.
Solution:
Let, the lesser interest rate be x
Simple Interest = Principal*Time*Rate/100
Total Interest = $166
166 = 2300*x*1/100 + 2400*(x + 3)*1/100
166 = 2300x + 2400x + 7200 / 100
16600 = 4700x + 7200
9400 = 4700x
x = 2%
and the Higher Interest Rate = 5%
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PLS HELP ME WITH THE QUESTION
Answer: 175
Step-by-step explanation: So the formula for finding the area of a rhombus is A= 1/2 d1+d2. So, we multiply 14 x 25 to get 350, then we divide by 2, and get 175! I hoped this helped you solve your problem :)
A certain brand of electric bulbs has an average life of 330 hours with a standard deviation of 35. A random sample of 80 bulbs is tested. What is the probability that the sample mean will be less than 318?.
The probability that the sample mean will be less than 318 is 0.0011.
Mean is defined as the average of given numbers i.e. sum of all numbers divided by the total number of numbers. The Mean is denoted as m or μ. Standard deviation is the measure which it shows the variation from the mean exists or not. The standard deviation is denoted as σ.
We know that,
P ( x < n ) = P ( z < x - μ / ( σ / √n ) ) → 1
where, z = x - μ / ( σ / √n )
As per the given question,
The average life of the electric bulbs i.e. mean ( μ ) = 330 hoursThe standard deviation of the bulbs ( σ ) = 35A random of 80 bulbs are tested i.e. n = 80The probability of the sample mean is less than 318 i.e.P ( x < 318 ) = ?
Substitute the values in 1,
P ( x < 318 ) = P ( z < x - μ / ( σ / √n ) )
= P ( z < 318 - 330 / ( 35 / √80 )
= P ( z < -12 / ( 35 / 8.94 )
= P ( z < -12 / 3.91 )
= P ( z < -3.069 )
= P ( z < -3.07 )
P ( x < 318 ) = 0.0011
Therefore, 0.0011 is the probability that the sample mean will be less than 318. Hence Option a is correct.
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The complete question is
A certain brand of electric bulbs has an average life of 330 hours with a standard deviation of 35. A random sample of 80 bulbs is tested. What is the probability that the sample mean will be less than 318?
a.) 0.0011
b.) 0.9989
c.) 0.0006
d.) 0.0127
Someone help Please ASAP
A full pond containing 625 gallons of water begins losing its water at a rate of 20% per week. If the pond now contains 320 gallons of water, how many weeks has it been since the pond was at full capacity?
(Use the digits 0 – 9 to enter a number. Use a decimal point only if necessary.)
Answer:3
Step-by-step explanation:
Which statement about the value of a credit report to lenders and borrowers is NOT true?
Answer:
A credit report is not useful for lenders and borrowers because it does not provide detailed information about a person's financial history.
a rectangle has a fixed area of 100 units^2 and its length l is increasing at 2 unit/sec. find the length l at the instant the width is decreasing at .5 units/sec. ap calc related rates
The width at the instant the width is decreasing at .5 units/sec is increasing 5 units per/sec.
How to find change in length or width?
The rate at which a function changes in relation to a variable Calculus and differential equations issues must be solved using derivatives.Given:
Area of triangle = 100 units²
Area of triangle = Length * Width
Length * Width = 100
dl / st = 2 unit/sec
a) Find length
when dw/dt = -0.5 unit/sec
l * w = -0.5
l dw/dt + w dl/dt = 0
100/w (-0.5) + w(2) = 0
(- 50+ 2w²) / w = 0
2w² = 50
w² = 25
w = 5
Hence, the width at the instant the width is decreasing at .5 units/sec is increasing 5 units per sec.
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Harry's mother makes cakes for a local restaurant. She buys flour and sugar in large amounts. She has 157.86 pounds of flour and 82.69 pounds of sugar. If she uses 15 pounds of flour and 8 pounds of sugar each day, for about how many days will the flour last?
The flour will last for about 11 days.
What is equation ?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.
Suppose, the flour will last for x days.
She uses 15 pounds of flour each day.
So, the total amount of flour used in x days 15x pounds.
Given that, she has 157.86 pound of flour.
So, the equation will be
15 x = 157.86
x = 157.86 / 15
= 10.524
≈ 11
Thus, the flour will last for about 11 days.
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raise p to the 7th power, then add q to the result
DONT SIMPLIFY
The expression equivalent to the statement raise p to the 7th power, then add q to the result is p⁷ + q
How to determine the expression of the mathematical statement?From the question, we have the following mathematical statement that can be used in our computation:
raise p to the 7th power, then add q to the result
When p is raised to the power of 7, we have the following representation
p⁷, then add q to the result
When q is added to p⁷ above, we have
p⁷ + q
Hence, the expression is p⁷ + q
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a football team socred 80 percent of a total 500 points in the first 11 games of the season how many points did the team scored
Answer: 400 points
Step-by-step explanation:
500 x 80 = 40,000
40,000/100 = 400 points
Based on the model what would be Jamall salary and dollars for a month where he made no sales y=3400 + 0.05x
Jamall's salary when he made no sales is $3400
How to determine the salary?From the question, we have the following parameters that can be used in our computation:
y = 3400 + 0.05x
When he made no sales, the value of x is 0
So, we have the following representation
y = 3400 + 0.05 x 0
Evaluate
y = 3400
Hence, the salary is $3400
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What image would be created by a scale factor of 1?
The image created by the scale factor of 1 will be same as the pre-image
The scale factor of the image = 1
The ratio between the new size of the figure and the original figure = 1 : 1
The scale factor is the ratio between the dimensions of the new figure and the dimensions of the original figure.
The image in the dilation is the new/final figure and the pre-image is the original figure before dilation
Here, the size of the image and pre-image will be same because the ratio is 1 : 1, image and pre-image has same dimensions
Therefore, the image and the pre-image will be same
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State the domain, range, intercepts, and asymptotes of y=-2^(-x+2)+1
The domain, range and asymptotes of the exponential function y = -2^(-x+2)+1 are given as follows:
Domain: All real values.Range: y < 1.Horizontal asymptote: y = 1How to obtain the domain, range and asymptotes?The function in this problem is defined as follows:
y = -2^(-x+2)+1.
It is an exponential function, hence it has no restrictions, meaning that:
The domain is composed by all real values.The function has no vertical asymptotes.The range of the function is the set that is composed by all the output values of the function.
Due to the multiplication by the negative number, the function is reflected over the x-axis, and the addition by 1 means that the function is shifted up 1 unit, thus:
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What are 4 pairs of congruent sides?
Rhombus is 4 pairs of congruent sides.
Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign ≅. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.
A rhombus is a parallelogram with four congruent sides.
All the characteristics of a parallelogram are present in a rhombus, plus the following: The diagonals intersect at right angles.
Square and rhombus are the only two quadrilateral shapes that consistently have four congruent sides. Note that congruent sides refer to sides that are of the same length. A quadrilateral having four equal sides and four equal angles is called a square (90 degrees). It combines a rhombus and a right-angled rectangle ( equal side ).
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What are the 3 types of infinitives in Spanish?
Three types of infinitives in Spanish are the word that ends with the letters -er , -ar, and -ir.
Explanation:
Infinitive : In general sense infinitive represent the action or the purpose.
They do not represent the person or the time.Infinitive in Spanish are generally non -conjugated verbs and they are ending with -er , -ar , -ir.
Basically infinitive in Spanish classified into three groups.
-er : Aprender meaning camping.
-ar : Acampar meaning Camping and so on.
Spanish infinitives are equivalent to English verbs ending with ing.Therefore, the three types of Spanish infinitives are word ends with -er , -ar, and -ir.
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How many km do you travel in 1 hour?
Answer:
100 km
Step-by-step explanation:
suppose a is a set with m elements and b is a set with n elements. a. how many relations are there from a to b? explain. b. how many functions are there from a to b? explain. c. what fraction of the relations from a to b are functions?
a)There are [tex]2^m^n[/tex] possible relation
b)Similarly [tex]n^m[/tex]
c)[tex]\frac{n^m}{2^m^n}[/tex]
a)Set A has m elements and set B has n elements
Firstly determine the number of elements A*B by using the multiplication rule
Number of elements[tex]=A*B=m*n=mn[/tex]
For each element, [tex]A*B[/tex] we have two option
First element 2 ways
Second element 2 ways
mn element 2 ways
By using the multiplication rule
[tex]2*2*2......=2^m^n }[/tex]
Then there are [tex]2^m^n[/tex] possible relation
b)Similarly [tex]n^m[/tex]
c)[tex]\frac{n^m}{2^m^n}[/tex]
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The table below shows how long it took Tamara to swim different distances.
Time
(in minutes) (x)
0.5
1.25
2.0
2.0
2.5
Distance
(in meters) (y)
50
100
200
225
300
A. List the domain and range values.
B. Is the relation a function? Explain. Use the table to support your argument.
The domain and the range are {0.5, 1.25, 2.0, 2.5} and {50, 100, 200, 225, 300}
The relation is not a function
How to determine the domain and the range?From the question, we have the following parameters that can be used in our computation:
Time (in minutes) (x) 0.5 1.25 2.0 2.0 2.5
Distance (in meters) (y) 50 100 200 225 300
The domain is the list of the x values (without repetition)
So, we have
Domain = {0.5, 1.25, 2.0, 2.5}
The range is the list of the y values (without repetition)
So, we have
Range = {50, 100, 200, 225, 300}
Is the relation a function?For a relation to be a function, the x values must not be repeated for different y values
From the table, we have: (2.0, 200) and (2.0, 225)
The x value 2.0 is repeated for y values 200 and 225
Hence, the relation is not a function
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Determine the value of X.
Please help!!
Number 7!
Answer: x=45 degrees
Step-by-step explanation:
125+x+10=180
all triangles add up to 180 degrees
135+x=180
x=45
how much do you pay for $55 textbook with 7.5% tax?
Answer:
4.125 rounded to 4.13 = the price of tax.
4.13 + 55 = 59.13
Given: BD and AC bisect each other.
Prove: AB
CD.
Note: quadrilateral properties are not permitted in this proof.
Step
1
try
Statement
BD and AC bisect each other
Type of Statement
A
Reason
Given
B
The proof of AB ≅ CD is given below.
What is triangle?
Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Given: BD and AC bisect each other.
So, AE = AC and BE = ED
Consider the triangles ΔAEB and , ΔECD
Given,
AE = EC ...S
BE = ED ....S
Here, lines BC and AD intersects at point E, so
m ∠AEB = m ∠DEC ....A
Therefore, from SAS congruency,
ΔAEB ≅ ΔECD
Hence, AB ≅ CD
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A person working on the roof of a two-story house drops a paintbrush. It is 35 feet to the
ground. When the brush falls, the worker on the roof shouts "Look Out!". A 6 feet tall
person is standing directly below where the brush falls.
If the reaction time needed for the person on the ground to move away is 1.85 seconds,
will they be hit by the paintbrush before they can move out of the way?
The kinematic equation of the motion of the paintbrush dropped 35 feet height from the ground and the 1.85 seconds reaction time of the 6 feet person standing directly below, indicates that they will be hit by the paintbrush before they can move out of the way.
What is the kinematic equation of motion?The kinematic equation of motion describe the motion of a body that moves under constant acceleration, without consideration of the forces causing the body to move.
The height from which the paintbrush is dropped from the roof to the ground = 35 feet
Height of the person standing directly below where the brush falls = 6 feet
The reaction time of the person = 1.85 seconds
The kinematic equation of motion of free fall of an object is presented as follows;
s = u·t + 0.5·g·t²
Where; s = The height through which the paintbrush falls
u = The initial velocity of the paintbrush = 0
g = The acceleration due to gravity ≈ 32.1741 ft/s²
The height the paintbrush falls before meeting the 6 feet tall person, s = 35 feet - 6 feet = 29 feet
Therefore, we get;
29 = 0 × t + 0.5 × 32.1741 × t²
t² = 29 ÷ (0.5 × 32.1741) ≈ 1.803
The time it takes the paintbrush to fall 29 feet, t, is therefore;
t = √(29 ÷ (0.5 × 32.1741)) ≈ 1.343
It takes the paintbrush to reach the height of the person standing directly below in just about 1.3 seconds after it is dropped, before the person can react to move away in 1.85 seconds, therefore, they will be hit by the paintbrush before they can move out of the way.
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In an experiment, equal amounts of water and sand were heated under a lamp. The initial and final temperatures of each were recorded. A partial record of the temperature is shown.
Experimental Record
Substance Initial Temperature Final Temperature
Sand 20 °C 26 °C
Water 20 °C ?
Which statement about the final temperature of water is correct?
It will be less than 26 °C as sand has a relatively higher specific heat than water.
It will be less than 26 °C as water has a relatively higher specific heat than sand.
It will be more than 26 °C as sand needs relatively higher energy than water to raise its temperature.
It will be more than 26 °C as water needs relatively higher energy than sand to raise its temperature.
It will be less than 26 °C as water has a relatively higher specific heat than sand is true statement about the final temperature of water.
Define temperature.Temperature is a unit used to represent hotness or coolness on any of a number of scales, including Fahrenheit and Celsius. According to temperature, heat energy will naturally move from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).
Given,
In an experiment, equal amounts of water and sand were heated under a lamp. The initial and final temperatures of each were recorded. A partial record of the temperature is shown.
Experimental Record
Substance Initial Temperature Final Temperature
Sand 20 °C 26 °C
Water 20 °C
The quantity of heat energy absorbed by one unit of a substance when its temperature rises by one unit is measured as the substance's specific heat.
This allows you to calculate the equation for a substance's specific heat:
Specific heat equals heat / (mass Δ T)
Given that both samples have the same amount (mass) and that all of the heat from the lamp is applied to them, you can assume that the specific heat of the samples will be as follows:
particular heat is equal to constant / ΔT.
Therefore, the two quantities are inversely connected.
Since sand has a lower specific heat than water, the sand on the shore of a beach is warmer during the day. When walking on a sandy beach on a bright day, your feet get scorched since it's hotter than the ocean.
When equal amounts of water and sand are heated as per the experiment's instructions, water will increase in temperature more slowly and, as a result, reach a lower end temperature than sand. This is because water has a higher specific heat than sand. This is the second option; because water has a substantially higher specific heat than water, the end temperature of water is less than 26°C.
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you are offered a free play at the following game: ten balls are numbered 1 through 10. three are selected at random (each combination equally likely). before balls are drawn, players try to guess which three numbers are drawn by filling out a ticket. neither the order that the player selects the numbers nor the order in which the balls are drawn matters. how many outcomes are in the sample space for this experiment?
The sample space for this experiment contains a total of 120 possible outcomes. This is because there are 10 possible balls to be drawn, and each of them can be chosen in 3 different ways. Thus, 10 x 10 x 10 = 1,000 possible combinations. However, since the order of the selected numbers does not matter, the number of possible outcomes is reduced to 1,000 / 6 = 120.
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.
How can I calculate probability?Subtract the total number of events from the total number of outcomes. Divide the total number of ways the event could occur by the total number of possible outcomes once the probability event has been identified and its corresponding consequences have been determined.
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What are the coordinates of the point on the directed line segment from (−3,4)(−3,4) to (3,−8)(3,−8) that partitions the segment into a ratio of 1 to 3?
The coordinates of the point on the directed line segment from (−3,4) to (3,8) partitions the segment into a ratio of 1 to 3 is given as follows:
(-1.5, 1).
How to obtain the coordinates of the point?The coordinates of the point are applied using proportions, as the fact that the point partitions the segment into a ratio of 1 to 3 means that the following equation is built:
Point - Initial Coordinate = 1/4(Final Coordinate - Initial Coordinate).
This equation is used to find both the x-coordinate and the y-coordinate of the point.
The x-coordinate of the point is obtained as follows:
x + 3 = 1/4(3 + 3)
x + 3 = 1.5
x = -1.5.
The y-coordinate of the point is obtained as follows:
y - 4 = 1/4(-8 - 4)
y - 4 = -3
y = 1.
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suppose 400 different researchers all randomly select samples of 800 individuals from a population. each researcher uses his or her sample to compute a 95% confidence interval for the proportion that has blue eyes in the population. about how many of the confidence intervals will cover the population proportion?
Assuming that the population proportion of blue eyes is accurately reflected in each sample, about 380 of the 400 confidence intervals should cover the population proportion.
The confidence interval for the proportion of blue eyes in the population is calculated as follows:
Proportion of blue eyes in the population = sample mean +/- (1.96* Standard Error)
Where Standard Error = sqrt[(proportion of blue eyes in the population)*(1-proportion of blue eyes in the population)/sample size]
At a 95% confidence level, the confidence interval should cover the population proportion 95% of the time. Therefore, 95% of the 400 confidence intervals should cover the population proportion, which is approximately 380 intervals.
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find the average rate of change for the following equation over the interval -4≤x≤1
y=x^2 + 4x -1
To find the average rate of change of a function over an interval, we need to calculate the slope of the secant line connecting the points on the function at the two endpoints of the interval.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. In the case of a secant line, we can calculate the slope by using the formula:
m = (y2 - y1) / (x2 - x1)
For the function y = x^2 + 4x - 1, we can plug in the values of x and y at the two endpoints of the interval, (-4 and 1), to find the slope of the secant line:
m = [(1)^2 + 4(1) - 1] - [(-4)^2 + 4(-4) - 1] / (1 - (-4))
Simplifying this expression, we get:
m = (1 + 4 - 1) - (16 + 16 - 1) / (-3)
This simplifies to:
m = -20 / -3
Therefore, the average rate of change of the function y = x^2 + 4x - 1 over the interval -4 ≤ x ≤ 1 is 6.5.