Answer:
2/35
Step-by-step explanation:
[tex]\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}[/tex]
Find missing side length?
Answer: 6
Step-by-step explanation:
14-8=6
x=6
A research team investigates the potential association between hours of work and sleep. They want to see whether there is a difference in hours of sleep per day between individuals who work about 45 hours per week and those who work 60 hours or more. If they were to use the hypothesis testing procedure for this research question, what would be the appropriate test statistic to use?
If they were to use the hypothesis testing procedure for this research question, the appropriate test statistic to use is; Z-test
What is the appropriate test statistic to be used?A test statistic is defined as a random variable that is calculated from sample data and thus used in a hypothesis test. You can use test statistics to determine whether to reject the null hypothesis.
Now, there are many different types of tests in statistics such as t-test, Z-test, chi-square test, anova test , binomial test, one sample median test e.t.c.
Now, in this case, a z-test is required because a z-test is used in hypothesis testing to evaluate whether a finding or association is statistically significant or not.
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Eight more than the product of 13 and a number (Variable n)
Answer:
13n+8
Step-by-step explanation:
8 more = 8+
product of 13 and n= 13n
8more then 13n
Answer:
Step-by-step explanation:
Eight more than the product of 13 and a number = 13n+8
13n+8=0
13n=-8
n=-8/13
A triangular banner has an area of 351 cm2. The length of the base is two centimeter longer tha four times the height. Find the height and length of the base.
The height and length of the base of A triangular banner which has an area of 351 cm² is l = 13, and h = 11 / 4 respectively.
What is the triangle?One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices.
Given data:
A triangular banner has an area of, A = 351 cm²
The length of the base is two centimeters longer than four times the height
Write the equation as shown below,
l = 4h + 2
Here, l = base length, and h = height
Calculate the area,
A = 1 / 2 l × h
351 = 1/2 (4h + 2)h Substitute the value of l
351 = (2h + 1)h
2h² + h = 351
Solve the quadratic equation to get the value of l,
l = 13 so 4h + 2 = 13
so 4h + 2 = 13
4h = 13 -2
h = 11 / 4
Therefore, the height and length of the base of A triangular banner has an area of 351 cm² is l = 13, and h = 11 / 4
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Answer!!!!!!!!!!!!!!!!
QR≅SR (given)
PQ ≅ PS (given)
PR = PR (common to both triangles)
∠QPR ≅ ∠SPR (SSS rule)
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
SSS rule (side-side-side)
The three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent.
From the given figure.
QR≅SR (given)
PQ ≅ PS (given)
PR = PR (common to both triangles)
∠QPR ≅ ∠SPR (SSS rule)
Thus,
∠QPR is congruent to ∠SPR by SSS rule.
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Solve.
1) A rectangular box is 6 in. high. The length is 2 in. more than the width. If the
volume of the box is 480 in³, find the length and width of the box.
W + 2
W
6 in.
Answer:
length = 10 in.
width = 8 in.
Step-by-step explanation:
volume of cuboid = length(l) * width(w) * height(h)
l = w + 2
(w + 2) * w * 6 = 480
(w + 2) * w = 480/6 = 80 in²
w² + 2w = 80
w² + 2w - 80 = 0
solve for w (AC method):
w² + 10w - 8w - 80 = 0
w(w + 10) - 8 (w + 10) = 0
(w-8)(w+10) = 0
w = 8 or w = -10
As length cannot be negative, w = 8 in.
substitute w with 8:
l = 8 + 2 = 10 in.
10 * 8 * 6 = 480 in³
3) Solve the following system of equations using substitution.
(show your work 1 point) (correct answer 1 point)
x + y = 4
y=3x
Answer:
x = 1
Step-by-step explanation:
Solve the following system of equations using substitution.
x + y = 4
y = 3x
Take the first equation and substitute in the second for the value of y:
x + (3x) = 4
4x = 4
divide both sides by 4:
4x/4 = 4/4
x = 1
check: if x = 1
1 + (3*1) = 4
1 + 3 = 4
4 = 4
A bacteria culture starts with 820 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1640 bacteria.
(a) Express the population P after t hours as a function of t. Be sure to keep at least 4 significant figures on the growth rate.
P(t)=
(b) What will be the population after 8 hours?
bacteria
(c) How long will it take for the population to reach 2450? Give your answer accurate to at least 2 decimal places.
hours
A) The population P after t hours as a function of t p(t) = 820 [tex]e^{0.3465t}[/tex] k = 0.3465 , B)The population after 8 hours of
bacteria is p(8) = 13120 , C) The population to reach 2450, time will be t= 3.15 hour
What is proportional?A linear relationship between two amounts or variables is shown by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original amount.
It is given that
dp/dt ∝ p
dp/dt = kp
dp/p = kdt
log p = kt +c
p(t) = c[tex]e^{kt}[/tex]
when t = 0 then p = 820
therefore c = 820
p(t) = c[tex]e^{kt}[/tex]
when t = 2hours then p = 1640
1640 = 820[tex]e^{2k}[/tex]
2k = ln2
k = ln2/2
k = 0.3465
p(t) = 820[tex]e^{0.3465t}[/tex] bacteria
B)
when t = 8hours
p(8) = 820[tex]e^{0.3465* 8}[/tex]
p(8)= 820*16
p(8) = 13120 bacteria
c)
when p = 2450 then t = ?
2450 = 820[tex]e^{0.3465t}[/tex]
2450/820 = [tex]e^{0.3465t}[/tex]
t =1.0945/0.3465
t= 3.15hours
Thus
A) The population P after t hours as a function of t p(t) = 820 [tex]e^{0.3465t}[/tex] k = 0.3465 , B)The population after 8 hours of
bacteria is p(8) = 13120 , C) The population to reach 2450, time will be t= 3.15 hour
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Find the value of each variable. /
The measure of each angle 2x°, 3x°, 4x°, and x° will be 72°, 108°, 144°, and 36°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angle 2x and angle 3x is the supplementary angles. Then the value of 'x' is given as,
2x + 3x = 180
5x = 180
x = 36
Then the value of each angle is given as,
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°
4x = 4 × 36 = 144°
x = 1 × 36 = 36°
The measure of each angle 2x°, 3x°, 4x°, and x° will be 72°, 108°, 144°, and 36°, respectively.
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You accept a job with a salary of $37,300. After 6 months, you receive a 6% raise. What is your new salary?
Answer:
If you accept a job with a salary of $37,300 and receive a 6% raise after 6 months, your new salary will be $37,300 x 6/100 = $2,238. This is the amount of your raise. To determine your new salary, we can add the raise to your original salary, which gives us:
New salary = $37,300 + $2,238 = $39,538
Therefore, your new salary after receiving a 6% raise will be $39,538.
Step-by-step explanation:
II) EXERCISE 10–3 Direct Labour Variances
SkyInc provides in-flight meals for a number of major airlines. One of the company’s products is stuffed cannelloni with roasted pepper sauce, fresh baby corn, and spring salad. During the most recent week, the company prepared 6,000 of these meals, using 1,150 direct labour-hours. The company paid these direct labour workers a total of $11,500 for this work, or $10 per hour.
According to the standard cost card for this meal, it should require 0.20 direct labour- hours at a cost of $9.50 per hour.
2. Break down the difference computed in (1) above into a labour rate variance and a labour efficiency variance, and perform the corresponding accounting records.
The total Variance above the standard labor cost $100
Standard cost to prepare the meal at actual quantity
6,000 x 0.20 = 1,200 x $9.50 = $11,400
Actual incurred = 11500
labor rate variance
11,500 actual - (1,150 actual hours x $9.50 standard rate) = -$575 u
labor efficiency variance =(1,150 actual hours x $9.50 standard rate) - $11,400 = 475 f
The variance contains two components, an unfavorable rate variance, offset by a favorbale efficiency variance. The rate variance is calculated by comparing the actual amount paid to the actual hours at the standard rate.
Add the labor rate variance of $575 and the efficiency variance of ($475) and you get a total variance of $100 above the standard labor cost.
So
The total Variance above the standard labor cost $100
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Please help me what’s the answer
The simplified value of the given fractions is -11/12
What does division of fractions mean?
A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.
Top expression = 5/8 + 3/4
= (5 + 6)/ 8 = 11/8 ( 8 is the lcm of 4 and 8 )
Bottom expression = -2/3 - 5/6
= (-4 - 5)/ 6
= -9/6 = -3/2
Top expression/ Bottom expression = (11/8)/ (-3/2 )
= - (11/8) * (2/3)
= -11/12
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the digit 1 in which number represents a value of 0.1
a) 6.513
b) 0.18
c)201
The place value of a digit in a given number can be in either unit, tens, hundred, thousand, hundred of thousand etc. Therefore the required answer is option B. 0.18.
What is the place value of a digit?The place value of a digit is its position in a given number. These could either be as unit, tens, hundred, thousands, ten thousands etc.
This can now be stated as required. This knowledge is required when round off a given decimal number to either a required number of significant figure or decimal places.
So that considering the given question, the place value of 1 in the given number 0.1 is tenths. Therefore, the place value of digit 1 that would make it to have a value of 0.1 is the number 0.18. Thus option B.
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9. On the coordinate grid below, the dashed figure is the image of a dilation applied to the larger solid figure. 0Which of the following represents this dilation?A. (X, y) (x-3/8, y- 3/8) B. (x,y) → (x-3/8, (y-3) C. (x, y) (-5/8x, 5/8y)
9. The dilation of the larger solid figure on the coordinate grid to obtain the dashed figure can be represented by the expression in option C
C. (x, y), (-5/8·x, 5/8·y)
What is a dilation transformation?A dilation transformation is one in which the dimensions of the sides of the pre-image are increased (enlarged) or decreased to get the image.
9. The dilation of a function, f(x), by a factor k are; f(k·x), and k·f(x), where;
f(k·x) is an horizontal dilation, and k·f(x) is a vertical dilation
The ordered pair (x, y) which can be expressed as (x, f(x)), where, y = f(x), following a dilation by a factor of k is therefore;
[tex](x, \, y) \overset{D_k}\rightarrow (k\cdot x, \ k\cdot f(x)) = (k\cdot x, \ k\cdot y)[/tex]
The representation of a dilation of a point (x, y), by a factor of k is therefore, obtained by multiplying both the x and y-values by the factor k, as follows;
(x, y) [tex]\overset{D_x} \rightarrow[/tex] (k·x, k·y)
Similarly, the representation of the reflection of the point (x, y) across the y-axis is the point (-x, y)
The point (-5.8·x, 5/8·y),m is therefore obtained from the dilation of the point (x, y), by a factor of 5/8, followed by a reflection across the y-axis.
The option that represents the dilation is therefore, option C
C. (x, y), (-5/8·x, 5/8·y)
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7. Find the slope-intercept form of the equation of the line that passes through
(-1, 5) and is parallel to 4x + 2y = 8..
A. y = -2x +9
B. y=2x-9
C. y = 4x-9
D. y=-2x + 3
Answer:
D. [tex]y=-2x+3[/tex]
Step-by-step explanation:
1. Isolate y to convert the original equation to slope-intercept form [tex](y = mx+b)[/tex]:
[tex]4x+2y=8\\ 2y=8-4x\\ y = \frac{8-4x}{2} \\y = -2x+4\\[/tex]
2. To find the equation parallel to a linear equation, use the original slope and plug in the given point to find b.
We know the slope of the original equation is m = -2, found in step (1).
[tex]y = -2x+ b\\(5) = (-2)(-1) + b \\5-2 =b \\3 = b[/tex]
3. Assemble the final equation:
[tex]y = -2x + 3[/tex]
1. what is an equation for the line shown?
2. graph the line with equation y=1/3x-5
SHOW WITH PICTURE OR DONT ANSWER. (you’ll be marked brainliest)
The equation of the line shown is; y= -1/2x+2. Also the graph of line with equation y=1/3x-5 is attached.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate
m - slope
Then Slope line with equation y=1/3x-5
m = 1/3
Now Write the equation for the line shown as;
y= -1/2x+2
Slope = -1/2
Hence, the equation of the line would be;
y= -1/2x+2.
Thus the graph of line with equation y=1/3x-5 is attached below.
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Watch help video
What is the equation of the line that passes through the point (8, 3) and has a slope
of -1?
Answer:
y = -x + 11
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept so m = -1
y = -x + b
Now substitute x = 8 and y = 3:
3 = -8 + b
b = 11
Thus the final equation is y = -x + 11.
One scuba diver’s elevation changed by −1558 feet every minute. This was 114 times the rate of change for a second scuba diver.
What was the rate of change in elevation of the second scuba diver in feet per minute?
The rate of change in elevation of the second scuba diver in feet per minute is; 12.5 ft/minute
How to find the rate of change of speed?We are given that;
The elevation of a certain scuba diver changes by 15⁵/₈ ft every minute.
Now, this rate of change was 1¹/₄ times the rate of change for a second scuba diver.
Thus, if the rate of change of elevation for the second scuba diver is x, then it means that;
15⁵/₈ = 1¹/₄x
Converting the fractions to improper fractions gives us;
125/8 = 5x/4
Thus making x the subject gives us;
x = (125 * 4)/(5 * 8)
x = 12.5 ft/minute
This represents the rate of change in elevation of the second diver.
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Bike route A is 12 times as long as bike route B. The total length of the bike trails is 845 miles. What is the length of each bike trail?
Length of bike route A is 12(65)=780 and length of bike route B is 65.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the Bike route A is 12 times as long as bike route B.
Let x be the length of the bike route B.
12x be the length of the bike route B.
The total length of the bike trails is 845 miles
12x+x=845
13x=845
Divide both sides by 13
x=65
Length of bike route A is 12(65)=780 and length of bike route B is 65.
Hence, Length of bike route A is 12(65)=780 and length of bike route B is 65.
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 Louis wants to take out a $14,000 loan with a 6.8% APR. He can
afford to pay no more than $400 per month for loan payments. What would be the length of his loan? Round to the nearest tenth of
a year.
The number of years to pay off the loan of principal $14000 in a monthly payment of $400 at rate of 6.8% is 3.3 years
Monthly PaymentThe monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.
The formula for monthly payment is given as ;
Monthly Payment (A) = P {[r(1 + r)ⁿ] / [(1 + r)ⁿ - 1}
A = Monthly Payment = $400P = Principal = $14000r = rate = 6.8%n = number of times of payment = ?Substituting the values into the equation;
400 = 14000 [0.068(1 + 0.068)ⁿ] / [(1 + 0.068)ⁿ - 1]
n = 3.3 year
The number of years for payment is 39 months which is approximately 3.3 years
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Write the expression pls its urgent.
Answer:
[tex]8-9i[/tex]
Step-by-step explanation:
[tex]p-q=5-2i-(-3+7i) \\ \\ =5-2i+3-7i \\ \\ =8-9i[/tex]
Identify if the question is statistical or non statistical. "Are you a faster runner than your best friend
The question "Are you a faster runner than your best friend" is a non statistical question.
How to Identify Statistical and Non Statistical Questions?A statistical question is a question that can be answered by collecting and analyzing data. The question is usually framed in a way that allows for the collection of data and the use of statistical methods to analyze the data and make inferences about a larger population. Examples of statistical questions include:
What is the average income of individuals living in a certain city?What is the probability that a randomly selected person from a certain population has a certain disease?The question "Are you a faster runner than your best friend?" is a non-statistical question. It is asking for a comparison between two individuals rather than a statistical analysis of a dataset.
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Find the length of side x in simplest radical form with a rational denominator.
The length of side X in the simplest radical form exists 22/√3.
What is meant by trigonometric identities?Trigonometry is the study of angles and the angular connections between figures in two and three dimensions. The trigonometric functions that make up trigonometry are cosecant, cosine, cotangent, secant, sine, and tangent. These are also known as the circle functions.
Trigonometric Identities are equality statements involving trigonometry functions that hold true for all values of the input variables in the equation. The side length and angle of a triangle are both subject to a variety of distinctive trigonometric identities.
The triangle is right angled, therefore we can apply trigonometry :
To obtain the value of X which is the hypotenuse :
Using trigonometric identities,
Cosθ = adjacent / hypotenuse
Substitute the values in the above equation, we get
Cos 30 = 11 / X
√3/2 = 11 / X
simplifying the above equation, we get
√3 / 2 × X = 11
X = 11 ÷ √3 / 2
X = 11 × 2 / √3
X = 22/√3
Therefore, the length of side X in the simplest radical form is 22/√3.
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I need help with this answer pleaseeeeee
Answer:
120º
Step-by-step explanation:
This might be the correct answer if I'm not mistaken:
Extending the right side of the bottom triangle leads to m<1 and 120 vertical angles.
You use the Vertical Angles Theorem, and figure that 120 is congruent to m<1. Thus, i think 120 degrees is the answer.
How many terms does this have 7y+4z+9
Answer:
3 terms
Step-by-step explanation:
There are 3 terms: 7y, 4z, and 9. To explain simply, terms are a letter, number, or a group of letters and numbers that are multiplied, but not added or subtracted.
(a) In ordinary least squares estimation, less weight is given to observations with a lower error variance. (b) Whenever there is strong heteroskedasticity, it is preferable to use OLS rather than WLS, which may use a possibly misspecified variance function. (c) The variance of the slope estimator increases as the error variance de- creases. (d) The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. savings = a_0 + a_1edu + a_2inc + u The variable edu takes a value of 1 if the person is educated and the variable inc measures the income of the individual. We can conclude that the bench- mark group in this model is the group of uneducated people.
If heteroskedasticity is present, the Ordinary Regression Analysis approximations are not the best linearly unbiased estimators.
The definition of heteroscedasticity:Heteroskedastic describes a situation in which a regression model's residual term, or measurement error, variance fluctuates significantly. If this is the case, there may be a factor which can explain why it varies in a predictable manner.
Heteroskedasticity: What Is It?When the variances of a predictor are heteroskedastic (or heteroscedastic), it signifies that the variability of the errors is indeed not constant across data. Particularly, estimated coefficients may influence the variability of the mistakes. Non-constant measures are those that are tracked over a range of independent variable values or in relation to earlier time periods.
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What percent is 10 out of 25 SHOW WORK
Answer:
To find the percent of a number, we need to divide the number by the total and then multiply by 100%. In this case, we want to find the percent of 10 out of 25, so we need to divide 10 by 25 and then multiply by 100%. This gives us 10/25 * 100% = 40%. Therefore, 10 out of 25 is equal to 40%.
Step-by-step explanation:
Agriculturists in a certain state claim that 43% of the residents in the northern portion of the state prefer flour tortillas
over com tortillas, while 59% of the residents in the southern portion of the state prefer flour tortillas over corn
tortillas. Suppose random samples of 33 northerners and 41 southerners are selected. Let N and , be the sample
proportions of northern and southern residents of this state, respectively, who would prefer flour tortillas over corn
tortillas.
Which of the following is the mean of the sampling distribution of N-s?
O-0.16
O-0.08
O 0.16
O 0.51
Answer:
A -0.16
Step-by-step explanation:
I got it right on edge
Graph a line with a slope of -5 that contains the point (-3, -4).
The linear equation can be written as:
y = -5*(x + 3) - 4
And its graph can be seen at the end of the answer.
How to graph the linear equation?Here we want to graph a line with a slope of -5 that contains the point (-3, -4).
Particularly, for a line with a slope a and a known point (h, k) can be written in the point-slope form as:
y = a*(x - h) + k
So our line can be written as:
y = -5*(x + 3) - 4
Now let's graph it. To graph the line we need to know two points on the line. We already know one that is (-3, -4)
Let's find another, if we evaluate the line in x = 0 we will get:
y = -5*(0 + 3) - 4
y = -5*3 - 4
y = -15 + 4
y = -19
Then the linear equation also contains the point (0, -19), now just let's graph the two known points and connect them with a line. The graph of the g can be seen below.
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I need help with this
I don’t get it
3.
The value of x is 20°
The value of y is 30.
4.
The value of x is 30°
The value of y is 4.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
3.
An equilateral triangle.
Where all three angles and all three sides are equal and the angle is 60°.
Now,
16 + y = 46
y = 46 - 16
y = 30
And,
180 - 80° = 100°
The sum of the angles must be 180°.
x + 100 + 60 = 180
x = 180 - 160
x = 20°
4.
We have an equilateral triangle and an isosceles triangle.
All the angles in the equilateral triangle are 60°.
The two angles opposite to the equal sides of the isosceles triangle are equal.
So,
5y = 20
y = 4
And,
In the isosceles triangle.
The straight angle.
60 + angle = 180
angle = 180 - 60
angle = 120.
Now,
The sum of the angles of the isosceles triangle = 180.
2x + 120 = 180
2x = 60
x = 30°
Thus,
3.
The value of x and y is 20° and 30.
4.
The value of x and y is 30° and 4.
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