Answer:
246
Step-by-step explanation:
To round the decimal, we need to look at the number in the tenths place. If it is less then 5, we round down. If it is greater or equal to 5, we round up. Since the number in the tenths place is 1, we round down, to 246.
Write an equation of the line with the given points.
(0, 1), (1, -2)
Answer:
y = -3× + 1
use slope intercept formula and
m= y1 -y2/x1- x2 plug in the coordinates.
for a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known. in testing versus , the test statistic is . what is your decision in this test?
For a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known in testing versus the test statistic. Therefore, The Null Hypothesis is Rejected.
Mean:In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values (magnitude and sign) of a particular data set.
For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean.
Sample Size:Sample size is a term used in market research to define the number of subjects included in the sample size. Sample size means the group of subjects selected from the general population and considered representative of the actual population for this particular study.
For example, if you want to predict how a population of a certain age group will react to a new product, you can first test with a sample representative of your target group his size. In this case, the sample size is derived from the number of people interviewed in this age group.
Population Variance:Population variance is a measure of variance that determines how far each data point is from the population mean. Population variance can be defined as the average squared deviation from the mean of the data. Population refers to all observations within a finite group. Population variance is calculated based on the population. However, as the number of observations increases, some data points are selected that can represent the entire population. These specific data points form the sample, and the variance calculated from these data is called the sample variance. We can use the sample variance to estimate the population variance.
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Kira set a goal to walk 60 miles this month. She walks at a consistent rate of 4 miles per hour. How long will kira have to walk in order to reach her goal?.
Answer: It will take her 15 hours to walk 60 miles at the constant rate of 4 miles an hour.
Step-by-step explanation:
60/4 is 15. Kira's total is 60, and her rate is 4. Rate*time=distance, and distance/time=rate.
1 A rectangular prism has a base that is 6 meters by 3.5 meters, and the prism is
9 meters high. What is the surface area of the prism?
A 213 square meters
C 150 square meters
B 171 square meters
D 106.5 square meters
Answer:
A) 213 m²--------------------------------
Given:
Dimensions of prism: 6m × 3.5m × 9mTotal surface area:
S = 2(lw + lh + wh)S = 2(6*3.5 + 6*9 + 3.5*9) = 2(106.5) = 213 m²Correct choice is A.
What is the quotient of 10/16 ÷ 5/16?
The quotient would be 2.
Answer:2
Step-by-step explanation:
10/16 divided 5/16. Keep 10/16, switch division to multiplication/times turn 5/16 to 16/5 which you will get 160/80 and the answer will be 2 because 80x2 is 160 so 160/80 will be 2. You'll thank me.
What is an equation example?
The definition and explanation of an equation are given below with an example.
in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.
in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-
E²=m²c⁴+p²c²
x²+3x-1=0
70 oranges= 7 oranges × 10 oranges
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Quadrilateral mnop was dilated with the origin as the center of dilation to create quadrilateral m'n'o'p'. The quadrilateral was dilated using a scale factor of 1. 5. The coordinates of the vertices of quadrilateral mnop are given. What are the coordinates of n'?.
The coordinates of N' will be (4.5, 5.25)
The picture is given by the product of the corresponding point on the preimage and the scale factor, with the center of dilatation at the origin.
The origin is the center of dilatation of a quadrilateral MNOP.
The picture that results from the dilatation of MNOP = M'N'O'P'
The dilation scale factor is 1.5.
N's coordinates in MNOP = N (3, 3.5)
The coordinates of a point (x', y') on the picture after dilatation with the center at the origin, of the preimage (x, y) by a scale factor are given below;
(x', y') = Scale factor × (x, y)
Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
The coordinates of N' = (4.5, 5.25)
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which of the choices represents the number of days a taxpayer is allowed to extend the time to petition the tax court?a. 10 days, plus any days the location was unavailable or inaccessible. b. 12 days, less any days the location was unavailable or inaccessible. c. 14 days, plus any days the location was unavailable or inaccessible.d. 21 days, less any days the location was unavailable or inaccessible.
The right response is 21 days, minus any days that the location was unavailable or inaccessible.
What is the time petition of the tax court?This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..
Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.
Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.
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a discussion of digital ethics appears in an article. one question posed in the article is: what proportion of college students have used cell phones to cheat on an exam? suppose you have been asked to estimate this proportion for students enrolled at a large university. how many students should you include in your sample if you want to estimate this proportion to within 0.07 with 95% confidence? (round your answer up to the nearest whole number.)
Number of students included in the sample to estimate the proportion with confidence interval 95% is equal to 9604.
As given in the question,
Confidence interval = 95%
z -critical value for 95% confidence interval = 1.96
Estimate proportion is in the limit 0f 0.07
Let us assume value of
sample proportion 'p' = 0.5
Margin of error = 0.01
level of significance = 0.05
let 'n' be the sample size to represent number of students included for the hypothesis.
n = p ( 1 - p ) ( z- critical value / margin of error )²
⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²
⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)
⇒ n = 0.25 × 38416
⇒ n = 9604
Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.
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Cara used the order of operations to evaluate the expression below.
4(7−13)3+(−4)2−2(6−2)
28−133+(−4)2−2(4)
153+16−8
5+16−8
13
What was Cara’s first error?
Responses
Cara did not evaluate 7−13 .
Cara did not evaluate 7 minus 13 .
Cara did not evaluate (−4)2 .
Cara did not evaluate negative 4 squared .
Cara subtracted 2 from 6 incorrectly.
Cara subtracted 2 from 6 incorrectly.
Cara multiplied 2 and 4 incorrectly.
Cara multiplied 2 and 4 incorrectly.
The Car's first error is :
Cara subtracted 2 from 6 incorrectly.
Cara subtracted 2 from 6 incorrectly.
What is meant by mathematical expression ?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.
Calcular los dos primeros términos: 4 *(-6)/3+(-4)²-2*(6-2)
Calcular los dos primeros términos: 4 *(-6)/3+(-4)²-2* 4
Reducir la fracción al término menor, cancelando el máximo factor común:-4 * 2 (-4)²-2 * 4
Calcular la potencia:-4 * 2+16-2*4
Calcular los dos primeros términos:-8 + 16-2*4
Calcular los dos primeros términos:-8+16-2*4
Calcular los dos primeros términos:8-8
Calcular los dos primeros términos:0
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what percent of 300 is 78
Answer:
it is 0.26 your welcome
Step-by-step explanation:
Answer:
Step-by-step explanation:
X% x 300 = 78
X/100 x 300 = 78
X x 3 = 78
3X = 78
X = 26
∴26%
Solve the following system of equations.
6x+9y=-3
6x+5y=9
X=
Y=
Answer:
x=-5 y=3
Step-by-step explanation:
-6(6x+9y=-3)
6(6x+5y=9)
(YOU HAVE TO MAKE ONE OF THE EQUATIONS NEGATIVE AND THE OTHER POSITIVE)
-36x-54y=18
36x+30y=54
(THE 36'S CANCEL OUT AND YOU ADD IT ALL TOGETHER)
-24y=72
(DIVIDE BOTH SIDES BY -24 AND IT THE LEFT SIDE CANCELS OUT)
y=3
(PUT THE 3 BACK INTO ONE OF THE EQUATIONS NOW THAT YOU KNOW THAT Y=3 BECAUSE NOW YOU HAVE TO FIND X [IT DOESN'T MATTER WHICH ONE])
6x+9(3)=-3
(MULTIPLY 9 AND 3)
6x+27=-3
(SUBTRACT 27 ON BOTH SIDES SO IT CANCELS OUT ON THE LEFT SIDE)
6x=-30
(DIVIDE BOTH SIDES BY 6)
x=-5
Lara bought philly pretzels. Each serving has 1.7 grams of fat. She ate 1.5 servings of pretzels at lunch and 1.25 servings of the pretzels as a snack. How many grams of fat were in both servings? Explain how you found the answer.
Answer:
4.675 g
Step-by-step explanation:
You want to know the grams of fat in both of 1.5 servings and 1.25 servings of pretzels that have 1.7 grams of fat per serving.
ServingsLara ate 1.5 +1.25 = 2.75 servings of pretzels.
FatEach serving has 1.7 grams of fat, so her total fat intake from the pretzels is ...
(1.7 g/serving) × (2.75 servings) = 4.675 g
4.675 g of fat were in both servings.
a certain disease has an incidence rate of 0.5%. if there are no false negatives and if the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is 0.1046.
This problem is a classic application of Bayes' law, but let's try a more concrete approach rather than a boilerplate approach.
Suppose 1,000,000 people are being tested.
According to the incidence, 0.5 percent should be ill, so we would expect 5,000 to be ill and 995,000 not to be ill.
We are testing 5000 of him for this disease. With only a 7% false negative rate, the test is pretty good. That is, out of 5,000 or 350 people with the disease, only 7% will test negative, and the remaining 4,650 will test positive.
We are testing 995,000 people who are not sick. With only a 4% false positive rate, the test is pretty good. That means only 4% of 995,000 or 39,800 diseased people will test positive. The remaining 955,200 will be negative.
4,650 sick and tested positive
39,800 not sick but tested positive
350 sick and tested negative
955,200 not sick but tested negative
our test 955,200 + 4,650 = 959,850 people tested
4,650 + 39,800 = 44,450 people tested positive, but only 4,650 actually tested positive. This is a very small percentage, only 465044450≈0.1046.
In other words, if your doctor says you tested positive, there's only about a 10.5% chance that you actually have the disease. That's the probability we're looking for, and this low value indicates that this test isn't very good.
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Dalton and Alma work as tutors at two different test-prep
companies. In one week, Dalton earns 40% of the $2,100
collected from the pupils he tutors. Alma earns 20% of the
$3.675 collected from the pupils she tutors the same week.
arns more money in a week? Explain.
-
Dalton and Alma earn the same amount in one week.
They both earn $.
(Type a whole number.)
B. Alma earns more money in one week. Dalton earns
$ and Alma earns $
in one week.
(Type whole numbers.)
C. Dalton earns more money in one week. Dalton earns
$ and Alma earns $ in one week.
(Type whole numbers.)
Dalton earns more money in one week.
Dalton earns $840 and Alma earns $735 in one week.
What are Percentages?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:
Percentage = (value / total value) * 100%
The question requires us to work out the percentages of the pay each of Dalton and Alma gets.
Dalton makes;
40% of $2,100
which equals [tex]\frac{40}{100}[/tex] x 2100 = $840
While Alma makes;
20% of $3,675
which equals [tex]\frac{20}{100}[/tex] x 3,675 = $735
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A 5-ounce can of tuna costs $0.90. A 6-ounce can
of tuna costs $1.20. Graph each ratio relationship on
the same coordinate plane. Which is a better buy?
ASAP PLEASE
The 12 ounce can because you get more for only two cents more.
What is cost ?
A cost is the worth of money that has been used to produce something or provide a service and is thus no longer accessible for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.
To find which tuna is a better deal, divide the cost by the number of ounces of tuna you are getting to get the cost per ounce.
$0.90/5 = $0.18 per ounce
$2.40/12 = $0.20 per ounce
Since the 5-ounce can of tuna has a cheaper unit rate price, meaning you are getting a better value, makes this the best option.
0.90/5 = 18 cents per ounce
2.40/12 = 20 cents per ounce
The 12 ounce can because you get more for only two cents more.
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Tom has a 300-foot fence around his
rectangular yard. The width is 90 feet
less than twice the length. What is the
area of his rectangular yard?
The area of the rectangular yard is 153, 00 square feet
How to determine the valueThe formula for determining the area of a rectangle is expressed as;
Area = lw
Where;
l is the length of the rectanglew is the width of the rectangleFrom the information, we have that;
Length = 300 feet
Width = 90 feet less than twice the length
Width = 2(300) - 90
Find the values
Width = 600 - 90
Width =510 feet
Now, substitute the values
Area = 510(300)
Area = 153, 00 square feet
Hence, the value is 153, 00 square feet
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Which is the graph of f/x x2 2x 3?
THE GRAPH IS ATTACHED ALONG WITH THIS
The parabola has a minima, vertex and a y-intercept.
Given,
Since the equation is quadratic, the parabola has a vertex. To find it, do as follows:
x = -b/2a
Where:
a=1
b=-2
Then:
x = -(-2)/ 2 × 1 = 1
Substitute this into the equation to obtain y:
y = 1² - 2 × 1 + 3 = 2
The point of the vertex is (1,2)
The sign of a is positive, therefore, the parabola has a minimum.
Substitute x=0 into the equation to find y-intercept:
y = 0² - 2 × 0 + 3
y = 3
You know that this point is (0,3)
Recognize that the parabola has a minimum, a vertex, and a y-intercept, and that you may graph it as shown in the accompanying image.
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What is the measurement after you double the recipe?
Practice
Did the ratio of sugar to flour change when you compare the single batch to the double batch?
Answer:
the ratio would be 6:2 or 6/2. Yes, the ratio of sugar to flour change when I compare the single batch to the double batch.
Step-by-step explanation:
what is the slope and y intercept of y+1=4/3x and how do you find the answers
Answer:
y intercept) -1
slope) 4/3
Step-by-step explanation:
To find the slope, we first need to move the 1 to the other side to get:
y = 4/3x - 1
The slope of an equation is basically the number next to the x, and it calculates the rise over the run. For this equation, for example, the slope is:
4/3
The y-intercept is when the line crosses the y-axis. Since all slope intercept form problems are written as y = mx + b, the b defines the y-intercept in this case it is:
-1
How much simple interest is earned on an investment of $800 with a rate of 6.1% over 7 years?
A. $341.60
B. $410.87
C. $3,416.00
D. $4,108.70
Answer:
$341.60
Step-by-step explanation:
I=Prt
I=800(0.061)(7)
I=48.8x7
I=341.6
Hopes this helps
0.84 is 28% of what number
which value of x makes the expression 3sqrt153x equivalent to 21sqrt153
Answer:
x=1
Step-by-step explanation:
Answer: x=49
Step-by-step explanation:
equations
[tex]3\sqrt[]{153x} = 21\sqrt[]{153}[/tex]
To remove the radical on the left side of the equation, square both sides.
[tex](3\sqrt{153x})^{2}= (21\sqrt{153})^{2}[/tex]
1377x=67473
Divide each term in
1377x=67473 by 1377and simplify
x=49
What happens to a figure when the scale factor is 1?
There is no change in the figure when the scale factor is 1 .
In the question ,
it is asked what will happen when the scale factor for a figure is 1 .
we know that ,
when the scale factor is greater than 1 , then new image is enlarged .
when the scale factor is 1 , then there is no change in the size of the image .
when the scale factor is less than 1 , then the new image is smaller than the original image .
Therefore , the size of the figure of the figure will remain the same when the scale factor is 1 .
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Identify the slope for the given line. What does the slope represent?
Answer:
25 m/s²
acceleration
Step-by-step explanation:
m = (100 - 25)/(4 - 1) = 75/3 = 25 m/s²
The slope is the rate of change in velocity as a function of time.
The rate of change of velocity is called the acceleration.
Each participant tastes snack A and snack B and them choses their favorite. Some participants have eaten snack A before and some have not. The results of the test are shown in the table. Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person. Complete the conclusions based on the data on the table.
Given a person who has eaten snack A before, the customer will __.
Options:
Stay with snack A.
Change to snack B
Given a person who has not eaten snack A before, the customer will want to eat snack __.
Options: A or B
Table below:
The conditional probability values are 0.57 and 0.43
Missing information
Has Eaten before Have not Total
Snack A 144 108 252
Snack B 92 228 320
Total 236 336 572
Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.
Given a person who has eaten snack A before, the customer will want to eat snack A
Given a person who has not eaten snack A before, the customer will want to eat snack
How to determine the probabilities?
The required probabilities are conditional probabilities, and they are calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula, we have:
The probability that a customer eats snack A given that the customer has eaten snack A before, to be:
P = n(Have eaten snack A)/n(Snack A)
This gives
P = 144/252
Evaluate
P = 0.57
Also, we have:
The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:
P = n(Have not eaten snack A)/n(Snack A)
This gives
P = 108/252
Evaluate
P = 0.43
Hence, the probabilities are 0.57 and 0.43
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A grocery store chain introduces a new brand of cereal in several of its stores. The function B(w)=120w150+w2 for w≥0 models the number of boxes, B, in thousands, of the cereal sold after w weeks. The graph of this function is shown below.
Select the THREE true statements regarding the graph of B(w).
A
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
B
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 1,250 weeks.
C
Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
D
Based on the asymptote of the function, the number of boxes of cereal sold will never fall below 800 after reaching the maximum.
E
Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
The THREE true statements regarding the graph of B(w) are;
A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
How to Interpret Quadratic Graph?
We are given the graph represented by the quadratic function;
B(w) = 120w/(150 + w²) for w ≥ 0 that models;
the number of boxes, B, in thousands, of the cereal sold after w weeks
From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct
Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct
Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.
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In working with two variables related by a regression equation, the _________________ in a variable is the amount that it changes when the other variable changes by exactly one unit.
In working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit.
What is the regression equation for two independent variables?The regression equation, Y'i = b₀ + b₁X₁[tex]_{i}[/tex] + b₂X₂[tex]_{i}[/tex], in three dimensions, defines a plane. If you computed all possible values of Y for all possible values of X1 and X2, all of the points would fall on a two-dimensional surface.If y is the dependent variable and x is the independent variable in a regression analysis, the relationship is described as the regression of y on x. A simple equation known as the regression equation can be used to represent the relationship.Learn more about regression equation at: brainly.com/question/29582333
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As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it.
According to this equation, after how many hours of driving would Evin run out of gas?
According to this equation, after 3.73 hours (3 hours, 44 minutes) of driving, Evin would run out of gas.
What is the equation?This equation, which is a mathematical statement showing that two or more mathematical expressions are equivalent or equal, shows the rate of change or consumption.
The rate of change that the equation demonstrates is computed as the unit of gas consumed per hour.
Gas Tank after 1 hour of driving = 7.25 gallons
Gas Tank after 4 hours of additional driving = 3.5 gallons
The quantity of gas consumed in 4 hours of driving = 3.75 gallons
The quantity of gas consumed per 1 hour of driving = 0.9375 gallons per hour (3.75/4).
The length of time that 3.5 gallons of gas can cover = 3.73 hours (3.5/0.9375)
= 3 hours 44 minutes.
Thus, Evin's car can only last for additional 3 hours 44 minutes, given the equation.
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find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a deck without replacement.
The probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a deck without replacement is 77/1696543.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Total number of face cards in deck =12
When 6 cards are drawn = 12C6 =924
Without replacement :
P(6 face cards)=12C6 /52C6
P(6 face cards)=924/20358520
P(6 face cards)=231/5089630
P(6 face cards)=77/1696543
Or another way
P(6 face cards) =(12/52)*(11/51)*(10/50)*(9/49)*(8/48)*(7/47)
P(6 face cards)=665280/14658134400
P(6 face cards)=924/20358520
P(6 face cards)=77/1696543
Hence, the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a deck without replacement is 77/1696543.
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