Answer:
If the probability to choosing an odd number is 1, then the complement (the probability of choosing an even number is 0). However there are the same number of odd numbers and even numbers, therefore we can use the same proof to show that the probability choosing an even number is 1 leading to a contradiction.Step-by-step explanation:
Hope it helps YouMelissa's mother bought . pounds of strawberries to make strawberry
smoothies. She estimates that she will need of a pound of strawberries for
each smoothie. How many smoothies can she make with the strawberries she
bought?
Answer:
depends on the ammount
Step-by-step explanation:
441-p²=(21)²-(17)²
maths algebra
Step-by-step explanation:
hope it will help you......
Answer:
p = 17
Step-by-step explanation:
→ Expand out (21)² - (17)²
21² = 441 and 17² = 289 therefore 441 - 289 = 152
→ Plug value back into equation
441 - p² = 152
→ Minus 441 from both sides
- p² = -289
→ Square root both sides
p = 17
A cylinder has a diameter if 10units its radius is blank units
A:2. B:5. C:10. D:20
If it's height is twice it's radius, it's height is blank units
A:2. B:5. C:10. D:20
Its volume is about blank cubic units
A:157. B:250. C:500. D:785
Answer:
[tex]1. \to B:5...\\ 2.. \to C:10.\\3. \to D:785[/tex]
y
What is the equation of the blue line?
Answer:
y = (1/2)x + 2
Step-by-step explanation:
it is a straight line so it will be in the form of y = mx + c
m = gradient, c = y intercept
Reading from graph it cuts the y-axis at 2,
so c = 2
to find gradient we can pick any 2 points on the line,
e.g (0,2) and (10,7)
gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)
= 1/2
so the equation is y = (1/2)x + 2
Using slope intercept formula, the equation of the blue line
y = (1/2)x + 2.
What is slope intercept?The slope intercept form is one of the form to represent" equation of the straight iine".
According to the question,
The graph intercept the y-axis at 2.
Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line, x, y as variable.
From given, y-intercept, c = 2.
To find slope of the line take any two points on the line (0,2) and (10,7).
Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).
m = (2-7)/(0-10)= [tex]\frac{1}{2}[/tex]
Hence, the equation of the blue line y = (1/2)x + 2.
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2. The German Shepard actually weighs 28 pounds. Lisa thought the
dog weighed 44 pounds. What is the percent error?
Answer:
Lisa's percentage of error regarding the weight of the dog was 57.14%.
Step-by-step explanation:
Given that the German Shepard actually weighs 28 pounds, but Lisa thought the dog weighed 44 pounds, to determine what is the percent error the following calculation must be performed:
28 = 100
44 = X
(44 x 100) / 28 = X
4,400 / 28 = X
157.14 = X
157.14 - 100 = 57.14
Thus, Lisa's percentage of error regarding the weight of the dog was 57.14%.
quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
It is not multiple choice
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.
I WILL GIVE YOU BRAINLIEST!!!
An initial investment of $480 is appreciated for 7 years in an account that earns 15%
interest, compounded quarterly. Find the amount of money in the account at the end
of the period.
01) $ 1276.81
O2) $ 1345.58
3) $ 865.58
O4) $ 1296.94
The amount of money in the account at the end of the period would be $1345.58.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.
We can write the compound interest as -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
A = 480(1 + 0.15/4)^(4 x 1)
A = 480 + 865.58
A = 1345.58
Therefore, the amount of money in the account at the end of the period would be $1345.58.
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Suppose that a person who has recently helped start a company for the first time is randomly selected. The probability that the company will fail within 2 years is 0.3. Suppose we follow 14 start-ups (98 people) for 2 years and record the number of people whose company failed. Why is the binomial model inappropriate for finding the probability that at least 42 of these 98 people
Answer:
The Binomial model is inappropriate because the Trials are independent of each other
Step-by-step explanation:
Given data :
probability of a company started by a person failing with 2 years = 0.3
14 start-ups ( 98 people ) are followed for 2 years
The probability that at least 42 of these 98 people will fail in 2 years
Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail
The Binomial model is inappropriate because the Trials are independent of each other
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Enter relative frequencies to three decimal places.)x Frequency Relati veFrequency01245678(b) What proportion of batches in the sample have at most six nonconforming transducers? (Enter your answer to three decimal places.)What proportion have fewer than six? (Enter your answer to three decimal places.)What proportion have at least six nonconforming units? (Enter your answer to three decimal places.)
Answer:
(a) See attachment for table
(b) [tex]Atmost\ 6 = 21.667\%[/tex]
(c) [tex]Less\ than\ 6 = 21.667\%[/tex]
(d) [tex]At\ least\ 6 = 78.333\%[/tex]
Step-by-step explanation:
Given
The data (in the question)
Solving (a): Frequency and Relative frequencies of each data
The range of the data is 0 to 8. So the frequency of each is the number of times each of 0 - 8 occurs.
This is tabulated below:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {0} & {7} & {11.667\%} &{1}& {13} & {21.667\%} & {2} & {13} & {21.667\%} & {3} & {14} &{23.333\%} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
[tex]Total\ \ \ 60[/tex]
The relative frequency is calculated as:
[tex]Relative\ Frequency = \frac{Frequency}{Total\ Frequency} * 100\%[/tex]
For instance: When x = 0:
[tex]Relative\ Frequency = \frac{7}{60} * 100\%[/tex]
[tex]Relative\ Frequency = \frac{700}{60} * \%[/tex]
[tex]Relative\ Frequency = 11.667 \%[/tex]
Solving (b): Proportion that have at most 6.
Here, we consider frequencies of 0 to 6.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Atmost\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Atmost\ 6 = 21.667\%[/tex]
Solving (c): Proportion that have at fewer than 6.
Here, we consider frequencies of 0 to 5.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Less\ than\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Less\ than\ 6 = 21.667\%[/tex]
Solving (d): Proportion that have at least 6.
Here, we make use of the complement rule:
[tex]At\ least\ 6 = 100\% - Less\ than\ 6[/tex]
[tex]At\ least\ 6 = 100\% - 21.667\%[/tex]
[tex]At\ least\ 6 = 78.333\%[/tex]
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
Surface area of the rectangular prism is 52 square inches. What is the volume
3x3 grid using 24cm wire. How much wire for 20x20 grid?
Answer:
840cm
Let Me Know If This Is Correct I Always Want To Improve!
Thanks :)
5/8x7/6 as a fraction simplified
Step-by-step explanation:
5÷8
7 6
=5 ×6
7× 8
=30
56
= 30÷2
56÷2
=15
28
For the total population of a large southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that you are taking subsample of 200 city residents. What is the Z score for
$33,000?
Answer:
Z= -2.83
Brainliest please if you dont mind
A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for
Answer:
A ≈ 34.1 in²
Step-by-step explanation:
Using the formulas of area & circumference:
A = πr2
C = 2πr
Solving for A:
A = C2
4·π = 20.72
4·π = 34.09815 in²
4·π ≈ 34.1 in²
What is 21/1 divided by 1/4
Answer:
84
Step-by-step explanation:
To divide two fractions we turn the second fraction upside down and multiply two fractions
21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1
This can be written as 84
E
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1
Write an equation in slope intercept form for the following graph.
--
1
Answer: (-4 ,4)
Step-by-step explanation:
using algbera solve 80 divide 10
Answer:
8
Step-by-step explanation:
Can someone help mee
What are some words that we can use to represent a positive or negative integer?
Answer:
Profit, increase, and income are all examples of words that mean positive. A negative number is a number that is less than zero. It is always written with a - symbol in front of it. A loss is written with a negative number
Hope this helps
Evaluate the value of: √100/49x400
Answer:
This is your answer ☺️☺️☺️
geometry please help me!!
Answer:
N=433.31
Step-by-step explanation:
720(cos(53))=(n/720)720
n=720cos(53)
n=433.306
n=433.31
Hope this helps i aced this unit
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
give simplest ratio for 68:34
Answer:
Thus, 2/1 is the simplified fraction for 68/34 by using the prime factorization method.
I really need this please
[tex](2^{\frac{1}{2}})^n=\frac{2^x}{2^{3y}}\\2^{\frac{1}{2}n}=2^{x-3y}\\\frac{n}{2}=x-3y\\n=2x-6y[/tex]
11. The length of a rectangle is double its width, If its width is 15cm, What is its area. Show
your steps.
Answer:
450 cm squared
Step-by-step explanation:
W=15
L=2W =30
A= LxW
A= 15X30
A=450
FIND THE AREA FOR BOTH SHAPES (LEAVE EXPLANATION)
Answer:
b - 100 cm²
c - 45.5 cm²
Step-by-step explanation:
Hello There!
For b - The following figure shown is a trapezoid with the dimensions
height = 10cm
longer base = 12cm
shorter base = 8cm
We can calculate the area of a trapezoid using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{8+12}{2} 10\\8+12=20\\\frac{20}{2} =10\\10*10=100[/tex]
so we can conclude that the area of figure b is 100 cm²
for a
The figure shown is an irregular shape so to calculate the area we're going to want to divide the irregular shape into two regular shapes
a rectangle with the dimensions:
width = 7 cm
length = 8cm (total height of irregular figure) - 3cm (height of the triangle)
8cm-3cm=5cm so the length of the rectangle is 5cm
a triangle with the dimensions:
base (length) = 7cm
height = 3cm
Now lets find the area of each shape
for the rectangle:
the area of a rectangle can simply be found by multiplying the length and width
7 * 5 = 35 so the area of the rectangle is 35 cm²
for the triangle:
the area of a triangle can be found using this formula
[tex]A=\frac{1}{2} bh[/tex] where b = base and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{1}{2} 3*7\\3*7=21\\\frac{21}{2} =10.5[/tex]
so we can conclude that the area of the triangle is 10.5 cm²
finally we add the two areas of the regular shapes
10.5 + 35 = 45.5 cm²
In conclusion the area of the figure is 45.5 cm²
Find the missing side round your answer to the nearest tenth
How do you Solve 20/3=10/9x
Answer:
200
Step-by-step explanation:
100✓9283+374+_+38_+_+_("#9#9_+
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
A researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. She finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. A 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). Which of the statements gives the correct outcome of the researcher's test of the claim?A. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly is the same.
B. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly may be the same.
C. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of women than men who watch television regularly.
D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
E. The researcher cannot draw a conclusion about a claim without performing a significance test.
Answer:
The answer is D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
Step-by-step explanation:
We can agree that the lower and upper bound of the confidence interval is positive, meaning that because the confidence interval represents the range about the difference in proportions, it being positive must mean that one of the proportions is bigger than the other. Quickly calculating the proportions shows us that men (56 / 70) watch television more frequently than women (47 / 85).
Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
It is supposed to be agreed that the bottom and upper bounds of the confidence interval are positive, which means that because the confidence interval represents the range of the proportional difference, it must be positive if one of the proportions is larger than the other. Men (56 / 70) watch television more frequently than women (47 / 85), according to a quick calculation.
Thus, Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
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