High blood pressure has been identified as a risk factor for heart attacks and strokes. The National Health and Nutrition Examination Survey reported that the proportion of U.S. adults with high blood pressure is 0.3. A sample of 38 U.S. adults is chosen.
(a) Is it appropriate to use the normal approximation to find the probability that more than 40% of the people in the sample have high blood pressure. If so, find the probability. If not, explain why not.
B. A new sample of 80 adults is drawn. Find the probability that more than 40% of the people in this sample have high blood pressure.
C. Find the probability that the proportion of individuals in the sample of 80 who have high blood pressure is between 0.20 and 0.35.
D. Find the probability that less than 25% of the people in the sample of 80 have high blood pressure.
E. Would it be unusual if more than 45% of the individuals in the sample of 80 had high blood pressure?
Answers
Related Questions
d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (3, 2) and point (5, 4) rounded to nearest 10th
Answers
Finish the other half of the graph if it was even and odd.
Answers
To solve this problem, first, let's remember the definitions of even and odd functions.
• A function f is ,even, if the graph of f is ,symmetric about the y-axis,.
,• A function f is ,odd, if the graph of f is ,symmetric about the origin.
a) To make the function even, we must complete the graph such the graph result is symmetric about the y-axis (the vertical axis). Doing that we get:
b) To make the function odd, we must complete the graph such the graph result is symmetric about the origin (the horizontal axis). Doing that we get:
A scientist is studying a bacterial colony that doubles in size every hour. The function f(x)=2^x models the number of cells, f(x) , after a given number of hours, x. The inverse function, f^-1 , models the number of hours, f^-1 (x) , required for the colony to reach x cells.
Use the graph of function f to identify f^-1 (x) for each x-value in the table. Then plot the points on the coordinate plane to graph the inverse of function f. Recall that for the inverse of a function, the values of the inputs and outputs are reversed.
1
2
4
8
16
Answers
Answer:
(1,0), (2,1), (4,2), (8,3), (16,4)
Step-by-step explanation:
For every point (a,b) that lies on the graph of function f, the point (b,a) must lie on the graph of its inverse. The points (1,0), (2,1), (4,2), (8,3), (16,4) and lie on the graph of function f. The points shown in the table lie on the graph of the inverse function,f^-1
Plato's Explanation.
Hope this helps!
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answers
The factors of the polynomial function f(x) must be x, x + 6 and x + 3
How to determine the factorsFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
On the graph, we have the zeros of the function to be
x = -6, x = -3 and x = 0
Set the equations to 0
So, we have the following representation
x + 6 = 0, x + 3 = 0 and x = 0
This means that the factors are
x, x + 6 and x + 3
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Which of the following is equivalent to (mn)³?
a. 3mn
b. m³n
c. mn³
d. m³n³
Answers
Answer:
Step-by-step explanation:
d is correct
Answer two questions about Equations A and B:
A. 2x - 1 = 5x
B. - 1 = 3x
1) How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/Subtract the same quantity to/from both sides
B. Add/Subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
A. Yes
B. No
Answers
1. Rewrite one side (or both) by combining like terms. Option C
2. Yes, the equations are equivalent. Option A
Reasons for the answers
1.
Equation A ; 2x -1 = 5x
Equation B ; -1 = 3x
To get equation B from equation A
2x - 1 = 5x
Collect like terms
-1 = 5x -2x
Subtract the like terms
-1 = 3x
Thus, rewrite one side (or both) by combining like terms. Option C
2. 2x - 1 = 5x ...... equation A
Solution ;
2x -5x = 1
-3x = 1
x = -1/3
-1 = 3x
Solution;
x = -1/3
Thus, the equations are equivalent. Option A
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Expand and simplify (2x - 1)(x + 3)(x - 5)
Answers
Answer:
2x^3-5x^2-28x+15 -------------------------expanded
2x^3-5x^2-28x+15--------------------simplified
Step-by-step explanation:
\left(2x-1\right)\left(x+3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
simplyfied
\left(2x^2+5x-3\right)\left(x-5\right)
=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)
=2x^3-5x^2-28x+15
Please hurry i need an answer
Answers
Answer:
sum = addition. p+157=171
Step-by-step explanation:
Answer: P + 157 = 171
Step-by-step explanation:
5). Jacob and Madison share a reward of $90 in a ratio of 1 : 4. What fraction of the total reward does Jacob get?
Answers
Answer:
$18
Step-by-step explanation:
RatioRatios are numerical proportions among different values.
Eg. 1 : 4 is 1 to 4.
SolutionGiven Total Shares = 1 + 4 = 5 = $90
Jacob gets 1 share.
1 Share = $90 ÷ 5 = $18
Therefore Jacob gets $18.
Is 83.77 an integer?
Answers
Answer:
It is not a integer, it is a rational number
Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!
Step-by-step explanation:
Every weekday the nursery buys enough milk for 37 children to have 250ml of milk each. An additional two pints per day is bought for the staff.
The milk comes in 4-pint cartons. The price of a carton of milk has increased by 10p.
How much more will the nursery pay for milk each week?
1 litre = 1.76 pints
Answers
Answer:
238.5p or 2.385 pounds per week
Answer: Please ignore the other answers.
Step-by-step explanation:
We stopped using half-pennies in the UK over 50 years ago.
I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.
Translate the figure 2 units legt and 4 units down. What are the coordinates of the image?
Answers
Answer:
\(A_{new}=(-3,0)\\B_{new}=(0,-1)\\C_{new}=(1,-4)\\D_{new}=(-3,-5)\)
Step-by-step explanation:
Looking at the diagram, you can see and determine the following points, write them down:
A=(-1,4)
B=(2,3)
C=(3,0)
D=(-1,-1)
Translating 2 units left means x changes by (-2)
Translating 4 units down means y changes by (-4)
Old Point + Point Change = New Point
\(A_{old}+T=A_{new}\\A_{old}=(-1,4)\\T=Translation=(-2,-4)\\A_{old}+T=(-1,4)+(-2,-4) = A_{new}=(-3,0)\)
\(B_{old}=(2,3)\\C_{old}=(3,0)\\D_{old}=(-1,-1)\\T=(-2,-4)\\B_{new}=(2,3)+(-2,-4)=(0,-1)\\C_{new}=(3,0)+(-2,-4)=(1,-4)\\D_{new}=(-1,-1)+(-2,-4)=(-3,-5)\)
(c) Given that
f(x)=e^{-3x}-4.
g(x)=ln(\frac{1}{x+2}),
TER
x>-2
(i) state the range of f
(ii) find f(x),
(iii) express fg(x) as a polynomial in r.
Answers
The range of function f(x) is Range: (-4,∞), {y|y>-4}.
What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
The given functions are f(x)=e⁻³ˣ -4, x∈R
g(x)=ln(1/x+2), x>-2
(i)
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞,∞), {x|x∈R}
Range: (-4,∞), {y|y>-4}
(ii)
To find the inverse, interchange the variables and solve for y.
f⁻¹(x)=-ln(x+4)/3
(iii) Here, fg(x) is
Replace x by ln(1/x+2) in f(x), we get\(fg(x)=e^{-3(ln(\frac{1}{x+2} ))}-4\)
Therefore, the range of function f(x) is Range: (-4,∞), {y|y>-4}.
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HELP ME PLEASE !!!!!!
Answers
Answer:
A
Step-by-step explanation:
The answer is (a) because that value is the y intercept meaning that it will be the value for price at the beginning of the time frame... in this case in January 2013 which is the beginning of the year.
Hope you find this helpful.
A sample of 81 items is taken from a population with a standard deviation of
45 kilograms. The sample mean is 112 kilograms. What weights are included
in the 68% confidence interval?
A. 92 kilograms to 132 kilograms
B. 102 kilograms to 122 kilograms
C. 107 kilograms to 117 kilograms
D. 97 kilograms to 127 kilograms
Answers
Answer:
C
Step-by-step explanation:
i just took the quiz
The 107 kilograms to 117 kilograms are included in the 68% confidence interval option (C) is correct.
What is a confidence interval?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
We have:
Sample mean X = 112
Standard deviation s = 45
Sample size n = 81
Confidence level = 68%
Z score = 0.9944
\(\rm Confidence \ interval = X\pm Z\dfrac{s}{\sqrt{n}}\)
\(\rm Confidence \ interval = 112\pm 0.9944\dfrac{45}{\sqrt{81}}\)
Confidence interval = 112 ± 4.972
(107.028, 116.972) ≈ (107, 117)
Thus, the 107 kilograms to 117 kilograms are included in the 68% confidence interval option (C) is correct.
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PLEASE HELP IT SHOULD BE EASY FOR YOU GUYS Write a real-life problem to fit the data shown in the graph.
Answers
Answer:
here ya go
Step-by-step explanation:
Albet goes to the park and put a peice of bread for the birds. He olny sees one bird the first day and the bird took one of the bread. the next day, he puts more bread and 2 birds come and each grab a whole peice of bread. The 4th day, he lives some more bread and 4 bird each took a peice. How many birds came the 3rd day and how many peices for breas where there?
I hope this helped!
In the table, which TWO relationships describe a function?
Name Tammy Allen Juan Keshia
Hair Color Red Brown Black Brown
Eye Color Hazel Brown Brown Blue
Responses
A Name as a function of hair colorName as a function of hair color
B Hair color as a function of eye colorHair color as a function of eye color
C Eye color as a function of nameEye color as a function of name
D Eye color as a function of hair colorEye color as a function of hair color
E Hair color as a function of nameHair color as a function of name
F Name as a function of eye color
Answers
The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.
A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.
Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.
Therefore, options A and D are the correct answer.
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M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
Answers
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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What is -(9) fourth power
Answers
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
Right triangles ABC and DBC
Answers
Answer:
The writing is blurry. Please snap again in closer range
Examine the steps below. Between which two lines was a mistake made?
A.
between line 1 and line 2
B.
between line 2 and line 3
C.
between line 3 and line 4
D.
between line 4 and line 5
Answers
Answer:
A and D
Step-by-step explanation:
A- when multiplying -5 and -3 it should be positive 15.
D- when dividing 3 they just outta nowhere forgot about the negative, it should've been -5
Deposits into a bank account are represented by positive numbers. Withdrawals from the
account are represented by negative numbers. Which amount represents a withdrawal of
less than $200 ?
$150
$-250
$250
$-150
Answers
\( \red{answer}\)
$-150
3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
Answers
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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1800 people attended the national day dinner in a certain constituency given that 35.5% of them were man and 40% of them were woman and rest of were was children find the number of children in dinner the answer should be 441
Answers
Its 441 you're right
akal1pqojendii2j1
Answer:
441
Step-by-step explanation:
Total
1800 = 100%
Men
____= 35.5%
\( \frac{35.5 \times 1800}{100} = 639\)
639= 35.5%
Women
___= 40%
\( \frac{40 \times 1800}{100} = 720\)
720= 40%
Children
____= ?%
to find ?
40+35.5= 75.5
100- 75.5= 24.5
____= 24.5%
\( \frac{24.5 \times 1800}{100} = 441\)
441= 24.5%
answer = 441 children
6/10 - 1/5= Pls help
Answers
Answer:
2/5?
Step-by-step explanation:
Answer:
4/10
Step-by-step explanation:
1/5 = 2/10
6/10 - 2/10 = 4/10
(if simplifyed your answer would be 2/5)
i’m so confused with this question, can someone please give me an explanation?
Answers
The value of the sides are;
x = 6
HW = 37
AM = 32
WM = 44
How to determine the valueIt is important to note that one of the properties of an isosceles trapezoid is that the non-parallel sides are equal to each other.
From this deduction, we then have;
HW = AM
Given that;
HW = 6x + 1
AM = 3x + 19
Equate the lengths
6x + 1 = 3x + 19
collect the like terms
6x - 3x = 19 - 1
3x = 18
Make 'x' subject
x = 6
Then, HW = 37 and AM = 37
Substitute the value of x in
HA = 6x - 4 = 32
WM = 4x + 20 = 44
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help please, asap. i need this done
Answers
Answer:
2
Step-by-step explanation:
15/3=5
25/5 = 5
10/2 = 5
Answer:
2
Step-by-step explanation:
You have to find the "pattern."
for 15 and 3, you have to divide 15 by 5 and thats 3.
for 25 and 5, 25/5 is 5, so 10/5 is 2.
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
![Find the missing side. 31 Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/9Wo53l4VJj28ga8aoyl87alnvnYAbri4.jpeg)
Answers
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)
Answers
Answer:
4\(y^{\frac{3}{2} }\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
then
4 \(\sqrt{y^{3} }\)
= 4\(y^{\frac{3}{2} }\)
What is the range of the function f(x) = 3x - 5, for the domain { -1, 2, 4}
Answers
