The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.
Required:
Find the value of the standardized z-test statistic.
Answer:
Z = -6.3
Step-by-step explanation:
Given that:
[tex]\mathbf{H_o :p= 0.28}[/tex]
[tex]\mathbf{H_o :p < 0.28}[/tex]
Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.
Sample sixe n = 800
[tex]\hat p[/tex] = 0.217
The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]
[tex]S.E(p) \simeq0.015[/tex]
Since this is a single proportional test, the test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]
Z = -6.3
The degree of the expression 4x5ymz is 10. What is the value of m?
Answer:
the answer is 4
Step-by-step explanation:
which is the right andwer?????????? please help me
Answer:
The first one
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight
Answer:
12
Step-by-step explanation:
(3+x)+x=27
2x+3=27
2x=24
x=12
Solve 4X squared minus X -5 equals zero
your answer should be 1/3 if I did my math right
Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)
Answer:
The answer is A
Step-by-step explanation:
i need help!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°
Answer:
A C E
Step-by-step explanation:
What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here
The fraction of the shape which is shaded in simplest form is 1/3.
The square in the diagram provided has a total of 12 boxes .
The number of shaded part is 4
To calculate the shaded fraction of the shape we have to use the formula:
Number of shaded part/ Total number of boxes present.
= 4/12
We can divide the numerator and denominator by 4 to get the simplest form.
= 1/3
The fraction of the shape which is shaded in simplest form is therefore
= 1/3.
Read more about Fraction here https://brainly.com/question/17743912
3. Jane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following: The amount of the finance charge? The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answer:
multiply it by .12 then it says for 12 months, multiply it by 12 then
Step-by-step explanation:
Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Answer: h is 5 and k is 2
Step-by-step explanation:
The equation of the transformed of the parent cube root function is
y = ∛(x-4) - 1.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
The given graph represents a transformation of the parent cube root function.
The Parent cube root function is
y = ∛(x -h) - k
where the value of h and k is equal to 0
h=0, k=0 in parent function
The graph changes direction at (0,0) in parent function.
From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down
So, the value of h=4 and value of k=1
The equation of the transformed function,
y = ∛(x-4) - 1
Learn more about points lying on graph of a function here:
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#SPJ5
Which of the following equations represent linear functions?
y=x2−3x
4x+y=5
y=|2x+1|
y=−5
Answer:
its y=-5x
Step-by-step explanation:
Why?
linear functions have only the slope, they dont include the y-intercept
You are using 1000 feet of fence to create a rectangular enclosure. Let X represents length of the rectangle. Please use proper unit in each answer. A rectangle drawing could help. 1. Express the width of the rectangle in terms of the length X. 2. Express the surface area of the rectangle in terms of X. 3. What value of X gives the maximum surface area. 4. What is the maximum surface area?
Answer:
1. Express the width of the rectangle in terms of the length X.
width = 500 - X
2. Express the surface area of the rectangle in terms of X.
area = -X² + 500X
3. What value of X gives the maximum surface area?
maximum surface area results from the rectangle being a square, so 1,000 ÷ 4 = 250
X = 250 ft
4. What is the maximum surface area?
maximum surface area = X² = 250² = 62,500 ft²
Step-by-step explanation:
since the perimeter = 1,000
1,000 = 2X + 2W
500 = X + W
W = 500 - X
area = X · W = X · (500 - X) = 500X - X² or -X² + 500X
The area of a shape is the amount of space it occupies.
The width in terms of x is 500 - xThe surface area in terms of x is x(500 - x)The value of x that gives maximum surface area is 250 feetThe maximum area is 62500 square feetThe length is represented as x.
Let the width be y.
So, we have:
[tex]\mathbf{Perimeter =2(x + y)}[/tex]
This gives
[tex]\mathbf{2(x + y) = 1000}[/tex]
Divide both sides by 2
[tex]\mathbf{x + y = 500}[/tex]
Make y the subject
[tex]\mathbf{y = 500 -x}[/tex]
So, the width in terms of x is 500 - x
The surface area is calculated as:
[tex]\mathbf{A = xy}[/tex]
Substitute [tex]\mathbf{y = 500 -x}[/tex]
[tex]\mathbf{A = x(500 - x)}[/tex]
So, the surface area in terms of x is x(500 - x)
Expand [tex]\mathbf{A = x(500 - x)}[/tex]
[tex]\mathbf{A = 500x - x^2}[/tex]
Differentiate
[tex]\mathbf{A' = 500- 2x}[/tex]
Equate to 0
[tex]\mathbf{500- 2x = 0}[/tex]
Rewrite as:
[tex]\mathbf{2x = 500}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 250}[/tex]
So, the value of x that gives maximum surface area is 250
Substitute 250 for x in [tex]\mathbf{A = x(500 - x)}[/tex]
[tex]\mathbf{A = 250 \times (500 - 250)}[/tex]
[tex]\mathbf{A = 250 \times 250}[/tex]
[tex]\mathbf{A = 62500}[/tex]
Hence, the maximum area is 62500
Read more about areas at:
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-5x=-6
what is the value of x?
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took the test
Tom bought a new mirror for his house. One side of the mirror is 38 inches and the other side is 30 inches. What is the length of the diagonal of the mirror? a. 68 inches b. 23 inches c. 34 inches d. 48 inches
Answer:
d. 48 inches
Step-by-step explanation:
We assume the mirror is a rectangle
We solve for the length of a diagonal using Pythagoras Theorem
a² + b² = c²
c = √a² + b²
Where c = diagonal
a = 30 inches
b = 38 inches
c = √30² + 38²
c = √2344
c = 48.414873748 inches
Approximately = 48 inches
You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd power. the cost of the material for the base is $0.40 per square cm and the cost of the material for the side is $0.10 per square cm.How to determine the dimension of the box that will minimize the cost of manufacturing. What is the minimum cost? in dollars and rounded to the nearest cent.
Answer:
$69.21
Step-by-step explanation:
Since the box has a square base the length and breadth of the box will be equal. Let it be [tex]x[/tex]
Let h be the height of the box
V = Volume of the box = [tex]620\ \text{cm}^3[/tex]
[tex]x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}[/tex]
Now surface area of the box with an open top is given
[tex]s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}[/tex]
Differentiating with respect to x we get
[tex]\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}[/tex]
Equating with zero
[tex]0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74[/tex]
Double derivative of the function
[tex]\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0[/tex]
So, x at 10.74 is the minimum value of the function.
[tex]h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37[/tex]
So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.
The total area of the sides is [tex]4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2[/tex]
The area of the base is [tex]x^2=10.74^2=115.35\ \text{cm}^2[/tex]
Cost of the base is $0.40 per square cm
Cost of the side is $0.10 per square cm
Minimum cost would be
[tex]230.7\times 0.1+0.4\times 115.34=\$69.21[/tex]
The minimum cost of the box is 69.21 dollars.
4xº
(2x – 6°
33°
A. x= 31, y = 91
B. x= 31, y = 116
C. x = 56, y=91
D. x= 56, y = 116
DONT ANSWER WAIT 5 MINUTES LM AO
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Answer:
thankssssssssss cuhhhhhhh
Step-by-step explanation:
lm ao like if they are gonna wait lol
I need some help with these, I would appreciate it.
^DEF and ^RSQ are shown in the diagram below
Based on the information provided in the diagram, what is mZQ in degrees?
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
f(x) = 4x + 2 and g(x) = x2–2, find the value of f(2) +g(3)
Answer:
14
Step-by-step explanation:
f(2)=4(2)+2
f(2)=10
g(3)=2(3)-2
g(3)=6-2
g(3)=4
10+4=14
Answer:
17
Step-by-step explanation:
f(x) = 4x + 2
g(x) = x² - 2
f(2) = 4(2) + 2 = 10
g(3) = 3² - 2 = 7
10 + 7 = 17
Could anybody please help me here from this picture? I am not sure which pair of sides can be congruent.
Answer: A) segment AB = segment AD
The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.
Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?
Answer:
10 apples
Step-by-step explanation:
if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20
eqaution: 10 divided by 2
plz help me
is 7/3 less than 6
Answer:
yes
Step-by-step explanation:
I figured this out by determining how many times 3 fits into 7.
7/3 is equal to 2 and 1/3
2 1/3 < 6
Hope this helps <3
please give brainliest
What is 3 to the 4th power
Answer:
3 to the 4th power is 81.
Step-by-step explanation:
You would do 3 × 3, which would get you to 9. Then, you multiply 9 × 9, which gives you 81.
There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?
Answer:
There are 64 trucks!
Step-by-step explanation:
John puts $1,500 in a savings account that earns 7% simple interest annually. Find the new
balance in his savings account after three years if John does not deposit or withdraw any
money.
Answer:
$1,815
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the values we know:
I = prt
I = (1,500)(0.07)(3)
I = 315
Add this to the original amount:
1500 + 315
= 1,815
So, John will have $1,815 in his account after 3 years.
Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.
Answer:
$2,639.19
Step-by-step explanation:
Her balance at the end of the month is
$2358.19 - $80.00 + $99.50 = $2537.69
So the finance charge is 2537.69 * 0.04% = $101.50
and her new balance is $101.50 + $2537.69 = $2639.19
The table shows the weights of apples at a grocery store
Answer:
c
Step-by-step explanation: