Complete Question
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test
Answer:
The p-value is [tex]p-value = 0.0588[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of senior citizens is p = 0.10
The sample size is [tex]n = 225[/tex]
The sample proportion is [tex]\^{p} = 0.14[/tex]
The test statistics is [tex] z \approx = 1.89[/tex]
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.10[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.89 )[/tex]
From the z-table
[tex]P(Z > 1.89 ) = 0.029379[/tex]
=> [tex]p-value = 2 * 0.029379[/tex]
=> [tex]p-value = 0.0588[/tex]
Answer:
No because 0.06>0.05
Step-by-step explanation:
kahn
The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months
Answer: 0.9968
Step-by-step explanation:
Let [tex]\overline{X}[/tex] be the sample mean life of television.
Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]
The probability that the sample mean would be less than 143.4 months will be :
[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]
hence, the required probability = 0.9968
PLEASE ANSWER
What do degrees measure?
A. the incline of an angle
B. the orientation of an angle
C. the type of angle
D. the length of an angle
Answer:
I woulda said B too...
Step-by-step explanation:
determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x + 27) (3x + 6)
Answer:
I don't know what you're saying but the answer is 6x^2+93x+162
Step-by-step explanation:
Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make
Answer:
6
Step-by-step explanation:
18/3=6
Express as a trinomial.
(3x + 3)(3x + 8)
PLEASE HELPPP:)
Answer:
9x^2+33x+24
Step-by-step explanation:
The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.
First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².
Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.
Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x
Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24
Now we add all the products to get the trinomial
9x² + 24x + 9x + 24 = 9x² + 33x + 24
Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
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pls I need help understanding
Answer:
$206.9
Step-by-step explanation:
I need help please!!!!
Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?
Answer:
1¼
Step-by-step explanation:
⅝ ÷½
=⅝ײ/1
=⁵/4
=1¼
Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pizza = 5/8
Equally shared between two people:
= 5/8 ÷ 2
= 5/(8x2)
= 5/16
This means that the fraction of the original pizza that each person receives is 5/16 of the pizza.
Thus,
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
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Refer to Table 9.2. (Data are expressed in billions of dollars).
Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
If the full-employment level of income (YF) in Table 9.2 is $800 billion
A. There is a recessionary gap of $25 billion.
B. The economy is in equilibrium.
C. There is an inflationary gap of $250 billion.
D. There is a recessionary gap of $275 billion.
Answer:
A)There is a recessionary gap of $25 billion.
Step-by-step explanation:
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
Total Private spending = Consumers desire to spend + Investors desire to spend
Total savings = Income - Total private spending
Using these formulas :
Solution Table
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 550 -50
600 375 250 625 -25
700 450 250 700 0
800 525 250 775 25
If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25
So, Option A is true .
What number is 88%of 300?
Answer:
29.33
Step-by-step explanation:
88 is what percent of 300 = 29.33.
Answer:
264
Step-by-step explanation:
im not sure but i had this same thing on a quiz and i got it correct
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.
Answer:
This should help.
Step-by-step explanation:
who helps me do this
Answer:
1. True
2. false.
3. true
4. false
5. true
4276 divided by 16. I need answers
Answer:
267.25
Step-by-step explanation:
4276/16=267.25
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Write an equation that gives the amount of snow that has fallen after x hours at this rate.
Answer:
y = 2x
Step-by-step explanation:
y-int = 0
slope = 2
10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
108cm²
Step-by-step explanation:
3x+x=4x
24÷4x=6
x=6
6×3=18
18×6=108
BRAINLIEST WILL BE AWARDED!!!!!!!!!!!!!!!!!
Answer:
1. = 5
2. = -7
3. = -4
Whats the ratio of 40 to 30 I need help
Answer:
Answer: 75%
Step-by-step explanation:
(a) It takes 37 pounds of seed to completely plant a 6-acre field.
How many acres can be planted per pound of seed?
Can y’all answer both
Answer:
This answer is 67 because I think its the answer and I'm really just trying to get points on early sorry but you are
5. What is the quotient if you divide 9/12 - 1/6
54 hope it helps 54 that what is gave it to me
In the diagram, quadrilateral LMNO is a parallelogram. What is the length of ?
A.
6
B.
5.66
C.
5.39
D.
2.24
Answer:
NP = 5.39
Step-by-step explanation:
This is the answer because opposite diagonals have equal lengths.
In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39
What is a polygon?A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.
A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.
In quadrilateral LMNO:
NP = LP = 5.39 (diagonals bisect each other)
In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39
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which verb would make this statement an example of personification?
the cell phone
a. shook
b. rang
c. danced
d. lit up
A circle’s circumference is 600 m. What is the circle’s area?
a
36,000.17 m^2
b
180,067.87 m^2
c
57,275.17 m^2
d
300,000 m^2
Need this answer asap or My Moms going to KILL me
Answer:
A-36,000.17m^2
Step-by-step explanation:
I need an answer and a explanation so I can do the rest of them
Answer:
N=85 nickels
Q=18 quarters
9514 1404 393
Answer:
equations: q+n = 103; 0.05n +0.25q = 8.75
solution: q=18; n=85
Step-by-step explanation:
Write one equation for the number of coins:
q+n=103.
Write another equation for the value of the coins:
0.05n +0.25q = 8.75.
It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.
0.05(103 -q) +0.25q = 8.75
5.15 +0.20q = 8.75
0.20q = 3.60
q = 18
n = 103 -18
n = 85
Wes has 18 quarters and 85 nickels.
12/3×11/3 why the exponents can not be added
Answer:
The bases are not the same.
Step-by-step explanation:
12/3 is not equal to 11/3
Therefore we cannot add the exponents together.
Hope I helped :)
Answer:
(see below)
Step-by-step explanation:
12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:
1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.
2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:
12³ × 11³ = 1728 × 1331
= 2,299,968
(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]
= 1.216649217 × [tex]10^{19}[/tex]
However, (12 × 11)³ would be equivalent to 12³ × 11³.
(12 × 11)³ = (132)³
= 2,299,968
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree?
To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.
In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.
[tex]9,139-6,016=3,123[/tex]
The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.
[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]
That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.
[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]
That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.
Answer:
I Agree
Step-by-step explanation:
That seems like a fair advantage for people planning to go to college!
Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.
Answer:
Please see attached image
Step-by-step explanation:
The numbers on the upper row should be: 7 6 2
the number in the central disk should be 5
the bottom row should read : 8 4 3
The addition on top row: 7 + 6 + 2 = 15
the addition on bottom row: 8 + 4 + 3 = 15
the addition on the central vertical column: 6 + 5 + 4 = 15
diagonal going down: 7 + 5 + 3 = 15
diagonal going up: 8 + 5 + 2 = 15
Evaluate [4+(15+3)÷9]×7
Answer:
Evaluate [4+(15+3)÷9]×7 equals 42
Step-by-step explanation:
Find the area of the figure.
Answer:
I think its 38 however i could be wrong
Step-by-step explanation:
Self explanatory i just added them
**Put as brainliest if you wish**
Answer:
139yds
Step-by-step explanation:
area of a rectangle is length time width
9(11)=99
area of a triangle is length times width divided by 2
8(10) divided by 2=40
99+40=139
3) If CDEF ≅ MNPQ, then de ≅ _____
A. MN
B. NQ
C. NP
D. PQ
Answer:
c. NP
Step-by-step explanation:
NP is in the same position as DE (the middle)
Write an equation for the line that is parallel to y = 3/5x - 8 and goes through
the point (-15,-23)
Answer:
y=3/5x-14
Step-by-step explanation:
parallel lines have the same slope, so m=3/5
y=mx+b
-23=3/5(-15)+b
-23=-9+b
-14=b
y=mx+b
y=3/5x-14