Answer:
The test statistics is [tex]z = -1.56 [/tex]
The p-value is [tex]p-value = 0.05938 [/tex]
Step-by-step explanation:
From the question we are told
The West side sample size is [tex]n_1 = 578[/tex]
The number of residents on the West side with income below poverty level is [tex]k = 76[/tex]
The East side sample size [tex]n_2=688[/tex]
The number of residents on the East side with income below poverty level is [tex]u = 112[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 < p_2[/tex]
Generally the sample proportion of West side is
[tex]\^{p} _1 = \frac{k}{n_1}[/tex]
=> [tex]\^{p} _1 = \frac{76}{578}[/tex]
=> [tex]\^{p} _1 = 0.1315 [/tex]
Generally the sample proportion of West side is
[tex]\^{p} _2 = \frac{u}{n_2}[/tex]
=> [tex]\^{p} _2 = \frac{112}{688}[/tex]
=> [tex]\^{p} _2 = 0.1628 [/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]p = \frac{k + u}{ n_1 + n_2 }[/tex]
=> [tex]p = \frac{76 + 112}{ 578 + 688 }[/tex]
=> [tex]p =0.1485[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }[/tex]
=> [tex]z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }[/tex]
=> [tex]z = -1.56 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z < -1.56 )[/tex]
From z-table
[tex]P(z < -1.56 ) = 0.05938[/tex]
So
[tex]p-value = 0.05938 [/tex]
Do you think that students should be proficient in addition before learning multiplication?
answer in 175 words! thank you so much :)
Answer:
Yes students should be confident in addition before they proceed to mulplication.This is because addition is the base of multiplication and requires mastery before you start,so It would be much easier to solve
jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?
51 = 11b – 15
Solve for b
Answer:
x = 6
Step-by-step explanation:
51 = 11b – 15
66 = 11b
b = 6
The basketball team scored a total
of 80 points, all off of 2-point
baskets and 3-point baskets (no
they didn't make any free throws). If
six 3-point baskets were made, find
the number of 2-point baskets
made.
Answer:
31 2-point baskets were made
Step-by-step explanation:
We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:
# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62
To find the number of 2-point baskets that were made, divide the points by the worth of the basket:
# of 2-point baskets made = 62/2 = 31
9514 1404 393
Answer:
31
Step-by-step explanation:
6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.
62 = 2b
62/2 = b = 31
31 2-point baskets were made.
Can someone please help, ty!!
Answer:
B i think
Step-by-step explanation:
look into the sky and how many stars do u see
Answer:
its day time rn
Step-by-step explanation:
step by step explanation
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?
The constant is 18
To find distance (d) you would multiply the constant by the time(t).
D = 18t
Distance is speed x time, so the given constant would be the speed of the ant.
What is the interquartile range of the following data set?
45, 12, 48, 96, 61, 84, 29, 1,72,5,14
a.45
b.33
c.27
d.60
(apex)
Answer:
The interquartile range is 60 ⇒ D
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile
Let us explain how to find the interquartile range
Arrange the number from smallest to greatestFind its median Q1 (the middle number in the set of numbers)Find the lower quartile Q1 which is the median of the set of the numbers before the median Find the upper quartile Q3 which is the median of the set of the numbers after the median Subtract Q1 from Q3 the answer is the interquartile rangeLet us do these steps to find it
∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}
→ Arrange them
∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}
∵ They are 11 numbers
∴ The middle number is the 6th number (5 before it and 5 after it)
∵ The 6th number is 45
∴ The median is 45
→ Find the lower set (before the median)
∴ The lower set is {1, 5, 12, 14, 29}
→ Find the lower quartile Q1
∵ The lower quartile is the middle number in this set
∵ There are 5 numbers
∴ The middle one is the 3rd
∵ The 3rd is 12
∴ Q1 = 12
→ Find the upper set (after the median)
∴ The upper set is {48, 61, 72, 84, 96}
→ Find the upper quartile Q3
∵ The upper quartile is the middle number in this set
∵ There are 5 numbers
∴ The middle one is the 3rd
∵ The 3rd is 72
∴ Q3 = 72
→ Subtract them to find the interquartile range
∵ The interquartile range = Q3 - Q1
∴ The interquartile range = 72 - 12
∴ The interquartile range = 60
5. (01.07A MC)
Which number line best shows the position of ? (5 points)
J7
HHHH +
-4 -3
-1 0 1 2
+
4
-2
3
3
7
HHH H
-4 -3 -2 -1 0 1 2 3
+
4
7
HH
-4
-3 -2
-1 0 1 2
3
4
-
OL
7
t. +
3 4 5
-5 -4
-3 -2
-1 0 1 2
Answer:
if u could include a photo it may help more ..thanks
Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold
Answer: 21 cupcakes and 33 cookies were sold.
Step-by-step explanation:
Let x= Number of cupcakes
y = Number of cookies
As per given,
x+y= 54 (i)
Cost: 2.25x+0.25y=55.50 (ii)
Multiply 0.25 to (i0, we get
0.25x+0.25y = 0.25(54)
⇒0.25x+0.25y = 13.5 (iii)
subtract (iii) from (ii), we get
2x=42
Divide both sides by 2, we get x= 21
Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33
Hence, 21 cupcakes and 33 cookies were sold.
Find the value of x
(6x+7) (8x-17)
Answer:
x=12
Step-by-step explanation:
6x+7=8x-17
-6x -6x
7=2x-17
+17 +17
24=2x
÷2 ÷2
12=x
x=12
1 1/2 x 3/4 pls full aswer
Answer:
1.125 or 9/8
Step-by-step explanation:
Will give brain if correct segment addition
Answer:
13) 28
14) 22
15) 24
16)13
Step-by-step explanation:
13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.
14) Same thing as 13, 13+9=22
15) Same thing as others but make an equation
-1+2x+11=3x+3
Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.
3(7)+3=21+3=24
16) build the equation:
x+14+x+10=22
2x+24=22
2x=-2
x=-1
Now plug in x=-1 to x+14.
-1+14=13
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512 ounces
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
multiply the volume value by 128
Can someone help me with Number 7 i’ll give the brainly thingy
Answer:
$9.50
Step-by-step explanation:
Please answer this math questions ASAP thanks the picture is attached !!
Answer:
The answer is C
Step-by-step explanation:
Both f(x) and g(x) have a domain of [0,infinite). and a range of [0, infinite).
Edgar made an initial deposit of $3200 into a deposit account, and plans to contribute an additional $175 every month. The account does not pay any interest. After how many months will he have a total of $6000?
Answer:
16
Step-by-step explanation:
How much does 4 7/5 kg of candy cost if 5/6 of candy costs $7.50?
Answer:
It costs $42.43
Step-by-step explanation:
Answer:
$1.35
Step-by-step explanation:
7.5÷ 5/6=0.25
0.25x4 7/5=1.35
$4.30 makeup; 40% discount
Answer: free makeup
Step-by-step explanation: girl u got it
Answer:
40 percent of $4.30 is $1.72 and the cost of the makeup after the discount would be $2.58
Step-by-step explanation:
What number is 30 percent of 50
Answer:
15 (50*0.3)
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
0.3*50 = 15
Expression for divide the difference between 1200 and 700 by 5
Step-by-step explanation:
(1200-700)/5
=500/5
=
The expression results to 100.
What is Expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given:
divide the difference between 1200 and 700 by 5
so, mathematically
(1200- 700)/5
= 500 /5
= 100
Hence, the expression results to 100.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
solve for brainliestA keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .
Answer:
[tex]his \: reasoning \: is \: correct.[/tex]
Step-by-step explanation:
[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]
PLSSS HELPPPPP ASSAAAPPPP
Answer:
∡BEN=122
x=17
Step-by-step explanation:
Since you know that when two sides are congruent like this then the to angles are congruent then you know that angle BNE equals 29.
Once you know that since we know that 180 is the sum of all three angles set an equation like this:
180=29+29+(11x-65)
Take off parentheses since you can't simplify in them.
180=29+29+11x-65
Combine like terms.
180=11x-7
Solve for x.
187=11x
x=17
Plug that in to (11x-65) to find angle BEN
angle BEN = 11(17)-65
angle BEN=122
Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?
Answer:
Since it is a to-scale model,
the ratio of the wingspan to the length of both the airplanes must be equal
wingspan1 = 200 ft wingspan2 = 30 cm
length1 = 240 ft length2 = x cm
wingspan1 / length1 = wingspan2/length2
replacing the variables
200 / 240 = 30 / x
x = 30 * 240/200
x = 36 cm
Therefore, the length of Emma's airplane is 36 cm
Answer:
Step-by-step explanation:
The Gators football team gained 4 yards on its first play, but lost 9 yards on the
second play. Which of the following best represents the result of these two
plays?
Answer:
-5 yards
Step-by-step explanation:
4 - 9
= -5
in that two plays:
loss 5 yards
what is 1000000000000x0??????
Answer:
0
Step-by-step explanation:
Everything multiplied by 0 is 0.
What is-1 5/6 times 6 1/2
Answer:
-11.9166666667
Step-by-step explanation:
Answer:
-11.9166666667
Step-by-step explanation: I just seached it up
0.02 divided by 924.3
Answer: 0.00002163799
Step-by-step explanation:
Answer:
46,215
Step-by-step explanation:
you just have to divide the bigger number first and then the smallest
in abook 5/8 of the pages have pictures on them given that 70 pages have at least one picture on them work out the total numb in the pages
Answer:
112 pages
Step-by-step explanation:
Setup a ratio of 5/8 to 70/x and use the butterfly method to solve the equation and get 112. (I know I'm late)
Help please.............