Answer:
Step-by-step explanation:
This is a test of 2 population proportions. Let 1 and 2 be the subscript for the children who attended preschool and need social services later in life and children who did not attend preschool and need social services later in life. The population proportion for the children who attended preschool and children who did not attend preschool would be p1 and p2 respectively.
p1 - p2 = difference in the proportion of proportion of the children who attended preschool and children who did not attend preschool .
The null hypothesis is
H0 : p1 = p2
p1 - p2 = 0
The alternative hypothesis is
Ha : p1 < p2
p1 - p2 < 0
it is a left tailed test
Sample proportion = x/n
Where
x represents number of success(number of complaints)
n represents number of samples
For children who attended preschool,
x1 = 38
n1 = 62
p1 = 38/62 = 0.61
For children who did not attend preschool,
x2 = 49
n2 = 61
p2 = 49/61 = 0.8
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (38 + 49)/(62 + 61) = 0.71
1 - pc = 1 - 0.71 = 0.29
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.61 - 0.8)/√(0.71)(0.29)(1/62 + 1/61) = - 0.19/0.08183139728
z = - 2.32
Since it is a left tailed test, we would determine the probability for the area below the z score from the normal distribution table. Therefore,
p = 0.01
Since alpha, 0.05 > than the p value, 0.01, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the the proportion of children who need social services later in life is greater amongst the children who did not attend preschool compare to the ones who did attend preschool.
Find the surface area and use 3.14 for pie
Answer:
640.56ft^2
Step-by-step explanation:
V=2πrh+2πr^2
V=2×3.14×6ft×11ft+2×3.14×6^2
V=6.28×66ft^2+6.28×36ft^2
V=414.48ft^2+226.08ft^2
V=640.56ft^2
A stackable CD rack holds 20 CDs and costs $3. Mark has a collection of 120 CDs. How much will it cost him to buy enough racks to hold all of his CDs?
Answer:
You would need $18 total to buy the racks needed.
Step-by-step explanation:
First, every 20 CDs needs a new rack, so you would divide 120 by 20.
120 / 20 = 6 racks
Second, you would multiply the price ($3) of a rack by how many racks needed.
3 * 6 = $18
Please help I have no idea how to do this and its due in a couple hours
Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful
Step-by-step explanation:
Graceland Farm has two cylindrical water tanks, one for cold and a second for hot water. The hot water tank has a diameter of 8 feet and can hold 503 cubic feet of water. If the cold water tank is shorter than the hot water tank, than how tall can the cold water tank be? Is there more than one solution?
Answer:
h < 10 or (0, 10)
The problem has multiple solutions
Step-by-step explanation:
In this case we can calculate the height of the hot water tank because we know the diameter and volume. The formula is:
V = pi * (r ^ 2) * h
we solve for h:
h = V / (pi * r ^ 2)
the radius is half the diameter, that is, r = d / 2; r = 8/2 = 4
replacing:
h = 503 / (3.1413 * 4 ^ 2)
h = 10
the problem has multiple solutions since they say that it is shorter, shorter is a number less than 10.
solution: h <10 or (0, 10)
7/8 - 3/64 give your awnser in its simplest form
Answer: to
this answer is attached to the picture
Answer:
[tex] \frac{53}{64} [/tex]
Step-by-step explanation:
[tex] \frac{7}{8} - \frac{3}{64} \\ \frac{7 \times 8}{8 \times 8} - \frac{3}{64} \\ \frac{56}{64} - \frac{3}{64} \\ = \frac{53}{64} [/tex]
HELP PLZ no guessing
Answer:
5 1/4
Step-by-step explanation:
Divide 15 3/4 by 3 to get the answer
3(4)+3(2+7)= ×(4+9) what number is missing to make this equation true
Step-by-step explanation:
3 is missinh to make this question true
3×(4+9)
Consider a triangle ABC like the one below. Suppose that C equals 97° a equals 40 and b equals 17 sold the triangle carry your intermediate computations and to at least four decimal places around your house or to the nearest 10th if there are more than one solution use the button labeled or
Answer:
c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17
Step-by-step explanation:
Given that:
C = 97°, a = 40 and b = 17.
We have angle C, we need to find the side the side c opposite to the angle C. we have side a, we need to find the angle A opposite to side a. we have side b, we need to find the angle B opposite to side b.
Using cosine rule:
c² = a² + b² - 2ab × cos(C)
c² = 40² + 17² - 2(40)(17)cos(97)
c² = 2054.74
c = 45.33
Also using sine rule:
[tex]\frac{a}{sin(A)} =\frac{c}{sin(C)} \\\frac{40}{sin(A)}=\frac{45.33}{sin(97)} \\sin(A)=\frac{sin(97))40}{45.33}=0.876\\A=sin^{-1}(0.876)=61.15^0[/tex]
Also:
[tex]\frac{b}{sin(B)} =\frac{c}{sin(C)} \\\frac{17}{sin(B)}=\frac{45.33}{sin(97)} \\sin(B)=\frac{sin(97))17}{45.33}=0.3722\\B=sin^{-1}(0.3722)=21.85^0[/tex]
c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17
hey can someone help me out on this? tysm
Step-by-step proof:
by AAA similarity, triangle WZP is similar to triangle XYP.
so WZ/WY=PZ/PY=1=WP/PX, so we get WP=PX
Answer:
n/a
Step-by-step explanation:
theyre similar by aaa similarity
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
[tex]A_L=2\pi rh[/tex]
6x-2y-3x+2y simplify
Answer:
3x
Step-by-step explanation:
6x-2y-3x+2y
Combine like terms
6x -3x -2y +2y
3x +0
3x
Answer:
3x
Step-by-step explanation:
6x-2y-3x+2y
combine like term
6x-3x= 3x
-2y+2y=0
3x
each leg of a 45 45 90 triangle measures 12cm, what is the length of the hypotenuse
Answer:
12√2
Step-by-step explanation:
Use the Pythagorean Theorem here:
(12 cm)^2 + (12 cm)^2 = 288 cm^2.
The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2
Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.
To solve for the hypotenuse, we will use the Pythagorean Theorem.
The formula to find the hypotenuse is:
a^2 + b^2 = c ^2
We already know that both legs are 12cm, so we can plug them in.
12^2 + 12^2 = c^2
Solve.
144 + 144 = c^2
Add.
288 = c^2
Find the square root of 288.
sqrt(288) = 16.97
Therefore, the square root of 288 is 16.97
If we round 16.97 to 17 and then square it, that would equal 289.
So, the best choice is to leave it as 16.97.
Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.
A cell phone company charges $42 per month of service. The cost of a new
cell phone, plus 8 months of service, is $415.99. How much does it cost to
buy a new cell phone and 3 months of service?
Answer:
$1247.97
Step-by-step explanation:
$42 per month of service
new phone monthly service is $415.99
415.99 x 3 = 1247.97
so there's this cone stuff and i needa know
Hey there! I'm happy to help!
To find the volume of a cone, you take the area of the base, multiply it by the height and divide it by three.
We see that the radius of our base is three. To find the area of the base, we will square the radius and multiply it by 3.14 (formula for area of circle).
3²=9
9×3.14= 28.26
We multiply it by the height.
28.26(2)=56.52
We divide it by three.
56.52/3=18.84
Therefore, the area is 18.84 units cubed.
Now you can find the volume of cones! I hope that this helps! Have a wonderful day!
Which is the answer?
Explain the steps in calculating the mean absolute
deviation of a set of data.
Answer:
Step-by-step explanation:
First, add each number in the set of data. Then, divide the sum by the count of numbers in the data set.
example:
DATA SET:
5 4 7 6
MEAN STEP 1:
5 + 4 + 7 + 6 = 22
MEAN STEP 2:
Since there are four numbers in the data set, divide 22 by four.
Answer:
Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.
Which did you include in your explanation? Check all that apply.
Find the mean of the set of data.
Find the absolute deviations for each point.
Absolute deviation is a data point’s distance from the data set’s mean.
Find the mean of the absolute deviations.
Whats 2x2x2x2x2x2x2x2x2x2x2x2x2
Answer:
8,192....this is the answer
in the given figure, mBC =118°, mBE=76°, and m
a.) the measure of DE is 48°, and triangle BCD is isosceles.
b.) the measure of DE is 83°, and triangle BCD is isosceles
c.) the measure of DE is 48°, and triangle BCD is not isosceles.
d.) the measure of DE is 83°, and triangle BCD is not isosceles.
Answer:
Correct option: A
Step-by-step explanation:
The angle BDC inscribe the arc mBC, so we have that:
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
From the secants relation in a circle, we have that:
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
mDE = 48°
The sum of the arcs is 360°, so we have:
mBC + mCD + mDE + mBE = 360
118 + mCD + 48 + 76 = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle mCBD inscribes the arc mCD, so we have:
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles mCBD and mBDC are equal, so the triangle is isosceles.
Correct option: A
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1)probability of choosing a yellow marble is 6/14 or 3/7(in lowest terms)
2)probability of showing its heads is 1/2
Not all of it fits but if someone could please help me with what they can I would really appreciate it!!
Answer:
1.A≈78.54 2.A≈50.27 3. A≈201.34 4. A≈313.84
Step-by-step explanation:
The volume of a ball is 288pi cm cubed. Find the dimensions of a rectangular box that is just large enough to hold the ball.
Answer:
r = 6 cm
Step-by-step explanation:
The volume of a sphere is 288 pi cm tripled . Find the lenght of a radius of a SPHERE.What is the answer and how did you do it?
-------------------
The volume of a sphere of radius r is:
V+=+4%2Api%2Ar%5E3%2F3
It's r cubed, not tripled. meaning r*r*r
-------------------
288pi+=+4%2Api%2Ar%5E3%2F3
864+=+4r%5E3
r%5E3+=+216
r = 6 cm
Jenny spent 25 minutes doing her reading assignment, and then 1 hour and 15 minutes solving her math homework. What part of this time did she read?
1 hour is 60 minutes.
She spent a total of 60 + 15 + 25 = 100 minutes on home work.
She spent 25 reading, so she spent 25/100 of her time reading.
25/100 reduces to 1/4
Please help me solve this. Also please provide working out.
Answer:
A=238.87 cm
Step-by-step explanation:
First find the area for the rectangle
11*23= 253 cm
then find the area for the little circles
D=3cm so r=1.5cm
Now plug in values into formula
A=π(1.5)^2
A=π(2.25)
A=3.14(2.25)=7.065cm
A=7.065cm since there are two circles
7.065*2=14.13
Now subtract the area of the circles from the rectangle
253-14.13=238.87
Select the correct answer. Based on these segment lengths, which group of segments cannot form a triangle? A. 12, 7, 8 B. 8, 7, 13 C. 1, 2, 3 D. 80, 140, 70
Answer:
D. 80, 140, 70
Step-by-step explanation:
80°, 140° and 70° cannot form a triangle as the total number of the three angles is 290° whereby the total number of angles in a triangle is 180°
Answer:
80, 140, 70
Step-by-step explanation:
because
Scientists determined that Antarctica's average winter temperature was -34.44 degrees Celsius. The difference between this and Antarctica's highest recorded temperature was 49.44 degrees. What was Antarctica's highest recorded temperature? (7th grade work)
Answer:
Antarctica's highest recorded temperature was 15 degrees.
Step-by-step explanation:
I am going to say that Antarctica highest recorded temperature is x.
I suppose there is a small typing mistake.
It is that the difference between Antarctica highest recorded temperature and this is 49.44.
So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.
So
x - (-34.44) = 49.44
x + 34.44 = 49.44
x = 49.44 - 34.44
x = 15
Antarctica's highest recorded temperature was 15 degrees.
Answer:
15 degrees
Step-by-step explanation:
Someone please help me
Answer:
Added 7.4y + 11.2y
Step-by-step explanation:
Let's solve the equation our self and see what the actual solution is,
11.2y - 7.4y = 141.36
→ Multiply everything by 100 to get rid of the decimal's
1120y - 740y = 14136
→ Simplify the 'y' terms
380y = 14136
→ Divide both sides 380 to isolate 'y'
y = 37.2
-------------------------------------------------------------------------------------------------------
The answer is "added 7.4y + 11.2y" because if we use that method then,
7.4y + 11.2y = 141.36
→ Collect the 'y' terms
18.6y = 141.36
→ Divide both sides by 18.6 to isolate y
y = 7.6
Which properties justify the steps taken to solve the system?
{3x−2y=10
{4x−3y=14
Drag and drop the answers into the boxes to match each step.
Answer:
Just took it!
Step-by-step explanation:
80% equals 1200, then what budget is 100%?
Answer:
$1500
Step-by-step explanation:
Let's start by converting 80% to a decimal. 80% means 80/100, or 0.8. Let's call the full budget b.
0.8b=1200
Divide both sides by 0.8 to isolate b:
b=1200/0.8=$1500
Hope this helps!
Can someone pls help! I'm desperate Tickets to a Broadway show cost $50 for adults and $25 for children. The total receipts for 1710 tickets at one performance were $70,250. How many child tickets were sold?
Answer:
41 children
Step-by-step explanation:
do it yourself..
8=9-5x find the value of x
Answer:
[tex]x = \frac{1}{5} [/tex]
Step-by-step explanation:
8-9=-5x
-1=-5x (divide both sides by -5)
x=-1/5 (since they r both negative they both become positive)
x=1/5