Answer:
The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
Step-by-step explanation:
Previous analyses have determined that national average adult IQ score is 100.
This means that the null hypothesis is: [tex]H_0: \mu = 100[/tex]
Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average.
This means that the alternate hypothesis that will be tested is:
[tex]H_a: \mu \neq 100[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
100 is tested at the null hypothesis:
This means that [tex]\mu = 100[/tex]
Standard deviation of 15.
This means that [tex]\sigma = 15[/tex]
A random sample of 35 adults from Lower Arlington, yields an average score of 106.
This means that [tex]n = 35, X = 106[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{106 - 100}{\frac{15}{\sqrt{35}}}[/tex]
[tex]z = 2.37[/tex]
Pvalue of the test:
Since z is positive, and we are testing if the mean is different from a value, the pvalue of the test is 2 multiplied by 1 subtracted by the pvalue of z = 2.37.
Looking at the z-table, z = 2.37 has a pvalue of 0.9911
1 - 0.9911 = 0.0089
2*0.0089 = 0.0178
Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
does anyone know what
6 divided by 31.2
2/3 = 1/4k
pleaseeeeeee helppppp
Answer: check out the image hope this helps
Step-by-step explanation:
Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please
Answer:
Step-by-step explanation:
3x-11 = x+9
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
Help..................
PLEASE HELP DUE IN 3 minutes
Answer:
B
Step-by-step explanation:
B option 2nd histograms matches with the data given in table...
4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?
Answer:
The earlier movie starts at 1610 (4:10 PM)
Step-by-step explanation:
The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.
If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).
Good luck!!
Calculate the SQRT485 Express answer to nearest hundredth.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 22.02
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
find the area of the figure use 3.14
Answer:
466.08 m²
Step-by-step explanation:
The figure is composed of a triangle and a semicircle.
Therefore,
Area of the figure = area of the triangle + area of the semicircle
= ½*b*h + ½*πr²
Where,
b = 24 m
h = 20 m
π = 3.14
r = ½ of 24 m = 12 m
Substitute each value into the equation
Area of the figure = ½*24*20 + ½*3.14*12²
= 240 + 226.08
= 466.08 m²
The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation:
portion of square empty = 256 - 153.86 = 102.14cm^2
Eloise spent $1.65 on potato salad that costs $0.25 per pound.
How many pounds of potato salad did she buy?
Answer:
she would be able to buy 6.6
Answer:
its 6.6
Step-by-step explanation:
cause i did that already
Pls help this is due today!
For the following right triangle, find the side length x.
15
Step-by-step explanation:
Pythagorean Theorem
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Now square both sides
x=17
Answer:
x = 17
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 8^{2} + 15^{2}[/tex]
[tex]c^{2} = 64 + 225[/tex]
[tex]c^{2} = 289[/tex]
[tex]\sqrt{c^2} = \sqrt{289}[/tex]
[tex]c = 17[/tex]
Solve. h+ 10.6 = -10.6 h= what
Answer:
h= -21.2
Step-by-step explanation:
Subtract 10.6 from both sides to isolate the h
h + 10.6 = -10.6 - 10.6 -10.6h= -21.2Now lets check the answer
-21.2 + 10.6 = -10.6
-10.6 = -10.6 ✅
I hope this helps!
Ms. Annand baked an apple pie. The boys in the house ate ⅛ of it and the girls ate 3/5. What fraction of the pie did the boys and girls eat altogether? Please answer
Answer:
29/40
Step-by-step explanation:
1/8 + 3/5 =
We need a common denominator.
8 = 2^3
5 = 5
8 and 5 have no common factors, so the LCD is their product.
LCD = 5 * 8 = 40
1/8 + 3/5 =
= 5/40 + 24/40
= 29/40
A number greater than or equal to 41.
Answer:
42
Step-by-step explanation:
¯\_(ツ)_/¯
help help help help help
Answer:
The maximum value is (2,9) I can't really see the question well btw
Select all the expressions that have the same value
so what was the question again?
Answer:
Step-by-step explanation:
A recipe calls for 2 cups flour and 1 1/2 cup milk to make seven servings. Ming has plenty of flour, but only 5 cups of milk. How many servings can he make? Ming can make (answer) servings with 5 cups of milk.
Answer:
21 or 23 servings.
Step-by-step explanation:
Which is the lower rate 165 students on 5 buses or 140 students on 4 buses
Answer:
140 students on 4 buses
which technique is best to use for x² + 4x = 15
U want to go x2 plus x so its x3 then 4x3times -15 so x=3.33333
What is the lateral surface area of this net
Help!!!
9514 1404 393
Answer:
720 square feet
Step-by-step explanation:
The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.
The lateral area is (36 ft)(20 ft) = 720 ft².
Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?
Answer:
60 tiles left over
Step-by-step explanation:
the lobby needs 30 x 8 = 240 tiles.
she has 6 x 50 = 300 tiles
300 - 240 = 60 left over
Find the radius of a sphere whose volume is 12345mm
Answer:
14.34mm
Step-by-step explanation:
The formula for the volume of a sphere = 4/3nr³
where
n = 22/7
r = radius
give the volume of the sphere, we can determine the radius
12345 = 4/3 x 22/7 x r³
12345 = 88/21 x r³
divide both sides by 21/88
r³ = 2945.965909
take the cube root of both sides
r = 14.34 mm
I'll give points and brainalist for answer / explanation
Answer:
D. 8
Step-by-step explanation:
C= 2πr
π= 3.14
C= 25.12
25.12 = 2 * 3.14 * r
r= 4
d= 2r
d= 8
solve for x
please help
Answer:
x = 63.5°
Step-by-step explanation:
To find the value of x in the given right triangle, we would apply trigonometric function.
Reference angle = x
Side length Opposite to x = 17
Hypotenuse length = 19
Apply SOH:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
[tex] sin(x) = \frac{17}{19} [/tex]
[tex] x = sin^{-1}(\frac{17}{19}) [/tex]
x = 63.474648° ≈ 63.5° (nearest tenth)
15, 19, 23, 27.... what is the 52nd term in the arithmetic sequence?
Answer:
219
Step-by-step explanation:
a is the number needed to add from the first to the second which is 4(must be constant)
b is the term zero means 15-a which is 15-4=11
answer fast plz sjsjzjz
Answer:
104
Step-by-step explanation:
Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84
Multiply the second shape: 5 x 4 = 20
8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.
NEED IT ASAP
Answer:
[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]
Step-by-step explanation:
Since we are given the central angle in degrees, we should use the following formula for sector area.
[tex]A= \frac {\theta}{360}* \pi r^2[/tex]
The angle is 42 degrees and the radius is 3 inches. Therefore,
[tex]\theta= 42 \\r=3 \ in[/tex]
[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]
Solve the exponent.
(3 in)²= 3 in*3in = 9 in²[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]
Multiply all three numbers together.
[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]
[tex]A=3.29867228627 \ in^2[/tex]
Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]A \approx 3.3 \ in^2[/tex]
The area of the sector is approximately 3.3 square inches.
Write each product using an exponent. 9 x 9 x 9 x 9 x9
(Will be giving brainliest)
Answer: 9^ 5
Step-by-step explanation: since there is 5 9’s multiplied by each other, it would be 9 to the 5th power.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{9\times9\times9\times9\times9}\\\mathtt{= 81\times 81\times9}\\\mathtt{= 6,561\times9}\\\mathtt{= 59,049}\\\mathtt{= 9\times 9\times 9 \times 9 \times 9 \rightarrow 9^5}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{9^5}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathtt{Good \ luck \ on \ your \ assignment\ \& \ enjoy}}\\\huge\boxed{\mathtt{your \ day!}}[/tex]
pls just look at the pic to find the question