Answer:
There are 4 scores in the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]
We want to find n. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]
[tex]-4\sqrt{n} = -8[/tex]
[tex]4\sqrt{n} = 8[/tex]
Simplifying by 4
[tex]\sqrt{n} = 2[/tex]
[tex](\sqrt{n})^2 = 2^2[/tex]
[tex]n = 4[/tex]
There are 4 scores in the sample.
Which set of numbers may represent the sides of a triangle
A: {2,5,9}
B: {6,6,7}
C {6,4,2}
D {7,8,1}
Answer:
C.(6, 4,2)
since every element of B is also an even number,so is an element of C
Is this right? Help?
Answer:
That is wrong bc it says quotient and quotient means a division sign which i dont see on your answer,
Step-by-step explanation:
The correct answer should be...
3/2x
Im srry if wrong (and the "/" means division)
Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?
Answer:
It's C. g(x) = (1.6)x − 9 + 5
Step-by-step explanation: hope it helps ^w^
Combine Like Terms 4a + 7a
Answer:
[tex]11a[/tex]
Step-by-step explanation:
[tex]4a + 7a = 11a[/tex]
Hope this helps you
Can I have the brainliest please?
( 23 pts )Please answer this math question.
Answer:
25
Step-by-step explanation:
itzcottoncandy556.............
Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?
This is what my kid asked me
Answer:
176 tiles
Steps by step:
The vaccination center located at Watsessing school supplies turkey and
veggie sandwiches to all workers. Mr. Milano organized the ordering of 80
sandwiches in all, 90% of which were turkey. How many turkey sandwiches did
they serve?
2x² + 8x²8x-32
how do find the x and y intercept?
Answer:
Step-by-step explanation:
multiply and divide your equation then subtarct it and you get your answer
write 2/5 as a decimal
Answer:
.4
Step-by-step explanation:
You divide 2 by 5.
2 ÷ 5 = .4
Answer:
I believe 2/5 as a decimal is 0.4.
Step-by-step explanation:
Make the denominator 10 and then simplify to 4/10 following the answer 0.4.
please I need help on maths
Answer:
155
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
360 - (25 x 4) = 260
Each angle = 260/4= 65
A= 180- 65 = 115
I hope im right!!
I need help solving this (4a^2+6a+9)(2a-3)
Answer:
a = 3/2
Step-by-step explanation:
Solve for a over the real numbers:
8 a^3 - 27 = 0
Hint: | Isolate terms with a to the left hand side.
Add 27 to both sides:
8 a^3 = 27
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 8:
a^3 = 27/8
Hint: | Elminate the power on the left hand side.
Take cube roots of both sides:
Answer: a = 3/2
What is the distance between the points (-9 , 23) and (2 , 23) in the coordinate plane
Answer:
d=11
Step-by-step explanation:
d = √[(2 - (-9))^2 + (23 - 23)^2]
= √[(2 + 9)^2 + (0)^2]
= √[11^2 + 0^2]
= √(121 + 0)
= √121
= 11
Therefore, the distance between the points (-9, 23) and (2, 23) is 11 units.
4
Which of the following is a function?
А
B
C
D
Answer:
B)
Step-by-step explanation:
A function is when every input has one output.
Easiest way is to do the "vertical line test" and "horizonal line test."
Basically you draw a vertical line and a horizontal line.
If either line passes through more than one point, then it is not a function.
The only one that passes them is B, the line.
Answer:
B
Step-by-step explanation:
A function is when every input has one output.
Easiest way is to do the "vertical line test" and "horizonal line test."
Basically you draw a vertical line and a horizontal line.
If either line passes through more than one point, then it is not a function.
The only one that passes them is B, the line.
A number divided by negative three is greater than negative three Write the inequality and solve 50 points i need the correct answer asap !!!! Will mark brainiliest !!!
Answer:
No clue, but i would recommend using desmos, mathpapa, quizlet,
Step-by-step explanation:
A right triangle with vertices P(-3,9) Q(-3,5) R(-7,5) is reflected on the y-axis then the image is rotated 180 degrees about the origin. What are the new coordinates of the right triangle?
I cant understand
What two positive consecutive integers have a product of 72
Answer:
32 and 70
Step-by-step explanation:
Given the two triangles shown, find the value of x
Answer: x = 150/6 = 25
Step-by-step explanation:
Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)
The value of x is (Choose...4, 11, 12, 19, 20, 25).
To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:
DE/CB = EF/BA
x/10 = 15/6
x = 150/6 = 25
The value of x in the triangle is 25
The triangle are similar.
What are similar triangles:Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.
Therefore, let's find the value x by establishing the proportion below:
ΔABC ≅ ΔFED
AB / FE = BC / ED = AC / FD
6 / 15 = 10 / x
cross multiply
6x = 150
x = 150 / 6
x = 25
learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults
PLSSS HELP Due in 5 mins!!!
Answer:
a 15
b 42
c 12
trust me
FIRST TWO PLEASE, HELP ASAP! THANK YOU SO MUCH I WILL MARK AS BRAINLIEST!!!
Answer:
Th answer to the first question is 18+6=24 the answer to the second question is 9 weeks
Please mark me brainliest!
Can someone explain the washer method in calculus and help me solve this problem?
Answer:
Step-by-step explanation:
Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?
Answer:
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Step-by-step explanation:
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Plz help with this one I have ten minutes to turn it in! Will give u points! And mark u BRAINLY
Step-by-step explanation:
[tex]f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0[/tex]
Use the bar graph to find the probability of the event
Not spinning a 1
10+8 you add all the data to get your answer
Jillian and her friend went shopping. They were both looking for some new CD's. Jillian went to Music Matrix and spent $25.56 on 4 CD's. Her friend
spent $18.45 on 3 CD's. Who got the better deal? Show your work for each person. Answer who got the better deal and explain your reasoning,
Answer:
Her friend got the better deal.
Step-by-step explanation:
For Jillians equation look at
$22.56/4 = $6.39 per CD
For her friends equation look at
$18.45/3 = $6.15 per CD
Jillian's friend got the better deal because she paid less per CD as shown in the equations above.
PLS HELP ILL GIVE BRAINLIEST
Answer:
y= 2/7
b= 43
Step-by-step explanation:
I had an 8-ounce milkshake. Two ounces in the milkshake were chocolate and the rest is vanilla. What are two equivalent fractions that represent the fraction of the milkshake that was chocolate?
PLEASE SOMEONE HELP ME IM BEGGING YOU THIS IS SO HARD !!! :)) WILL GIVE BRANLIEST IF UR RIGHT
Answer:
Perimeter = 12.246 units
Area = 11.314 units²
Step-by-step explanation:
A=2√2r²=11.314
P=2(8)(√2-√2)=12.246
Which equation has no solution?
PROCESSING BASE ANGLES
OF AN ISOSCELES TRIANGLE
Answer:
m<A = 69°
m<C = 69°
Step-by-step explanation:
From the question given above, the following data were obtained:
AB = AC
m<B = 42°
m<A =?
m<C =?
Since:
AB = AC
Therefore,
m<A = m<C
A + B + C = 180 (sum of angles in a triangle)
C + 42 + C = 180
Collect like terms
C + C = 180 – 42
2C = 138
Divide both side by 2
C = 138 / 2
C = 69°
Finally, we shall determine m<A. This can be obtained as follow:
m<A = m<C
m<C = 69°
Therefore,
m<A = 69°
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Answer: b. 8
Step-by-step explanation: I don’t have work
The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.
Calculation of the radius of the circle;Since
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.
Also we know that
Area of the sector = [tex]65 / 360 *[/tex] Area of circle
[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]
r = 8
Hence, The radius of the circle in inches should be considered as the 8.
Learn more about circle here: https://brainly.com/question/15593101