In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).
Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
Step(i):-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]
Step(ii):-
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
For Carly's birthday celebration her family took her out to eat at her favorite restaurant. The total bill was $135.
Her dad wants to leave an 18% tip.
How much money is the tip?
$
Write each of the following numbers as a power with an exponent to the base 2:16
Given:
The number is 16.
To find:
The given number as a power with an exponent to the base 2.
Solution:
First write the given number as the product of the prime factors.
The factor form of 16 is
[tex]16=2\times 2\times 2\times 2[/tex]
[tex]16=2^4[/tex]
Therefore, the given number 16 as a power with an exponent to the base 2 is [tex]2^4[/tex].
Answer:
2^4
Step-by-step explanation:
What is the answer for 2/5x5/8 ?
What is the slope of the line that passes through the points (-8, 6) and (-5, -3)
Answer: slope is -3
Step-by-step explanation:
Simple, plain, easy
Jose D is looking for a skateboard. He sees one that costs $148. The owner is offering him a 20% discount.. What is the price of the skateboard after the discount and a 7% sales tax?
Answer:
110.112
Step-by-step explanation:
The actual distance between two cities is 2250 miles. The distance between the two cities on a map is 15 inches. What is the scale of the map?
Answer: It should be 1 in. : 150 mi.
Answer:150
Step-by-step explanation:
a year later
solve equation for Y. 23=5x-2y
Answer:
y=5/2x-23/2 or y=2.5x-11.5
Step-by-step explanation:
First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.
helppppp please I will give brainliest
Answer:
y=3/4x
Step-by-step explanation:
A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.
Answer:
C
Step-by-step explanation:
i lied :)
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Linear, exponential or neither?
y= 3x² + 2x + 4
A linear
B exponential
C neither
Answer:
C
Step-by-step explanation:
neither.
linear equations have constant slope. They take on the form of something like y= mx + b
exponential equations have a variable in the exponent. An example of this y= 3^x.
This is a polynomial equation - specifically a quadratic.
All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____.
(2, -5)
(-1, -3)
(-2, 3)
(0, -1)
Answer:
(-1, -3)
Step-by-step explanation:
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer
Could anyone give a hand?
Answer: 73.5
first you work out the total area of this shape.
area: 105
this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.
then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.
you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
Answer:
I believe the answer is 50 ft
Step-by-step explanation:
About how many centimeters larger is it ? Round to the nearest hundretdth
Answer: what is there a picture of it?
Step-by-step explanation:
how many 1/4 cup servings are there in 3/8 cup peanut butter?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 i think
Step-by-step explanation:
1/4:2/8 so it would be 1/4 and 1/8 or 1.5
Multiply and simplify the product. (3 – 5i)(–2 + 4i) Select the product.
Answer:
-20i^2 + 22i - 6
Step-by-step explanation:
(3 - 5i)(-2 + 4i) = -6 + 10i + 12i - 20i^2 = -20i^2 + 22i - 6
if you want to go further,
-20i^2 + 22i - 6 = -2(10i^2 - 11i + 3)
Answer:
14+22i
Step-by-step explanation:
Edge Verified
I need some help please
my answer is the one below but I'm not sure pls give work
Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.
Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?
Part A: Which equation represents the situation?
A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account
Part B: Complete the statement to represent the solution of the equation in context.
Marcellus originally had $___________ in his account.
Answer:
B
Step-by-step explanation:
Part A:
3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.
Part B:
3(m-54) = 381.
You would first divide both sides by 3.
m - 54 = 127
You would now add 54 to both sides.
You now know m = 181.
Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:
He got 16 incorrect
Step-by-step explanation:
Answer:
fraction: 3/4
percent: 75%
Step-by-step explanation:
what is the answer to 2/3 - 4/6
Answer:
0
Step-by-step explanation:
2/3*2/2=4/6. 4/6-4/6=0
the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla.
Unit 3 lesson 16 homework
Answer:
huh what is your question ????
You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute deviation of at most 4 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Answer:28 ≤ x ≤40
Step-by-step explanation:Arrange the data from the smallest to the largest
26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48
Identify the median value
26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48
Getting the median
(33+35)/2 = 68/2 = 34 minutes
You want your time to be last year's median time with an absolute deviation of at most 6 minutes
This mean ±6 minutes, hence this will be 34 ± 6
34+6=40 and 34-6=28
The inequality will be 28 ≤ x ≤40
Identify the equation in slope-intercept form for the line with the given slope that contains the given point.
Slope =3/4; (2,2)
The daily low temperatures from last week are shown below. (The measurement is fahrenheit)
-9, -8, -7, 8, 10, 12, 18
What is the mean low temperature of last week?
A.-2
B.6
C.8
D.10
Answer:
thx for the free points g
if a pineapple costs $p and a mango costs $q, write an algebraic expression, in dollars, in terms of p and q for the total cost of 5 pineapples and 3 mangoes
Answer: 5p + 3q
Explantation: 5 pineapples is going to be multiplied by p, the cost of 1. And 3 mangoes are going to be multiplied by q, the cost of 1. And adding the two totals together gives you the total cost.