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solong [7]
2 years ago
9

−4[−5(7−13)−19]2(−1)

Mathematics
1 answer:
nataly862011 [7]2 years ago
5 0
Husband was a great and we can
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Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta
jarptica [38.1K]

Answer:

P(x < 535.8) = 0.64

P_{64} = 535.8

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64  

Calculation the value from standard normal z table, we have,  p(z

\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8

P(x < 535.8) = 0.64

P_{64} = 535.8

8 0
3 years ago
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
oee [108]

Answer:

816 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.

✔️Surface area of the larger rectangular prism:

Area = L*W*H = 20*5*6 = 600 cm²

✔️surface area of the smaller rectangular prism:

Area = L*W*H = 12*4*6 = 288 cm²

✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.

Area = L*W = 12*6 = 72 cm²

Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².

8 0
2 years ago
Ryan bought a sofa on sale for $342. This price was 28% less than the original price.
Snezhnost [94]
The correct answer is $475
5 0
2 years ago
The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality
Goryan [66]

Answer: (a) P(no A) = 0.935

              (b) P(A and B and C) = 0.0005

              (c) P(D or F) = 0.379

              (d) P(A or B) = 0.31

Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = 1-\frac{68}{1052}

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = (\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})

P(A and B and C) = \frac{5736888}{1164252608}

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = \frac{269}{1052} +\frac{130}{1052}

P(D or F) = \frac{399}{1052}

P(D or F) = 0.379

d) Probability of an A or B is also the sum of probabilities of an A and of an B:

P(A or B) = \frac{68}{1052} +\frac{258}{1052}

P(A or B) = \frac{326}{1052}

P(A or B) = 0.31

7 0
3 years ago
If peter piper picks pickled pepers, how many pepers has he picked?
Katena32 [7]
None. They're already pickled so someone else must've picked them before him. 
4 0
3 years ago
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