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2 years ago

Alana spent 21 dollars of her 300 dollar paycheck on a gift . What percent of her paycheck was spent on the gift

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

4 0

7% of her paycheck was spent on the gift

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

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

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

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3 years ago

Newberg is 5 miles due north of the airport, and Rockport is 12 miles due east of the airport. How far apart are Newberg and Roc

amid [387]

Step-by-step explanation:

No of miles Newberg is north of airport = 5

No of miles Rockport is east of the airport = 12

No of miles Newberg and Rockport are apart = 12+5 =17

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3 years ago

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Reika [66]

Answer:

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Step-by-step explanation:

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3 years ago

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Ivenika [448]

Answer:

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Step-by-step explanation:

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3 years ago

Write the expression 2 3/5 as a radical.

vitfil [10]

<span>Write the expression 2 3/5 as a radical.

</span> $2^{ \frac{3}{5}}= \sqrt[5]{2^3}$ <span>
</span>

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2 years ago