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Sedbober [7]
3 years ago
10

Evaluate the following expression 40 -8 - 102

Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

-70

Step-by-step explanation:

40-8-102

= 32 - 102

= -70

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Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
Simplify: (25 + 17) – |37 – 13| A. 15 B. 18 C. 20 D. 21
vaieri [72.5K]

First we solve modulus

| 37-13| =|24|= 24

Now solving Bracket

25+17 = 42

Therefore, 42 - 24 = 18

3 0
3 years ago
Read 2 more answers
La suma de dos números enteros consecutivos es<br> menor que 57.
g100num [7]

Answer: La respuesta es 28 y 29. Tengo que explicar?

7 0
3 years ago
I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal
scoundrel [369]
1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational.  Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. <span>√4 = 2, rational.</span>

√4 + <span>√16 = 2 + 4 = 6. rational
</span>√5 + √36...<span> irrational
</span>√9 + <span>√24... irrational
</span>2 × <span>√4 = 2 × 2 = 4. rational
</span>√49 × <span>√81 = 7 × 9 = 63. rational
</span>3√12... irrational

2. n^\frac12=\sqrtn
9^\frac32=9^3\times\frac12=\sqrt{9^3}=\sqrt{729}=29

3. \frac{n^a}{n^b}=n^{a-b}

\frac{a^\frac13}{a^\frac14}=a^{\frac13-\frac14}=a^{\frac{1}{12}}

4. n^\frac1x=\sqrt[x]n

\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}

5. \sqrt{a}\times\sqrt{b}=\sqrt{ab}

\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6

A, since neither 3 nor 12 is a square but we end up with 6.
5 0
3 years ago
Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i
ella [17]
If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root


if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
8 0
3 years ago
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