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liq [111]
3 years ago
10

-2x+8x=20 ans can you please include the steps. Thank you

Mathematics
2 answers:
sladkih [1.3K]3 years ago
3 0

Hope this helps :).    

Elodia [21]3 years ago
3 0
-2x + 8x =20

6x=20
_ _
6 6

x= 10
_
3
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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard devi
kotykmax [81]

Answer:

0.35% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302.

This means that \mu = 1479, \sigma = 302

The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 2294. So

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

Z = \frac{2294 - 1479}{302}

Z = 2.7

Z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035*100% = 0.35%

0.35% of students from this school earn scores that satisfy the admission requirement.

6 0
3 years ago
Determine if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 4.1, 8.2, 12.2
goldfiish [28.3K]
Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

 4.1 + 8.2 \ \textgreater \  12.2 \\
12.3 \ \textgreater \  12.2 \\
true
They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if c^2=a^2+b^2, the triangle is right
- if c^2\ \textless \ a^2+b^2, the triangle is acute
- if c^2\ \textgreater \ a^2+b^2, the triangle is obtuse

4.1^2+8.2^2=16.81+67.24=84.05 \\
12.2^2=148.84 \\ \\
148.84\ \textgreater \ 84.05
The triangle is obtuse.

The answer is D.
4 0
3 years ago
Help please! which choice represents the fraction below as a single exponential expression?
elixir [45]

Answer:

B

Step-by-step explanation:

use the exponent rule of division: you just subtract the exponents if the base is the same, so 4-8=-4

5 0
3 years ago
Helllp please someone
alexandr1967 [171]

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

3 0
3 years ago
Read 2 more answers
type the slope intercept equation of the line that passes through the point (1,1)&(7,4) enter fraction in simplest form
9966 [12]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 1}})\quad 
%   (c,d)
&({{ 7}}\quad ,&{{ 4}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{4-1}{7-1}\implies \cfrac{3}{6}\implies \cfrac{1}{2}

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-1=\cfrac{1}{2}(x-1)\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-1=\cfrac{1}{2}x-\cfrac{1}{2}\implies y=\cfrac{1}{2}x-\cfrac{1}{2}+1\implies y=\cfrac{1}{2}x+\cfrac{1}{2}
5 0
3 years ago
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