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3 years ago

What is the value of x for the given equation? 4 – 2(x + 7) = 3(x + 5)

Mathematics

2 answers:

Anarel [89]3 years ago

8 0

4-2x-14=3x+15
-10-2x=3x+15
-2x-3x=15+10
-5x=25
your answer is x=-5

adell [148]3 years ago

5 0

4 - 2(x + 7) = 3(x + 5)
4 - 2x - 14 = 3x + 15
-10 - 2x = 3x + 15
-10 - 15 = 3x + 2x
-25 = 5x
-25/5 = x
-5 = x <==

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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,

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

5 0

3 years ago

4. How much does the landscaper charge for 4 hours of service? $40 O $65 O $110

Kaylis [27]

First of all, you did not tell me much, how much is it for 1 hour of service?

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NikAS [45]

Answer: 16

Step-by-step explanation:

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2 years ago

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Troyanec [42]

The answer is d) 5x2-11x+13

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3 years ago

Find the length of each arc r=13 ft x=90 degrees

VladimirAG [237]

Answer:

$13\pi/2$

Step-by-step explanation:

The formula of the circumference of a circle is $2\pi r$ .

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

$2\pi *13=26\pi$

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

$26\pi*1/4=(13/2)\pi$ or $13\pi/2$

I hope this helps :)

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3 years ago