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2 years ago

Solve for x in the following equation: 4(-5x-6) = 4(9x+4)

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

4 0

Answer:

$- 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428$

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Darsh’s simulated samples:

dusya [7]

Answer:

sample of 100 students

Step-by-step explanation:

The larger the sampl the more diverse your answers/ data will be.

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3 years ago

Read 2 more answers

In a pair of complementary angles, the measure of the larger angle is twice that of the smaller

EleoNora [17]

Answer: 60 degrees

Step-by-step explanation:

6 0

2 years ago

Please help Need help

Anettt [7]

This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****

c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.

8 0

3 years ago

2 fractions between 3/5 and 4/5

Tasya [4]

Convert the fractions to decimals:

3/5=0.6
4/5=0.8

You have to find 2 fractions between these 2 numbers. You could pick anything.

7/10= 0.7 = less than 0.8 but greater than 0.6

75/100=0.75 = less than 0.8 but greater than 0.6

Hope this helps

3 0

3 years ago

A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye

Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we select appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{x}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{x}=\sqrt{n}\sigma$

The information provided is:

μ = $970

σ = $129

n = 102

Since the sample size is quite large, i.e. n = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

$\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)$

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

$P (\sum X \leq 100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}$

$=P(Z$

*Use a z-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0

3 years ago