Which statement describes the linear graph

Find three points that solve , then plot on the graph. -2x-3y=-7

Fittoniya [83]

Hello,
The points are:
(2,1); (1,5/3); (5,-1)

Bye:-)

4 0

3 years ago

Casandra is training for 10 mile race. On the first day of training she runs 4 miles, each day after that she adds on 0.5 mile.

Naddik [55]

On day no 9, because to increase her mileage by 4 to reach 8 it will take her 4/0.5=8 days plus day 1 where she ran just 4 miles.

8 0

3 years ago

Read 2 more answers

Math homework help exponents

Len [333]

Answer + Step-by-step explanation:

$\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5$

$\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}$

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$(4^8)^3 = a^{8 \times 3}=a^{24}$

$\text{used property :} \ \ \ (a^n)^m = a^{n \times m}$

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$10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}$

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15⁶ × 15³ = 15⁶⁺³ = 15⁹

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Recall : If a ≠0 ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0 ⇒ (6⁸)⁰ = 1

6 0

1 year ago

Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random

Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

Let $\bar X$ = sample mean

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = $50,000

$\sigma$ = population standard deviation = $25,000

n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P( $\bar X$ > $52,000)

P( $\bar X$ > $52,000) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } }$ ) = P(Z > 2.53) = 1 - P(Z $\leq$ 2.53)

= 1 - 0.9943 = 0.0057

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0

2 years ago

Which statement comparing x² + 10 and x + x + x is true when x=−5 ?

Lina20 [59]

X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.

The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.

3 0

2 years ago