Answer:

**Answer: x=2 Please mark as brainliest**

**Step-by-step explanation: 16+7+4x=x+3x+7**

**combine like terms: 23+4x=4x+7**

**get x to one side: 23=8x+7**

**subtract: 16=8x**

**divide: x=2 **

When Lena went to her friend's sleepover on Friday night, the temperature was –7°F. By the next morning, the temperature had risen to –1°F.What was the change in temperature during the sleepover?

PLZ HELP ME GEOMETRYquestion is below

Please help ALGEBRA II

What is the measure of each angle of a regular 24-gon? If necessary, round to thenearest tenth.

Sin 64degrees=cos x what is the value of x?

PLZ HELP ME GEOMETRYquestion is below

Please help ALGEBRA II

What is the measure of each angle of a regular 24-gon? If necessary, round to thenearest tenth.

Sin 64degrees=cos x what is the value of x?

**Answer:**

$729.00

**Step-by-step explanation:**

The tax is ...

0.08 × $675 = $54.00

So, the total cost of the bike is ...

$675 +54 = **$729.00**

(−10,1)

left parenthesis, minus, 10, comma, 1, right parenthesis

and

(0,−4)(0,-4)

(0,−4)

left parenthesis, 0, comma, minus, 4, right parenthesis

?

**Answer:**

-1/2

**Step-by-step explanation:**

The slope formula can be used:

m = (y2 -y1)/(x2 -x1)

m = (-4 -1)/(0 -(-10)) = -5/10

m = -1/2

**The slope of the line through the given points is -1/2**.

The** slope of the line **passing through (-10, 1) and (0, -4) is -1/2 **the answer is -1/2.**

The** ratio **that **y increase as x increases **is the slope of a line. The slope of a **line reflects **how steep it is, but how much **y increases as x increases**. Anywhere on the line, the** slope stays unchanged **(the same).

We have two points:

**(-10, 1) and (0, -4)**

The slope:

m = -5/10

**m = -1/2**

Thus, the** slope of the line **passing through (-10, 1) and (0, -4) is -1/2 **the answer is -1/2.**

Learn more about the **slope** here:

#SPJ2

**Answer:**

**Step-by-step explanation:**

**Answer:**

79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds

We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.

**Step-by-step explanation:**

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

**Normal probability distribution**

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

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

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.

**Central Limit Theorem**

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

**In this problem, we have that:**

**What is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds? **

This is the pvalue of Z when X = 52 subtracted by the pvalue of Z when X = 48. So

**X = 52**

By the Central Limit Theorem

has a pvalue of 0.8962

**X = 48**

has a pvalue of 0.1038

0.8962 - 0.1038 = 0.7924

79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds

**What sampling distribution should we use to compute this probability?**

We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.

**so first split into two**

now we can factorise each

now the inside of the bracket is the same so we can reconfigure like this

all i did was put the two outside terms together to make (r-s)

this is your answer

(r-s)(r+2t)

**Answer: 3x^4-8x^3-10x+4x/2x^2**

**Step-by-step explanation: JUST SOLVE IT**