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2 years ago

Simplify the expression. Write your answer using decimals.

Mathematics

2 answers:

Leviafan [203]2 years ago

7 0

Answer:

2.4h+2.2

Step-by-step explanation:

4.5h-7.7+9.9-2.1h

To solve this problem, we need to combine like terms.

Because 2.1h is negative, we can subtract it from 4.5h and get 2.4h.

2.4h-7.7+9.9.

We can do the same thing with -7.7 and 9.9. 9.9-7.7=2.2. We have to stop there because constants, numbers without variables, can't be added or subtracted to coefficients, numbers with variables.

Therefore, the simplified equation is 2.4h+2.2.

garri49 [273]2 years ago

5 0

2.4h+2.2
Step-by-step explanation:
4.5h-7.7+9.9-2.1h
To solve this problem, we need to combine like terms.
Because 2.1h is negative, we can subtract it from 4.5h and get 2.4h.
2.4h-7.7+9.9.
We can do the same thing with -7.7 and 9.9. 9.9-7.7=2.2. We have to stop there because constants, numbers without
variables, can't be added or subtracted to coefficients, numbers with variables.
Therefore, the simplified equation is 2.4h+2.2.

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I am Lyosha [343]

6 – 4x – 2 + x.

Combine like terms

= (6 - 2) + (-4x + x)

= 4 - 3x

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Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

Sauron [17]

The graph of a function f(x) = ∛x is shown in the picture, and the domain of the function will be all real numbers.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

f(x) = ∛x

The domain of the function will be all real numbers.

x ∈(-∞, ∞)

The graph will be curved.

Plug x = 0, y = 0

x = 1, y = 1

The graph is shown in the attached picture.

Thus, the graph of a function f(x) = ∛x is shown in the picture, and the domain of the function will be all real numbers.

Learn more about the function here:

brainly.com/question/5245372

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2 years ago

I eat 2 spoons of nuts every day for a week. Then I eat 3 spoons for the following w weeks. How many spoons did I eat on average

Shtirlitz [24]

Answer:

7.5 nuts each day

Step-by-step explanation:

(2*7)+(3*7)=35 spoons of nuts

35*3=105 nuts in two weeks

105/14=7.5 nuts each day

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3 years ago

If the sum of x and 3 is ten ,what is the value of x

olga_2 [115]

Answer:

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3 years ago

The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the

Degger [83]

Using the normal distribution, we have that:

The distribution of X is $X \approx (57,22)$ .

The distribution of $\mathbf{\bar{X}}$ is $\bar{X} \approx (57, 5.3358)$ .

0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem, the parameters are given as follows:

$\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358$

Hence:

The distribution of X is $X \approx (57,22)$ .

The distribution of $\mathbf{\bar{X}}$ is $\bar{X} \approx (57, 5.3358)$ .

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

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

$Z = \frac{58 - 57}{22}$

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

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

$Z = \frac{55 - 57}{22}$

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

$Z = \frac{X - \mu}{s}$

$Z = \frac{58 - 57}{5.3358}$

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

$Z = \frac{X - \mu}{s}$

$Z = \frac{55 - 57}{5.3358}$

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

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8 0

2 years ago