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3 years ago

Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5). PLEASEEEE HELPPP I NEEEDDD HELP

Mathematics

1 answer:

lbvjy [14]3 years ago

5 0

Answer:

-36 • (22u + 1)

Pulling out like terms :

2.1 Pull out like factors :

-74u - 5 = -1 • (74u + 5)

Equation at the end of step 2 :

(6 • (58u + 1)) - -6 • (74u + 5)

Step 3 :

Equation at the end of step 3 :

6 • (58u + 1) - -6 • (74u + 5)

Step 4 :

Pulling out like terms :

4.1 Pull out 6

Note that -6 =(-1)• 6

After pulling out, we are left with :

6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

-132u - 6 = -6 • (22u + 1)

Final result :

-36 • (22u + 1)

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Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of grams of fat per pound

STatiana [176]

Complete question is:

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 34 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Answer:

Probability = 0.0277

Step-by-step explanation:

We are given;

Mean: μ = 32

Standard deviation;σ = 7

Random sample number; n = 34

To solve this question, we would use the equation z = (x - μ)/(σ/√n) to find the z value that corresponds to 29.7 grams of fat.

Thus;

z = (29.7 - 32)/(7/√34)

Thus, z = -2.3/1.200490096

z = -1.9159

From the standard z table and confirming with z-calculator, the probability is 0.0277

Thus, the probability to select 34 fish whose average grams of fat per pound is less than 29.7 = 0.0277

7 0

3 years ago

Jessica has 12 square tiles that she

Stolb23 [73]

Answer:

List the factors of 12

1,12

2,6

3,4

That is the side lengths of the 3 rectangles

All the areas will be 12 because they are the factors 12

factors multiply to be a number

(length + width) x 2 = perimeter

1+12=13x2=26

1 by 12 has a perimeter of 26 and area of 12

2 by 6 has a perimeter of 16 and area of 12

3 by 4 has a perimeter of 14 and area of 12

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

3 0

3 years ago

(b) Simplify 5(x + 3) - x + 2

Pavel [41]

Answer:

5x+15-x+2

4x+15+2

4x+17

5 0

3 years ago

Read 2 more answers

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviat

Mnenie [13.5K]

Answer:

B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.

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 normal distributions can be solved using the z-score formula.

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

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

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 $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

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

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

$\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71$

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

$\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585$

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the shape is approximately normal.

Mean: $\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6$

Standard deviation:

$s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92$

So the correct answer is given by option b.

3 0

2 years ago

What is the area that f the polygon?

anzhelika [568]

Answer:

Area of polygon = 16.11 square cm

Step-by-step explanation:

From the figure we can divide the polygon into two quadrilateral,

1) a square with side 3.6 cm

2) a rectangle with dimensions 2.1 x 1.5

To find the area of square

Area = side x side = 3.6 x 3.6

= 12 .96 square cm

To find the area of rectangle

Area = Length x Breadth

= 2.1 x 1.5 = 3.15 square cm

Area of polygon

Area = 12.96 + 3.15 = 16.11 square cm

8 0

2 years ago