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3 years ago

9

Find the value of x and the value of y.

1 answer:

Margarita [4]3 years ago

8 0

Answer:

s

wd\\\Step-by-step explanation:

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good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points

borishaifa [10]

Answer:

7. $x=3$

8. l=11cm and w=7 cm

9. $x-5\ge12$

10. $\frac{x}{3}\le15$

Step-by-step explanation:

Question 7.

The given expression is:

$12-3(2x+1)=7x-3(7+x)$

Expand the parenthesis using the distributive property:

$12-6x-3=7x-21-3x$

Group similar terms:

$-6x-7x+3x=-21+3-12$

Simplify

$-10x=-30$

Divide both sides by -10

$x=3$

Question 8:

Let the width of the rectangle be; $w$

The length of the rectangle is $l=w+4$

The perimeter is given as: $P=2(l+w)$

Given that the perimeter P=36, then:

$36=2[(w+4)+w)]$

$\implies 36=2(2w+4)$

Divide both sides by 2:

$\implies 18=2w+4$

Subtract 4 from both sides:

$\implies 18-4=2w$

$\implies 14=2w$

$\implies w=7$

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as $x-5$

"5 fewer than a number is at least 12" becomes

$x-5\ge12$

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

$\frac{x}{3}$

The quotient of a number and 3 is no more than 15 is written as;

$\frac{x}{3}\le15$

4 0

3 years ago

The water level is 8 feet below your dock.

mars1129 [50]

Step-by-step explanation:

The water level is 8 feet below your dock.

The tide goes out, and the water level lowers

2 foot. A storm surge comes in, and the

water level rises 3 feet. Write an addition

expression to find the new water level.

7 0

2 years ago

An $42 item was marked down by 50%<br><br> what is the new cost of the item?

Nataly_w [17]

Answer:

New Cost of item is $\$ 21$

Step-by-step explanation:

Given:

Original Cost of item = $\$ 42$

Item was marked down by $50\%$

To Calculate Cost after $50\%$ marked down we need to multiply original cost by 50 and then divide by hundred.

Cost after marked down = $\frac{42 \times 50}{100}= \$21$

Now New cost of the item is calculated by Subtracting Cost after $50\%$ marked down by Original Cost of item.

New cost of the item = $\$ 42 - \$ 21 = \$21$

7 0

3 years ago

Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%

beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.33$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 5, n = 100$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$M = 2.33*\frac{5}{\sqrt{100}} = 1.165$

So the correct answer is:

1.165.

6 0

3 years ago

he commercial division of a real estate firm is conducting a regression analysis of the relationship between , annual gross rent

blondinia [14]

Answer:

Number of apartment = 9

Step-by-step explanation:

Given the ANOVA result :

ANOVA ____ df ____ SS

Regression __ 1 ___ 41587.1

Residual ____ 7 ___

Total _______ 8 __ 51984.5

Number of apartment building in sample (n) :

Degree of freedom (df) = n - 1

The degree of freedom = total = 8

Hence,

8 = n - 1

8 + 1 = n - 1 + 1

9 = n

Hence, number of apartment building in sample = 9

4 0

3 years ago