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professor190 [17]
2 years ago
13

What is the value of the following expression: w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8

Mathematics
1 answer:
velikii [3]2 years ago
4 0

Answer:

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

Step-by-step explanation:

hopes this helps

-Unknown

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What is the amount of discount on a $475 TV if the discount is 15%
ASHA 777 [7]
$475*0.15=$71.25 discount
8 0
3 years ago
Write the equation of the line with slope 8 and passes through the point ( - 9, - 7)
AleksAgata [21]

Answer:

<h2>y = 9x + 65</h2>

Step-by-step explanation:

To find the equation of the line given the slope and a point we use the formula

y -  y_{1} = m(x - x_{1})

where

m is the slope

( x1 , y1) is the point

From the question the slope is 8 and the point is ( - 9 , - 7)

Substitute the values into the above formula and solve for the equation

We have

y  + 7 = 8(x + 9) \\ y + 7 = 9x + 72 \\ y = 9x + 72 - 7

We have the final answer as

<h3>y = 9x + 65</h3>

Hope this helps you

4 0
3 years ago
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica
expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Since M = 75, T = 2.898, n = 18

M = T\frac{s}{\sqrt{n}}

75 = 2.898\frac{s}{\sqrt{18}}

s = \frac{75\sqrt{18}}{2.898}

s = 109.7992

The sample standard deviation is of 109.7992 calories.

6 0
2 years ago
PLEASE HELP MEEEEEEEEEEEEEEEEEE
DerKrebs [107]

Perimeter of the carpet = 21.8 m

Area of the carpet = 29.4 $ m^{2}

<u>Given</u>:

<em>Dimension of the living room:</em>

<em />l = 4.9 $ m\\w = 6 $ m

<em>A. </em><em>Perimeter </em><em>of the carpet = perimeter of a </em><em>rectangle</em>

Perimeter = 2(l + w)

Substitute

Perimeter = 2(4.9 + 6)\\= 21.8 $ m

Perimeter of the carpet = 21.8 m (The digits here are significant)

<em>B. </em><em>Area </em><em>of the carper = </em><em>area </em><em>of a </em><em>rectangle </em>

Area = l \times w

Substitute

Area = 4.9 \times 6\\= 29.4 $ m^{2}

Area of the carpet = 29.4 $ m^{2} (the digits here are significant)

Therefore, considering the rules of significant digits:

Perimeter of the carpet = 21.8 m

Area of the carpet = 29.4 $ m^{2}

Learn more here:

brainly.com/question/12932084

6 0
3 years ago
Wich is greater 18,000 g or 10kg
777dan777 [17]
18 000 grams
1kg=1000g
5 0
2 years ago
Read 2 more answers
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