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vovangra [49]
3 years ago
9

Solve the variable for 27=x-5

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0
The value: x = 27-5 = 22
deff fn [24]3 years ago
3 0

Answer:

x=32

Step-by-step explanation:

27=x-5

+5   +5

32=x

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Sara sold 220 shirt. The ratio of short sleeve 7:3
Vikki [24]
It is 293 in total it is like 220 plus 73 and it is 293
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6. Erin wants to have more than $150 before she goes shopping for gifts for
murzikaleks [220]

Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.

Step-by-step explanation:

7.50h < 150  divide each side of the equation by 7.50

h=20

6 0
3 years ago
Solve the following variation problem.
julia-pushkina [17]

From the calculation done below, the interest when the rate is 9% is $101.25.

<h3>How interest is calculated using direct variation?</h3>

Since the interest on investment varies directly as the rate of interest, the relevant direct variation formula to use to calculate investment is as follows:

i = kr ................................. (1)

Where:

i = interest amount = $45

k = investment = ?

r = interest rate = 0.04

Substituting the values into equation (1) and solving for k, we have:

45 = k0.04

k = 45 / 0.04

k = $1,125

To find the interest when the rate is 9%, we substitute k = $1,125 and r = 9% into equation (1) as follows:

i = $1,125 * 9% = $101.25

Learn more about interest here: brainly.com/question/26457073.

#SPJ1

8 0
2 years ago
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po
mina [271]

Answer:

(a) The point estimate for the population proportion <em>p</em> is 0.34.

(b) The margin of error for the 99% confidence interval of population proportion <em>p</em> is 0.055.

(c) The 99% confidence interval of population proportion <em>p</em> is (0.285, 0.395).

Step-by-step explanation:

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean \bar x is a point estimate of the population mean <em>μ</em>.

Similarly, the the point estimate of the population proportion of a characteristic, <em>p</em> is the sample proportion \hat p.

The (1 - <em>α</em>)% confidence interval for the population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The margin of error for this interval is:

MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

\hat p=0.34\\n=500\\(1-\alpha)\%=99\%

(a)

Compute the point estimate for the population proportion <em>p</em> as follows:

Point estimate of <em>p</em> = \hat p = 0.34

Thus, the point estimate for the population proportion <em>p</em> is 0.34.

(b)

The critical value of <em>z</em> for 99% confidence level is:

z={\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

*Use a <em>z</em>-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion <em>p</em> as follows:

MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

          =2.58\sqrt{\frac{0.34(1-0.34)}{500}}

          =2.58\times 0.0212\\=0.055

Thus, the margin of error for the 99% confidence interval of population proportion <em>p</em> is 0.055.

(c)

Compute the 99% confidence interval of population proportion <em>p</em> as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

CI=\hat p\pm MOE

     =0.34\pm 0.055\\=(0.285, 0.395)

Thus, the 99% confidence interval of population proportion <em>p</em> is (0.285, 0.395).

6 0
4 years ago
A box contains red green and blue marbles. There are 600 marbles in the box. The ratio of red to green to blue marbles is 3:5:7,
lana [24]

Answer:

Step-by-step explanation:

Give the ratio of red to green to blue marbles to be 3:5:7

Total ratio = 3+5+7 = 15

Total marbles = 600marbles

Amount of red = ratio of red/total ratio × 600

Amount of red marbles = 3/15 × 600

Amount of red marbles = 3×40 = 120marbles

Amount of green marbles = 5/15×600

Amount of green marbles = 5×40 = 200marbles

Amount of blue marbles = 7/15×600

Amount of blue marbles = 7×40 = 280marbles

4 0
3 years ago
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