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Andreas93 [3]
3 years ago
10

Martin is building a rectangular fire pit in his backyard. He dug a hole 30 inches by 30 inches. He decides to make each side of

the pit 6 inches longer.
What is the percent increase in the area of the fire pit
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Answer:it is d

Step-by-step explanation:

You might be interested in
Khan sold his cycle at loss of 8%.had He sold it for 240 more he would have gained 12%
denpristay [2]

Khan sold his cycle at loss of 8%.had He sold it for 240 more he would have gained 12%. Then cost price is $ 1200 and selling price is $ 1104

<h3><u>Solution:</u></h3>

Assume the cost price be "a"

So the selling price of cycle = a - 8% of a

\text { selling price }=a-\frac{8 a}{100}=\frac{23 a}{25}

Now according to given, had He sold it for 240 more he would have gained 12%

Selling price + 240 = cost price + 12% profit

\frac{23a}{25} + 240 = a + \frac{12a}{100}

\frac{23a + 6000}{25} = \frac{100a + 12a}{100}\\\\92a + 24000 = 112a\\\\20a = 24000\\\\a = 1200

So the cost price is $ 1200

Now the selling price = \frac{23a}{25} = \frac{23 \times 1200}{25} = 1104

So the selling price is $ 1104

7 0
3 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
crimeas [40]

Answer:

Step-by-step explanation:

Mean = (29.7 + 29.4 + 31.7 + 29.0 + 29.1 + 30.5 + 29.1 + 29.8)/8 = 29.7875

Mean = 29.7875 × 1000 = $29787.5

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (29.7 - 29.7875)^2 + (29.4 - 29.7875)^2 + (31.7 - 29.7875)^2 + (29.0 - 29.7875)^2 + (29.1 - 29.7875)^2 + (30.5 - 29.7875)^2 + (29.1 - 29.7875)^2 + (29.8 - 29.7875)^2 = 5.88875

Standard deviation = √(5.88875/8

s = 0.88

s = 0.88 × 1000 = $880

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0:µ ≤ 30000

For the alternative hypothesis,

H1:µ > 30000

This is a right tailed test.

b) The decision rule is to reject the null hypothesis if the significance level of 0.05 is greater than the probability value. If it is otherwise, we would fail to reject the null hypothesis.

c) Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 8

Degrees of freedom, df = n - 1 = 8 - 1 = 7

t = (x - µ)/(s/√n)

Where

x = sample mean = 29787.5

µ = population mean = 30000

s = samples standard deviation = 880

t = (29787.5 - 30000)/(880/√8) = - 0.68

We would determine the p value using the t test calculator. It becomes

p = 0.26

d) Since alpha, 0.1 < the p value, 0.26, then we would fail to reject the null hypothesis.

6 0
3 years ago
Please help me with this plz
NeX [460]

Answer:

A yes

B  yes

C  No

D  No

Step-by-step explanation:

If it is a function then the first number in the ordered pair is use only one time.

5 0
2 years ago
Which equation represents a proportional relationship?
ruslelena [56]
I believe it’s y=-3x+2
4 0
3 years ago
IM just a little bit slow
viva [34]

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

5 0
3 years ago
Read 2 more answers
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