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storchak [24]
3 years ago
12

Kate baked a rectangular cake for a party she used 42 inches of frosting around the edges of the cake if the cake was 9 inches w

ide how long was the cake
Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0
9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches
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Find the area under one arch of a cycloid described by the parametric equations x = 3(20 - sin 20) and y = 3( I - cos 20). Use 0
Pavel [41]
The parametric equations seem to describe a circle of radius 3. Its area will be
  A = πr² = π·3²

The appropriate choice seems to be
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6 0
3 years ago
A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Eduardwww [97]

Answer:

(A)  H_0 : μ = 22 ; H_A : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, H_0 : \mu = 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, H_A : \mu \neq 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

             T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounces

            n = sample of bottles = 65

(B) So, <u>test statistics</u> =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }

                                  = -2.69

Hence, the value of test statistics is -2.69.

6 0
3 years ago
What is the answer to the following algebra question: 2x + 7(4x + 3) =
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1) Distribute
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30x + 21

Since there are no more like terms, 30x and 21 cannot be combined. Therefore, the answer is 30x+ 21
6 0
3 years ago
Read 2 more answers
Dy/dx ln(xy)=e^(x+y)
Westkost [7]
In(xy) = e^(x+y)

(xy)'/xy  = (x+y)' e^(x+y)

(x'y + xy')/xy = (1+y') e^(x+y)

(y + xy')/xy = (1+y')e^(x+y) and simplify

Hope this helps
4 0
2 years ago
Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value
MAVERICK [17]

Answer:

  $53.61

Step-by-step explanation:

It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...

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Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...

  ($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61

The value is projected to be $53.61 in 2 years.

6 0
2 years ago
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