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3 years ago

6

It costs a baker $18 to make a small cake he sells eight small cakes for $240 how much more is the selling price of each cake th

an the cost

2 answers:

DedPeter [7]3 years ago

8 0

Well 240/8 is 30 and 30-18 is 12 so $12 more.

Novosadov [1.4K]3 years ago

8 0

He selling the cakes for $30- 240/8=30 and 30-18=12 so he is selling the cakes $12 more dollers

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The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than th

Rudiy27

The perimeter of a rectangle = 2(l + w)

l = length

w = width

In this problem,

w = x

l = x + 30

the perimeter = 148

Let's plug our values into the perimeter formula above.

148ft = 2(x + x + 30ft)

Combine like terms.

148ft = 2(2x + 30ft)

Distribute the 2

148ft = 4x + 60

Subtract 60 from both sides

88ft = 4x

Divide both sides by 4

22ft = x

The width = x = 22ft

The length = x + 30 = 22 + 30 = 52ft

8 0

4 years ago

PLEASE ANSWER QUICKLY<br> (I will give first answer Brainliest)

Zina [86]

Answer:

The measure of Angle A is 45.5 degrees

Step-by-step explanation:

In order to find the measure of the angle A, add it to the measures of angle B and C. Since it is an isosceles triangle, we know that B and C have the same measure. Then we set this equal to 180.

A + B + C = 180

2x + 4 + 3x + 5 + 3x + 5 = 180

8x + 14 = 180

8x = 166

x = 20.75

Now we can find the measure of Angle A by putting the value of x in for x.

2x + 4 = A

2(20.75) + 4 = A

41.5 + 4 = A

45.5 = A

3 0

3 years ago

Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

3 0

3 years ago

Could someone explain this?

77julia77 [94]

9514 1404 393

Answer:

2

Step-by-step explanation:

The curve's highest value is -1.

The curve's lowest value is -5.

For a symmetrical wave like this*, the amplitude is half the difference between the highest and lowest values:

1/2(-1 -(-5)) = 2

The amplitude is 2.

_____

* There is no general agreement as to how to compute the amplitude when the wave is asymmetrical. Some authors use the same formula. Some consider the amplitude to be the maximum deviation from average. Some define only a "peak-to-peak" amplitude in those cases. The meaning of "amplitude" in those cases depends on the context in which the question is asked.

8 0

3 years ago

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypot

Nina [5.8K]

Answer: a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level : $\alpha=0.05$

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : $2P(Z>|z|)=2P(Z>|-1.63|)=0.1031$ [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value > $\alpha$

So, we fail to reject the null hypothesis. [When p< $\alpha$ then we reject null hypothesis ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

8 0

3 years ago