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trapecia [35]
4 years ago
12

Claudia was cooking breakfast for her entire family she may double the amount of chocolate chip pancakes as she did regular panc

akes she only made half as many blueberry pancakes and she did regular pancakes Claudia also knows her family loves sausage so she made triple the amount of sausage as blueberry pancakes how many of each breakfast items and Claudio make if she cooked 90 items total
Mathematics
1 answer:
maw [93]4 years ago
6 0

Answer: she made 36 chocolate chip pancakes, 18 regular pancakes, 9 blueberry pancakes and 27 sausagesl

Step-by-step explanation:

Let w represent the number of chocolate chip pancakes that she made.

Let x represent the number of regular pancakes that she made.

Let y represent the number of blueberry pancakes that she made.

Let z represent the number of sausages that she made.

she made double the amount of chocolate chip pancakes as she did regular pancakes. This means that

w = 2x

x = w/2

she only made half as many blueberry pancakes and she did regular pancakes. This means that

y = x/2

y = w/4

she made triple the amount of sausage as blueberry pancakes. This means that

z = 3y

z = 3w/4

if she cooked 90 items total, it means that

w + x + y + z = 90 - - - - - - - - - -1

Substituting x = w/2, y = w/4 and z = 3w/4 into equation 1, it becomes

w + w/2 + w/4 + 3w/4 = 90

Multiplying through by 4, it becomes

4w + 2w + w + 3w = 360

10w = 360

w = 360/10

w = 36

x = w/2 = 36/2

x = 18

y = w/4 = 36/4

y = 9

z = 3y = 3 × 9

z = 27

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Further explanation:

Slope is defined as the steepness of any line.

Given

(x1,y1) = (-26,-37)

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The formula of slope is given by:

m=\frac{y_2-y_1}{x_2-x_1}

Putting the values

m=\frac{-61-(-37)}{-32-(-26)}\\=\frac{-61+37}{-32+26}\\=\frac{-24}{-6}\\=4

The slope of given line in simplified form is 4

Keywords: Slope of line, Calculation of slope

Learn more about slope at:

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3 years ago
What is the answer to this problem?
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Step-by-step explanation:

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3 years ago
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Lapatulllka [165]
Hello!

The formula for the area of a sector can be written as follows:

Area = \frac{1}{2}r^{2}(R)

In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:

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Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:

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Reduce the fraction on the right side of the equation:

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We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:

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Simplify the right side of the equation to get the following answer:

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3 years ago
(1 point) The cost of unleaded gasoline once followed an unknown distribution with a mean of $4.59 and a standard deviation of $
marin [14]

Answer:

a) unknown

b) 1.43% probability that the average price for 30 gas stations is less than $4.55.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 4.59, \sigma = 0.1

a) What's the approximate probability that the average price for 16 gas stations is over $4.69?

Sample size less than 30 and unknow distribution. Therefore, the central limit theorem cannot be applied and the answer is unknown.

b) Find the probability that the average price for 30 gas stations is less than $4.55.

Now n = 30, s = \frac{0.1}{\sqrt{30}} = 0.0183

This probability is the pvalue of Z when X = 4.55. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{4.55 - 4.59}{0.0183}

Z = -2.19

Z = -2.19 has a pvalue of 0.0143

1.43% probability that the average price for 30 gas stations is less than $4.55.

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