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lyudmila [28]
3 years ago
14

a pet boarder keeps a dog to cat ratio of 5:2 is it a border has a room 98 animals and how many of them can be dogs

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

I'm not sure how the correct way to do this would be but if you have a ratio that is 5:2 think of it as having 5 groups of animals and 2 groups of animals.

Find the number by dividing the total amount of animals 98/7 = 14.

We know that there are 5 groups of cats, the ratio for 5 cats. 14 x 5 = 70.

The remainder is dogs, which has a ratio of 2:5. 14 x 2 = 28.

70 + 28 = 98.

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In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 a
KATRIN_1 [288]

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

Mean of $2,275 and a standard deviation of $290.

This means that \mu = 2275, \sigma = 290

Sample of 65:

This means that n = 65, s = \frac{290}{\sqrt{65}}

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

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

By the Central Limit Theorem

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

Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}

Z = -5

Z = -5 has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

7 0
3 years ago
Simplify the expression (6^2)^4.
Vlada [557]

Answer:

1679616

Step-by-step explanation:

36^4

7 0
3 years ago
Read 2 more answers
Joanie runs the concession stand for the school's baseball games. At each game, the best selling items are pretzels and hot dogs
Elenna [48]
X is pretzels and y is hot dogs
3x + 2y=195
x +15 =y

3x + 2(x+15)=195
5x=165
x=33
D
4 0
3 years ago
What is the area of this composite shape? Enter your answer in the box. In².
vladimir2022 [97]

The area of the composite shape is the sum of the area of the triangle and the area of the rectangle. The area of the composite shape is 53 in².

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The composite is made up of triangles and rectangles.

The area of the composite shape will be the sum of the area of the triangle and the area of the rectangle.

The area of the triangle will be

\rm  Area\ of\ the\ triangle = \dfrac{1}{2} * 5 * 2\\\\Area\ of\ the\ triangle = 5

The area of the rectangle will be

\rm  Area\ of\ the\ rectangle= 8*6\\\\Area\ of\ the\ rectangle = 48

The area of the composite shape is 48 + 5 = 53.

The area of the composite shape is 53 in².

More about the geometry link is given below.

brainly.com/question/7558603

4 0
2 years ago
Which of the following is a correct equation for the line passing through the
strojnjashka [21]

Answer:

A,B, AND C

Step-by-step explanation:

6 0
3 years ago
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