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iris [78.8K]
3 years ago
13

Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the diagonal length of the table top?

Mathematics
2 answers:
Fantom [35]3 years ago
5 0
Use the Pythagoras theorem:-

answer = sqrt (6^2 + 6^2)  =   8.49 ft to nearest hundredth
mario62 [17]3 years ago
5 0

Answer: the answer will be 8.5 round to the nearest tenth

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2. f(x)=4x+1 and ​g(x)=x2−4x−5​, find ​(g◦​f)(4​).
Goryan [66]

Answer:

(g · f)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x² - 4x- 5

(g · f)(x) = 4(x² - 5) + 1

(g · f)(4) = 4(4² - 5) + 1

Following pemdas

(g · f)(4) = 4(16 - 5) + 1

(g · f)(4) = 4(11) + 1

(g · f)(4) = 44 + 1

(g · f)(4) = 45

8 0
1 year ago
Minimum and maximum value of 2n^2+5n-25=0
Alborosie
Equations don't have minimum or maximum, functions do.

Function y=2n^2+5n-25 has minimum -28.125, has no maximum.
8 0
2 years ago
Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an
Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

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 establishes 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.

We have:

Mean \mu, standard deviation \sigma.

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

8 0
2 years ago
The pizza shop owner tells Mr. Lopez that 3 jumbo cookies can feed 10 students.
givi [52]

Answer:

j(x) = [ (3/10) cookie/student ]x

Step-by-step explanation:

The "unit rate" here is  

3 jumbo cookies

------------------------- = (3/10) cookie/student

       10 students

Then the number of cookies needed to feed x students is

j(x) = [ (3/10) cookie/student ]x

5 0
3 years ago
Helppp!!!! please!!!
Ulleksa [173]

Answer:

\boxed{Area = 32.5 mm^2}

Step-by-step explanation:

Area of Triangle = \frac{1}{2} (Base)(Height)

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

5 0
3 years ago
Read 2 more answers
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