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Arlecino [84]
2 years ago
13

Leda is ten years older than Pat. Write an algebraic expression that models Leda’s age with respect to Pat’s age.

Mathematics
2 answers:
iogann1982 [59]2 years ago
7 0

Answer:

  • l = p + 10

Step-by-step explanation:

Let Leda's age is l and Pat's age is p.

<u>The expression would be:</u>

  • l = p + 10
antiseptic1488 [7]2 years ago
6 0

Answer:

L = x + 10

Step-by-step explanation:

where L is Leda's age and x is pats age,pls can i have brainliest

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Find the length of the third side to the nearest tenth.
Aliun [14]

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

8^2 - 6^2 = b^2

64 - 36 = b^2

b = sqrt(28)

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3 years ago
Solve 3^2x =30<br><br> a- log3 (30)/2<br> b- log3 15<br> c- 2(log 3 30)<br> d- log 3 60
noname [10]

(A) is the answer yes is A

6 0
2 years ago
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
2 years ago
A medical school admits 86 new applicants every year, let y represent the number of years and a represent the total of admitted
kkurt [141]

Answer:

a = 86y

Step-by-step explanation:

Given:

Number of applicants per year = 86

Find:

Equation represent total applicants

Computation:

Assume;

Total number of years = y

Total number of applicants = a

So,

Total number of applicants = Number of applicants per year x Total number of years

a = 86 x y

a = 86y

5 0
3 years ago
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