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aleksklad [387]
3 years ago
11

Which equation is equal to 4a + 2b = 10

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

2a +b =5

Step-by-step explanation:

4a + 2b = 10

Divide each side by 2

4a/2 +2b/2 = 10/2

2a +b =5

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find the area of a circle with a diameter of four. Either enter an exact answer in terms of Pi or use 3.14 for pi as a decimal ​
Serggg [28]

Answer:

4 pi

Step-by-step explanation:

diameter = 2r

4 =2r

r =2

area = pi × (r)^2

= pi × 2^2

= 4 pi

3 0
3 years ago
The mean weight of an adult is 69 kilograms with a variance of 121. If 31 adults are randomly selected, what is the probability
amid [387]

Answer:

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

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

Also, important to remember that the standard deviation is the square root of the variance.

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 69, \sigma = \sqrt{121} = 11, n = 31, s = \frac{11}{\sqrt{31}} = 1.97565

What is the probability that the sample mean would be greater than 70.5 kilograms?

This is 1 subtracted by the pvalue of Z when X = 70.5. So

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

By the Central limit theorem

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

Z = \frac{70.5 - 69}{1.97565}

Z = 0.76

Z = 0.76 has a pvalue of 0.7764

1 - 0.7764 = 0.2236

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

8 0
3 years ago
Need help question 11
Helga [31]
I am sorry i dont understand

5 0
3 years ago
HELLOOOOOooOOOOOooOOoooOOoo
Viefleur [7K]

Answer:

6. Multiply 2 by 6

7. 71 + 9(8) = 71 + 72 = 143

8. 52 + 3(4) = 12 + 52 = 64

9. 19.25 + 2.75(7) = 19.25 + 19.25 = 38.50

10. 2(0.6)^2 + 4(0.6)(5) = 0.72 + 12 = 12.72

Srry if they r wrong

6 0
3 years ago
What is the base of a rectangle with a height of 12.6 meters and an area of 28.98 square meters? Enter your answer in the box.​
Arada [10]

Answer:

why is brainlys ask a tutor not free anymore I really needed help so I pressed the button and all it said was pay for tutor plus

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