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3 years ago

What is the area of the figure? Use 3.14 for π. Round to the nearest hundredth if necessary.

Mathematics

1 answer:

vfiekz [6]3 years ago

7 0

Answer:

81.12 cm²

Step-by-step explanation:

The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.

(3.14 * 4²)/2 + (14 * 8)/2 (Work the operations in parentheses first.)

(3.14 * 16)/2 + 112/2

50.24/2 + 112/2 (Divide 50.24 by 2. Do the same for 112.)

25.12 + 56 (Add 25.12 & 56.)

81.12 cm²

The area of the figure is 81.12 cm².

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What is the slope-intercept form of the function described by this table?

Andru [333]

Answer:

y = - 3x + 4

Step-by-step explanation:

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ ) Point-slope form

y = mx + b Point-intercept form

(1, 1)

(2, - 2)

m = (- 2 - 1 ) / (2 - 1) = - 3

y - 1 = - 3( x - 1 )

y = - 3x + 4

6 0

3 years ago

Please please help

KATRIN_1 [288]

Answer:

g 78 degress

Step-by-step explanation:

6 0

2 years ago

There are 30 balls numbered 1-30 in a bag. One is randomly selected 12 times. What is the probability of getting a prime number

Sliva [168]

Answer: The probability of getting a prime number exactly five times = 0.1908

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.

The probability of getting a prime number p= $\dfrac{10}{30}=\dfrac13$

Number of trials n = 12

Binomial probability formula:

$P(X=x) = \ ^nC_x p^x(1-p)^{n-x}$

, where x= number of successes

n= number of trials.

x = Number of successes

p= probability of getting one success.

The probability of getting a prime number exactly five times:

$P(X=5)=\ ^{12}C_5(\frac13)^5(1-\frac13)^{7}$

$=\frac{12!}{5!7!}(\frac1{243})(\frac{128}{2187})\\\\=0.1908$

Hence, the probability of getting a prime number exactly five times = 0.1908

4 0

2 years ago

What do you do when a dog is ceying

Ugo [173]

You mean crying?

Well, there's a wide range of reasons why the dog is whimpering.
I'd personally contact a vet or do some research.
Although, it may be anxiety or somethiing.

6 0

3 years ago

The World Health Organization is planning a study of the average weight gain of Europeans in the last 5 years. Scientists from t

jeyben [28]

Answer:

B and D

Step-by-step explanation:

Options are

A. Their confidence interval would be less likely to capture the sample mean.

B. The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.

C. They would increase the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.

D. They would decrease the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.

A. Confidence interval is pivoted around mean. So this is an incorrect option.

B. 90% sample values around mean will be included in case of 90% confidence interval and 95% sample values around mean wil be included in case of 95% confidence interval. So this option is correct

C. Margin of error increases with increase in confidence interval as likelihood of a sample value deviating from mean increases. So this is incorrect.

D. same explanation as above

6 0

3 years ago