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3 years ago

Which of the following best describes the circumference of a circler

Mathematics

2 answers:

Ivanshal [37]3 years ago

5 0

The distance around it

givi [52]3 years ago

3 0

Answer: the distance around the circle

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There are three numbers: x, y, and z. The sum of these three numbers is 24. The second number is five times the first number. Th

dimulka [17.4K]

The three numbers are x, y, z
The sum of the three numbers = x + y + z = 24

Let the first number = x
The second number is five times the first number = y = (x + 5)
The third number is twice as much as the second number = z = 2y = 2(x + 5)

The sum of these numbers = 24
x + y + z = 24

Substituting the values of y and z in terms of x

x + (x + 5) + 2(x + 5) = 24
x + x + 5 + 2x + 10 = 24
4x + 15 = 24
4x = 24 - 15
4x = 9
x = 9 ÷ 4
x = 2.25

Therefore,
x = 2.25
y = (x + 5) = 2.25 + 5 = 7.25
z = 2(x + 5) = 2(2.25 + 5) = 2 x 7.25 = 14.5

Sum of the three numbers = x + y + z = 2.25 + 7.25 + 14.5 = 24

5 0

4 years ago

The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In 7 traffic

Luden [163]

Answer:

$P(X=3)=0.2903\\\\P(X \geq 3)=0.5801\\\\P(X\leq 3)0.7102$

$P(2\leq x\leq 4 )=0.7451$

c. mean=2.8

d . standard deviation=1.2961

Step-by-step explanation:

We determine that the accident rates follow a binomial distribution. The rate of success p=0.4 and sample n=7:

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

#the probability of exactly three;

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={7\choose 3}0.4^3(0.6)^{4}\\\\=0.2903$

#At least(more than 2)

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 3)=1-P(X\leq 2)\\\\=1-{7\choose 0}0.4^0(0.6)^{7}-{7\choose 1}0.4^1(0.6)^{6}-{7\choose 2}0.4^2(0.6)^{5}\\\\=1-0.0280-0.1306-0.2613\\\\=0.5801$

#At most 3;

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X \leq 3)={7\choose 0}0.4^0(0.6)^{7}+{7\choose 1}0.4^1(0.6)^{6}+{7\choose 2}0.4^2(0.6)^{5}+{7\choose 3}0.4^3(0.6)^{4}\\\\\\\=0.0280+0.1306+0.2613+0.2903\\\\=0.7102$

b. Between 2 and 4:

Using the binomial expression, this probability is calculated as:

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(2\leq x\leq 4 )={7\choose 2}0.4^2(0.6)^{5}+{7\choose 3}0.4^3(0.6)^{4}+{7\choose 4}0.4^4(0.6)^{3}\\\\\\\\\=0.2613+0.2903+0.1935\\\\=0.7451$

Hence,the probability of between 2 and four is 0.7451

c. From a above, we have the values of n=7 and p=0.4.

-We substitute this values in the formula below to calculate the mean:

-The mean of a binomial distribution is calculated as the product of the probability of success by the sample size, mean=np:

$\mu=np, n=7, p=0.4\\\\\mu=7\times 0.4\\\\=2.8$

Hence, the standard deviation of the sample is 2.8

d. From a above, we have the values of n=7 and p=0.4

--We substitute this values in the formula below to calculate the standard deviation

-The standard deviation a binomial distribution is given as:

$\sigma={\sqrt {np(1-p)}\\\\=\sqrt{7\times 0.4\times 0.6}\\\\=1.2961$

Hence, the standard deviation of the sample is 1.2961

4 0

3 years ago

Find the coordinates of Cif B(5,-4) is the midpoint of AC and A has coordinates of (7,3).

olga_2 [115]

C(3,-11)
(I have to use up extra room or else it won’t submit)

7 0

3 years ago

The following triangles are congruent by____ AAS SAS ASA Can't determine

tatyana61 [14]

Asa. Angle side angle

5 0

3 years ago

Find the length of a rectangle given that the perimeter is 192 feet and the length is 3 times the width.

djyliett [7]

Answer:

The length is 72 feet.

Step-by-step explanation:

Equations

2L+2W=192

L=3W

Solving/Substitution

2(3W)+2W=192

8W=192

W=192/8=24

L=24*3=72

The length is 72 feet.

The width is 24 feet.

6 0

3 years ago