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3 years ago

Is it 8 or 9? please clarify the correct answer, thx

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer: x = 9

Step-by-step explanation:

(5x + 13) + (13x + 5) + (5x + 13) + (13x + 5) = 360

36x + 36 = 360

36x = 324

36/36 x = 324/36

x = 9

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a woman who is 64 inches tall has a shoulder width of 16 inches. write an equation relating the height h to the width w.find the

Sedbober [7]

Height = 4width

height = 4(18.5)

height = 74 inches for a woman who has a shoulder width of 18.5 inches

8 0

3 years ago

Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is

nydimaria [60]

Answer:

(1) 4.09% of the New York City commutes are for less than 26 minutes.

(2) 14.32% are between 26 and 32 minutes.

(3) 54.23% are between 26 and 40 minutes.

Step-by-step explanation:

We are given that the longest one-way travel time is in New York City, where the mean time is 38.5 minutes.

Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes.

Let X = travel times in New York City.

So, X ~ Normal( $\mu=38.5,\sigma^{2} =7.2^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean travel time = 38.5 minutes

$\sigma$ = standard deviation = 7.2 minutes

(1) The percent of the New York City commutes that are less than 26 minutes is given by = P(X < 26 minutes)

P(X < 26 minutes) = P( $\frac{X-\mu}{\sigma}$ < $\frac{26-38.5}{7.2}$ ) = P(Z < -1.74) = 1 - P(Z $\leq$ 1.74)

= 1 - 0.9591 = 0.0409 = 4.09%

The above probability is calculated by looking at the value of x = 1.74 in the z table which has an area of 0.9591.

(2) The percent of the New York City commutes that are between 26 and 32 minutes is given by = P(26 min < X < 32 min) = P(X < 32 min) - P(X $\leq$ 26 min)

P(X < 32 min) = P( $\frac{X-\mu}{\sigma}$ < $\frac{32-38.5}{7.2}$ ) = P(Z < -0.90) = 1 - P(Z $\leq$ 0.90)

= 1 - 0.8159 = 0.1841

P(X $\leq$ 26 min) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{26-38.5}{7.2}$ ) = P(Z $\leq$ -1.74) = 1 - P(Z < 1.74)

= 1 - 0.9591 = 0.0409

The above probability is calculated by looking at the value of x = 0.90 and x = 1.74 in the z table which has an area of 0.8159 and 0.881 respectively.

Therefore, P(26 min < X < 32 min) = 0.1841 - 0.0409 = 0.1432 or 14.32%.

(3) The percent of the New York City commutes that are between 26 and 40 minutes is given by = P(26 min < X < 40 min) = P(X < 40 min) - P(X $\leq$ 26 min)

P(X < 40 min) = P( $\frac{X-\mu}{\sigma}$ < $\frac{40-38.5}{7.2}$ ) = P(Z < 0.21) = 0.5832

P(X $\leq$ 26 min) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{26-38.5}{7.2}$ ) = P(Z $\leq$ -1.74) = 1 - P(Z < 1.74)

= 1 - 0.9591 = 0.0409

The above probability is calculated by looking at the value of x = 0.21 and x = 1.74 in the z table which has an area of 0.5832 and 0.881 respectively.

Therefore, P(26 min < X < 40 min) = 0.5832 - 0.0409 = 0.5423 or 54.23%

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4 years ago

Which line segment could be the diameter of this circle?

8_murik_8 [283]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Travis drank 2/3 liter of water then he drank 3/4 of water how much water did he drink all together what is the answer as a mixe

OleMash [197]

Answer:

well, 2/3 is 8/12 and 3/4 is 9/12 and when you add 8/12 and 9/12 you get

1 5/12

7 0

3 years ago

A package of Toys Galore Cereal is marked "Net Wt. 13 oz." The actual weight is normally distributed, with a mean of 13 oz and a

babunello [35]

The solution to the Questions are

P(z<0)=50%
W=18.08oz

<h3>What weight will be exceeded by 2.3% of the packages? </h3>

where

u=13

n^2=0.16

$\sigma=\sqrt{0.16}\\\\\sigma=0.4$

Generally, the equation for is mathematically given as

$X-N(u=13,\sigma=0.4)$

p(x<14)=P(z<\frac{13-13}{0.4})

P(z<0)

P=0.5

Therefore

P(z<0)=50%

In conclusion

W=(u+2\sigma)

W=(13+2*0.4)

W=13+0.8

W=18.08oz