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3 years ago

3/8(3/4+5/6 )−1/2 what is the answer please help

2 answers:

7 0

3/8(3/4+5/6)-1/2
All of those can go into 24
so it is equal to...
9/24(18/24+20/24)-12/24
First you solve the parentheses
9/24(38/24)-12/24
also equal to...
9/4(1 14/24)-12/24

siniylev [52]3 years ago

5 0

Answer: 0.09375

Step-by-step explanation:

YEETUS

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Un<br> How many solutions does this system have?<br> 12x-4y=-8<br> y=3x+2

Talja [164]

Answer:

Infinite

Step-by-step explanation:

Get both in the form y = first.

12x - 4y = -8

-4y = -8 - 12x

y = 2 + 3x

y = 3x + 2

These are the same line so all points are the same so that means there are infinite answers.

If ONLY the number in front of the x was the same there would be 0 answers, they would be parallel lines, and if the number in front of the xs were different there would only be one answer.

3 0

2 years ago

The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 3.3

In-s [12.5K]

Answer:

a) There is a 74.22% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

b) There is a 1-0.0548 = 0.9452 = 94.52% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

c) There is a 68.74% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Problems of normally distributed samples can be 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.

In this problem, we have that:

The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 3.3 minutes. This means that $\mu = 8.3, \sigma = 3.3$ .

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

We are working with a sample mean of 37 jets. So we have that:

$s = \frac{3.3}{\sqrt{37}} = 0.5425$

Total time of 320 minutes for 37 jets, so

$X = \frac{320}{37} = 8.65$

This probability is the pvalue of Z when $X = 8.65$ . So

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

$Z = \frac{8.65 - 8.3}{0.5425}$

$Z = 0.65$

$Z = 0.65$ has a pvalue of 0.7422. This means that there is a 74.22% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

Total time of 275 minutes for 37 jets, so

$X = \frac{275}{37} = 7.43$

This probability is subtracted by the pvalue of Z when $X = 7.43$

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

$Z = \frac{7.43 - 8.3}{0.5425}$

$Z = -1.60$

$Z = -1.60$ has a pvalue of 0.0548.

There is a 1-0.0548 = 0.9452 = 94.52% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

Total time of 320 minutes for 37 jets, so

$X = \frac{320}{37} = 8.65$

Total time of 275 minutes for 37 jets, so

$X = \frac{275}{37} = 7.43$

This probability is the pvalue of Z when $X = 8.65$ subtracted by the pvalue of Z when $X = 7.43$ .

So:

From a), we have that for $X = 8.65$ , we have $Z = 0.65$ , that has a pvalue of 0.7422.

From b), we have that for $X = 7.43$ , we have $Z = -1.60$ , that has a pvalue of 0.0548.

So there is a 0.7422 - 0.0548 = 0.6874 = 68.74% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes.

7 0

3 years ago

Cgggggggggggggggggggg image ggggggggggggggggggggggggggggg

Lilit [14]

9514 1404 393

Answer:

x = 30
y = 105
z = 75

Step-by-step explanation:

You know the linear pair z° and 105° are supplementary angles, so ...

z = 180 -105 = 75

The other base angle of the isosceles triangle has the same measure, 75°. __

Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...

75° +75° +x° = 180° ⇒ x = 180 -150 = 30

The second relation gives ...

75° +x° = 105° ⇒ x = 105 -75 = 30

y° is supplementary to the left-side base angle, so is ...

y = 180 -75 = 105

Of course, you could also figure y from the symmetry of the figure.

The values of x, y, z are 30, 105, 75, respectively.

5 0

3 years ago

Car A travels at 35 miles per hour and Car B travels at a greater speed of x miles per hour. Choose the expression that represen

Rina8888 [55]

Answer:

-2x+25 D

Step-by-step explanation:

To determine how far it will go in an unspecified number of hours, we can let t = time in hours. The letter t will be our variable. Assuming that the car travels at the same speed, we can state that the rate is 55, and that will be our constant. The expression would then be:

Distance of car traveled in t hours, which we can denote as D(t) = 55 x t = 55t

This means that D is a function of t, and D represents the total distance traveled in t hours.

8 0

2 years ago

Read 2 more answers

Need help asap The answer is 100 or 126

Serga [27]

Answer:

The surface area of the cone is 126π cm².

Step-by-step explanation:

The surface area of a cone can be found using this formula: