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3 years ago

Find the measure of x. 48°

Mathematics

2 answers:

Allisa [31]3 years ago

6 0

Answer:

Step-by-step explanation:

use that the sum of angles in a triangle is 180°

you know 2 angles so you can find the third

x= 180 -90-48 =42°

mylen [45]3 years ago

5 0

Answer:

c. x = 42 degrees

Step-by-step explanation:

A right triangle is 90 degrees

90 - 48 = 42

So, the measure of x is 42 degrees

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If the number of defects found is more than one standard deviation above the mean, the manufacturing facility needs to recalibra

Sliva [168]

Answer:

16% probability that the facility needs to recalibrate their machines.

Step-by-step explanation:

We have to use the Empirical Rule to solve this problem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What is the probability that the facility needs to recalibrate their machines?

They will have to recalibrate if the number of defects is more than one standard deviation above the mean.

We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.

So there is a 16% probability that the facility needs to recalibrate their machines.

7 0

3 years ago

The school that Scott goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult ti

harina [27]

Answer:

The price of one adult ticket = $13

The price of one student ticket = $4

Step-by-step explanation:

Let the price of 1 adult ticket = x

Let the price of 1 student ticket = y

On the first day of ticket sales the school sold 12 adult tickets and 10 student tickets for a total of $196.

12 × x + 10 × y = $196

12x + 10y = 196....... Equation 1

The school took in $59 on the second day by selling 3 adult tickets and 5 student tickets

3 × x + 5 × y = $59

3x + 5y = 59.......... Equation 2

Using Elimination method

We eliminate y, by Multiplying equation 1 by 5 and Equation 2 by 10

12x + 10y = 196....... Equation 1 × 5

3x + 5y = 59.......... Equation 2 × 10

60x + 50y = 980....... Equation 3

30x + 50y = 590......... Equation 4

Subtract Equation 4 from Equation 3

30x = 390

x = 390/30

x = $13

Therefore, the price of one adult ticket = $13

Remember: x = $13

3x + 5y = 59.......... Equation 2

Substitute

3(13) + 5y = 59

39 + 5y = 59

5y = 59 - 39

5y = 20

y = 20/5

y = $4

Therefore, the price of one student ticket = $4

8 0

3 years ago

Can Anyone please solve this? Will mark brainiest!!!!

sergey [27]

Answer:

(a) see attached

(b) CD = 29

Step-by-step explanation:

See the attachment for a diagram.

In the diagram, we have shown point E on the plane so that BE is parallel to AC.

Triangle BDE is a right triangle with hypotenuse BD = 25 and leg BE = AC = 15. The length DE is given by the Pythagorean theorem as ...

DE = √(BD^2 -BE^2) = √(625 -225) = 20

Triangle CDE is a right triangle with hypotenuse CD and legs CE = 21 and DE = 20. The length of the hypotenuse is also given by the Pythagorean theorem as ...

CD = √(CE^2 +DE^2) = √(21^2 +20^2) = √841

CD = 29

8 0

2 years ago

What value of n makes the equation 4 (0.5n − 3) = n − 0.25 (12 − 8n) true?

astraxan [27]

Answer:Yes

Step-by-step explanation:

The value of n which makes the expression true is - 9

Given the expression : 4(0.5n-3)=n-0.25(12-8n)

The value of n which makes the expression true can be obtained by solving for n ;

4(0.5n-3)=n-0.25(12-8n)

Open the bracket :

2n - 12 = n - 3 + 2n

Collect like terms :

2n - 2n - n = - 3 + 12

-n = 9

Divide both sides by - 1 to isolate n

Hence ;

n = - 9

The value of n which makes the expression true is - 9

5 0

2 years ago

Round 597 to the nearest tenth

IRINA_888 [86]

The answer is 600............

6 0

3 years ago

Read 2 more answers