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3 years ago

PLEASE HELP!! I WILL BRAINLIEST

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

81.8%

Step-by-step explanation:

Mean = $\mu = 40$

Standard deviation = $\sigma = 5$

Now we are supposed to find out what percent of the numbers fall between 35 and 50

$z = \frac{x-\mu}{\sigma}$

Substitute the values

$z = \frac{x-40}{5}$

Now for P(35<x<50)

Substitute x = 35

$z = \frac{35-40}{5}$

$z =-1$

Substitute x = 50

$z = \frac{50-40}{5}$

$z =2$

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= $0.818 \times 100$

=81.8%

Hence 81.8% percent of the numbers fall between 35 and 50

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Vanyuwa [196]

Part a: Option c: $3x+90+x-14=180$

Part b: The value of x is 26

Explanation:

Part a:

Option a: $3x+x-14=180$

Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.

Thus, the equation $3x+x-14=180$ cannot be used to determine the value of x.

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Option b: $3x+90+x-14=90$

Adding all the angles in the straight line results in 180°.

Thus, adding all the angles does not equals to 90°

Hence, the equation $3x+90+x-14=90$ cannot be used to determine the value of x.

Hence, option b is not the correct answer.

Option c: $3x+90+x-14=180$

Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°

Thus, the angles in this straight line are 3x, 90° and x-14.

Hence, adding these angles will result in 180°

Thus, the equation becomes

$3x+90+x-14=180$

Hence, the equation used to determine the value of x is $3x+90+x-14=180$

Thus, Option c is the correct answer.

Option d: $4x+90=360$

Adding all the angles in the straight line results in 180°.

Since, not all the three angles were added in this equation and the equation equals to 180°

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Thus, Option d is not the correct answer.

Part b:

To determine the value of x, we shall add all the angles of the equation $3x+90+x-14=180$

Thus, we get,

$4x+76=180$

Subtracting both sides by 76,

$4x=104$

Dividing both sides by 4, we get,

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Thus, the value of x is 26.

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In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a

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Answer:

$\frac{2}{5}$

Step-by-step explanation:

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