Fort his problem what is the correct answer?

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that [tex]\mu = 116, \sigma = 5.4[/tex]

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{118 - 116}{5.4}[/tex]

[tex]Z = 0.37[/tex]

[tex]Z = 0.37[/tex] has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Answer:

g(-3) = 0

Step-by-step explanation:

hello :

g(-3) = (-3)² + 3(-3) = 9-9 =0

Answer:

$314.15 (A)

Step-by-step explanation:

We start by subtracting the 15% discount. 15% can be represented by 0.15, and 100% can be represented by 1. So therefore, the new price of the TV will be 1-0.15 = 0.85 of the original price using just the 15% discount. Therefore, 0.85 x 399 = $339.15. We then take this number and subtract another $25 to get $314.15

Answer:

23

Step-by-step explanation:

Answer:

supplementary angle to x = 180 -  31 - 43 - 32 = 74°

x = 180° - 74° = 106°

Answer:

24

Step-by-step explanation:

Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.

Answer:

let me know if it's the right answer or not:) also I learned this awhile

Answer:

♡●●♡♤●■

⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■

Step-by-step explanation:

86{\86{●

ppppp)is dilated from the origin by scale factor r to the world

Answer:

range: 8

Step-by-step explanation:

In order to find the range you need the minimum and maximum

minimum: 17

maximum: 25

Subtract

25-17=8

Answer:

4 root 10 is the first unit

Step-by-step explanation:

okey so step by step now

first put distace formula

then put values accordingly

you get,(12^2+4^2)keep in under root 2

[tex]\sqrt{160\\[/tex]

solve it ur answer is[tex]\sqrt[4]{10}[/tex]

Answer:

48.8m

Step-by-step explanation:

Formula for square area = [tex]a^{2}[/tex] = 148.84 [tex]m^{2}[/tex]

=> a = [tex]\sqrt{148.84}[/tex] = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

The perimeter of the given square is 48.8 m.

The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.

According to question,

Given area of a square = 148.84 m²

We all know that,

Area of a square = (Side)²

⇒ (Side)² = 148.84 m²

⇒ Side = √(148.84 m²)

⇒ Side = 12.2 m

Therefore, perimeter of the given square = 4 × Side

                                                                     = 4 × 12.2

                                                                     = 48.8 m

Hence the perimeter of a square = 48.8

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Answer:

1. x=1/8 y+7/8

2. x=1/5 y + -14/15

Step-by-step explanation:

Sorry if I'm wrong

Answer:

X=2/3    Y=?

Step-by-step explanation:

Y=8x-7 and y=5x+14

put the Y's together then solve for X

Then plug in X in the equation

Hope it helps

Answer:

Step-by-step explanation:

first use tan Ф = opp /adj      to find x         tan(30) = √3 / 3

then use sin Ф = opp / hyp   to find y         sin(30) = 1/2

       tan(30) = (√3) / 3  =  x / 48

                           x = (48√3) / 3

                          x = 16√3

        sin(30) = 1/2  = x / y

                        y  =  x / (1/2)

                        y  =  2x        x = 16√3

                        y  =  2[16√3]

                        y  =  32√3

check  using      a² + b²  = c²

             x² + 48² = y²

            (16√3)² + 48² = (32√3)²

           256 · 3  + 2304  =  1024 · 3

           768   +  2304   =   3072

                         3072  =  3072

Answer:

0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Population mean of 30 and a population standard deviation of 5.

This means that [tex]\mu = 30, \sigma = 5[/tex]

What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories?

This is the pvalue of Z when X = 29 subtracted by the pvalue of Z when X = 26. So

X = 29

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29 - 30}{5}[/tex]

[tex]Z = -0.2[/tex]

[tex]Z = -0.2[/tex] has a pvalue of 0.4207

X = 26

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 30}{5}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.4207 - 0.2119 = 0.2088

0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.

Answer:

15 miles.

Step-by-step explanation:

3/8 x 40 = 120/8

now divide,

120/8 = 15

Answer:

D

Step-by-step explanation:

the pattern is -6 to get the next number

Answer:

The answer would be 45

Answer:

$520

Step-by-step explanation:

1% of x is x times 0.01.

that means 10%of x is x times 0.1.

400 times 0.1 is 40.

40 is 10% of 400.

it was marked up by 30% so we need to times by 3.

40 times 3 is 120.

it was marked up so its addition.

400+120=520

True because all properties are preserved under dilation from triangle ABC to A'B'C'.

We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'

We have to determine after dilation,  the properties of triangle ABC and A'B'C' is true or false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.

here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.

So, the dilation of the triangle is not congruent but similar to the original triangle ABC

Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.

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Answer:

Step-by-step explanation:

The answer is FALSE for the first one AB and A'B' are on the same line.

and TRUE for the second one The measures of B and B' are equal.

Answer:

67

Step-by-step explanation:

Answer:

86.5

Step-by-step explanation:

5 or higher round up

4 or lower round down

3 is lower than 4

Answer:

90.

Step-by-step explanation:

A tenth is 10,20,30,40,50 etc..

So if you have over 85 then it would be 90. But if you have like 84 then it would be 80.

Answer:

109.2

Step-by-step explanation:

math

Answer:

88.86

Step-by-step explanation:

Okay, first find the area of the circle (πr^2)

The diameter of the circle is 14, however we need the radius. Simply divide the diameter by two.

[tex]\pi 7^{2}[/tex]

3.14*49 =153.86

Next, we find the area of the rectangle (bh)

13*5 =65

Subtract the rectangle from the circle.

153.86-65 =88.86

Hope this helps you :)

Answer:

1.5 miles

Step-by-step explanation:

Formula

divide the length value by 1760

Hope it helps you!

follow me for more!

I'm willing to help

Answer:

so G=1.19323671498

Answer:

A

Step-by-step explanation:

240-35)=205

240-35

205

Answer:

Step-by-step explanation the first one