5. What is the volume of the right triangular prism?
12 m
A. 64 m
B. 128 m
C. 192 m®
D. 384 m
4 m
8 m

Answer:

There are 4 scores in the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]

We want to find n. So

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

By the Central Limit Theorem

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

[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]

[tex]-4\sqrt{n} = -8[/tex]

[tex]4\sqrt{n} = 8[/tex]

Simplifying by 4

[tex]\sqrt{n} = 2[/tex]

[tex](\sqrt{n})^2 = 2^2[/tex]

[tex]n = 4[/tex]

There are 4 scores in the sample.

Answer:

B is the answer that is incorrect and must be rejected.

Step-by-step explanation:

A trapezoidal shape need not have a line of symmetry to be a trapezoid.

Answer: $150

Step-by-step explanation:

$3,000 x 5% = 150

Answer: the answer is A

Step-by-step explanation:

Answer:The answer is c

Step-by-step explanation:

The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.

Volume is the three-dimensional space enclosed by a three-dimensional object.

We have to find the volume of the box and the volume of the storage space.

Volume = length × breadth × height

= 24 × 18× 16 in³

=6912 in³

Volume = length × breadth × height

= 400 × 240 × 60 ft³

= 5760000 ft³

Therefore, 5760000 ft³ = 5760000 × (12)³ in³

Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³

= 1440000 boxes.

Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.

Learn more about volume here-https://brainly.com/question/25736513

#SPJ2

Answer:

6+s

Step-by-step explanation:

six more marbles so add 6 to s

Answer:

59/1

Step-by-step explanation:

a) SR

b) QR

c) RW and RV

RT and RS

RU and RQ

Answer:

-2

Step-by-step explanation:

y=k/x

Replace y with 7 and x with -2

7=k/-2 gives you -14

Then you can replace k with -14 and x with 7

y=-14/7 gives you -2

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

9x - 3x - 40 = 3x - 3x + 20

6x - 40 = 20

6x - 40 + 40 = 20 + 40

6x = 60

6x / 6 = 60 / 6

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

9(10) - 40

90 - 40

50

3x + 20

3(10) + 20

30 + 20

50

Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer: 10

Step-by-step explanation:

Answer:

x=26.44

rounded to the nearest hundredth.

Step-by-step explanation:

Soh Cah Toa

We need opposite for x and adjacent for 44

Length × Tan (Angle)

44 × Tan (31)=26.43786724

Answer:

40%

Step-by-step explanation:

it ads up to 90, so 50+x=90   x=40

Answer:

40° as it is a right angle

then 90 - 50= 40

Answer:

length=22

width=21

Step-by-step explanation:

let, length be x and width be y.

x=2y-20

2(x+y)=86

or, 2(2y-20+y)=86

or, 2(3y-20)=86

or, 6y-40=86

or, 6y= 126

or, y= 126/6

y= 21

x= 2×21-20 = 42-20 =22

Answer:

0.3

Step-by-step explanation:

Answer:

0.8-0.503=0.297

0.8-0.50= 0.3

Step-by-step explanation:

Answer:

The terms in #4 are 2500, 11t, and -3w

The terms in #5 are 17 and 4d

Answer:

the answer to the question is 10 17/24

Answer:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Step-by-step explanation:

hi

Answer:

9,18,27,36,45,54,63,72,81,90

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

180 - 47 = 133

Answer:

133°

Step-by-step explanation:

If we assume the the given to adjacent lines to be parallel then ,

Therefore :-

=> x = 180° - 47°

=> x = 133° .

Answer:

PC = 4 cm

Step-by-step explanation:

AP = 4 cm

Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.

PC = AP because corresponding parts of congruent triangles are congruent.

Answer: 1245 :)

Step-by-step explanation:

Answer:

la respuesta es 1245

567+678=1245

Answer:

42

Step-by-step explanation:

divide the total by the cost of each invite

Answer:

See below.

Step-by-step explanation:

To simplify a long algebraic expression, you could use many methods. My personal choice is to use distribution in order to follow PEMDAS and eliminate any parenthesis within my equation. I also like to combine like terms to shorten the equation as much as possible.

Inverse operations are extremely helpful in isolating variables and simplifying equations. They can be used in many scenarios from finding the length of an object with only a formula and one side (ex. a triangle with only b and A given) to having distance and speed to figure out the time it will take to get to your destination.

The answer is -53.8

Step-by-step explanation:

jSubtract

least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.

Answer:

12

Step-by-step explanation:

Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers

:)

Answer:

7.823 8.019

Step-by-step explanation:

Those two both will round up to 20 in the hundredths place and both round to 8.

Answer:

f

(

x

)

=

2

, means, whatever be the value of

x

, f(x)=2#.

∴

f

(

−

4

)

=

2

.