(MATH) (6) ((PHOTO))
label is in cubed​

Answer:

B. Z= -2.55

Step-by-step explanation:

To solve this question, first we need to understand the central limit theroem and subtraction of normal variables.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

11 of 50 men believe that sexual discrimination is a problem:

This means that:

[tex]p_M = \frac{11}{50} = 0.22, s_M = \sqrt{\frac{0.22*0.78}{50}} = 0.0586[/tex]

19 of 40 women believe that sexual discrimination is a problem:

This means what:

[tex]p_W = \frac{19}{40} = 0.475,  s_W = \sqrt{\frac{0.475*0.525}{40}} = 0.079[/tex]

Difference between the proportion of men and women:

[tex]p_D = p_M - p_W = 0.22 - 0.475 = -0.255[/tex]

[tex]s_D = \sqrt{s_M^2+s_W^2} = \sqrt{0.0586^2+0.079^2} = 0.0984[/tex]

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.

This means that the null hypothesis is that they do not differ, than is, the difference is 0. So

[tex]H_0: p_D = 0[/tex]

At the alternate hypothesis, we test that they differ, that is, the difference is different of 0. So

[tex]H_a: p_D \neq 0[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

For the sample, we calculated that:

[tex]X = -0.255, s = 0.0984[/tex]

The value of the test-statistic is:

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

[tex]z = \frac{-0.255 - 0}{0.0984}[/tex]

[tex]z = -2.59[/tex]

Closes answer is Z = -2.55, option B.

Answer:

Step-by-step explanation:

Answer:

C.D.E.F

Step-by-step explanation:

log(A\sqrt{B}) \log(A^2)

A. \log(A) - 2\log(B) \log(A^2)  

Answer A is wrong  because sqrt is denoted by  1/2  and the coefficient of log B is 2 not 1/2

B. \frac{\log(A)\log(B)}{2} 2\log(A)

Answer B is wrong because  2 is multiplied by B instead of 1/2

C.\log(A) \frac{1}{2}\log(B) \log(A^2)

Answer C is correct because  1/2  is multiplied by log B

D. \log(A^{3}) \frac{1}{2}\log(B)

Answer D is also correct  because  1/2  is multiplied by log B

E. 3\log(A) \frac{1}{2}\log(B)

Answer E is also correct because  3  is co efficient of log A

F. \log(A^3\sqrt{B})

This is correct. Here the log is applied to the given fraction

Answer:

no 5 7 6

Step-by-step explanation:

Answer:

31.5 units.

Step-by-step explanation:

Area = BC * distance from BC extended to A/2

A to BC extended and the line is vertical from A to BC extended = 7+2 units

A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height

h = 9 units

BC = 7 units

Area  = 1/2 * h * BC

Area = 1/2 * 9 * 7

Area = 1/2 * 63

Area = 31.5

Step-by-step explanation:

math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.

there is not a one sized fits all answer, do what's best for you.

Answer:

I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.

Step-by-step explanation:

Answer:

The third graph

Step-by-step explanation:

y intecepts at (0, 4) and (0, 12)

the slopes are up 1 over 3 and up 3 over 1

Answer:

3:6

3x2=6

Scale factor = 2

Step-by-step explanation:

Answer: $1.45

Step-by-step explanation:

We start by subtracting the change from how much she payed for.

d = dollars | g = goldfish

[tex]16d - 0.05d = 15.95d[/tex]

Then we divide by the goldfish

[tex]\frac{15.95d}{11g} = 1.45d[/tex]

Our answer is 1.45!

Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.

Answer:

y+4=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-4)

y+4=2(x-4)   point slope form

Answer:

A  

Step-by-step explanation:

x = -3 goes straight through -3, 7 vertically

Answer:

28 hours  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

30x2 - 25x -30  Factoring

Step 2

30x2 - 25x -30  factor out the equation

5(3x+2)(2x-3)

Step 3

5(3x+2)(2x-3)  Check by simplifying

When you check, you will get the question back

Answer

5(3x+2)(2x-3)

Hope this helps

Answer:

384

Step-by-step explanation:

I just went to my calculator and did 24×16 and I got 384

The approximate measure of angle Q will be 93.2°. Then the correct option is B.

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.

Then the approximate measure of angle Q will be given as,

RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²

    21² + 23² – 2 × 23 × 21 × cos Q = 32²

                 441 + 529 – 966 cos Q = 1024

                           970 – 966 cos Q = 1024

                                      966 cos Q = – 54

                                              cos Q = – 54 / 966

                                              cos Q = – 0.0559

                                                     Q = 93.2°

The approximate measure of angle Q will be 93.2°.

Then the correct option is B.

Learn more about law of cosines here:

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Answer:

A, B, and E are the correct options.

Step-by-step explanation:

You can see by the table shown, 12+25 people biked (37). The total of people that were surveyed would be 55 (the bottom right of the graph). Twelve people run but don't bike (down the first column to the left). Just follow the graph and you've got your answers!

Answer:

☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]

♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]

[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }

⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]

⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]

⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]

☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]

♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }

⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]

⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]

Q. Can we set up an equation 2x = 8 in question number 2 ?

Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.

Hope I helped! ♡

Have a wonderful day / night ! ツ

[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

C. 15

D. 4

Step-by-step explanation:

Hope this helps

Answer:

D

Step-by-step explanation:

6(g + 4)

we distribute the 6 to the terms in the parenthesis.

(6 × g) + (6 × 4)

(6g) + (24)

6g + 24

Answer:

6/17

Step-by-step explanation:

number of boys who like green over total number of boys :

[tex] \frac{12}{34?} [/tex]

6/17

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Let's use CAH  1st  , on the Lenovo building,  b/c we  have they Hypotenuse (Hyp)  and an angle and we want to know the other side of the Lenovo building

Cos(30) = x/294

294*Cos(30) = x

254.611 = x

Sin(30) = y / 294

294*Sin(30) = y

147 = y

perimeter = 147+254.611+294

perimeter Lenovo = 695.611 feet

For Asus building

hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 +  144.5*[tex]\sqrt{2}[/tex])^2 )]

hyp = 289

perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]

perimeter Asus = 697.7077

The difference of the two buildings is

697.7077 -  695.611 =2.09671 feet

the difference is 2.10 feet ( rounded to nearest 100th)

Answer:

The answer would be C. It is 6% higher than the theoretical probability.

Answer:

The correct answer is C. It is 6% higher than the theoretical probability.

Step-by-step explanation:

This is correct, I took the test.

Answer:45

Step-by-step explanation:

The value of x by the given data is 190/3 or 63.33

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The angles between the lines

Now,

To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:

30° + (3x)° + (-40)° = 180°

Simplifying, we get:

(3x)° - 10° = 180°

Adding 10° to both sides, we get:

(3x)° = 190°

Dividing both sides by 3, we get:

x = 190/3

Therefore, by algebra the answer will be 190/3 or 63.33.

More about the Algebra link is given below.

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Step-by-step explanation:

(o, -2) is the correct answer because in -90°

P [x,y] =P' [y,-x ]

hope it is helpful to you

Answer:

The slope is -3

Step-by-step explanation:

y=mx+b

m=slope

m=-3

slope=-3

hope this helps!

The volume in cubic inches of the prism is 528 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

The volume is calculated as:-

V = L  x  W  x  H

V = 6  x  11  x   8  

V = 528 cubic inches

Therefore the volume in cubic inches of the prism is 528 cubic inches.

To know more about Volume follow

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