The top of a 220 foot vertical tower is to be anchored by cables that make an angle with a measure of 53 degrees with the ground.
How long must each cable be?_____  feet  
  How far from the base of the tower should the anchors be placed? ____ feet   ​

Answer:

What's the key difference between the t- and z-distributions? The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.

The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,

⇒  You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

We have to given that;

To find the major difference between a hypothesis test with the t statistic formula and the test with a z‐ score.

Now, We know that;

The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is the population variance (or standard deviation) for the z‐score but not for the t statistic.

Thus, The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,

⇒  You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.

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Answer:

p=44,A=120

Step-by-step explanation:

P=10+12+10+12

P=44cm

A=10*12

A=120cm^2

Answer:

A) Lydia

Step-by-step explanation:

Answer:

4/9 is the answer

Step-by-step explanation:

you can divide by 2

so 8/2 = 4

then 18/2 = 9

so then you get your answer

4/9

Answer:

"$164000" is the appropriate answer.

Step-by-step explanation:

Let the selling price be "s".

As per the question,

If Jane take 5.5% of selling price i.e.,

= [tex]0.055\times s[/tex]

Given commission,

= $9,020

then,

The selling price will be:

⇒ [tex]0.055\times s=9020[/tex]

                [tex]s=\frac{9020}{0.055}[/tex]

                   [tex]=164000[/tex] ($)    

Answer:

z (min) =  150090.8    ( monetary units )  ( $ )

x₁  =  2000     x₄  = 0     x₂  =  3382   x₅  =  368   x₃ = 0  x₆ = 1700

Step-by-step explanation:

wrenches produced in-house   ( W111 = x₁   W222 = x₂  W333 = x₃ )

x₁      x₂    and  x₃

wrenches produced outside  (W111 = x₄  W222 = x₅  W333 = x₆ )

x₄     x₅    and  x₆

Objective function:

z  =  17*x₁  +  20.40*x₄  +  19*x₂  + 21.85*x₅ + 23*x₃ + 25.76*x₆   to minimize

First constraint: Manufacturing hours: 16500

2.5*x₁  +  3.4*x₂  +  3.8*x₃   ≤  16500

Second constraint: Inspection hours : 1600

0.25*x₁  +  0.3*x₂  +  0.45*x₃  ≤ 1600

Three demands constraint:

x₁    +   x₄   =  2000

x₂   +  x₅    =  3750

x₃   + x₆     =  1700

x₁  ≥  0     x₂  ≥   0     x₃  ≥  0   x₄  ≥  0   x₅  ≥  0   x₆  ≥  0    all integers

After 6 iterations with on-line solver the solution is:

z (min) =  150090.8    ( monetary units )  ( $ )

x₁  =  2000     x₄  = 0     x₂  =  3382   x₅  =  368   x₃ = 0  x₆ = 1700

Answer:

Step-by-step explanation:

Both of the triangles are special 30-60-90 triangles

and the side lenghts for these angle mesurements are followed : q, q√(3),2q

q is given as 3 from the 9th question

so a = 6 (because it's 2q) and

b = 3

For the 10th question

the side length that sees 30 degrees is 3 which means q = 3 again

and x = 6

y = 3√(3)

Answer: The Person above is right....Credit goes to that person :)

It is 13

Answer:

a

Step-by-step explanation:

hii :)

so we cant add n numbers and not n numbers.

knowing this, we have to somehow put them together.

2n-3+n+4

adding the 2n and n together: 3n-3+4

add -3+4=1

resulting in

3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)

i hope this was easy to understand!

Answer:

number of 50c = x

number of 20c = y

total coins 40

x +y = 40 ------(1)

0.5x + 0.2y = 16.10 ------(2)

from (1) => x = 40 - y

substitute x in (2)

0.5(40 -y) + 0.2y = 16.10

20 - 0.5y + 0.2y = 16.10

-0.3y = -3.9

y = 13

from (1) => x = 27

Answer: number of 50c = 27 coins

Answer:

C

Step-by-step explanation:

18 boys

Answer:

i think 18 msy be

Step-by-step explanation:

Answer:

Average number of people ride ferry boat = 62 or 63 people

Step-by-step explanation:

Given:

Number of people ride ferry boat

58 59 60 61 62 63 64 65 66 67

Find:

Average number of people ride ferry boat

Computation:

Average mean = Sum of all observation / Number of observation

Average number of people ride ferry boat = [58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67] / 10

Average number of people ride ferry boat = [625] / 10

Average number of people ride ferry boat = 62.5

Average number of people ride ferry boat = 62 or 63 people

Answer:

An acute triangle

Step-by-step explanation:

Answer:

Your age would be 85.

Step-by-step explanation:

I reduced 300 by 2 (Subtracting) and times it by variable x, and 130. X came out to be 85, so your age is 85.

Answer:

a)-2

b)(1,-2)

c)-3 and -1

d)3

Step-by-step explanation:

1.)

A.) x = -2

B.) (-2,-1)

C.) -3 and -1

D.) 3

2.)

A.) -10 and -6

B.) -8

C.) maximum is infinite and minimum is (-8,-4)

3.)

A.) y = -0.493x^2 + 23.380x + 996.029

B.) 1266.43

Answer:

B

Step-by-step explanation:

Sjdxdbnjenide because x029w09

Answer:

[tex]\sigma_x= 1.75\%[/tex]

Step-by-step explanation:

Given

[tex]n = 64[/tex]

[tex]\mu = 78\%[/tex]

[tex]\sigma = 14\%[/tex]

Required

The sample standard deviation

This is calculated as:

[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]

This gives:

[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]

[tex]\sigma_x= \frac{14\%}{8}[/tex]

[tex]\sigma_x= 1.75\%[/tex]

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

[tex]H_0: p = 0.06[/tex]

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

[tex]H_1: p \neq 0.06[/tex]

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

CORRECT (SELECTED)

z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=

240

0.06(0.94)

​

​

0.1−0.06

​

Answer:

Congruent by AAA

Step-by-step explanation:

Given

[tex]\triangle MNP[/tex]

[tex]\triangle QST[/tex]

Required

The congruence rule

From the attached triangles, we have:

[tex]\angle M = \angle Q[/tex] --- A

[tex]\angle N = \angle S[/tex] --- A

[tex]\angle P = \angle T[/tex] --- A

Hence, the congruence rule is AAA

Answer:

Jenna has more money in the bank because |7| > |6|

Step-by-step explanation:

|7| > |6|

The above equation is saying that the absolute value of seven is greater than the absolute value of six. Therefore, Jenna has more money in the bank and beause of this, her account balance would have to change more to reach $0.

Answer:

Step-by-step explanation:

You would get the probability of double sixes as:

Correct choice is A

The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.

We have given that,

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).

Robin thinks the probability is 136 based on the tree diagram they created.

Steven disagrees and argues that the probability of rolling double sixes is 16.

John counts twelve outcomes and claims the probability is 112.

The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A.

Therefore the Robin, because there are 36 outcomes and only one is (6, 6).

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Answer:

1. 140 degrees

2. 40 degrees

3. 65 degrees

4. 75 degrees

5 115 degrees

Step-by-step explanation:

1. The inside angle adjacent to angle 1 is 40. We know this because a triangle's interior angles have to add up to 180, and the only number when added to 140 (60+80) to equal 180 is 40. That means that 1 has to be the other part to equal 180.

2. The same rule occurs as before. This time angle 1 is 140, and the line they share's angles have to equal 180, so 2 is 40.

3. The same rule occurs as before with the 105 outside the triangle. 40 + X + 75 = 180, which means that 3 is 65.

4. Using the 105 we can deduce that 105 + X = 180.

5. We use the 40, and angle 4 + X to equal 180. Then we use the X to find 5 to be 115.

Sorry if that is confusing. Your book will probably have better explanations that I will.

Answer: 4410 [tex]ft^2[/tex]

Step-by-step explanation:

To find the area of a square or rectangle, all you need to do is multiply the length times the width:

L × W = A

The lengh is 100, and the width is 50

100 × 50 = 5000

However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.

First, let's get the two circles over with. To find the area of a circle, use this formula:

A = π[tex]r^2[/tex]      r is the radius, which in this case, is 6

A = π[tex]6^2[/tex]

A = 113       This isn't the exact answer, the exact answer would be 113.0973...

Now let's multiply the area of one of those circles by 2, since we have 2 circles:

113 × 2 = 226

Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:

26 × 14 = 364

The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:

5000 - (226 + 364) = 4410 [tex]ft^2[/tex]

15 minutes

take the answer 975 - 65 every time then you count how much is 65 you get out of 975 then you will get your answer in the answer is 15 minutes

hey:)

it takes 15 minutes

[tex] \frac{1}{65} = \frac{?}{975} \\ 1 \times 975 \div 65 = \\ 975 \div 65 = 15[/tex]

Answer: 4.09

Step-by-step explanation:

4.09142857 rounded to the nearest hundredth is: 4.09

Answer:

30

Step-by-step explanation:

yes