solve for this square.

Answer:

"there is exactly one output for each input" is cotrrect

"the graph of a linear function" is correct

Step-by-step explanation:

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Answer:

  (a)  628 cm³

Step-by-step explanation:

Put the given numbers into the formula and do the arithmetic.

  V = πr²h

  V = (3.14)(5 cm)²(8 cm) = 628 cm³

Answer:

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Step-by-step explanation:

For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.

This means that [tex]p = 0.3[/tex]

A sample of 15 babies is studied.

This means that [tex]n = 15[/tex]

What is the probability that exactly 5 of them weigh more than 20 pounds

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Answer:

1.075 or 43/40

Step-by-step explanation:

Answer:

1 3/40

Step-by-step explanation:

Answer:

y=-3x-5

Step-by-step explanation:

(-1, -2) (0, -5)

use slope formula

ΔY = (-5 – -2) = -3

ΔX = (0 – -1) = 1

m = -3

y=mx+b

-5 = -3(0)+b

b = -5

y=-3x-5

Answer:

7 hours and 15 minutes

6 hours hours and 45 minutes

5 hours and 12 minutes

6 hours and 10 minutes

Step-by-step explanation:

MON: 7 1/4 hours

= 7 hours and 1/4 hours

1/4 hours = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

7 1/4 hours = 7 hours and 15 minutes

TUE: 6 3/4 hours

= 6 hours and 3/4 hours

3/4 hours = 3/4 × 60 minutes

= 180/4 minutes

= 45 minutes

6 3/4 = 6 hours hours and 45 minutes

WED: 5 1/5 hours

= 5 hours and 1/5 hours

1/5 hours = 1/5 × 60 minutes

= 60/5 minutes

= 12 minutes

5 1/5 hours = 5 hours and 12 minutes

THU: 6 1/10 hours

= 6 hours and 1/10 hours

1/10 hours = 1/10 × 60 minutes

= 60/10 minutes

= 6 minutes

6 1/10 hours = 6 hours and 10 minutes

Answer:

a) The fixed cost is $1350.

b) Total variable cost is $6000.

Step-by-step explanation:

a) The fixed cost = Operational cost + Insurance company bill.

                           = $ 1000  + 350 = $1350.

b) Variable cost:-

The number of facilitators = 20.

The salary for each facilitator = $300.

Total variable cost = $300 x 20 = $6000.

Answer:

4 classes

Step-by-step explanation:

4+3+5+9+3+4=28

28/6=4.6

Answer:

r =3.4 mm

Step-by-step explanation:

circumference of a circle = 2πr

21.3 = 2*3.14*r

21.3 = 6.28*r

21.3 / 6.28 = r

3.39 = r

3.4 = r

Answer:

Given function:

Fill in the table by substituting the value of x:

The graph is attached

Answer:

Step-by-step explanation:

x+x+40=2

+ 4 0

2x+31=1205

2x=1205-31

2x=1174

x=1174/2

x=587

leslie will hace 587 score and

jackson =587+31= 618

Answer:

x = 107 degrees

Step-by-step explanation:

A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.

The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.

Solution :

Given :

Equation :

y = 6.3333 x + 53.0298

Here, x = number of hours studied

         y = the exam score

a). To predict the exam score, we have to replace x in the least square regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (2) + 53.0298

      = 65.6964

Thus he predicted exam score is 65.6964

b). The slope is the co-efficient of x in the least squares regression line :

  Slope = 6.3333

 The slope represents the average increase in y as x increases by 1.

  The exam score increases on average by 6.3333 points per hour studied.

c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :

  y = 6.3333 x + 53.0298        

 y = 6.3333 (0) + 53.0298

    = 53.0298

d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (5) + 53.0298

   y = 84.6963

Thus the average exam score of a student who studied 5 hours is 84.6963

Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.

Answer:

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

Step-by-step explanation:

[tex](-6p^{3} )(3p^2+5p-1)[/tex]

[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

hope this helps.....

Answer:

B and C

Step-by-step explanation:

If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)

If you take the greatest common factor then it could be factored to 12(2m-p+6)

9514 1404 393

Answer:

  9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

  tan(α) = 500/3000 = 1/6

  α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

_____

Additional comment

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

Answer:

2x - 1 = y

2x - 1 = 2.5

Use inverse operations

2.5 + 1 = 3.5

3.5 / 2 = 1.75

2 x 1.75 - 1 = 2.5

x = 1.75

Answer:

b. $0.02[tex]/in^3[/tex]

Step-by-step explanation:

Given

[tex]r =1in[/tex]

[tex]h = 10in[/tex]

[tex]Cost_{1pk} =\$3[/tex]

[tex]Cost_{2pk} =\$5[/tex]

Required

The difference in the price per [tex]in^3[/tex]

First, calculate the volume (V) of the cylinder

[tex]V = \pi r^2h[/tex]

[tex]V = 3.14 *1^2 * 10[/tex]

[tex]V = 31.4[/tex]

The unit cost of 1 pack is:

[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]

[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]

The unit cost of 2 packs is:

[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]

The difference (d) is:

[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]

[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]

Take LCM

[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]

[tex]d = \frac{\$1}{62.8in^3}[/tex]

[tex]d = \$0.0159/in^3[/tex]

Approximate

[tex]d = \$0.02/in^3[/tex]

Answer:

b)

Step-by-step explanation:

had it on my quiz also give other dude brainliest.

Answer:

-1

Step-by-step explanation:

Distribute

6x - 2 >= 4x - 6

2x >= -4

x >= -2

Answer:

152.99 m

Step-by-step explanation:

Using the solution diagram attached below :

We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;

Tan θ = opposite / Adjacent

Tan 24 = h / 340

h = tan 24 * 340

h = 151.37775

Hence, the height will be (h + distance from eyelevel to ground)

151.37775 + 1.61

= 152.98775

= 152.99 m

Answer:

132.6 meters tall

Step-by-step explanation:

it gave me the answer

Answer:

[tex]\triangle FED\sim \triangle JEH[/tex]

Step-by-step explanation:

Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]

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Answer:

  ΔDEF ~ ΔHEJ

Step-by-step explanation:

The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.

The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...

  ΔDEF ~ ΔHEJ

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

2 dice = 12 numbers

1, 2, 3, 4 and 1, 2, 3, 4 are less than five.

This is a total of 8 numbers.

[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]

The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )

Now , the total number of outcomes for throwing 2 dices = 36 outcomes

And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5

{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),

(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),

(1,4), (2,4), (3,4), (4,4)}

So , the number of possible outcomes = 16

And , probability P ( A ) = 16/36

P ( A ) = 4/9

Hence , the probability is 4/9

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

Answer:

Step-by-step explanation:

I took the quiz.

But really, the Earth is not that old. just a couple thousand years old.

There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.

Hope this helps and have a great day!

:)

Answer:

A. Quaternary

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

i guessed and got it right

Answer: D. It lies in Quadrant II or III

Step-by-step explanation: It asks for any point on a coordinate plane with a NEGATIVE X COORDINATE.

With this we can use this image (Shown below) to help us find out the answer... Quadrants II and III both have a negative X-coordinate

Answer:

Hello! answer: 12

Step-by-step explanation:

1/4 × 1/3 = 1/12 therefore there our 12 possible outcomes

Answer:

150 cause subtract 150 from 270 you get 150

Answer:

2,165 + 2571 + 1,678 = 6,414

Step-by-step explanation:

We can say;

=> 2,165 + unknown number + 1,678 = 6,414

So let's add like terms first;

=> 3,843 + unknown number = 6,414

=> unknown number = 6,414 - 3,843

=> unknown number = 2571

Hope this helps!

Answer:

2571

Step-by-step explanation:

Let x be the blank.

2165 + x + 1678 = 6414

3843 + x = 6414 (combine like terms)

x = 2571