What is the value of the hypotenus?

Answer:

D. 31

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the population standard deviation is 2.8 days.

This means that [tex]\sigma = 2.8[/tex]

How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?

This is n for which M = 1. So

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

[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*2.8[/tex]

[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]

[tex]n = 30.12[/tex]

Rounding up, at least 31 people are needed, and the correct answer is given by option D.

9514 1404 393

Answer:

  b.  10.2 yards

Step-by-step explanation:

The quadratic formula tells you the solutions to ...

  ax² +bx +c = 0

are given by ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, the quadratic equation we have is ...

  h² +5h -155 = 0

So the solutions given by the quadratic formula are ...

  [tex]h=\dfrac{-5\pm\sqrt{5^2-4(1)(-155)}}{2(1)}=\dfrac{-5\pm\sqrt{645}}{2}=\{-15.2,10.2\}[/tex]

The negative solution is not applicable in this situation, so the height that gives the desired area is 10.2 yards.

(0, 2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment is given by

[(x2 + x1)/2 , (y2 + y1)/2]

Let P1 = (3, -2) and P2 = (-3, 6)

x-coordinate:

(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0

y-coordinate:

(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2

Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are

(0, 2)

Answer: B

Step-by-step explanation: if you look from both sides u can see it adds up + i got it right on edg:)

The statement describes the behavior of the function around the vertical asymptotes is B.

We have given the graph,

We have to determine which statement describes the behavior of the function around the vertical asymptotes.

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

If you look from both sides of the graphs you can see it adds upward.

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Answer:

A. Yes, it show repeated and periodic behavior.

Step-by-step explanation:

I calculated it logically

Answer:

120.6  is the answer

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Sub -1 in for each x:

-3x³-4x

-3(-1)³-4(-1)

-3(-1)+4

3+4

7

Answer:

y=11/5x+1

Step-by-step explanation:

I am probably wrong :/

Answer:

y= -2/5x+1

Step-by-step explanation:

The slope of the line is -2/5 and the y intercept is 1.

Answer:

1.)C

2.A

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

There are several ways to name the angle

They all must include the vertex

ABC

CBA

B

Answer:

abc

Step-by-step explanation:

Answer:

112

Step-by-step explanation:\

Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)

If we follow this and plug in the Numbers we get the equasion- A=7x16

And so we solve and get the answer 112

hope this helped have a great day :3 (brainliest pls i need one more )

Answer:

unlikely

Step-by-step explanation:

Answer:

1 to 7

Step-by-step explanation:

The probability of each landing on any of the numbers is 1 to 7

Answer:

2/12 if the spinner has 6 chooses. I think sorry if I'm wrong

Step-by-step explanation:

Answer:

the second one is the largest

Step-by-step explanation:

Answer:242

Step-by-step explanation:

bc you have 25 to49 adults divide and subtracts & you get 242 , hope this helps !

83 people out of 400 people would be expected to be age 40-44.

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

As, 400 people choose sauce B.

In the given table there 302 people who choose sauce B, in which 63 people belongs to group 40-44

So, 63/302= x/400

302*x=63*400

x=83.

Hence, 83 people out of 400 belongs to group 40-44 who choose sauce B.

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Answer:

1.07328

Step-by-step explanation:

223.6 x 0.0048=1.07328

Answer: 4

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

[tex]\frac{y}{12}=\frac{5}{15}\\\\\frac{y}{12}=\frac{1}{3}\\\\y=4[/tex]

Answer:

I think it's 20 or maybe 18 not sure.

Answer:

only one of the side is a 4 so the answer is 6/6 -1/6=5/6

Answer:

8/56

Step-by-step explanation:

Add up all other marble colors then find the difference from the total.

Answer:

1/7

Step-by-step explanation:

there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%

Answer:

B

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.264

x = 10^(1.264)

x = 18.38 (to two d.p)

Answer:

1/12

Step-by-step explanation:

The probability of rolling a die and landing it on heads is 1/2 percent. Flipping the coin another time and landing it on heads is 1/4 percent because you need to multiply when doing probabilities, so 1/2 times 1/2 equals 1/4.

Now moving on, rolling a 6 sided die and getting either a 1 or 6 is 1/3 percent because 1 and 6 are two different numbers you can roll so it's 2/6, and when it's simplified, it's 1/3.

After doing that, to find the probability of the whole equation, you would need to multiply 1/4 times 1/3 which would give you 1/12 as your answer.

Answer:

3rd

Step-by-step explanation:

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Answer:

13 miles

Step-by-step explanation:

                                                 12 miles

                Home --------------------------------------------------------Library

                     |

5 miles          |

                     |

                     |

                     |

                School

We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.

Answer:

16x5+6x4

Step-by-step explanation:

(2x(3+5)+6)(x4)

=(2x(3+5)+6)(x4)

=(2x(3+5))(x4)+(6)(x4)

=16x5+6x4

Answer:

88

Step-by-step explanation:

to solve these kind of questions use BODMAS

Answer:

B. neither of them are solutions

Answer:

288

Step-by-step explanation:

First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.

Then find a common denominator and add those together to find how much they could do together in 1 hour.

2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.

So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)

It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288

So it will take them 288 minutes to build the desk together.

Answer:

C

Step-by-step explanation:

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