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algol13
3 years ago
13

What is the square root of 56 in radical form

Mathematics
1 answer:
V125BC [204]3 years ago
7 0
\sqrt{56}  \\  \\  \sqrt{7*8}  \\  \\  \sqrt{7*4*2}  \\  \\  \sqrt{7*2*2*2}  \\  \\ 2 \sqrt{7*2}  \\  \\ 2 \sqrt{14}
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An ice cream factory makes 29 quarts of ice cream in 5 hours. How many quarts could be made in 48 hours ? What was that rate per
Vadim26 [7]

We can easily get the quarts per hour rate by dividing the number of quarts by the number of hours:

\text{29 quarts in 5 hours} \implies \dfrac{29}{5} = 5.8 \text{ quarts in 1 hour}

Now that we have the quarts per hour rate, we can easily address the question: the factory could make

5.8\cdot 48 = 278.4

quarts in 48 hours, with a daily rate of

5.8\cdot 24 = 139.2

quarts per day

6 0
3 years ago
Read 2 more answers
Midpoint of (-2,-1) (-6,12)
Leni [432]

Answer:

(-4, 5.5)

Step-by-step explanation:

1. put your Xs and Ys over 2

2. add them together

3. Divide

4. Simplify

5. Turn fraction into decimal

m(x.y) \\ m =  \frac{x1 + x2}{2} . \:  \frac{y1 + y2}{2}   \\ m = \:  \frac{ - 2 +  - 6}{2} . \frac{ - 1 + 12}{2} \\ m = ( -  \frac{8}{2} . \frac{11}{2} ) \\ m = ( - 4 \: . \: 5 \frac{1}{2} ) \\  \\  \\ mid = ( - 4 \: \: . \:  5.5)

6 0
2 years ago
Suppose that a recent poll found that 49​% of adults believe that the overall state of moral values is poor. Complete parts​ (a)
Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 250, p = 0.49

So

E(X) = np = 250*0.49 = 122.5

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9

The mean of X is 122.5 and the standard deviation is 7.9.

3 0
3 years ago
In △ABC, point D∈ AB with AD:DB=5:3, point E∈ BC so that BE:EC=1:4. If AABC=40 in2, find AADC, ABDC, and ACDE.
DIA [1.3K]

Answer: Using the proportions between the segments, the area of the triangles are:

1. Area of triangle ADC is 25 in^2.

2. Area of triangle BDC is 15 in^2.

3. Area of triangle CDE is 12 in^2.


Please, see the attached files.

Thanks.

8 0
3 years ago
If a function rule is 3n-2 what is the output for an input of 2
nikdorinn [45]
F(n)=3n-2
Plug in 2 for n. f(2)=3(2)-2=4
3 0
3 years ago
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