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3 years ago

40 is 80% of what number?

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

Answer:

Step-by-step explanation:

.80n = 40

n = 40 divided by .80

40/8/10 = 400 / 80 = 50

Best Of Luck,

- I.A. -

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The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 95% p

enot [183]

Answer:

14 pints of 20% juice

56 pints of 95% juice

Step-by-step explanation:

Let

x be pints of 20% pure fruit juice, thus

70 - x will be pints of 95% pure fruit juice

The equation, thus can be written as:

20%x + 95% (70-x) = 80% (70)

Solving for x:

$(0.2)x + (0.95)(70-x) = (0.8)(70)\\0.2x+66.5-0.95x=56\\0.75x=10.5\\x=14$

And 70 - x would be 70 - 14 = 56

Thus,

14 pints of 20% juice is needed, and

56 pints of 95% juice is needed

5 0

3 years ago

Read 2 more answers

Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B440%20%2B%201%7D%20" id="TexFormula1" t

fomenos

Answer:

Step-by-step explanation:

$\sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21$

6 0

3 years ago

Read 2 more answers

If a − b ∈ P, then (a + c) − (b + c) = a − b is in P. Thus a + c > b + c

DochEvi [55]

Answer:

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Step-by-step explanation:

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3 years ago

Using traditional methods, it takes 11.111.1 hours to receive a basic driving license. A new license training method using Compu

IgorLugansk [536]

Answer:

The value of the test statistic is -0.979

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 11.1 hours

Sample mean, $\bar{x}$ = 10.7 hours

Sample size, n = 24

Alpha, α = 0.05

Sample standard deviation, s = 2.0 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 11.1\text{ hours}\\H_A: \mu \neq 11.1\text{ hours}$

We use two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{10.7 - 11.1}{\frac{2}{\sqrt{24}} } = -0.979$

Thus, the value of the test statistic is -0.979

7 0

3 years ago

Question 2 -

atroni [7]

Coefficient of variation, CV. for Data set A is $13.5$ % and for Data set B is $19.6$ %

Sample A: $2.94, 3.06, 3.07, 3.16, 3.34, 3.43, 3.47, 3.56, 3.57, 3.97, 3.99, 4.24, 4.30, 4.35$

Mean $= 3.6036$ , Standard deviation $= 0.4858$ .

C.V $= \frac{S.D}{Mean}$

$=\frac{0.4858}{3.6036}$

$=0.1348$

$=0.1$

Sample B: $$24,800, $30,000, $22,300, $20,400, $19,000, $32,200, $23,000, $23,000, $24,000, $27,200, $34,900$

Mean $= 25527.2727$ , Standard deviation $= 5001.218$ .

C.V $= \frac{S.D}{Mean}$

$=\frac{5001.218}{25527.2727}$

$=0.1959$

$=0.2$

In terms of percentage, C.V for sample A is $13.5$ % and for sample B is $19.6$ %

Learn more here:

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3 years ago