All categories

3 years ago

1. If 40% of a number is 56, what was the original number?

Mathematics

2 answers:

Setler79 [48]3 years ago

7 0

Answer:

140

I am not completely sure but what i did was

56/? = 40/100

56*100

5600/40

140

Volgvan3 years ago

5 0

40% of a number is 0.4 times that number.
0.4 * (the number) = 56
(the number) = 56/0.4=140

You might be interested in

Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of

tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A Sample B

$x_A = 30$ $x_B = 50$

$n_A = 100$ $n_B =250$

Solving (a): Standard error using formula

First, calculate the proportion of A

$p_A = \frac{x_A}{n_A}$

$p_A = \frac{30}{100}$

$p_A = 0.30$

The proportion of B

$p_B = \frac{x_B}{n_B}$

$p_B = \frac{50}{250}$

$p_B = 0.20$

The standard error is:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}$

$SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}$

$SE_{p_A-p_B} = \sqrt{0.00274}$

$SE_{p_A-p_B} = 0.052$

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open Statkey
Under Randomization Hypothesis Tests, select Test for Difference in Proportions
Click on Edit data, enter the appropriate data
Click on ok to generate samples
Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A Sample B

$x_A = 23$ $x_B = 57$

$n_A = 100$ $n_B =250$

$p_A = 0.230$ $p_A = 0.228$

So, we have:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}$

$SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}$

$SE_{p_A-p_B} = \sqrt{0.002475064}$

$SE_{p_A-p_B} = 0.050$

5 0

3 years ago

Please help!!! Will mark BRAINLIEST!!!!

Bond [772]

In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.

In an equilateral triangle, all the sides and all the angles are equal.

MN = NP = PM

∠M = ∠N = ∠P

Then we have

PM = MN

3x - 4 = 14

x = 17/3

We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have

∠N = 60

5y - 5 = 60

5y = 65

y = 13

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0

2 years ago

50 points for answer

jarptica [38.1K]

Answer:

Step-by-step explanation:

2/3 30/60 30

5 0

3 years ago

Read 2 more answers

I need to know to divide fractions.....plz

Kisachek [45]

Answer:

change the division sign to a multiplication sign then flip the second fraction with the bottom on the top and the top on the bottom then multiply if its a improper fraction make it into a whole fraction

Step-by-step explanation:

Q 2/3 ÷ 3/7

1 change the divison sign

x = ÷

2 then the second fraction flip it

2/3÷7/3

3 then multiply the fraction

2/3 ÷ 7/3= 14/9 or 1 5/9

6 0

3 years ago

What is the answer for 5.973/0.11

olya-2409 [2.1K]

That would be 54.3 hope this helps

4 0

3 years ago

Read 2 more answers