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3 years ago

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To make 1 1/2 dozen muffins, a recipe uses 3 1/2 cups of flour. How many cups of flour are needed for every dozen muffins made?

Enter your answer in the box as a mixed number in simplest form.

1 answer:

11111nata11111 [884]3 years ago

5 0

7/3 you divide 3.5 by 1.5 and get 2.3333333 which in fraction form is 7/3

You might be interested in

What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24

almond37 [142]

Answer:

The fraction is $\frac{9}{15}$

Step-by-step explanation:

$\frac{36}{60}$ = $\frac{x}{y}$

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So $\frac{x}{y}$ = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is $\frac{9}{15}$

5 0

4 years ago

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0

3 years ago

How to do this question plz answer

weeeeeb [17]

9514 1404 393

Answer:

102

Step-by-step explanation:

The total of ratio units is ...

6 + 3 + 8 = 17

The difference between the Charlie's ratio units and Adrian's ratio units is ...

8 - 6 = 2

That is, the total number of ratio units is 17/2 = 8.5 times that difference.

The actual difference is 12 sweets, so the total number of sweets is ...

8.5 × 12 = 102 . . . . total sweets

4 0

3 years ago

Is 26,341 divisible by 3?

shepuryov [24]

No. 26,341 is not evenly divisible by 3 .

Here's the trick you can use to decide this
just by looking at a big number:

==> If a number is divisible by 3, then the
sum of its digits is divisible by 3.

I've never taken the trouble to figure out why this works,
but it does work. I didn't make it up. It's widely known.

So let's look at 26,341 .

The sum of the digits is (2 + 6 + 3 + 4 + 1) = 16 .

16 is not divisible by 3 , so 26,341 is not divisible by 3 .

Is that cool or what !

3 0

3 years ago

Read 2 more answers

Correct answer gets brainliest and 5 stars

Serggg [28]

Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

3 0

3 years ago