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Oduvanchick [21]

2 years ago

14

The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of

raisins were needed?

2 answers:

olga55 [171]2 years ago

8 0

Answer:

12 cups of raisins

Step-by-step explanation:

If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!

Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...

We have to multiple 3×4 to find our ?

<em>3×4 = 12</em><em> </em>

<em />

<em>So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!</em>

<em />

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer. </em>

-SGO<em> </em>

<em />

Umnica [9.8K]2 years ago

3 0

Answer:

1.33 or about 2

Step-by-step explanation:

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Which statement is true about the difference 2 square root of 7 − square root of 28 ?

boyakko [2]

I'll go slow:

$2\sqrt 7 - \sqrt{28}$

$=2 \sqrt 7 - \sqrt{4 \cdot 7}$

$=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}$

$=2 \sqrt7 - 2 \sqrt 7$

$=0$

Answer: B rational and equal to 0.

5 0

2 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock

Rainbow [258]

Answer:

8.31 weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

$S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\ \Rightarrow 180 = 120\left(1.05 )^t \\\\$

$\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t$

$\Rightarrow \ln(1.5)=t \ln(1.05)$ [taking log both sides]

$\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31$ weeks

Hence, after 8.31 weeks the stock has been sold for $180.

6 0

3 years ago

Which factor is common to both 2+7+10 and 2−−6?

Black_prince [1.1K]

Answer:

2

Step-by-step explanation:

5 0

3 years ago

A cube and a square pyramid were joined to form the composite solid. A cube with side lengths of 12 inches. A square pyramid wit

Artyom0805 [142]

Answer:

936 square inches

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers