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wolverine [178]
3 years ago
12

Carrie wanted to make pudding for dessert for her family. However, she couldn't find a recipe that would make four servings. She

decided to use a recipe for eight servings and use only half as much of each ingredient. The recipe for eight called for one and a fourth cups of raisins. How many cups of raisins will she need for four people?
Mathematics
2 answers:
pashok25 [27]3 years ago
8 0
The answer is 5/8.which is half of the cup of rasins.
levacccp [35]3 years ago
5 0
<h2>Answer:</h2>

The number of cups of raisins will she need for four people is:

                     \dfrac{5}{8}\ cups

<h2>Step-by-step explanation:</h2>

It is given that:

Carrie couldn't find a recipe that would make four servings. She decided to use a recipe for eight servings and use only half as much of each ingredient.

i.e. she is using half  actual amount which is given for the 8 servings.

Now, it is given that:

The recipe for eight called for one and a fourth cups of raisins.

i.e. the cup of raisins used for eight servings is: 1\dfrac{1}{4}\ cups

i.e.

1\dfrac{1}{4}\ cups=\dfrac{1\times 4+1}{4}\cups\\\\i.e.\\\\1\dfrac{1}{4}\ cups=\dfrac{5}{4}\ cups

Hence, the number of cups of raisins she used for 4 people is:

               =\dfrac{1}{2}\times \dfrac{5}{4}\ cups\\\\\\=\dfrac{5}{8}\ cups

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Which other expression has the same value as (-14) - (-8)? Explain your reasoning. *
Anarel [89]

Answer:

The answer is -22 because when you subtract -8 from -14 it gives you -22.

Hope this helps!

5 0
3 years ago
The rectangle below has sides measuring 6cm and 5 cm. What is the area of this rectangle<br>​
sleet_krkn [62]

Answer:30 cm

Step-by-step explanation:

Area is found by two side lengths multiplied together, the two side lengths in the problem are 5cm and 6cm, 5 times 6 is 30, (plus add the measurement) which is 30 cm. :))

4 0
3 years ago
A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase
il63 [147K]

Answer:

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

<em>The question is incomplete. The complete question is:</em>

<em>"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that </em><em>318 of the 520 men </em><em>who were surveyed supported this proposed law while </em><em>379 of the 460 women </em><em>sampled said ‘‘yes”. Use this information to find a </em><em>90% confidence interval</em><em> for the difference in the two proportions, </em><em>pm - pw.</em><em> </em><em>Subscript pm</em><em> is the proportion of men who support the proposed law and </em><em>pw</em><em> is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"</em>

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

p_m=X_m/n_m=318/520=0.612

The sample 2, of size nw= has a proportion of pw=0.824.

p_w=X_w/n_w=379/460=0.824

The difference between proportions is (pm-pw)=-0.212.

p_d=p_m-p_w=0.612-0.824=-0.212

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711

The estimated standard error of the difference between means is computed using the formula:

s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029

Then, the margin of error is:

MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0
3 years ago
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sleet_krkn [62]

Answer:

B. 2 weeks

Step-by-step explanation:

1st week

Brian will have $40

Sarah will have $30

2nd week

Brian will have $50

Sarah will have $50

3 0
3 years ago
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frosja888 [35]

Step-by-step explanation:

76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest

5 0
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