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3 years ago

6

Cara's muffin recipe calls for 1 1/4 cups of flour for the muffins and 3/4 cups of flour for the topping. If she makes 1/2 of th

e original recipe, how much flour will she use?

1 answer:

maw [93]3 years ago

4 0

Answer:

3/2 X 1/4 +1/2

Step-by-step explanation:

Try using that to work out the answer.

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In 2013, the Pew Research Foundation reported that "45% of U.S. adults report that they live with one or more chronic conditions

marshall27 [118]

<h2>Answer with explanation:</h2>

Formula to find the confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z^* SE$

, where z* = Critical value.

$\hat{p}$ = Sample proportion.

SE= Standard error.

Let p be the true population proportionof U.S. adults who live with one or more chronic conditions.

As per given , we have

$\hat{p}=0.45$

SE=0.012

By z-table , the critical value for 95% confidence interval : z* = 1.96

Now , a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions.:

$0.45\pm (1.96) (0.012)$

$0.45\pm (0.02352)$

$=(0.45-0.02352,\ 0.45+0.02352)=(0.42648,\ 0.47352)$

Hence, a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. $=(0.42648,\ 0.47352)$

Interpretation : Pew Research Foundation can be 95% confident that the true population proportion (p) of U.S. adults who live with one or more chronic conditions lies between 0.42648 and 0.47352 .

4 0

3 years ago

I’ll give Brainlyest

Reptile [31]

Answer:

2 because I said so ok thx

8 0

3 years ago

Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of

Scorpion4ik [409]

Answer:

10 one-dollar and 4 five-dollar bills.

Step-by-step explanation:

Let x = the number of one-dollar bills and y = number of five-dollar bills.

Then:

x + y = 14

x + 5y = 30 (using the values of the bills)

Subtracting the 2 equations:-

-4y = -16

y = 4

so x + 4 = 14

x = 10.

There are 10 one-dollar bills and 4 five-dollar bills.

8 0

2 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

Which equation could you use to find 15 ÷ 3? 15 + 3 = 18 18 – 3 = 15 3 × 5 = 15 30 ÷ 2 = 15

kondor19780726 [428]

3 x 5 = 15 because the opposite of dividing is multiplying

4 0

3 years ago