Ask question

Ask question

All categories

2 years ago

11

A recipe calls for 4 cups of sugar and 16 cups of water. If the recipe is reduced, how many cups of water should be used with 1

cup of sugar? How did you solve it?

1 answer:

Radda [10]2 years ago

5 0

Divide the recipe by 4. You need 4 cups of water.

You might be interested in

Pleaseee ANWSER ASAP!!!!

Irina-Kira [14]

Answer:

b--- 222 feet is a answer

7 0

2 years ago

Use elimination to solve the system of equations.<br> 2X - 3Y = 9 <br> -5X - 3Y = 30

shtirl [24]

Answer:

X = -3

Y = -5

Step-by-step explanation:

2X - 3Y = 9

<u>- (-5X - 3Y) = 30</u>

7X + 0Y = -21

X = -3

2(-3) - 3Y = 9

- 3Y = 15

Y = -5

6 0

2 years ago

A television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Angelina_Jolie [31]

Answer: a)2206 b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

b) If prior population proportion (p) is unknown.

$n=0.25(\dfrac{z_{c}}{E})^2$

where, ${z_{c}$ is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who "follow professional football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2205.4656\approx2206$ [Rounded to the next whole number.]

∴ The sample size is <u>2206</u>.

b) Proportion of citizens who "follow professional football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=0.25(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2209$

∴ The sample size is <u>2209</u>.

8 0

2 years ago

I would really appreciate help with the following, along with work shown so I can understand how these were solved.

Alja [10]

First, you have to know the double angle formula:

sin 2A = 2 sin A cos A

cos 2A = cos² A − sin² A = 2 cos² A − 1 = 1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)

Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.

For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2) = (1 − cos B) / sin B<span> = sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>

For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste.

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

You may not have the csc button on your calculator. Recall that csc is 1/sin, so sinx=1/8 or sinx=-1, so x is either 7.18 or 270 degrees

6 0

2 years ago

A piece of paint cost $400. There is a 25% mark-<br> up. What is the selling price of the painting?

Sliva [168]

Answer:

$500.

Step-by-step explanation:

6 0

3 years ago