5 1/2 qt -_= 4 cups plreaseeeee help

Answer:

0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose 54% of the registered voters in a country are Democrats. Sample of 770.

This means that:

[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]

What is the probability that the sample proportion of Democrats will be greater than 52%?

This is 1 subtracted by the p-value of Z when X = 0.52. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a p-value of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.

Answer:

5

Step-by-step explanation:

Answer:

the surface area is 150 inches

Step-by-step explanation:

Hope this helps :)

Answer

12.5663706

Step-by-step explanation:

if r=2

the equation for area of circle is 2pier

plug in r and you get 2pi2

mulitply it is 12.5663706 or 4pi.

Answer:

They will have the same volume

Step-by-step explanation:

Given the rectangular prisms above :

Prism 1 dimension = (3 * 1 1/2 * 2 1/2) inches

Prism 2 dimension = (2 1/2 * 3 * 1 1/2) inches

Recall; Volume of a rectangular prism is :

V = length * width * height

Prism 1 :

V = (3 * 1 1/2 * 2 1/2) = 11.25 in³

Prism 2 :

V = (2 1/2 * 3 * 1 1/2) = 11.25 in³

Hence, Volume of prism will be the same

Answer:

Imaginary

Step-by-step explanation:

after calculating the square root of 36, and "i" came after it indicating it was an imaginary number.

Answer:

See image below:)

Step-by-step explanation:

Answer:

[tex]y=2\frac{1}{7}[/tex]

Step-by-step explanation:

(y · 7) - 4 = 11

7y - 4 = 11

7y - 4 + 4 = 11 + 4

7y = 15

7y ÷ 7 = 15 ÷ 7

[tex]y=2\frac{1}{7}[/tex]

Answer:

1,848

Step-by-step explanation:

Find the arithmetic pattern:

*Arithmetic means addition or subtraction*

To get from 8 to 14, we must add 6.

To get from 14 to 20, we must add 6.

The arithmetic pattern is 6.

List the rest of the terms (24 terms total):

8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 134, 140, 146

Formula:

Sn = n (a1 + an/2)

a1 = first term

an = last term

n = number of terms

Sn = 24 (8 + 146/2)

Sn = 24 (154/2)

Sn = 24 (77)

Sn = 1,848

Answer:

1848

Step-by-step explanation:

a=8

d=14-8=6

n=24

[tex]S_{n}=\frac{n}{2} [2a+(n-1)d]\\S_{24}=\frac{24}{2} [2 \times 8+(24-1)6]\\=12[16+138]\\=12 \times 154\\=1848[/tex]

Answer:

calculator on cumputer but 0.21

Step-by-step explanation:

[tex]\sf\purple{17}[/tex] ✅

Step-by-step explanation:

[tex] \frac{5.44}{0.32}[/tex]

To remove the decimal, we divide both the numerator and denominator by 100

[tex] \frac{5.44 \times 100}{0.32 \times 100} \\ = \frac{544}{32} \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

195 mL of the 90% solution

Step-by-step explanation:

Let the number of mL of 90% mixture = x

Hence, our equation is

780mL × 15% + x mL × 90% = (780mL + x) 30%

117 + 0.9x = 234 + 0.3x

Collect like terms

0.9x - 0.3x = 234 - 117

0.6x = 117

x = 117/0.6

x = 195 mL

Therefore, You will need 195 mL of the 90% solution

Answer: 12x^ 3 + 22x^ 2 +26x + 9

Answer:

[tex]Area= 37193\ cm^2[/tex]

Step-by-step explanation:

Given

[tex]q = 590cm[/tex]

[tex]r = 310cm[/tex]

[tex]\angle P =24^o[/tex]

Required

The area of [tex]\triangle PQR[/tex]

This is calculated as:

[tex]Area= \frac{1}{2} * qr* \sin(P)[/tex]

So, we have:

[tex]Area= \frac{1}{2} * 590cm * 310cm* \sin(24^o)[/tex]

[tex]Area= \frac{1}{2} * 590cm * 310cm* 0.4067[/tex]

[tex]Area= 37192.715cm^2[/tex]

[tex]Area= 37193\ cm^2[/tex] ----- approximated

Answer:

See attachment for circle

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for circle

Answer:

We are 95% sure that the true difference in time to pack the jars between the old machine and the new machine is between 3.08 and 10.12 minutes, that is, we are 95% sure that the new machine takes between 3.08 and 10.12 minutes less than the old machine to pack the jars.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

95% confidence interval of (3.08, 10.12) for the true difference in average times to pack the jars (old machine - new machine).

We are 95% sure that the true difference in time to pack the jars between the old machine and the new machine is between 3.08 and 10.12 minutes, that is, we are 95% sure that the new machine takes between 3.08 and 10.12 minutes less than the old machine to pack the jars.

Answer:

[tex]x = \frac{205}{3}[/tex]

[tex]y =\frac{195}{4}[/tex]

Step-by-step explanation:

Given

[tex]p = 410[/tex] --- perimeter

See attachment for fence

Required

x and y

The perimeter of the fence is:

[tex]p = 2(x + y +5 + y) +x[/tex]

Open bracket

[tex]p = 2x + 2y +10 + 2y +x[/tex]

Collect like terms

[tex]p = 2x+x + 2y + 2y+10[/tex]

[tex]p = 3x + 4y+10[/tex]

Substitute: [tex]p = 410[/tex]

[tex]3x + 4y+10 =410[/tex]

Make 4y the subject

[tex]4y =410-10-3x[/tex]

[tex]4y =400-3x[/tex]

Make y the subject

[tex]y =\frac{400-3x}{4}[/tex]

The area (A) of the fence is:

[tex]A = (y + y + 5) * x[/tex]

[tex]A = (2y + 5) * x[/tex]

Substitute: [tex]y =\frac{400-3x}{4}[/tex]

[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]

[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]

Take LCM

[tex]A = (\frac{400-3x+10}{2}) * x[/tex]

Solve like terms

[tex]A = (\frac{410-3x}{2}) * x[/tex]

Open bracket

[tex]A = \frac{410x-3x^2}{2}[/tex]

Remove fraction

[tex]A = 205x-1.5x^2[/tex]

Differentiate both sides

[tex]A' = 205 - 3x[/tex]

To maximize; set [tex]A' =0[/tex]

[tex]205 - 3x =0[/tex]

Solve for 3x

[tex]3x = 205[/tex]

Solve for x

[tex]x = \frac{205}{3}[/tex]

Recall that: [tex]y =\frac{400-3x}{4}[/tex]

So, we have:

[tex]y =\frac{400-3*205/3}{4}[/tex]

[tex]y =\frac{400-205}{4}[/tex]

[tex]y =\frac{195}{4}[/tex]

Answer:

31.4

Step-by-step explanation

I think

Answer:

price club is .28 cents per ounce and Shop mart is .26 cents per ounce.

Step-by-step explanation:

To find the unit price per ounce, you divide the cost by the weight ($3.43/12 ounces) which equals .28 cents per ounce. The non-estimated answer is .28666 but since you never round up for money it eill be .28. For shop mart, you convert pounds to ouncea. 1 pound equals 16 ounces. with this in mind, 2 pounds will be 32 ounces since its double the amount. Divide $8.35 by 32 and you get .26 cents per ounce.

Answer:

I believe the correct answer is 8, if i'm incorrect tell me

Please mark me brainliest!

Answer:

8.

Step-by-step explanation:

Front of first car and back of last are untouched.

Answer:

yes

Step-by-step explanation:

Answer:

Denver, Colorado is 0.98 miles above sea level

Step-by-step explanation:

There are 5280 feet in one mile. 5183/5280=0.98, rounding to the nearest hundredth.

So, Denver, Colorado is 0.98 miles above sea level, or 49/50 of a mile.

Answer:

3 days

Step-by-step explanation:

Divide the time value by 86400

Answer:

5y345

Step-by-step explanation:

i did it before

Answer:

I would love to help what would be the first question

Answer:

The business's total revenue the previous year was $22,000.

Step-by-step explanation:

Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.

100% - 15% = 85%

So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.

So really, this question is asking 18,700 is 85% of what?

Y = P% of WHAT?

18,700 = 85% of X

18,700 = 0.85 · X

Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.

18,700 ÷ 0.85 = 0.85 · X ÷ 0.85

Simplified, this is 22,000 = X

So their total revenue the previous year was $22,000.

This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.

Answer:

$21,505

Step-by-step explanation:

$18,700×115%=$18,700×115/100

=$21,505

Answer:

5 • 1= 5 + 0

Step-by-step explanation:

Frist Option:

1 + 1 = 1 * 1

2 ≠ 1

Second Option:

7 * 1 * 0 = 7 + 1 + 0

0 ≠ 8

Third Option:

5 * 1 = 5 + 0

5 = 5

Forth Option:

3 + 1 =  3 * 0

4 ≠ 0

The third option is correct. Hope this helps.

The equation 5·1=5+0 is true. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A) 1+1=1·1

2≠1

B) 7·1·0=7+1+0

0≠8

C) 5·1=5+0

5=5

D) 3+1=3·0

3≠0

Therefore, option C is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.

On a graph, it looks like the graph above.

Answer:

m, n and p

Step-by-step explanation:

Given

[tex]2m^2 + 3mn + 4p[/tex]

Required

List out the variables

Literally, the variables are the alphabets in the expression

And they are:

m, n and p

Answer:

AOB = 65

DOE = 35

AOC = 90

EOB = 115

DOB = 80