The length of a rectangle is 4 centimeters less than its width. What are the dimensions of the rectangle if its area is 192 square centimeters?

Answer:

7.02

Step-by-step explanation:

20 ¢ x 5 = 1.00

3 x 3.99 = 11.97

11.97 + 1.00 = 12.97

20.00 - 12.97 = 7.02

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Answer: 396 inches

Step-by-step explanation:

Let's remember that for every yard there are 36 inches

there are 11 yards total

so we need to multiply 36 by 11

36x11

396 inches

Answer:

396 inches

Step-by-step explanation:

You multiply the number of inches for every yard (36) by the total number of yards

11*36=396

Answer:

aSDFGHJLLMNNBBBBVCDDG

Step-by-step explanation:

Answer:

The answer is 32

That's easy

Answer:

B

Step-by-step explanation:

your answer should be B because isosceles triangles always have 2 equal sides :))

Answer:

9.512‬

Step-by-step explanation:

Multiplication = Product

Answer:

36

Step-by-step explanation:

Answer:

umm im not really sure about that

Answer:

to standard form

3x-y = -10

Answer:

s = 2

Step-by-step explanation:

3 - 1 = 2

1 + 2 = 3

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Examining the question:

We are given the expression:

[tex]\frac{1}{Sec(\alpha)-Tan(\alpha)}[/tex]

We know from Basic trigonometry that:

[tex]Sec(\alpha) = \frac{1}{Cos(\alpha)}[/tex]

[tex]Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}[/tex]

Simplifying the expression:

Replacing these values in the given expression, we get:

[tex]\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }[/tex]

Since the denominator of both the values in the denominator is the same:

[tex]\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }[/tex]

We know that [tex]\frac{1}{\frac{a}{b} }[/tex] = [tex]\frac{b}{a}[/tex], using the same property:

[tex]\frac{Cos(\alpha)}{1-Sin(\alpha)}[/tex]

and we are done!

Answer:

cos a

---------------------

1  -sin (a)

Step-by-step explanation:

We know that sec a = 1/ cos (a)  and tan a = sin (a) / cos (a)

1

---------------------

1/ cos (a)  -sin (a) / cos (a)

Multiply the top and bottom by cos (a)

1* cos a

---------------------

( 1/ cos (a)  -sin (a) / cos (a)) * cos a

cos a

---------------------

1  -sin (a)

Answer:

Step-by-step explanation:

Who in the holy dimension is gonna measure the weight of a bag in ounces and grams? Tons are just not even close to... Do you know how much a ton is? OHMY.

1 GRAM = 0.00220462 Pound

1 OUNCE = 0.0625 Pound

1 POUND = 16 Ounces

1 TON = 2000 Pounds

You wana carry a 2000 pound bag? I dont think so.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

GL :)

Answer:

Step-by-step explanation:

25

Answer:

K(3,2).

Step-by-step explanation:

We want to find a point K(x,y).

JK = 3/5 JL.

This means that:

[tex]K - J = \frac{3(L - J)}{5}[/tex]

We use this to find both the x-coordinate and the y-coordinate of K.

x-coordinate:

x-coordinate of J: -3

x-coordinate of L: 7

[tex]K - J = \frac{3(L - J)}{5}[/tex]

[tex]x - (-3) = \frac{3(7 - (-3))}{5}[/tex]

[tex]x + 3 = 6[/tex]

[tex]x = 3[/tex]

y-coordinate:

y-coordinate of J: -4

y-coordinate of L: 6

[tex]K - J = \frac{3(L - J)}{5}[/tex]

[tex]y - (-4) = \frac{3(6 - (-4))}{5}[/tex]

[tex]y + 4 = 6[/tex]

[tex]y = 2[/tex]

The point is K(3,2).

Answer:

The answer is A-Each fraction is greater than the previous fraction.

Step-by-step explanation:

To prove that A is wrong, first simply all fractions.

2/3 is already simplified.

4/6 can reduce to 2/3, which already proves that A is wrong.

So, because 2/3 and 4/6 are equal fractions, and A says that each fraction is greater than the previous one, A is wrong.

Answer:

a) The credit score that defines the upper 20% is 705.

b) Eighty-five percent of the customers will have a credit score higher than 470.38.

Step-by-step explanation:

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Mean of 600 and a standard deviation of 125.

This means that [tex]\mu = 600, \sigma = 125[/tex]

(a) Find the credit score that defines the upper 20 percent.

This is the 100 - 20 = 80th percetile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.

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

[tex]0.84 = \frac{X - 600}{125}[/tex]

[tex]X - 600 = 0.84*125[/tex]

[tex]X = 705[/tex]

The credit score that defines the upper 20% is 705.

(b) Eighty-five percent of the customers will have a credit score higher than what value?

This is the 100 - 85 = 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

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

[tex]-1.037 = \frac{X - 600}{125}[/tex]

[tex]X - 600 = -1.037*125[/tex]

[tex]X = 470.38[/tex]

Eighty-five percent of the customers will have a credit score higher than 470.38.

Answer:

Step-by-step explanation:

0 1  

 3 3 ⟌ 6 4  

     - 0    

       6 4  

     - 3 3  

       3 1  

Answer:

Not similar

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

Eliminate the choices.

Not SSS, as you are only given 2 out of 3 side lengths, and you need an angle measure to find the third length

Not AA, since we cant be sure

But seeing as there is one angle that corresponds for both triangles and are in-between two sides, it would be SAS (its not good to pressume, but thats all you can do )

Answer:

she should set up a budget on how much she makes

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: She messed up in Step 1

She first should of tried to factor it first. There she can see that 3 and -11 work together in order to get (x+3)(x-11)

x= -3 and x=11

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

Here is the equation in factor form;

x²-8x-33=0

( x-11) ( x + 3)=0

x-11=0

x +3= 0

x=11

x= -3

ans= She messed up in step 1.

Answer:

y=0.25x

We can think of k as an unknown number.

8×_=2.00

12×_=3.00

20×_=5.00

If we divide 2 with 8 we are left with 0.25.

It's the same for the other numbers so we know the constant is 0.25.

When we use the formula y=0.25x with the numbers above, it is correct.

8×0.25=2.00

12×0.25=3.00

20×0.25=5.00

Answer:

[tex]1\frac{1}{2}[/tex] miles = 7920 feet

2[tex]\frac{1}{2}[/tex] miles = 13200 feet

3[tex]\frac{1}{2}[/tex] miles = 18480 feet

4[tex]\frac{1}{2}[/tex] miles = 23760 feet

5[tex]\frac{1}{2}[/tex] miles = 29040 feet

6[tex]\frac{1}{2}[/tex] miles = 34320 feet

Explanation:

1 mile = 5280 feet

[tex]\frac{1}{2}[/tex] miles = 2640 feet

to convert miles into feet, multiply the whole numbers by 5280 and add 2640 to find your overall feet

2[tex]\frac{1}{2}[/tex] : 2 x 5280 + 2640 = 13200 ft

3[tex]\frac{1}{2}[/tex] : 3 x 5280 + 2640 = 18480 ft

4[tex]\frac{1}{2}[/tex] : 4 x 5280 + 2640 = 23760 ft

5[tex]\frac{1}{2}[/tex] : 5 x 5280 + 2640 = 29040 ft

6[tex]\frac{1}{2}[/tex] : 6 x 5280 + 2640 = 34320 ft

Answer:

A

Step-by-step explanation:

use the formula A=pi*r^2 to find the answer

Answer:

34.54 ft2

Step-by-step explanation:

You could figure it out by simply it

Answer:

area = 96.22 in²

Step-by-step explanation:

area of rectangle = 6.8 x 5.7 = 38.76

area of right side triangle = 1/2(8.4)(6.8) = 28.56

area of left side triangle = 1/2(8.5)(6.8) = 28.9

38.76 + 28.56 + 28.9 = 96.22

Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum

Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.

Step-by-step explanation: