what is the area of a square whose diagonal is 8?

Step-by-step explanation:

the area of a rectangle is

length × width.

so, we have here

45 = 6 × width

width = 45/6 = 15/2 = 7.5 in = 7 1/2 in

Answer:

$ 12.60

Step-by-step explanation:

30 shares × $ 0.42 = $ 12.60

Answer:

$1,260

Step-by-step explanation:

3000 x .42 = 1260

Answer:

18 years

Step-by-step explanation:

The average of 4 ages:

(11   + 16+16    + 29 )/4

Answer:

The mean of their ages is 18.

Step-by-step explanation:

11 + 16 + 16 + 29 = 72

72 ÷ 4 = 18

Answer:

why do ask the question which answer is given below

Answer:

I got 27,719.

Step-by-step explanation:

I Did the long route and multiplied 14,000 by .05 and adding that and doing that to my answer 14 times. so 14,000-14,700-15,435-16,206.75,17,017 so on and on. Tbh I would know tho

Answer:

48

Step-by-step explanation:

[tex](17x+4y)+(48x+21y)[/tex]

Simplify:

(1) Combine like terms

[tex]17x+4y+48x+21y[/tex]

[tex]65x+4y+21y[/tex]

(2) Combine like terms

[tex]65x+4y+21y[/tex]

[tex]65x+25y[/tex]

Solution:

[tex]A) 65x+25y[/tex]

Answer:

[tex]65x+25y[/tex]

Step-by-step explanation:

[tex](17x + 4y) + (48x + 21y)[/tex]

[tex]17x+4y+48x+21y[/tex]

[tex]17x+48x+4y+21y[/tex]

[tex]65x+4y+21y[/tex]

[tex]65x+25y[/tex]

Answer:

Jaylon has completed 12 problems.

Step-by-step explanation:

(This is how I learned it- I'm not sure if you have been taught this way..)
Step 1. Set up a proportion
[tex]\frac{60}{100} = \frac{x}{20}[/tex]
Step 2. Do 200x 60 to get 1200
Step 3. Get this equation
[tex]\frac{1200}{100} = x[/tex]
Step 4. Get the answer of 12
I hope this helps! :)

Answer:

Jaylon has completed 12 problems so far

Step-by-step explanation:

Step 1:  Determine the amount of problems that were completed

(Total number of problems) * (Percent of completed problems)

(20) * (60% / 100%)

(20) * (0.6)

12

Answer:  Jaylon has completed 12 problems so far

Answer:

C

Step-by-step explanation:

substitute the given values for j and k into the expression

[tex]\frac{2.5(6)(4)}{6}[/tex]

= [tex]\frac{2.5(24)}{6}[/tex]

= [tex]\frac{60}{6}[/tex]

= 10

Answer:

The daily cost is $6 because that is being multiplied by the x which represents days. The 81 represents the flat fee.

Step-by-step explanation:

Answer:

B. They did not survey employees in other offices around the country

Step-by-step explanation:

1. A random sample is when you randomly choose options from the whole list. In this case, they make it clear that there are other offices. They didn't give a chance to the rest of the offices to take a survey.

2. Surveying "all" the employees is not what a random sample is. A random sample is supposed to help make it more distributed among the people you survey. Making all of them take it in a cluster is not random.

3. The other choices don't make sense because they don't mention anything about them: nothing about the employees working 5 years, nothing about it being conducted electronically, and nothing about a time limit.

Answer:

[tex]\boxed{D)\;gp+gq-gr+hp+hq-hr}[/tex]

Step-by-step explanation:

[tex]\left(g+h\right)\left(p+q-r\right)[/tex]

[tex]gp+gq+g\left(-r\right)+hp+hq+h\left(-r\right)[/tex]

[tex]gp+gq-gr+hp+hq-hr[/tex]

Hope it helps!

Answer:

D. gp + gq - gr + hp + hq - hr

Step-by-step explanation:

I got it right on my test.

Answer:

(3x+4)(2x−5)

Step-by-step explanation:

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -20

Step-1 : Multiply the coefficient of the first term by the constant   6 • -20 = -120

Step-2 : Find two factors of  -120  whose sum equals the coefficient of the middle term, which is   -7 .

     -120    +    1    =    -119

     -60    +    2    =    -58

     -40    +    3    =    -37

     -30    +    4    =    -26

     -24    +    5    =    -19

     -20    +    6    =    -14

     -15    +    8    =    -7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  8

                    6x2 - 15x + 8x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (2x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (2x-5)

            Which is the desired factorization

Answer:

Tyler: 5x + 2y = 24

Gabe = 4x + 4y = 30

x = 3

y = 4.5

Step-by-step explanation:

4y = 30 - 4x

y = 7.5 - x

5x + 2(7.5 - x) = 24

3x + 15 = 24

x = 3

y = 7.5 - 3

y = 4.5

No diagram is visible!

You might have to repost the question again.

Answer: For the acellus people its 8.1

Step-by-step explanation:

Answer:

z = 6

9 followed by a lowercase number, whether it's x, y, or z usually always means add 1 or multiply by an unknown number. In this case, we are multiplying.

[tex]9 * 45 = 405(wrong)\\\\9 * 63 = 567(wrong)\\\\9 * 7 = 63(wrong)\\\\9 * 6 = 54(correct)[/tex]

That said, the answer is six.

Step-by-step explanation:

formula=⅓πr×r

⅓ * 22/7 * 4*4

1056/21

=50.285

approximately=50.3

Answer:

  ∠F ≈ 74°

Step-by-step explanation:

The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.

__

  f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F

  cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)

  F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F

  F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)

  ∠F ≈ 74°

Answer:

~ 70 %

Step-by-step explanation:

(31.28 - 25)/ 11.42    means  25 is .5499  S.D. below the mean

z -score = .7088

 70.88 % chance of less than = 25 dollars

The required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a) X = 25 , μ = 31.28 and σ = 11.42

[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{11.42}\\z = -0.5499[/tex]

Using z score
Now a probability that one randomly selected student will spend less than $25 per week on food is given.
P(x<25) = p(z = -0.5499)
             = 0.2911

b) number of sample = 10
standard deviation = 11.42/√10
                                = 3.611

Herr,

[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{3.611}\\z = -1.7444[/tex]

Probability (x<25) = p(z = -1.7444)
Using the Z score table,
Probability (x <25) = 0.040

Thus, the required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.

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answers:

medium-41.4,48.6

large-55,59.4

extra large-62,57.04

yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large

The missing values for Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given table for size and weight of eggs and  the weight of each egg can vary up to 8%.

for Medium eggs Advertised weight = 45 g

lightest weight = 45 - 8% of Advertised weight

because Advertised weight is average of lightest weight and heaviest egg weight,

lightest weight = 45 - 45(0.08)

lightest weight = 41.4 g

heaviest egg weight = 45 + 8% of Advertised weight

lightest weight = 45 + 45(0.08)

lightest weight = 48.6 g

missing values for medium egg = 41.4g and 48.6g

For Large egg

lightest weight = 50.6

Advertised weight = 50.6 + 8% of lightest weight

Advertised weight = 50.6 + 50.6(0.08)

Advertised weight = 54.9 = 55g

heaviest egg weight =  55 + 8% of Advertised weight

heaviest egg weight =  55 +55(0.08)

heaviest egg weight = 59.4g

missing values for large egg =  55g and 59.4g

For Extra large egg

heaviest egg weight = 66.96 g

Advertised weight = 66.96 - 8% of heaviest egg weight

Advertised weight = 66.96 - 66.96(0.08)

Advertised weight = 61.6 = 62 g

lightest weight = 62 - 8% of Advertised weight

lightest weight = 62 - 62(0.08)

lightest weight = 57.04 g

missing values for extra large egg is 62g and 57.04 g

Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.

Hence the missing values are,

Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

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Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

The most appropriate chart for Mrs. Vanwhy is the one where the columns are foreign language and honor roll, no foreign language, honor roll, and total (option D).

To identify the most appropriate table for Mrs. Vanwhy we must identify what data she wants to include in the table.

Taking the above information into account, it can be inferred that the most appropriate table for Mrs. Vanwhy is option D because it includes all the data that she wants to tabulate.

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Answer:

D.) The last table is the answer

Step-by-step explanation:

I finished the test.

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.

Let's set up the null and alternative hypotheses:

Null hypothesis:

The distribution of blood types in hospital patients is the same as that of the general population.

Alternative hypothesis:

The distribution of blood types in hospital patients is different from that of the general population.

We can use a chi-squared test to test the hypothesis.

First, we need to calculate the expected frequencies for each blood type based on the general population distribution:

Expected frequency of type A = 50 x 0.22 = 11

Expected frequency of type B = 50 x 0.28 = 14

Expected frequency of type O = 50 x 0.38 = 19

Expected frequency of type AB = 50 x 0.12 = 6

Next, we can calculate the chi-squared statistic:

[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]

The degrees of freedom for the test is (4 - 1) = 3.

Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.

Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.

Thus,

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

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Answer:

Given :-

To find :-

Solution :-

Putting the known values

Circumference = 2 × 3.14 × 4

Circumference = 25.12 cm

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

This is the standard form of the quadrartic equation. "a" is the leading coefficient and a non-zero real number.

Answer:

Polygon WXYZ is the same shape and size as polygon ABCD. Each side of WXYZ is double the length of ABCD. The ratio of the length of each side of WXYZ to its corresponding side of ABCD is 2. A characteristic of figures that have the same shape is that ratios of corresponding sides are equal.

Step-by-step explanation:

Answer:

edges

Step-by-step explanation:

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682