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Answer:

5

Step-by-step explanation:

area of rectangle = l(ength)×w(idth)

perimeter = 2×l + 2×w

diagonal = sqrt(l² + w²) (Pythagoras)

l×w = 12. => l = 12/w

2×l + 2×w = 14

2×12/w + 2×w =14

12/w + w = 7

12 + w² = 7w

w² - 7w + 12 = 0

=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4

=> (w-3)×(w-4) = 0

so, we get 2 solutions for w : 3 and 4

that gives us 2 solutions for l : 4 and 3

so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.

diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5

Answer: the answer should be 10%

Step-by-step explanation:

Answer:

10% is correct!

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The rule here is that the product of the lengths from the external point of intersection (angle vertex) to the intersections with the circle is the same for both secants. The tangent counts as intersecting the circle twice. So, we have ...

  (6)(6) = (3)(x)

  x = 36/3 = 12 . . . . . divide by the coefficient of x

Answer: x= 17 I hope that helps you understand it Goodbye!

Step-by-step explanation:  

7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down

1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides

2. 7x=5x+20+14 = 5x+34

3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides

4. 7x-5x=34 So then I do 7x-5x=2x

5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17

So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please  

Answer:

c) vertical stretch by a factor of 2

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Horizontal stretch by a factor of 1/2.

We can also describe this as a horizontal compression by a factor 2

Answer:

Exactly 16

Step-by-step explanation:

3/4 is .75

12/.75 would be 16

Answer:

B is the answer trust me I already took the math.

Step-by-step explanation:

Answer:

1) 2/1

2) 13/1

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

45/(y+7)+11

y=2

45/(2+7)+11

45/9+11

45/20

9/4

If this helps please mark as brainliest

Answer:

16

Step-by-step explanation:

45 ÷ (y + 7) + 11

45 ÷ (2 + 7) + 11

45 ÷ (9) + 11

5 + 11

16

Answer:

False

Step-by-step explanation:

Precision  describes repeatability.  

Accuracy  describes the closeness of a measurement to the actual value.

 So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).

Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.

Answer:

9y+7=2y+98

5y=91

y=91\5

Answer:

54

Step-by-step explanation:

Calculation to determine How many problems on the final exam did Cameron get wrong

Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)

Let plug in the formula

Wrong Numbers of problems=200-(73%*200)

Wrong Numbers of problems=200-146

Wrong Numbers of problems=54 problems

Therefore the problems on the final exam that Cameron get wrong is 54

Answer:

54

Step-by-step explanation:

ok

Answer:

[tex]p' = 0.22[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{78}{100}[/tex]

Required

Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles

To do this, we make use of complement rule;

Which states that:

[tex]p + p' = 1[/tex]

Make p' the subject

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - \frac{78}{100}[/tex]

Express fraction as decimal

[tex]p' = 1 - 0.78[/tex]

[tex]p' = 0.22[/tex]

Answer:

B, C, D.

Step-by-step explanation:

These are all statistical questions since these can be answered by collecting data that vary.

Answer:

4/5

Step-by-step explanation:

here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5

Answer:

=30−11√1

hope it helped!

Answer:

[tex]c=\sqrt{174}[/tex]

Step-by-step explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)

Answer:

3/4.

Step-by-step explanation:

Convert both of the mixed numbers into improper fractions.

2 5/12 becomes 29/12, 1 8/12 becomes 20/12.

From there, subtract 20/12 from 29/12 and you get 9/12.

Simplify 9/12 to get 3/4.

Your answer is 3/4.

I hope this helped, have a nice day.

Answer:

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.

pls Mark me as brainliest trust me..

Answer:

D). 100

Step-by-step explanation:

The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100

Suppose Easton entered in * x * shows , So we have :

60/100 × x = 15

x = 1500/60

x = 150/6

x = 25

Thus he entered 25 shows last year.

Answer:

A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F

Step-by-step explanation:

A regression model is in the form :

y = mx + c

With m being the slope = rate of change

In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x

The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F

Answer:

q = 3m

Step-by-step explanation:

We know that segment HF is half of IJ, therefore we can say;

IJ / 2 = HF or q

6 / 2 = HF or q

3 = HF or q

Hope this helps!

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

Answer:

Yes I would

Step-by-step explanation:

You would not have enough test subjects to have an accurate survey.

Answer:

97 students must be randomly selected for IQ tests.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The Standard Deviation is 15.

This means that [tex]\sigma = 15[/tex]

How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?

This is n for which M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.96*15[/tex]

Simplifying both sides by 3

[tex]\sqrt{n} = 1.96*5[/tex]

[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]

[tex]n = 96.04[/tex]

Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):

97 students must be randomly selected for IQ tests.

Answer:

Option a.

Step-by-step explanation:

By looking at the options, we can assume that the function y(x) is something like:

[tex]y = \sqrt{4 + a*x^2}[/tex]

[tex]y' = (1/2)*\frac{1}{\sqrt{4 + a*x^2} }*(2*a*x) = \frac{a*x}{\sqrt{4 + a*x^2} }[/tex]

such that, y(0) = √4 = 2, as expected.

Now, we want to have:

[tex]y' = \frac{x*y}{2 + x^2}[/tex]

replacing y' and y we get:

[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]

Now we can try to solve this for "a".

[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]

If we multiply both sides by y(x), we get:

[tex]\frac{a*x}{\sqrt{4 + a*x^2} }*\sqrt{4 + a*x^2} = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}*\sqrt{4 + a*x^2}[/tex]

[tex]a*x = \frac{x*(4 + a*x^2)}{2 + x^2}[/tex]

We can remove the x factor in both numerators if we divide both sides by x, so we get:

[tex]a = \frac{4 + a*x^2}{2 + x^2}[/tex]

Now we just need to isolate "a"

[tex]a*(2 + x^2) = 4 + a*x^2[/tex]

[tex]2*a + a*x^2 = 4 + a*x^2[/tex]

Now we can subtract a*x^2 in both sides to get:

[tex]2*a = 4\\a = 4/2 = 2[/tex]

Then the solution is:

[tex]y = \sqrt{4 + 2*x^2}[/tex]

The correct option is option a.

Answer:

70

Step-by-step explanation:

y^3 +6

Let y=4

4^3 +6

64+6

70