One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 35 individuals who consider themselves to be avid Internet users results in a mean time of 1.99 hours watching television on a weekday.

Required:
Determine the likelihood of obtaining a sample mean of 1.99 hours or less from a population whose mean is presumed to be 2.45 hours.

Answer:

The signs will be + and -

Step-by-step explanation:

Required

The signs in the parenthesis of difference of two squares

Let the expression be:

[tex](x^2 - a^2)[/tex]

Expand

[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]

Factorize

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

Factor out x - a

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

See that the sign in front of a is + and - in the parentheses

Answer:

5

Step-by-step explanation:

Since both triangles are similar, the ratio of their corresponding side lengths would be equal.

This implies that:

AB/40 = 8/64

Cross multiply

AB*64 = 40*8

AB*64 = 320

AB = 320/64

AB = 5

Answer:

Step-by-step explanation:

the Answer is 4

Answer:

300ft^2

Step-by-step explanation:

Total surface area = Area of base + (1/2) x perimeter of base x slant height

Area of base = length² = 10 x 10 = 100

Perimeter of base = 2 ( length + breadth)

2 x 20 = 40

slant height = 10

100 + (1/2) x 40 x 10 = 300 ft^2

Answer: 125.6

Step-by-step explanation:

Answer:

BR is about 7.3084 cm

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24

since I want BR, I will use cos (adj/hyp)

cos24=s/8

.9135=s/8

7.3084=s

Answer:

N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees

Step-by-step explanation:

Add all them up then make them equal 180 degrees

9x-9 = 180

Solve

9x=180 +9

9x= 189

9x/9= 189/9

x=21

Then plug in x to find each Angle.

N (x) Degrees

N=21 Degrees

M = 6x - 4

M = 6(21) - 4

M = 126 - 4

M = 122 Degrees

L = 2x - 5

L = 2(21) -5

L = 42 - 5

L = 37 Degrees

Answer:

juicy no no square

Step-by-step explanation:

The value of x = z = 73 degrees and y = 107degrees

3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.

From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:

The sum of z and 107 is supplementary. Hence;

Also, the sum of x and y is also supplementary. This shows that:

From the calculations, hence x = z = 73 degrees and y = 107degrees

Learn more on lines and angles here: https://brainly.com/question/19023162

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

Answer:

$150

Step-by-step explanation:

I = prt

I = 5000(.06)(.5)

I = 150

Answer:

Step-by-step explanation:

The other guy has mislead other people. If i turned my thing in, I would have gotten a 90% instead of 100%.

It is A.

38 degrees.

The measure of x is (a) 38 degrees

The given parameters are:

[tex]mAB = 27^o[/tex]

[tex]mCD = 49^o[/tex]

The measure of x, is the average of angles AB and CD.

So, we have:

[tex]x = \frac{mAB + mCD}{2}[/tex]

Substitute known values of AB and CD in the above equation.

So, we have:

[tex]x = \frac{27^o + 49^o}{2}[/tex]

Add 27and 49

[tex]x = \frac{76^o}{2}[/tex]

Divide 76 by 2

[tex]x = 38^o[/tex]

Hence, the measure of x is (a) 38 degrees

Read more about angles at:

https://brainly.com/question/10139767

9514 1404 393

Answer:

  5 and 8

Step-by-step explanation:

Factor pairs that make 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

The pair that has a sum of 13 is 5 and 8.

Answer:

E. j<5.5

Step-by-step explanation:

Step by step explanation

Answer:

speak english plz

Step-by-step explanation:

Answer:

Step-by-step explanation:

The new point after a reflection over the y-axis is (-4,6)

Step-by-step explanation:

Total amount of cookies= 268

One bag can hold 8 cookies

268 / 8 = 33 (remainder 4)

He can make as many as 33 bags, and there are 4 cookies left over.

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

Answer:

182.91

Step-by-step explanation:

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

[tex]p = (0.98)^6*0.02 = 0.0177[/tex]

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with [tex]p = 0.02[/tex]

Expected number before 1 defective(n = 1). So

[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]

Variance is:

[tex]V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208[/tex]

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Answer:

18/26

16/26

16/26

18/26

Step-by-step explanation:

Answer:

B. 5

Step-by-step explanation:

Given expression;

n(n - x) = 25

From the given expression, x = 0

Substitute the value of x into the given equation  and solve for n;

n(n - 0) = 25

this equation reduces to;

n(n) = 25

simplifying further to obtain the value of n;

n² = 25

n = √25

n = 5

Therefore, the correct option is  B.

Answer:

It is 20%

Step-by-step explanation:

$60 - $40 = $20

Answer:

follow me and I will answer it

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

Answer:

The unit price is $0.98

Answer:

98¢

Step-by-step explanation:

The unit price of an item is the price of one unit. In this case, this would be the price of a single kilogram.

To find the unit price, we'll divide the given price by the amount of units it is for. So, divide 1.96 by 2.

1.96 ÷ 2 = unit price

0.98 = unit price

This means the price of a single kilo of potting soil is $0.98. The unit price of the potting soil is 98 cents.

Good luck :)

Answer:

Perimeter is (width×height) but in this case it would be base×width & height...

First find the with of the triangle,by measureing the points with the base.

Second to find the base simply look equilateral and the half circle. and see how the lines in between it and the triangle collide. and count the spaces to find the base.

Third measure the height with the best estimate.

And finally, multiply by (h×w) and divide by the base.

After following these steps the answer I have come to is: 45

Step-by-step explanation:

I'm sorry if this is wrong I tried my best ❤️Good luck! and have a great day or night!

Answer:

42,84

Step-by-step explanation:

Remark

Two of the sides are 12 inches. The third side is also 12 but it serves as a diameter of the semicircle.

The circumference of the semi circle is 2*pi*r /2 = pi * r

The total perimeter is pi * r + 2*12

r = d/2

r = 12/2

r = 6

Perimeter = 6*pi + 24 might be you answer.

Perimeter = 42.84

I don't know which answer to use. It all depends how other questions have been answered. Sometimes you take the decimal answer and sometimes you take the answer in terms of pi. I think the latter is what I would try first.

Answer:

0.3L

Step-by-step explanation:

1000mL = 1L

300mL = 0.3L

Answer:

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.

At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So

[tex]H_0: \mu = 350[/tex]

At the alternate hypothesis, we test if this mean increased, that is:

[tex]H_1: \mu > 350[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

350 is tested at the null hypothesis:

This means that [tex]\mu = 350[/tex]

After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.

This means that [tex]n = 35, X = 405, s = 25[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]

[tex]t = 13.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.

Using a t-distribution calculator, this probability is of 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Answer:

1/3

Step-by-step explanation:

there are 4 numbers total that are less than 3 and there are 12 sides total

so 4/12 would be the total and 1/3 would be simplified

Answer:

E. 3×3×3×3

part b:

3×3×3×3

9×9

81