In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6967 subjects randomly selected from an online group involved with ears. There were 1308 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis.

Answer:

[tex]y = 0.35x + 35[/tex]

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Finding the slope:

We have two points: (110, 73.5) and (760, 301).

The slope is given by the change in y divided by the change in x. So

Change in y: 301 - 73.5 = 227.5

Change in x: 760 - 110 = 650

Slope: [tex]m = \frac{227.5}{650} = 0.35[/tex]

So

[tex]y = 0.35x + b[/tex]

Finding the y-intercept:

(760, 301) means that when [tex]x = 760, y = 301[/tex]. So

[tex]301 = 0.35(760) + b[/tex]

[tex]b = 301 - 0.35(760)[/tex]

[tex]b = 35[/tex]

So

[tex]y = 0.35x + 35[/tex]

Picture cards are Jacks, queens and Kings. There are 4 of each for a total of 12 picture cards.

52-12 = 40 non picture cards.

Probability of being dealt a non picture card would be 40/52

The probability of not being dealt a non picture card would be 1 - 40/52 = 12/52 = 3/13

Answer: 3/13

Answer:

28

Step-by-step explanation:

The median is the middle number when the numbers are listed from smallest to largest

26, 27, 28, 31, 33

The middle number is 28

The median is 28

Answer:

is 84

Step-by-step explanation:

why aronou much and yes so many sorry

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

4[tex]\sqrt{7}[/tex] - 10[tex]\sqrt{7}[/tex] + 7[tex]\sqrt{7}[/tex] ( add the coefficients of the terms )

= (4 - 10 + 7) [tex]\sqrt{7}[/tex]

= 1[tex]\sqrt{7}[/tex]

= [tex]\sqrt{7}[/tex]

Answer:

12

Step-by-step explanation:

12

For 3, 4 and 6 the smallest number which would be perfectly divisible by them is their LCM which is 12.

Have a nice day!

Answer:

12

Step-by-step explanation:

We want to find the least common multiple of 4,6,3

4:

4,8,12,16,20

6:

6,12,18,24

3:

3,6,9,12,15

The first number that appears in all 3 lists is 12

Answer:

Step-by-step explanation:

To make this is as easy as possible: a relation is a function if the coordinates don't share an x value. For example, look at the table in B. There is an x value of -1 used twice. That is not a function. Look at C. There are 2 points located at x = -1 (-1, 1) and (-1, -5) are the coordinates. C is not a function. Look at D, made up of coordinate pairs. There are 2 coordinate pairs that have x values of 3; this is not a function. A is a function.

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Answer:

  x = 5

Step-by-step explanation:

The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = (5/2)/x

  x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1

  x = 5

__

Additional comment

In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...

  y = (5/2)√3

Answer:

0.6121 = 61.21% probability that the sample average amount of time taken on each day is at most 11 min.

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.

Normal distribution with mean value 10 min and standard deviation 3 min.

This means that [tex]\mu = 10, \sigma = 3[/tex]

First day:

5 individuals, so [tex]n = 5, s = \frac{3}{\sqrt{5}}[/tex]

The probability is the p-value of Z when X = 11. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{11 - 10}{\frac{3}{\sqrt{5}}}[/tex]

[tex]Z = 0.745[/tex]

[tex]Z = 0.745[/tex] has a p-value of 0.7719.

Second day:

6 individuals, so [tex]n = 6, s = \frac{3}{\sqrt{6}}[/tex]

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

[tex]Z = \frac{11 - 10}{\frac{3}{\sqrt{6}}}[/tex]

[tex]Z = 0.817[/tex]

[tex]Z = 0.817[/tex] has a p-value of 0.793.

What is the probability that the sample average amount of time taken on each day is at most 11 min?

Each day is independent of other days, so we multiply the probabilities.

0.7719*0.793 = 0.6121

0.6121 = 61.21% probability that the sample average amount of time taken on each day is at most 11 min.

Answer:

7

Step-by-step explanation:

1 hour = 118 guests

826 / 118 = 7 hours

Answer:

I think h is 7

Answer:

x = 9/8

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AB         BC

----  = -----------

AD       ED

x            1

----  = -----------

x+9       9

Using cross products

9*x = 1(x+9)

9x = x+9

Subtract x from each side

9x-x = x+9-x

8x = 9

Divide by 8

8x/8 = 9/8

x = 9/8

Take the triangle as,

→ AB/AD = BC/ED

→ x/x+9 = 1/9

Now by using cross products,

→ 9 × x = 1(x+9)

→ 9x = x+9

Now subtract x from both sides,

→ 9x-x = x+9-x

→ 8x = 9

Then divide by 8 from both sides,

→ 8x/8 = 9/8

→ x = 9/8

So, the value of x is 9/8.

Answer: I believe that you have to do e^3 to find the volume of a cube.

If you had the side, you would do a^3 (a stands for the side length)

Answer:

117.8 in.

Step-by-step explanation:

To find the perimeter, add all the side lengths together. If we do that, we get 117.8 in, which is the answer.

Answer:

Domain: [-5, 4]

Range: [-5, 0] U (2, 4]

Step-by-step explanation:

The domain encompasses whatever the input (in this case, the horizontal values) can be and the range is what the output (in this case, the vertical values) can be.

As shown on the graph, all horizontal values including and between -5 and 4 are used on the graph. It does not matter that they are on two separate lines. Therefore, the domain is [-5, 4]. Note that the closed brackets signify that -5 and 4 are used

The y values used in the bottom line range from -5 to 0, and in the top one they range from 2 to 4 (not including the 2, as shown by the open circle). Therefore, the bottom range is [-5, 0] and the top range is (2, 4]. We can combine these to say the range is [-5, 0] U (2, 4]

Answer:

3

Step-by-step explanation:

3t + 2 = 5t - 4

3t - 5t = -4 - 2

-2t = -6

t = 6/2

t = 3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

3t - 5t = - 4 - 2

-2t = -6

(Cut those two -)

t = 6÷2

t = 3

Answer:

This rotational symmetry has 4 or more order .

OAmalOHopeO

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Answer:

  B.  1

Step-by-step explanation:

The figure has no symmetry, so only maps to itself with 360° of rotation.

The order of rotational symmetry is 1.

Answer:

"48" is the appropriate solution.

Step-by-step explanation:

Given:

Flow rate,

R = 2 people per sec.

Flow time,

T = 24 seconds

By using the Little's Law,

⇒ [tex]I = R\times T[/tex]

The no. of people during rush hour will be:

⇒    [tex]=24\times 2[/tex]

⇒    [tex]=48[/tex]

Answer:

(-2,2) and (-3,-4)

Step-by-step explanation:

by graphing the line and parabola, you should get this graph

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Answer:

  6 units

Step-by-step explanation:

The dilation factor is 2, so the length of A'B' will be 2 times the length of AB.

AB can be seen to be 3 units, so A'B' will be 2×3 = 6 units.

9514 1404 393

Answer:

  y = -9x +49

Step-by-step explanation:

The slope of line b is the same as the slope of line a. That can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -8)/(2 -1) = -9

The y-intercept can be found from the given point using the formula ...

  b = y - mx

  b = 13 -(-9)(4) = 13 +36 = 49

Then the slope-intercept equation of line b is ...

  y = -9x +49

The answer at the end of the day would be 4

Answer:

I set up an equation to show that the number of bracelets multiplied by the cost of each bracelet minus the commission is equal to the total, 6(x – 1.25) = 16.50. I divided each side by 6, then added 1.25 to each side with a result of x = 4. Hyo-Jim sold each bracelet for $4.

Step-by-step explanation:

Answer:

a) Average age of girls is also 151.

b)  [tex]h_{10}=144cm[/tex]

Step-by-step explanation:

From the question we are told that:

Average height of the boys at age [tex]h_9= 137 cm[/tex]

Average height of the boys at age [tex]h_11= 151 cm[/tex]

a)

Since

The average height of all the children was 151 cm.

This implies that The average height of all children is 151

Therefore

Average age of girls is also 151.

b)

Assuming all factors being equal

Height of 10 year old boy

[tex]h_{10}=\frac{h_9+h_11}{2}[/tex]

[tex]h_{10}=\frac{137+151}{2}[/tex]

[tex]h_{10}=144cm[/tex]

Therefore my Guess is

[tex]h_{10}=144cm[/tex]

Answer:

Hello,

I don't know the words used for that binominal exercice.

Step-by-step explanation:

The probability that the waiter will drop exactly four of the next ten is 0.2

Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.

Now it is given that,

Waiter drops hamburgers = 30%

Therefore, Probability of drop, p = 0.3

Now For the next ten,

⇒ number of trials, n = 10

⇒ q = 1 - p = 1 - 0.3

⇒ q = 0.7

Thus, probability that he will drop exactly four of the next ten,

P(x = x) = nCx * p^x * q^(n-x)

For exactly 4, x = 4

⇒ P(x = 4) = ¹⁰C₄ * 0.3^4 * 0.7^(10 - 4)

⇒ P(x = 4) = 210*0.0081*0.1176

⇒ P(x = 4) = 0.2

Thus, the probability that the waiter will drop exactly four of the next ten is 0.2

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Answer:

90

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+x+10 +x+50 = 180

3x+60= 180

3x = 180-60

3x = 120

Divide by 3

3x/3 = 120/3

x = 40

The largest angle is

x+50

40+50 = 90

We have to,

find the measure of the largest angle.

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

Let's start to solve,

→ x+ (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50-10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ [x = 40°]

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Thus, option (D) is the correct answer.

Answer:

[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]

Step-by-step explanation:

From the question we are told that:

Rate [tex]\frac{dh}{dt}=1cm[/tex]

Height [tex]h=12cm[/tex]

Radius [tex]r=4h[/tex]

Generally the equation for Volume of Cone is mathematically given by

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]V=\frac{1}{3}\pi (4h)^2h[/tex]

Differentiating

[tex]\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}[/tex]

[tex]\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1[/tex]

[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]

Answer:

sqrt( 150)

Step-by-step explanation:

it can also be 5sqrt(6)

The solution is,  the area of the triangle. ABC is 10 cm^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

from the given diagram, we get,

we have to find the area of the triangle. ABC

now, we have,

using the Pythagorean theorem, we get,

BD = √AB² - AD²

     =√50 - 45

     =√5

now, we know that,

area of triangle = 1/2 * base * height

                          = 1/2 * √5 * 4√5

                          = 10

Hence, The solution is,  the area of the triangle. ABC is 10 cm^2.

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Answer:

x=4.5 or 9/2

Step-by-step explanation:

[tex]\frac{6}{3}[/tex]=[tex]\frac{9}{x}[/tex]

Then, cross multiply

6×X=6x

9×3=27

6x=27

x=4.5