How do I create a histogram for the data?

Answer:

Step-by-step explanation:

[tex]7^{0}=1[/tex]

[tex](7^{13})^{3}*7^{0}=7^{13*3}*1\\\\=7^{39}[/tex]

Answer: 12 mph

Step-by-step explanation:

20 minutes = 1/3 hour

Distance = speed x time

D = 27 x 1/3 = 09 miles

He had taken 45 minutes when he drove home

45 minutes = 3/4 hour

Speed = distance / time

Speed = 9 / 3/4

Speed = 12 mph

The average speed of Nick's journey back home is 12 mph.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

The first average speed at what Nick travels is 27 mph.

One day it took Nick 20 mins to drive to work.

Here, Distance = Speed × Time

= 27 × 20/60

= 27 × 1/3

= 9 miles

Nick had drove home using the same route, it had took Nick 45 minutes.

Here, speed = Distance/Time

= 9÷45/60

= 9×4/3

= 12 mph

Therefore, the average speed of Nick's journey back home is 12 mph.

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Answer:

Her initial money she started with us $800.00

Step-by-step explanation:

Let the initial money Ann began with be x.

So she spent 1/3 of x on transport,

2/5 of x on food

1/6 of x on clothing

And the remaining is $80.00.

Let's find the value of x

X(1/3) +x(2/5) + x(1/6) +80 = x

X(1/3) +x(2/5) + x(1/6) -x = -80

Taken 30 as the lowest common multiple of the factors gives

(10x + 12x + 5x -30x)/30 = -80

(10x + 12x + 5x -30x)= -2400

-3x = -2400

X = -2400/-3

X= 800

Answer:

(CX3)+10

Step-by-step explanation:

Answer:

c×3+10= j

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is an odd degree polynomial (the highest degee is an odd number) so both ends will be in different directions, one will be up the other will be down. So rule out any option that has p(x) pointing in the same direction (A & C)

Now we are between B & D. Look at the leading coefficient 6 which is positive so we know that the left end goes down and the right end goes up. If the lc was negative the opposite would be true. So

D is the right answer

Answer: [tex]2\sqrt{1+tant}+C[/tex]

Step-by-step explanation:

To integrate means to find the antiderivative of the function. For this problem, we can use u-substitution.

[tex]\int\limits {\frac{dt}{cos^2t\sqrt{1+tant} } } \[/tex]

Let's first use our identities to rewrite the function. Since [tex]\frac{1}{cosx} =secx[/tex], we can use this identity.

[tex]\int\limits {\frac{sec^2t}{\sqrt{1+tant} } } \,[/tex]

[tex]u=\sqrt{1+tant}[/tex]

[tex]du=\frac{sec^2t}{2\sqrt{1+tant} } dt[/tex]

Now that we have u and du, we can plug them back in.

[tex]\int\limits {2} \, du[/tex]

[tex]\int\limits{2} \, du=2u[/tex]

Since we know u, we can plug that in.

[tex]2\sqrt{1+tant}[/tex]

This may seem like the correct answer, but we forgot to add the constant.

[tex]2\sqrt{1+tant}+C[/tex]

Answer:

white

Step-by-step explanation:

plato

The solution is Option D.

The missing color from the tree diagram is given by the equation A = white

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the missing color from the tree diagram be represented as A

Now , the value of A is

Jenson has 3 clean T-shirts of white , red and orange

Jenson has 2 clean pairs of jeans of blue and gray

Now , substituting the values in the equation , we get

For every blue jeans = { white , red , orange }

For every gray jeans = { A , red , orange }

From the equation , we get

The value of A = white

Therefore, the value of A is white

Hence , the missing color is white

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Answer:

We conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Step-by-step explanation:

We are given that a simple random sample of 40 current hit songs results in a mean length of 252.5 seconds.

Assume that the standard deviation of song lengths is 54.5 sec.

Let [tex]\mu[/tex] = population mean length of the songs

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 210 seconds      {means that the sample is from a population of songs with a mean smaller than or equal to 210 seconds}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 210 seconds      {means that the sample is from a population of songs with a mean greater than 210 seconds}

The test statistics that will be used here is One-sample z-test statistics because we know about population standard deviation;

                              T.S.  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean length of songs = 252.5 seconds

            [tex]\sigma[/tex] = population standard deviation = 54.5 seconds

            n = sample of current hit songs = 40

So, the test statistics =  [tex]\frac{252.5-210}{\frac{54.5}{\sqrt{40} } }[/tex]

                                   =  4.932

The value of z-test statistics is 4.932.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 4.932 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Answer:

0.492

Step-by-step explanation:

According to the given situation,  the calculation of Δy and dy is shown below:-

[tex]y = e^x, x = o, \Delta x = 0.6[/tex]

[tex]dy = f'(x) = e^x[/tex]

[tex]dy = e^x dx[/tex]

[tex]= e^x (0.4)[/tex]

[tex]dy = 0.4e^x[/tex]

[tex]\Delta y = f(0.4) - f(0)[/tex]

[tex]= e^{0.4} - e^0[/tex]

Now we use the scientific calculator or spreadsheet to determine the exponential value

= 1.491824698  - 1

= 0.491824698

or

= 0.492

Therefore for computing the  Δy and dy we simply applied the above formula.

Hence, the answer is 0.4918

Answer:

[tex]\frac{y}{3}[/tex]

Step-by-step explanation:

Well the quotient is the answer if y divided by 3.

So y divided by 3 is y over 3 y/3.

Answer:

The null and alternative hypothesis can be written as:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

[tex]p_1=X_1/n_1=126/200=0.63[/tex]

The sample 2, of size n2=175 has a proportion of p2=0.68.

[tex]p_2=X_2/n_2=119/175=0.68[/tex]

The difference between proportions is (p1-p2)=-0.05.

[tex]p_d=p_1-p_2=0.63-0.68=-0.05[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=P(z<-1.01)=0.1554[/tex]

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

Answer: See bolded below

Step-by-step explanation:

With the given f(x) and g(x) given, we can directly plug them in to solve. The inverse is to replace the y with x and x with y, then solve for y.

A. f(g(-4))=143

g(-4)=3(-4)+1

g(-4)=-12+1

g(-4)=-11

With g(-4), we plug that into f(x) to find f(g(-4)).

f(-11)=(-11)²-2(-11)

f(-11)=121+22

f(-11)=143

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

B. 9x²-1

(3x+1)²-2(3x+1)

(9x²+6x+1)-6x-2

9x²-1

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

C. g⁻¹(x)=(x-1)/3

x=3y+1

x-1=3y

(x-1)/3=y

Answer:

i think it is a

Step-by-step explanation:

Answer:

a) Graph A has a stronger correlation, so it is more likely to provide an accurate prediction.

Step-by-step explanation:

Answer:

-2 < x < 35

Step-by-step explanation:

We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.

The opposite angle of the 14 unit side is 37 °.

The opposite angle of the 13-unit side is (x + 2) °.

Since 13 <14, it would be:

x + 2 <37

we subtract 2 on both sides

x <35

The value of x must be less than 35.

Now, to form a triangle, the angle must be greater than 0.

x + 2> 0

we subtract 2 on both sides

x> -2

The value of x must be greater than - 2.

Therefore the answer would be:

-2 <x <35

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

Answer:

8x = 104

x = 13

Step-by-step explanation:

Since we are trying to distribute it evenly, we divide 104 by 8 to get 13 pieces of candy per child.

The equation is saying 8 kids times x amount of candy per kid is equal to a total amount of 104 pieces of candy.

Answer:

Each kid will get 13 pieces of candy.

Step-by-step explanation:

If Carleen has 104 pieces of candy leftover from Halloween, and she splits the candy with 8 of the kids on her block, each kid gets 13 pieces. I know this because you divide:

104 divided by 8 equals 13

Answer:

x=1/2, x=5

Step-by-step explanation:

2x^2-11x+5=0

Factor them

(x-0.5)(x-5)

x=0.5 or 1/2

x=5

Answer:

x = ln6

Step-by-step explanation:

e^2x - 2e^x - 24 = 0

a = e^x

=> a^2 - 2a - 24 = 0

=> (a + 4)(a - 6) = 0

=> a = -4 => e^x = -4 (invalid because e^x > 0)

=> a = 6 => e^x = 6 => x = ln6

Answer:

We have our answer as approximately 10 %

Step-by-step explanation:

We are simply expected to express the sum of money spent on insurance as a percentage of the total sales in this question.

The first step is to set up a fraction, having the sum spent on insurance as the numerator, and the total sales as the denominator. This is shown below

[tex]\frac{66,170}{713,200}[/tex]

To convert this fraction to a percentage, we will have to multiply it by 100 and reduce it to its lowest term.

Here we have

[tex]\frac{66,170}{713,200} \times 100= 9.28 percent[/tex]

Rounding of to the nearest tenth, we have our answer as approximately 10 %

Answer:

12x/2 or 52/2

Step-by-step explanation:

Ok, perimeter is length+length+width+width. 12x/2 and 52/2 could are probably the answers.

Answer:

one side is [tex]\sqrt{10}[/tex] and other 3[tex]\sqrt{10}[/tex]

in decimal one side = 3.16

other side =  9.48

Step-by-step explanation:

In right angle

if two sides containing right angle is a and b and h is hypotenuse then

by Pythagoras theorem

a^2 + b^2 = h^2

__________________________________

let one side be x

given

One of the triangle’s legs is 3  times the length of the other leg

then other leg = 3x

given h = 10 cm

applying Pythagoras theorem

[tex]a^2 + b^2 = h^2\\x^2 + (3x)^2 = 10^2\\x^2 + 9x^2 = 100\\10x^2 = 100\\x^2 = 100/10 = 10\\x = \sqrt{10}[/tex]

Thus, one side is [tex]\sqrt{10}[/tex] and other 3[tex]\sqrt{10}[/tex]

[tex]\sqrt{10} = 3.16\\[/tex]

thus, in decimal one side = 3.16

other side = 3.16*3 = 9.48

Answer:

657.96

Step-by-step explanation:

use formula A=P(1+r/n)^nt

A=500(1+.04/1)^1*7

A=500(1.04)^7

A=500(1.3159~)

A= 657.96~

Answer:

The area of the sheet is approximately 50.59 m² or 50.6 m²

Step-by-step explanation:

The area of a rectangle is given by the following expression:

[tex]area = width*height[/tex]

Since breadth is the same as the width of the sheet, we can calculate its area as shown below:

[tex]area = 9.96*5.08 = 50.59[/tex]

The area of the sheet is approximately 50.59 m² or 50.6 m²

Answer:

40

Step-by-step explanation:

(34 + 43 + 45 + 35)/4 = 39.25

To the nearest 10th = 40

Answer:

Step-by-step explanation:

From the information given,

p represents the probability of success.

x represents the number of success

n represents the number of samples

Therefore,

1) b(x|n,p): b(3|8, .35)

x = 3

n = 8

p = 0.35

From the binomial probability distribution calculator,

P(x = 3) = 0.28

1) b(x|n,p): b(5|8, .6)

x = 5

n = 8

p = 0.6

From the binomial probability distribution calculator,

P(x = 5) = 0.28

c) n = 7

p = 0.6

P(3 ≤ X ≤ 5)

P(x ≥ 3) = 0.904

P(x ≤ 5) = 0.841

P(3 ≤ X ≤ 5) = 0.904 - 0.841 = 0.063

d) n = 9

p = 0.1

P(1 ≤ X) = p(x ≥ 1)

p(x ≥ 1) = 0.61

Answer:

Step-by-step explanation:

The hypotenuse is given by the Pythagorean theorem:

  h = √(3² +5²) = √34

The trig functions are the ratios of sides:

  Tan = Opposite/Adjacent

  tan(θ) = 5/3

__

  Sin = Opposite/Hypotenuse

  sin(θ) = 5/√34 = (5/34)√34

__

  Sec = Hypotenuse/Adjacent

  sec(θ) = √34/3

Answer:

10

Step-by-step explanation:

for this you need to sub the value of -3 for x

Q(-3)=(-3)^2-(-3)-2

=9+3-2

=10

Answer:

Q= x - X/x - 2/x

Step-by-step explanation:

hope this helps !

Answer:

Option C

Step-by-step explanation:

Our input is function f( x ), but to find the derivative of this function, you must convert this f ( x ) into a " [tex]d / dx[ f( x )] / f'x[/tex] " format. In this case it can be done multiplying the numerator by 7, and squaring the denominator. We would have to separate this into two fractions, as the following -

[tex]\frac{4}{7x-18}-\frac{28x}{\left(7x-18\right)^2}[/tex]

Now all that has to be done is to simplify this expression! The least common multiple of 7x - 18, ( 7x - 18 )^2 is ( 7x - 18 )^2. That, respectively makes it our denominator. Based on the LCM we would receive the following -

[tex]\frac{4\left(7x-18\right)}{\left(7x-18\right)^2}-\frac{28x}{\left(7x-18\right)^2}[/tex]

Now the denominators are equal, so we can combine the two fractions and simplify -

[tex]\frac{4\left(7x-18\right)-28x}{\left(7x-18\right)^2} - ( Simplify ),\\\\-\frac{72}{\left(7x-18\right)^2}[/tex]

Hence, the solution is option c. Hope that helps!

Answer:

Step-by-step explanation:

y + 8 = 0(x - 0)

y + 8 = 0

y = -8

Answer:

It's written as

[tex]89.7 \times {10}^{9} [/tex]

Or

[tex]8.97 \times {10}^{10} [/tex]

Hope this helps you

Answer:

8.97 * 10 ^10

Step-by-step explanation:

We want one nonzero digit to the left of the decimal

8.97

We moved the decimal 10 places to the left

The exponent is positive 10 since we moved 10 places to the left

8.97 * 10 ^10