Which frequency table represents the set of data below related to how each student in a class travels to school in the morning

Answer:

x = 9

Step-by-step explanation:

By remote exterior angle theorem:

[tex](12x + 14)\degree = (1 + 5x) \degree+ 76 \degree \\ 12x + 14 = 1 + 5x + 76 \\ 12x - 5x = 77 - 14 \\ 7x = 63 \\x = \frac{63}{7} \\ \huge \red{ \boxed{ x = 9}}[/tex]

Answer:

x=5/2

Step-by-step explanation:

The value of x in the equation is 4.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Here,

The equation given is,

g⁽ˣ⁻¹⁾- 2 = 25

g⁽ˣ⁻¹⁾ = 27

g⁽ˣ⁻¹⁾ = 3³

Therefore,

x - 1 = 3

x = 4

Hence,

The value of x in the equation is 4.

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Answer:

-6

Step-by-step explanation:

-8  - (-2)

A negative negative is a positive

-8+2

-6

Answer:

-6

Step-by-step explanation:

(-8) - (-2)

(-8) + 2 >>because - ( - ) = +

2 - 8

= -6

Hope this helps!

Remember:

- (-) = +

- (+) = -

+ (+) = +

Answer:

B

Step-by-step explanation:

Slope:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2}} =\frac{6-1}{6-3} =\frac{5}{3}[/tex]

This eliminates answer options C and D

If you plug either set of coordinates into equation B then you will know that it works because both sides will end up equal to each other

The line that passes through the given points in the table is represented by the equation y = 3x + 9. You can verify this by plugging the x-values into the equation and arriving at the corresponding y-values or by checking if the points lie on the line in the graph.

To answer your question about which equation represents a line that passes through the two points given in the mentioned table, we can use the concept of linear equations and their graph. The equation of a line in slope-intercept form is given by y=mx+b where 'm' is the slope and 'b' is the y-intercept. From the information given, we can see the value of 'm' as 3 and 'b' as 9.

Therefore, the line that passes through the points provided is represented by the equation y = 3x + 9. To verify this, you can plug in the x-values from the table into this equation and you should be able to arrive at the corresponding y-values given in the table.

In the given figure, these points should lie on the line represented by the equation y = 3x + 9, verifying our solution.

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Answer:

y=3,x=1.3,z=6.2 :)

Step-by-step explanation:

y=3,x=1.3,z=6.2 :)

So, we have:

   : x+y+z=10 [equation 1]

   : 5x+3y=14  [equation 2]

   : x−2y+z=2.5 [equation3]

(I'm going to assume that you know how to solve equations with 2 variables)

1. eliminate a variable to get 2 variables

Let's reverse equation 2:

-x+2y-z= -2.5

and take equation 1, to try to eliminate "z"

x+y+z=10

add up the 2 equations to get:

3y=7.5

and solve to get

y=2.5

2. substitute what we already solved into another equation

Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.

5x+3y=14 --> 3x+3(7.5)=14

solve to get

x=1.3

3. Substitute both of our variables in to get the final variable: z

Let's take the first equation.

x+y+z=10 --> 1.3+2.5+z=10

solve to get

z=6.2

I hope this helps you!

Answer:

84*(1/4)^x

Step-by-step explanation:

84 is the constant as it is the starting amount. However each round (x because the amount of rounds is constantly changing) divides the team by 4 or multiplies by 1/4 (Reciprocal).

So, if you wanted to see if the amount of teams after three rounds you would do:

84 * 1/4 * 1/4 * 1/4. However, any number times itself is an exponent, so we would simplify to 84³. But due to the fact we do not know how many rounds we are going to calculate we change the exponent to x.

Answer:

2/7

then 2/14

Step-by-step explanation:

Let P(H)=p be the probability of one head. In many scenarios, this probability is assumed to be p=12 for an unbiased coin. In this instance, P(H)=3P(T) so that p=3(1−p)⟹4p=3 or p=34.

You are interested in the event that out of three coin tosses, at least 2 of them are Heads, or equivalently, at most one of them is tails. So you are interested in finding the likelihood of zero tails, or one tails.

The probability of zero tails would be the case where you only received heads. Since each coin toss is independent, you can multiply these three tosses together: P(H)P(H)P(H)=p3 or in your case, (34)3=2764.

Now we must consider the case where one of your coin flips is a tails. Since you have three flips, you have three independent opportunities for tails. The likelihood of two heads and one tails is 3(p2)(1−p). The reason for the 3 coefficient is the fact that there are three possible events which include two heads and one tails: HHT,HTH,THH. In your case (where the coin is 3 times more likely to have heads): 3(34)2(14)=2764.

Adding those events together you get p3+3(p2)(1−p)=5464. Note that the 3 coefficient

Answer:

D

Step-by-step explanation:

I just did it on usatestprep so. its D

Answer:

d

Step-by-step explanation:

The value of the exponential function will eventually exceed the value of the linear function. A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

Set 1 mean - 23.625

Set 2 mean - 23.5

Set 1 median - 23.5

Set 2 median - 22.5

This shows the answer is D :)

Answer:

[tex]x = \frac{40}{-30\\}[/tex]

Step-by-step explanation:

Lets start by working with our numbers on the right side of the equation.

Begin by using distributive property, turning:

2x = 8(4x - 5) into 2x = 32x - 40

To make things easier, lets subtract 32x on both sides

-30x = 40

Finally, divide by -30 on both sides to get our answered, simplified if necessary:

[tex]x = \frac{40}{-30} = \frac{4}{-3} = -1.33[/tex]

Answer:

2

Step-by-step explanation:

The slope given two points is found by

m= (y2-y1)/(x2-x1)

   = (2 - -6)/(2 - -2)

   =(2+6)/(2+2)

   =8/4

    2

Answer:

See explanation below.

Step-by-step explanation:

We are looking for the mean and the standard deviation of the sampling distribution of the sample of mean x, given that the mean and standard deviation of sampled population are as follows:

Mean=μ= 77.4

Standard deviation = σ = 4.0

Sample size n = 255

so, the mean of sample mean x will be same as mean of the sampled population:

μₓ = μ = 77.4

and the standard deviation of sample mean x will be standard deviation of the sampled population divided by square root of sample size:

σₓ = σ / √ n

  = 4.0 / √225

= 4.0 / 15

  = 0.3

[tex] \frac{59 + x}{2} = 78 \\ 59 + x = 156 \\ x = 97[/tex]

Answer: VW=97

Answer:

the slope that is perpendicular to line y=-7x-12 is 1/7

1/7 is the perpendicular slope

Step-by-step explanation:

The x-intercepts of the function are (0,0) and (-2,0). Therefore, options A and C are correct.

To determine the x-intercepts of a function, we need to find the values of x when the function value, f(x), is equal to zero. Therefore, we need to plug in 0 for f(x) and solve for x.

From the given points, we can see that the function passes through the points (-2,0), (0,0), and (1,0), (2,0). Therefore, the x-coordinates of these points are the possible x-intercepts of the function.

Setting f(x) to zero for each of the points, we get:

At (-2,0): f(-2) = 0, so x = -2 is an x-intercept.

At (-1,-2): f(-1) = -2, so x = -1 is not an x-intercept.

At (0,0): f(0) = 0, so x = 0 is an x-intercept.

At (1,0): f(1) = 0, so x = 1 is an x-intercept.

At (2,0): f(2) = 0, so x = 2 is an x-intercept.

Therefore, the x-intercepts of the function are (0,0) and (-2,0).

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Answer:

3.7*10⁷ people.

Step-by-step explanation:

Estimated population of California = 3.9*10⁷ people

Estimated population of Maine = 1.3*10⁶ people.

Let x represent the estimated number of people that live in California more than Maine.

The number of people that live in California more than Maine can be found by finding the difference between the population of California to Maine.

No. Of people living in California - no. Of people living in Maine = estimated no of people that live in California more than Maine.

X = 3.9*10⁷ - 1.3*10⁶

X = 3.7*10⁷ people

About 3.7*10⁷ people live more in California than Maine

how many more people live in California than live in Maine is 37.7 × 10⁶ people.

Since 3.9 × 10⁷ people live in California and about 1.3 × 10⁶ people live in Maine. To find how many more people live in California than live in Maine, we take the difference of the two values.

Difference,D = N - n where

So, substituting the values of the variables into the equation, we have

D = N - n

D = 3.9 × 10⁷ - 1.3 × 10⁶

D = 39 × 10⁶ - 1.3 × 10⁶

D = 37.7 × 10⁶ people

So, how many more people live in California than live in Maine is 37.7 × 10⁶ people.

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Answer:

x = 10

Step-by-step explanation:

x² = 4×25

x² = 100

x = √100

x = 10

AB² = BD×BC

Answer:

A rational number is a number that can be express as the ratio of two integers.

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).

Answer:

[tex]10p+3[/tex]

Step-by-step explanation:

To work this out you would add up all of the like terms

1) Add the like terms.

[tex]6p+4p=10p[/tex]

2)Add the 3

[tex]10p+3[/tex]

Answer:

Yes, because 3,074.6 rounded would be closest to 3,000

Step-by-step explanation:

San Jose to Denver is 1,281 miles

Denver to Chicago is 1,004.7 miles

Chicago to new york city is 788.9 miles

When added up the total mileage is 3,074.6 miles

Answer:

Yes

Step-by-step explanation:

San Jose to Denver is 1281 miles

Denver to Chicago is 1002 miles

Chicago to New York is 789 miles

1281+1002+789 =3072

3000 miles is a close estimate

Our estimate is within 100 miles so I would say it is close

Answer:

Step-by-step explanation:

y=25000(0.84)^t

y=25000(0.84)^3

y=$14817.6

Yes, the playgrounds shape is the right angle triangle.

Step-by-step explanation:

The sides of the triangular ground are 480 ft. 140 ft. And 500ft.

We can find if the sides given are the sides of a right triangle by using pythogoras theorem.

Here, the largest side is 500ft.

So,

√[(480x480) +(140x140) ]

= √[(230400) +(19600) ]

= √(250000)

= 500

The pythogoras theorem is proved.

So, the playground is in the shape of triangle.

Step-by-step explanation:

(i) Area of the first cross section

base,b = 8 m, height,h = 10 m

Area of the triangle = [tex]\frac{1}{2}[/tex] bh

area =  [tex]\frac{1}{2}[/tex] (8) (10)

area = 40 m²

(ii) Area of the second cross section

base,b = 12 m, height,h = 10 m

Area of the triangle = [tex]\frac{1}{2}[/tex] bh

area =  [tex]\frac{1}{2}[/tex] (12) (10)

area = 60 m²

Difference in the areas of the cross sections = 60 - 40 = 20 m²

Answer:

56π = 175.929, so no.

Step-by-step explanation:

Surface area formula: 2B+Ph (where B is area of the base, P is perimeter of the base, and h is height.)

2(4π) + 4π(12)

8π +48π

56π = 175.9 ft^2

The are of the given heptagon is 243 u³.

In the given polygon,

Number of sides = 7

Hence this is a heptagon, which has,

Length of edge = 9 unit

Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.

Since we know that,

Area of heptagon = (7 / 4) × edge² × cot(π/7)

Therefore,

Area of heptagon = (7 / 4) × 9² × cot(π/7)

                              = (7/4) x 81 x 2.07

                              ≈ 243 u³

Hence,

The area is approximately 243 u³

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Answer:

x = 1

Step-by-step explanation:

0.5x-0.3=0.2

1. Multiply both sides by 10.

0.5x*10-0.3*10=0.2*10

2. Refine.

5x-3=2

3. Add 3 to both sides.

5x-3+3=2+3

4. Simplify.

5x=5

5. Divide both sides by 5.

5x/5=5/5

6. Simplify.

x=1

Answer:

Step-by-step explanation:

0.5x  - 0.3 = 0.2

add 0.3 to both the sides

0.5x - 0.3 + 0.3 = 0.2 + 0.3

0.5x + 0 = 0.5

0.5x = 0.5

[tex]x=\frac{0.5}{0.5}\\\\x = 1[/tex]

Answer: .123

Step-by-step explanation: use random variable e-s which will follow a normal distribution with a mean of 70-60=10 and SD= sq root of 25+49. P(e-s<0)=.123

The probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire is 0.123

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have the number of thousands of miles that the standard model tires last has a mean:

[tex]\rm \mu_S = 60[/tex]  

And standard deviation:

[tex]\rm \sigma_s = 5[/tex]

The number of miles that the extended life tires last has a mean:

[tex]\rm \mu_E = 70[/tex]

And standard deviation:

[tex]\rm \sigma_E = 7[/tex]

As the mileages for both tires follow a normal distribution curve.

If we use the E-S random variables and these random variables follow the normal distribution.

Now:

[tex]\rm E =\mu_E- \mu_S[/tex]

E = 70 - 60 ⇒ 10   and

[tex]\rm S= \sqrt{\sigma_S ^2+\sigma_E^2}[/tex]

[tex]\rm S= \sqrt{5^2+7^2}[/tex]

S = √74 ⇒ 8.6023

Now from the normal distribution table the value of the probability:

=P(E - S<0)

= 0.123

Thus, the probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire is 0.123

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Answer:

Look at the picture

Step-by-step explanation:

The answer is B. -9