Find the slope of the line passing through the points (-7, 8) and (2, -8).

The branch of statistical studies called descriptive statistics summarizes important aspects of a data set is true.

It is required to find the statement.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Descriptive statistics refers to the summary of important aspects of a data set.

Therefore, the branch of statistical studies called descriptive statistics summarizes important aspects of a data set is true.

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Answer:

3000

Step-by-step explanation:

If it was 3500 then it would've been 4000. However, since 3458 is below 3500 it's 3000. Hope this helps. Good luck!

$22,150  is the total assets .

What is total assets?

Total asset =  Saving account balance + current value of automobile + video equipment + personal computer + cash in checking account + household possessions + value of stock investment

        = $1990 + $9800 + $2600 + $1700 + $550 + $4400 + $ 1110

       =  $22,150

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There is no way he can write a bi-conditional because there are only 2 g e n d e r s which are m a l e and f e-m a l e and as such he can't use if and only if due to the fact that all non - m a l e dogs are f e m a l e dogs and v i c e v e r s a.

A biconditional statement is a statement combing a conditional statement with its converse. So, one conditional is true if and only if the other is true as well.

Now, he wrote a true conditional which is "If 47% of the dogs

at the shelter are f e m a l e, then 53% of the dogs are m a l e."

Now, there is no way he can write a biconditional because there are only 2 genders which are m a l e and f e m a l e and as such he can't use "if and only if" due to the fact that all non - m a l e dogs are f e m a l e dogs and vice versa.

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Answer:

let the number be x and y

Step-by-step explanation:

x+y=12

x-y=-4

here,

(a) The 2nd letter to be a vowel (a, e, i, o, u) = 69000

(b) Exactly one vowel = 159600

An open sound is represented by a vowel, which is a letter. The English language has six vowels: a, e, I o, u, and occasionally y. Y can function as a consonant or a vowel depending on the context, as in the word story or yes. Vowels are a representation of open, frictionless vocal sounds.

4 letter word to be formed

Total Alphabets = 26

Repeated letters are not allowed

(a) 4 letter word, Consonant - C, vowel - V

Second letter to be a vowel

C or V = 25, V = 5, C or V = 24, C or V = 23

Number of word can form = 25 × 5 × 24 × 23 = 69000

(b) 4 letter word, in this exactly one vowel.

Number of words

V(5) × C(21) × C(20) × C(19)

C(21) × V(5) × C(20) × C(19)

C(21) × C(20) × V(5) × C(19)

C(21) × C(20) × C(19) × V(5)

Total number of words formed = 4 [5×21×20×19] = 159600

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Answer:

3611/5000

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 0

then x =

-2 and +2

f(x) = 5

then x = +3 and -3

Answer:

Step-by-step explanation:

The angles lie on a straight line summing to total 180 degrees.

Form an equation:

m∠1 + m∠2 = 180

2x + x + 72 = 180

and solve:

3x + 72 = 180

3x = 180 - 72

3x = 108

x = 36

Answer:

see below

Step-by-step explanation:

We are here given a straight line which is splitted into two parts by a line , such that it makes two angles.

Also we know that the angle measure of a straight line is 180° . Therefore; here the sum of angles 1 and 2 will be 180° .

So that,

==> angle 1 + angle 2 = 180°

==> 2x + x + 72° = 180°

==> 3x = 180° - 72°

==> 3x = 108°

==> x = 108°/3

==> x = 36° .

The equation which we used to solve the problem is ,

==> Equation = 2x + x + 72° = 180°

For finding the individual angels substitute the value of x into their expressions , as ;

==> angle 1 = 2x = 2(36°) = 72°

==> angle 3 = x + 72° = 36° + 72° = 108° .

And we are done!

Answer:

56.52m is the circumference. The area is 254.34[tex]m^{2}[/tex]

Step-by-step explanation:

The equation for the circumference of a circle is c=2πr with r being the radius. So 2(3.14)(9)=56.52m. The area equation for a circle is A=π[tex]r^{2}[/tex] so it would be (3.14)(9)^2 or (3.14)(81) which equals 254.34[tex]m^{2}[/tex]

Answer: 13x

Step-by-step explanation: Multiply x to 11 and 2

11x+2x=13x

Answer:$472,500

Step-by-step explanation: I did $350,000 multiplied by 4.5% and got 15750 and then multiplied 15750 by 30 and then got $472,500

The Original price of the meal was $12.16.

Discount Percent is defined as the discount given on the product per hundred .

For Example . if there is 10% discount on a price of $100.

The final amount will be $90.

Final amount paid by Fiona = $8.25

percentage discount = 10%

Let the original amount be x.

According to the question ;

x - 10% of x = 8.25

[tex]x-\frac{10}{100} *x=8.25\\ \\ \frac{100x-10x}{100} =8.25\\ \\ \frac{90x}{100} =8.25\\ \\ x=\frac{8.25*100}{90}\\ \\ x=\frac{825}{90} \\ \\ x=9.16[/tex]

Since Fiona also had a discount coupon of  $3.

The original amount will be $9.16+$3=$12.16.

Therefore , The original price of the meal was $12.16.

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Answer:

Step-by-step explanation:

sub equation 1 into 2

2-5x=x²-2x-8

0=x²-2x+5x-8-2

0=x²+3x-10

0=(x-2)(x+5)

x=2 or x=-5

sub x into equation 1

y=2-5(2)                            or        y=2-5(-5)

y=-8                                              y=27

Answer:

Step-by-step explanation:

first we can turn these mixed fractions into normal numbers so

1.42<.336 FALSE

.54>1.357 false

.615>.96 false

1.16>1.83 TRUE

The slope, rise over run, or change in over the change in of a line determines its rate of change. A graph's slope triangle or two points in a table can be used to compute the slope.

How far is it between the two locations?

By calculating the sum of the absolute values of the y-coordinates, you may determine the distance between two places in different quadrants with the same x-coordinates.

What does a line's slope indicate?

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Describe slope using an example?

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The number of mini bottles required is;  68 mini bottles

We are told that a mini bottle of water contains 8 ounces of water.

Now, we are told that you require 4¹/₄ = 4.25gallons of water.

Now from conversions, we know that;

1 gallon = 128 ounces

Thus; 4.25 gallons = 4.25 * 128 = 544 ounces

Since a mini bottle of water contains 8 ounces of water, then we can say that;

Number of mini bottles required is;

544/8 = 68 mini bottles

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Farfalla produces 2,400 kites every year.

The number of factories Farfalla owns around the globe = 3;

The number of kites produced by original factory every year = 600;

The number of kites produced by each of other 2 factories every year = 900;

Then the total kites produced by both other factories will be = 2 × 900 = 1800;

Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;

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The speed from slowest to the fastest is Julio; Elana; Kevin; Lorena.

Given that a table shows the distance traveled by 4 cyclists as shown in attached images.

Speed ​​is defined as . The rate at which an object changes position in any direction. Speed ​​is measured as the ratio between distance and time traveled.

Firstly, we will calculate the speed of Elena.

The given distance is 20(1/2) mi or it can be written as 41/2mi and the time is 2(1/4) hr or 9/4hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(41/2)/(9/4)

Speed=(41/2)×(4/9)

Speed=82/9 mi/hr.

Now, we will calculate its speed of Julio.

The given distance is 12(1/4) mi or it can be written as 49/4mi and the time is 1(1/2) hr or 3/2hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(49/4)/(3/2)

Speed=(49/4)×(2/3)

Speed=49/6 mi/hr.

Further, we will calculate the speed of Kevin.

The given distance is 20(2/3) mi or it can be written as 62/3mi and the time is 1(2/3) hr or 5/3hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(62/3)/(5/3)

Speed=(62/3)×(3/5)

Speed=62/5 mi/hr.

Furthermore, we will calculate the speed of Lorena.

The given distance is 33(1/4) mi or it can be written as 133/4mi and the time is 2(1/3) hr or 7/3hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(133/4)/(7/3)

Speed=(133/4)×(3/7)

Speed=57/4 mi/hr.

Hence, the speeds from slowest to fastest from the given table is Julio; Elana; Kevin; Lorena.

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Answer:

-2 < x < 1

Step-by-step explanation:

Given inequality:

[tex]1 < x+3 < 4[/tex]

[tex]\textsf{If $a < u < b$ \;then\; $a < u$ \;and \;$u < b$}:[/tex]

Case 1

[tex]\implies 1 < x+3[/tex]

[tex]\implies 1-3 < x+3-3[/tex]

[tex]\implies -2 < x[/tex]

[tex]\implies x > -2[/tex]

Case 2

[tex]\implies x+3 < 4[/tex]

[tex]\implies x+3-3 < 4-3[/tex]

[tex]\implies x < 1[/tex]

Combine the intervals:

[tex]-2 < x < 1[/tex]

Answer:

the place value of 7 is =70.000000

Step-by-step explanation:

Answer:4.12

Step-by-step explanation:

Step-by-step explanation:

Fact 1: Alternate angles are equal.

Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,

(5x-11)° = (3x+17)°

5x - 3x = 17 + 11

2x = 28

x = 28 ÷ 2

x = 14

NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.

Fact 2: Opposite angles are equal.

Y° and (3x+17)° are OPPOSITE angles

y = (3x+17)°

y = (3x14) + 17

y= 42 + 17

y = 59°

Hope this helps!

Answer:

2200

Step-by-step explanation:

that is the answer jf

x-2y=8

Step-by-step explanation:

x=8+2y

The gradient is 2

Answer:

gradient = [tex]\frac{1}{2}[/tex] , y- intercept = - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c is the y- intercept )

given

x - 2y = 8 ( subtract x from both sides )

- 2y = - x + 8 ( divide through by - 2 )

y = [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form

with gradient m = [tex]\frac{1}{2}[/tex] and y- intercept c = - 4

The amount Jasmin was paid altogether was $210

From the question, we are to determine how much Jasmin was paid altogether

From the given information,

The Smith family pay her $10 an hour.

and

She babysat for the Smith family for 12 hours

Thus,

The amount she was paid by the Smith family is 12 × $10 = $120

Also,

The Johnson family pay her $15 an hour

and

She babysat for the Johnson family for 6 hours

Thus,

The amount she was paid by the Johnson family is 6 × $15 = $90

Therefore,

The amount she was paid altogether = $120 + $90

The amount she was paid altogether = $210

Hence, the amount Jasmin was paid altogether was $210

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Option A.  [tex]Y = 3(2)^{X}[/tex]

Here, looking at the graph we can see that when x = 0, the value of y will be 3. Thus, (0, 3) is a solution to the given function.

Putting x = 0 in the given options, we see that

A. y = 3(1) = 3 (as anything raised to the power is 1)

B. y = 2(1) = 2

C. y = 4(1) = 4

D. y = 3(1) = 3

Thus, we can eliminate option B and C as (0, 3) does not satisfy these equations.

Now, if we take x = 1, from the graph we can see that the value of y will be 6.

Substituting x = 1 in the remaining two options, we get

A. y = 3(2) = 6

D. y = 3(4) = 12

Thus, D is also eliminated.

Option A, y = 3(2)^x is the correct answer.

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