What is the mean of the data set?
61, 38, 40, 53

Answer:

8x^2 - 10x = 0

Step-by-step explanation:

Standard format of a quadratic equation :

ax^2 + bx + c = 0

Answer:

[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]

Step-by-step explanation:

Parralel lines have the same slope.

The slope will be [tex]\frac{3}{4}[/tex]

Answer:

y= mx +c

Step-by-step explanation:

The point- slope form of an equation is

y= mx +c, where m is the gradient and c is the y-intercept.

You can find the value of m by using the gradient formula.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.

Here's an example.

Point-slope form of an equation passing through (1, 2) and (5, 6).

① Finding gradient, m.

[tex]m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1[/tex]

② Substitute value of m into equation.

y= 1x +c

y= x +c

③ Substitute a pair of coordinates.

when x=1, y=2,

2= 1 +c

c= 2 -1

c= 1

Thus the equation of the line is y= x +1.

You may already know that "y+MX+b" form called the slope-intercept form of the equation of a line. It is the same equation in a different form. The 'b' value called the y intercept is where the line crosses the y- axis

Step-by-step explanation:

Answer:

let cow=x and chickens =y

cows have 4 legs, 4x. chickens have 2 legs, 2y

Answer:

a= 15 cows b= 27 chickens c= none, he is not an animal.

Step-by-step explanation:

cows have four legs

chickens have two

15 cows = 60 legs

27 chickens = 54 legs

60+54 = 114

please make me the brainliest if you find this helpful :)

Answer:

1)  -8(9n-10) - 20

-72n + 80 - 20

-7n + 60

Can't factor

2) 90n+54

18(5n+3)

3) -72n+60

-12(6n-5)

4) -17n - 80

Can't factor

5) -160n

Can't factor

Answer:

B. -72n+60

Step-by-step explanation:

We are given the expression:

-8 (9n-10) -20

We want to simplify the expression. First, distribute the -8.

Multiply each term inside the parentheses by -8.

(-8 * 9n) + (-8*-10) -20

-72n + (-8 * -10) -20

-72n + 80 -20

Next, combine like terms. Currently, we have two constants (terms without variables) that can be combined.

Subtract 20 from 80.

-72n + (80-20)

-72n + 60

The expression: -8(9n-10)-20, simplified is -72n+60. Therefore, the correct answer is B. -72n+60

Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. How far will Fiona jog (in feet)?

Answer:

Fiona will jog 1480 feet  once around the block she lives on.

Step-by-step explanation:

From the information given:

Length of the rectangular  block = 180 yards

Breadth of the rectangular block = 200 feet

The block have a rectangular shape and we are to determine how far will Fiona jog (in feet).

Converting yards to feet

1 yard = 3 feet

∴

180 yards = (180 × 3) feet

= 540 feet

Calculating the perimeter of the rectangle will determine how far Fiona will jog.

Perimeter of a rectangular block = 2 (length + breadth)

Perimeter of a rectangular block = 2(540 + 200) feet

Perimeter of a rectangular block = 2(740) feet

Perimeter of a rectangular block = 1480 feet

∴

Fiona will jog 1480 feet  once around the block she lives on.

Answer:

9.25b=46.25

Step-by-step explanation:

9.25b=46.25/:9.25

b=5

Richard purchased 5 books for $9.25 each

Answer:

8(a+2)

Step-by-step explanation:

can i have the brainliest answer

Answer:

5/24

Step-by-step explanation:

1 hour = 60 minutes

2 hours = 60*2 = 120 minutes

then:

25 minutes / 120 minutes

25/5= 5

120/5 = 24

the simpliest form is:

5/24

The simpliest form of 25 minutes as a fraction of 2 hours is 5/24

A fraction represents a part of a number or any number of equal parts.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

We need to express 25 minutes as a fraction of 2 hours in its simplest form.

Since we know that 1 hour = 60 minutes

2 hours = 60 x 2 = 120 minutes

then:

25 minutes / 120 minutes

25/5= 5

Thus 120/5 = 24

Hence, The simpliest form of 25 minutes as a fraction of 2 hours is 5/24

Learn more about fraction;

https://brainly.com/question/729654

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Answer:

[tex]24x+6[/tex]

Step-by-step explanation:

We know that the perimeter of a rectangle's formula is [tex]2l + 2w = p[/tex], where l is the length and w is the width - p is the perimeter. We know the length and width, so we can substitute into the equation.

[tex](2\cdot(10x-3)) + (2\cdot(2x+6))\\\\(20x-6) + (4x+12)[/tex]

We can now combine like terms to get [tex]24x + 6[/tex].

Hope this helped!

=================================================

Explanation:

Assume the ground is completely flat and level. We have a right triangle with hypotenuse 30, and the horizontal base leg is 18. The vertical leg is unknown, so we'll call it x.

Use the pythagorean theorem to solve for x

a^2+b^2 = c^2

x^2+18^2 = 30^2

x^2 + 324 = 900

x^2 = 900 - 324

x^2 = 576

x = sqrt(576)

x = 24

The height of the tower's floor is 24 feet.

Answer: The correlation between variables must be significant

Step-by-step explanation: In order to make reliable predictions using the equation of a regression model, the correlation Coefficient between the dependent and independent variables must be significant (that is a correlation Coefficient value close to either 1 or - 1). This is because the range of value of the correlation Coefficient is between - 1 to +1 and the closer the correlation Coefficient value is to either of these numbers, depicts the strength of the relationship which exists between them hence, enabling us to make good and accurate predictions which are close to the actual value.

Regression Analysis is a statistical and reliable process for making predictions using the regression model.

The correct option is:

Option B. The correlation between variables must be significant

The regression line can be explained as:

1. The correlation coefficient between the dependent and independent variables must be significant.

2. The correlation coefficient value should be near 1 or -1.

3. Thus, the values closer to - 1 and +1 will depict the strength of the relationship between the coefficient values.

Thus, regression lines help to predict accurate and reliable results that are close to the actual value.

To know more about regression lines, refer to the following link:

https://brainly.com/question/4341286

Answer:

Step-by-step explanation:

x² - 2x - 35

(x - 7)(x + 5)

x - 7 = 0 ;    x + 5 = -5

x = 7, -5

Answer:

$2.20 per gallon.

Step-by-step explanation:

That is 33/15 = $2.20 per gallon.

Answer:

Step-by-step explanation:

Price per gallon = Total price of 15 gallons ÷  15 gallons

                         = 33 ÷ 15

                          = $ 2.20

Answer:

slope = for every +3x there is a gain of +6y. so slope is 2.

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}[/tex]

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

Finding the selling price of three thermos flask

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

[tex] \sf{profit = sp \: - \: cp}[/tex]

⇒[tex] \sf{1200 - 1080}[/tex]

⇒[tex] \sf{120}[/tex]

Profit amount = 120

Finding the profit percentage

[tex] \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}[/tex]

⇒[tex] \sf{ \frac{120}{1080 } \times 100\%} [/tex]

⇒[tex] \sf{11.11\%}[/tex]

Hope I helped!

Best regards!!

Answer:

Average : 10,724.2857 miles

Step-by-step explanation:

To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -

[tex]\frac{10150+10211+10424+10769+10884+11155+11477}{7}[/tex]

Adding the numerator values : [tex]10150+10211+10424+10769+10884+11155+11477=75070[/tex]

[tex]\frac{75070}{7} = 10724.28571\dots[/tex]

Ling traveled an average of about 10,724.2857 miles.

Answer:

Step-by-step explanation:

[tex] \sf{(x - 3)(x + 7)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒[tex] \sf{x(x + 7) - 3(x + 7)}[/tex]

⇒[tex] \sf{ {x}^{2} + 7x - 3x - 21}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} + 4x - 21}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex] \boxed{\boxed{\boxed{\red{{x}^{2} + 4x - 21}}}}[/tex]

Step-by-step explanation:

[tex](x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^{2} + 7x - 3x - 21 \\ {x}^{2} + 4x - 21[/tex]

Answer:

the first one is 84

Step-by-step explanation:

subtract 145-61 then you get 84for the missing angle.

Answer:

1. 84,  2. 7.31

Step-by-step explanation:

1. 145-61=84

2. 16x+4-3x+11=110

13x+15=110

13x=95

x=7.31

Answer :

0.53

Step-by-step explanation:

Given the following :

Probability of female = probability of success on a single trial = 0.51

Number of babies = 80

Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)

The problem can be solved using the binomial probability function :

P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]

In other to save computation time, we can use the binomial probability calculator

Hence ; P(X > 40) = 0.527 = 0.53

Answer:

[tex]\bold{3x+y+20=0}[/tex]

Step-by-step explanation:

Mid point of (-10, 5) and (-5, 0).

Other point (-8, 4).

To find:

Equation of line in standard form that connect the mid point and other point.

Solution:

Mid point formula is given as:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

[tex]x = \dfrac{-10+-5}{2} = -7.5\\y = \dfrac{5+0}{2} = 2.5[/tex]

Now, the two points are: (-7.5, 2.5) and (-8, 4)

Slope intercept form of line is given as:

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

[tex]m=\dfrac{4-2.5}{-8-(-7.5)} = -3[/tex]

So, the equation of line is:

[tex]\Rightarrow y =-3x+c[/tex]

Putting (-8, 4) to find c:

[tex]4=-3\times -8+c\\\Rightarrow c = -20[/tex]

Equation of line:

[tex]\Rightarrow y =-3x-20[/tex]

In standard form:

[tex]\bold{3x+y+20=0}[/tex]

Answer:

the answer is three.

Step-by-step explanation:

first, simplify the exponent, which would be 36, then solve the 3+9, which is 12, then that leaves you with 36/12, and 12 goes into 36 3 times, so three is your answer

Answer:

The answer is 3

Step-by-step explanation:

To evaluate, we must do the order of operations. PEMDAS:

P=Parenthesis

E=Exponents and Radicals

M=Multiply

D=Divide

A=Add

S=Subtract

Because 6^2 ÷ (3 + 9), we must do the parenthesis which is add then simplify the exponent and lastly divide. So the equation will be:

6^2 ÷ (3 + 9)

= 6^2 ÷ 12

= 36 ÷ 12

= 3

I hope this helps! I'm sorry if it's wrong or complicated.

Answer:

-7°F

Step-by-step explanation:

At first, you might think that the answer is -9 because 9 > 7, right? Actually, the "rules" for numbers are switched when you are dealing with negative numbers. Therefore, -7 > -9 so -7°F is the correct answer.

Answer:

5( 7+n)

Step-by-step explanation:

First find the sum

(7+n)

Then multiply by 5

5( 7+n)

Answer:

[tex]\Huge \boxed{5(n+7)}[/tex]

Step-by-step explanation:

The sum of 7 and n is also adding 7 and n.

[tex]7+n[/tex]

The sum is the result from adding. That result is multiplied by 5.

[tex]5 \times (7+n)[/tex]

[tex]5(n+7)[/tex]

Answer:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

5 times 2^3=

5 times 8=

40

Answer: 0.0228 .

Step-by-step explanation:

Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15

Let X denotes the IQ score.

Then, the proportion of people with IQs above 130 is

[tex]P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}][/tex]

[tex]=1-P(Z<2)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.9772\ [\text{By z table}]\\\\=0.0228[/tex]

Hence, the proportion of people with IQs above 130 is 0.0228 .

Answer:

5 ^ (1/12)

Step-by-step explanation:

5 ^ 1/3

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

5 ^ 1/4

When we divide exponents with the same base, we subtract the exponents

5 ^ (1/3 -1/4)

Getting a common denominator

5 ^ ( 4/12 - 3/12)

5 ^ (1/12)

Answer:

[tex]\Huge \boxed{5^{\frac{1}{12}}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf \frac{5^{\frac{1}{3}} }{5^{\frac{1}{4}} }[/tex]

When dividing same bases, we subtract the exponents.

[tex]\displaystyle \sf 5^{\frac{1}{3}- \frac{1}{4} }[/tex]

Making exponents have the same denominator.

[tex]\displaystyle \sf 5^{\frac{4}{12}- \frac{3}{12} }[/tex]

Subtracting exponents.

[tex]\displaystyle \sf 5^{\frac{1}{12}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Answer:

$8.40

Step-by-step explanation:

Price in England = 1.4 pounds per Litre

Current exchange rate : 1 pound = 1.65 dollars

1 Litre = 0.26 gallons

If 1 Litre = 0.26 gallons

1 gallon = (1 / 0.26) litres = 3.8461538 litres

Therefore, cost per gallon in England = (1.4 × 3.8461538)

= 5.3846153 pounds

Then ;

If 1 pound = 1.56 dollars

Then cost per gallon in dollars equals

5.3846153 * 1.56 = 8.399999868 dollars

$8.40