Karissa is a college basketball player who makes 85% of her free throws. If Karissa takes 94 free throws in the upcoming season, what is the mean of the number of free throws made

The solution of n is [tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

The inequality is given as:

−np − 3 ≥ 7(c − 4)

Add 3 to both sides

−np  ≥ 7(c − 4) + 3

Divide through by -p;

This changes the inequality sign.

So, we have:

[tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

Hence, the solution of n is [tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

Read more about inequality at:

https://brainly.com/question/25275758

#SPJ1

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as [tex]$y=-\frac{1}{3} x-\frac{26}{3}$[/tex].

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

Substitute [tex]$6 \& 8$[/tex] for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex] respectively, and 4&-2 for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows, [tex]$m=\frac{6-8}{4-(-2)}$[/tex]

[tex]$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$[/tex]

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

[tex]$y-y_{1}=m\left(x-x_{1}\right)$[/tex]

Substitute [tex]$-\frac{1}{3}$[/tex] for m,-2 for [tex]$x_{1}$[/tex], and 8 for [tex]$y_{1}$[/tex] in the above equation and simplify using the distributive property as follows, [tex]y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex]

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation [tex]$y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex], and simplify as follows, [tex]$y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$[/tex]

[tex]$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$[/tex]

This is the required linear equation.

Answer:

A.) Two

Step-by-step explanation:

You can determine the amount of solutions the functions have by counting the number of intersections they have. Since the functions cross each other at two different points, there are two solutions.

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point E divides FG in the ratio 3:4, hence:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

[tex]x - 3.75 = \frac{3}{7}(2 - 3.75)[/tex]

x - 3.75 = -0.75.

x = 3.

For the y-coordinate:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

[tex]y - 9 = \frac{3}{7}(-12 - 9)[/tex]

y - 9 = -9

y = 0.

The coordinates of point E are (3,0).

Point H divides FE in the ratio 2:3, hence:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

[tex]x - 3.75 = \frac{2}{5}(3 - 3.75)[/tex]

x - 3.75 = -0.3.

x = 3.45.

For the y-coordinate, we have that:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

[tex]y - 9 = \frac{2}{5}(0 - 9)[/tex]

y - 9 = -3.6

y = 5.4.

The coordinates of point H are (3.45,5.4).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

The coordinates of point E are (3,0).

The coordinates of point H are (3.45, 5.4).

Step-by-step explanation:

I just got it right on the test

Answer:

h = 5t

Step-by-step explanation:

So basically, its a slope problem again. You are trying to find the equation that equals hits. So you can cross off t = 5h and t = h + 5. So now, you need to find the most reasonable answer by calculating the slope.

If you try h = t + 5,

Put in 3 - you get 8

Put in 7 - you get 12

But on the table you get 15, 36 respectively.

If you try h = 5t,

Put in 3 - you get 15

Put in 7 - you get 35

Which is much closer to the numbers in the table, therefore it is the answer.

Answer:

I don't see any option to choose from.

Step-by-step explanation:

See attached graph.

f(x) = 4( 1 /2)x can be rewritten as y = 2x.  This is a straight line with slope 2 and a y-intercept of 0.

The expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 12r - 5

A) 6(2r+(-1))+1

= 12r + 6(-1) + 1

= 12r -5

B) -4(2+(-3r))+3

= -8 -4(-3r) + 3

= -5 + 12r

or

= 12r - 5

Thus, the expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Answer:

Step-by-step explanation:

16-2t=t+9+4t  

7=7t  
t=1

Step-by-step explanation:

how did you get y, when you don't know how to get x ?

the easiest way to solve this is to base on the fact that the opposite angles must be identical.

so,

2x + 32 = 4x - 12

32 = 2x - 12

44 = 2x

x = 22

and the to be sure

-8y - 14 = -5y + 4

-3y = 18

y = -18/3 = -6

or, the sum of 2 consecutive angles must be 180°.

2x + 32 - 5y + 4 = 180

2x - 5y + 36 = 180

2x - 5y = 144

-8y - 14 + 4x - 12 = 180

-8y + 4x = 206

-4y + 2x = 103

-5y + 2x = 144

- -4y + 2x = 103

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

- y 0 = 41

y = -41

-4×-41 + 2x = 103

164 + 2x = 103

2x = -61

x = -30.5

ha, your teacher either set a trap or made a mistake.

these given angles do not belong to a parallelogram.

there is no solution for x and y with these angle expressions to create a parallelogram.

every condition that has to be true creates a different and inconsistent set of solutions (and implausible ones at that creating single angles larger than 200° and even 300°, or smaller than 0°).

Answer:

O(x-1)2(x + 1)

Step-by-step explanation:

Answer:

√85

Step-by-step explanation:

a² + b² = c²

6² + b² = 11²

36 + b² = 121

b² = 121 - 36

b² = 85

b = √85

Answer:

Hello! The answer is [tex]b = \sqrt{85}[/tex].

Step-by-step explanation:

To solve this question, we have to use the Pythagorean theorem. We are given one of the legs and the hypotenuse. (The hypotenuse is opposite the right angle).

a^2 and b^2 represent our legs while c^2 represents the hypotenuse.

We have to substitute our values in for a^2 and c^2:

6^2 + b^2 = 11^2

This leaves us with 36 + b^2 = 121

To get b^2 by itself, we have to subtract 36 from both sides:

36 + b^2 = 121

-36             -36

This leaves us with b^2 = 85

To get just b, we have to take the square root:

√b^2 = √85

This leaves us with [tex]b = \sqrt{85}[/tex].

You must go 45 miles per hour to reach the longest distance.

The given parameters are:

When the speed increases by 1 mile per hour, the time reduces by 10 minutes.

This means that:

When

Speed = (60 + x) miles per hour

The time is:

Time = 5 hours - 10 minutes * x

Convert minutes to hour

Time = 5 hours - 1/6 * x hour

This gives

Time = 5 - x/6 hour

Hence, the car can run for (5 - x/6) hours

We have:

The distance is calculated using

Distance = Speed * Time

This gives

Distance = (60 + x)(5 - x/6)

Expand

Distance = 300 - 10x + 5x - x^2/6

Evaluate the like terms

Distance = 300 - 5x - x^2/6

Hence, the distance for 1 tank of gas is 300 - 5x - x^2/6 miles

We have:

D = 300 - 5x - x^2/6

Differentiate

D' = -5 - x/3

Set to 0

-x/3 = 5

Solve for x

x = -15

Substitute x = -15 in D = 300 - 5x - x^2/6

D = 300 - 5(-15) - (-15)^2/6

Evaluate

D = 337.5

Hence, the longest distance is 337.5 miles

We have:

x = -15

Substitute x = -15 in Time = (5 - x/6) hours

Time = (5 + 15/6) hours

Evaluate

Time = 7.5 hours

The speed is calculated as:

Speed = Distance/Time

This gives

Speed = 337.5/7.5

Evaluate

Speed = 45

Hence, you must go 45 miles per hour to reach the longest distance.

Read more about speed and distance at:

https://brainly.com/question/4931057

#SPJ1

Answer:

  B.  y > 3x -7

Step-by-step explanation:

We can choose the correct inequality based on the y-intercept and the shading.

The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.

The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...

  y > ( ) . . . . eliminates choice A

and

  x < ( )  or  ( ) > x . . . . eliminates choice C, confirms choice B

The inequality that matches the graph is y > 3x -7.

__

Additional comment

For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a positive coefficient. If the coefficient is negative, you can do either of ...

That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.

Answer:Tangent ratio of an angle

Step-by-step explanation:

Tangent ratio of an angle  the ratio of the length of the opposite side of an angle divided by the length of the adjacent side.

The rule is n/(-2)

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

Given:

64, -32,16,-8

r= 64/-32

r= -2

again, r= -32/16

r= -2

By above we concluded that the common ratio is is -2.

If n is natural numbers for finding geometric progression the rule which defines it n/(-2).

Learn more about GP here:

https://brainly.com/question/22068615

#SPJ1

The margin of error is ±0.1706

The margin of error is a statistical solution for the amount of random sampling error in the survey results.

The 95% confidence interval means from 100 different samples computing a 95% of confidence for each sample. From this, we get the approximate value 95 of the 100 confidence intervals will contain the true mean value.

We have a sample size of n=33

The critical value of the significance level is [tex]\alpha =0.05\\z_{\frac{\alpha }{2} }=1.96[/tex]

Then our sample mean will be 2.5

then the standard deviation is 0.5

from this, we can assume that this is a normal distribution.

then our margin of error will be

[tex]E=[/tex]±[tex]z_{\frac{\alpha }{2} }\frac{deviation}{\sqrt{n} }[/tex]

⇒[tex]E=[/tex]±[tex](1.96)\frac{0.5}{\sqrt{33} }\\[/tex]

≅±0.1706 is the margin of error.

Learn more about the margin of error here:

https://brainly.com/question/14396648

#SPJ4

The statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.

A cause-and-effect relationship occurs when:

Thus, the statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.

Learn more about cause-and-effect relationships at https://brainly.com/question/27827052

#SPJ1

The correlation is a strong negative correlation, because as the weights increases the city MPG decreases

To do this, we plot the weights on the x-axis, and the city MPG on the y-axis

See attachment for graph

The correlation is a strong negative correlation, because as the weights increases the city MPG decreases

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

The line of best fit equation is

y = bx + a

Where

b = SP/SSX = -857.75/862.94 = -0.99399

a = MY - bMX = 24.25 - (-0.99*28.94) = 53.01354

So, we have:

y = -0.99399x + 53.01354

Approximate

y = -0.99x + 53

Hence, the equation of the line of best fit is y = -0.99x + 53

This means that y = 30

So, we have:

-0.99x + 53 = 30

Subtract 53 from both sides

-0.99x = -23

Divide by -0.99

x = 23.23

Approximate

x =23

Hence, the predicted weight is 23 pounds

This means that x = 1500

So, we have:

y = -0.99 * 1500 + 53

Evaluate

y = -1432

Hence, the city MPG for 1500 pounds is -1432

Read more about linear regression at:

https://brainly.com/question/25987747

#SPJ1

Answer:

Y≈4.6

Step-by-step explanation:

Because the hypotenuse is 9rad2 and the angle opposite of it is a 90. You can deduce it is a 90-45-45. From this you can tell the legs are 9. You then do 9 tan 26 to get about 4.4, and after this you subtract it from 9.

Answer:A rational number can be written as a fraction of two integers. √23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction. 104.42 is rational because it can be expressed as 10442/100 . We can express it as this because.

Step-by-step explanation:

Answer:

6 sides

Step-by-step explanation:

the interior angle + the exterior angle = 180°

let x be the exterior angle then 2x is the interior angle and

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

the exterior angle = 60°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular the the exterior angles are congruent, then

number of sides = 360° ÷ 60° = 6

Answer:

9

Step-by-step explanation:

a,a+1,a+2,a+3,...

6(a+(a+2))=12+9(a+3)

6(2a+2)=12+9a+27

12a+12=12+9a+27

12a-9a=27

3a=27

a=9

2104.50 ÷ 122 = 17.25

...

Answer: 20 of banknotes, denomination of Rs. 10 and 15 of banknotes, denomination of Rs. 20.

Step-by-step explanation:

Let the number of banknotes, denomination of Rs. 10 will be equal to x,

and the number of banknotes, denomination of Rs. 20 will be equal to y.

Hence;   [tex]\left \{ {{x+y=35\ \ \ \ } \atop {10*x+20*y=500\ |:10 \ \ }} \right. \ \ \ \ \left \{ {{x+y=35\ \ (1)} \atop {x+2y=50\ \ (2)}} \right. \\[/tex]

From (2) subtract (1):

[tex]y=15\ \ \ \ \ \Rightarrow\\x+15=35\\x=20.[/tex]

Answer: the answer is 28

Step-by-step explanation:

Answer:

I don't understand the formatting of the possible answers.  Below is a solution.

Step-by-step explanation:

906,060 is the same as 9.0606 x 10^5

The given number is equal to [tex]-9.0606 * 10^5[/tex]

Scientific notation is a way to write numbers in an abbreviated way, making it easier to work with these numbers.

The primary reason for converting numbers into scientific notation is to make calculations with unusually large or small numbers less cumbersome. Because zeros are no longer used to set the decimal point, all of the digits in a number in scientific notation are significant.

A widely used floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10

Converting –906,060 into scientific notation, we get

-906060/100000

= - 9.06060*10^5

Thus, The given number is equal to -9.06060*10^5

To know more, visit:

https://brainly.com/question/13194506

#SPJ4

Answer:

=> 3a

Step-by-step explanation:

=> 4a - 2a + a

=> 2a + a

=> 3a

Answer:

[tex]\boxed{\bf 3a}[/tex]

Step-by-step explanation:

[tex]\bf 4a - 2a + a[/tex]

Combine 4a and -2a = 2a.

Combine 2a and a = 3a

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

Answer:

Simplify 2x^2-5x-3/x^2-9

The answer is 2x+1 / x+3

Step-by-step explanation:

Simplify the expression.

Answer:

1/8 of the pizza

Step-by-step explanation:

whole pizza=1

5/8 is gone so 1-5/8=8/8-5/8=3/8

3/8-1/4 = 3/8-2/8=1/8

hope this helps