In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer:

its 40

Step-by-step explanation:

180-100=80

80/2= 40

Answer:

25%

Step-by-step explanation:

(original value - new value / original value) x 100

So

4 - 3 = 1

1/4 = 0.25

0.25 x 100 = 25

So there was a 25% decrease in the number of apples bought.

Hope it helps :)

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

Answer:

h^2+2ah

Step-by-step explanation:

When f(x) = 1-x^2

f(a) = 1 - a^2

f(a+h) = 1 - (a+h)^2

= 1 - a^2 + 2ah + h^2

Subtracting the two:

f(a+h) - f(a)

= (1 - a^2 + 2ah + h^2) - (1-a^2)

= 1 - 1 - a^2 + a^2 + 2ah + h^2

= 2ah + h^2

= h^2 + 2ah

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

slope: -15/7

intercept: ( 0, 5/7)

Step-by-step explanation:

Answer:

42 miles

Step-by-step explanation:

180/3=6 6x7=42

Answer:

420 miles in 7 hours

Step-by-step explanation:

You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.

Answer:

The blur of the photo I do not understand sorry

Step-by-step explanation:

ty for the points

Answer:

it would be 15 or 14 that only came up when I did it

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{8}x-\frac{17}{8}[/tex]

Step-by-step explanation:

The slope: m= 3/8

hope this helps.

Answer:

The answer would be 36/7 and that would be 5.14285714286

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=36/7

Answer:

1. B. 12

2. D. 6

3. A. 12

4. C. 64

5. D. 1[tex]\frac{17}{18}[/tex]

6. B. 16

Step-by-step explanation:

The spider's movement is an illustration of a parabola.

(a) The equation

The spider passes through the origin.

So, we have:

[tex]\mathbf{(x,y) = (0,0)}[/tex]

The spider jumps to a maximum height of 20mm, midway 160mm.

So, the vertex is:

[tex]\mathbf{(h,k) = (80,20)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]

[tex]\mathbf{0 = 6400a + 20}[/tex]

Subtract 20 from both sides

[tex]\mathbf{6400a =- 20}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{320}}[/tex]

Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

[tex]\mathbf{Focus = (h,k+p)}[/tex]

Where:

[tex]\mathbf{p = \frac{1}{4a}}[/tex]

So, we have:

[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]

[tex]\mathbf{p = -\frac{320}{4}}[/tex]

[tex]\mathbf{p = -80}[/tex]

So, we have:

[tex]\mathbf{Focus = (80 , 20-80)}[/tex]

[tex]\mathbf{Focus = (80 ,-60)}[/tex]

The axis of symmetry is:

[tex]\mathbf{x = h}[/tex]

So, we have:

[tex]\mathbf{x = 80}[/tex]

The directrix is:

[tex]\mathbf{y = k - p}\\[/tex]

So, we have:

[tex]\mathbf{y = 20+80}[/tex]

[tex]\mathbf{y = 100}[/tex]

Read more about parabolas at:

https://brainly.com/question/5430838

3.2128 is a rational number because you can not make it into a fraction/ratio

Answer:

1:102

2:78

3:102

4:78

5:102

6:78

7:102

8:78

Answer:

y = 3x + 5

Step-by-step explanation:

y = total cost

x =  basket of apples

5 = admission fee

y =  cost per basket  + admission fee  

y =  3x + 5

Step-by-step explanation:

to divide by a fraction is the same as to multiply by the upside-down fraction.

in your example

4 / 2/5 = 4 × 5/2 = 20/2 = 10

by the way, also a whole number is a fraction.

4 = 4/1

so, fully formal, the whole operation above looks like

(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10

Answer:

No

Step-by-step explanation:

7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side

Answer:

No

Step-by-step explanation:

two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.

a-b < c < a+b.

7-3 < 10 < 7+3

4 < 10 < 10

False,

Answer:

Step-by-step explanation:

sum of angles of a triangle=180°

9x-2+3x-19+3x+6=180

15x-15=180

15x=180+15=195

x=195/15=13

m∠G=9x-2=9×13-2=117-2=115°

Answer:

30* or A

Step-by-step explanation:

If the triangles are congruent, corresponding angles and sides are equal.

So angle c is 60* because it is opposite of side x.

angle b is 180-90-60 because all angles add up to 180 in a triangle.

Answer:

The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.

Step-by-step explanation:

16 - 2.5 = 13.5  ( The amount of gas the car has already used )

30 * 13.5 = 405  ( How far the car traveled with 13.5 gallons of gas )

Hope this helps!

Answer:

25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450

Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)

Given the data :

The confidence interval is defined as :

Since, sample size ls less than 30 we use a t-distribution table :

[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]

Using a calculator :

Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]

Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]

Therefore, the confidence interval is (205.20 ; 230.20)

Learn more :https://brainly.com/question/25173276

The confidence interval is simply a range that contains the true mean of the population

The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

The given parameter is:

[tex]\mathbf{n = 10}[/tex]

Start by calculating the degree of freedom

[tex]\mathbf{df = n - 1}[/tex]

[tex]\mathbf{df = 10 - 1}[/tex]

[tex]\mathbf{df = 9}[/tex]

Next, calculate the mean

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]

[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]

[tex]\mathbf{\bar x = 217.7}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]

[tex]\mathbf{\sigma = 17.49}[/tex]

Calculate the standard error

[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]

[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]

[tex]\mathbf{SE = 5.53}[/tex]

At 95%, df = 9. the t-value is:

[tex]\mathbf{t= 2.262}[/tex]

So, the confidence interval is:

[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]

So, we have:

[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]

Split

[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]

[tex]\mathbf{CI = (205,19, 230.20)}[/tex]

Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

Read more about confidence intervals at:

https://brainly.com/question/2396419

Answer:

1 hour

Step-by-step explanation:

am i right

Answer:

17.92

Step-by-step explanation:

Answer:

f= −x+3

     7x

Step-by-step explanation:

fx       =  −1          3

x        7     x+  7

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

x                 x

f= -x+3

       7x

f= -x+3

       7x

Answer:

A.

Step-by-step explanation:

f(x) = (3-x)/7

First we find x in terms of f(x:-.

7f(x) = 3 - x

x + 7f(x) = 3

x =  3 - 7f(x)

Now we replace x by f-1(x) and f(x) by x:

f-1(x) = 3 - 7x.

Using the probability concept, it is found that there is a [tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's  Cup, eat it, and then pull out another Reese's Cup.

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of both events is the multiplication of the probabilities of each event, thus:

[tex]p = \frac{2}{11} \times \frac{1}{10} = \frac{2}{110} = \frac{1}{55}[/tex]

[tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's  Cup, eat it, and then pull out another Reese's Cup.

A similar problem is given at https://brainly.com/question/15536019

Answer: Yes

Step-by-step explanation:

2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.

Answer:

$40,000 + $300x

Step-by-step explanation:

If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.

Answer: $40,000 + $300x

Answer:

1 3/5

Step-by-step explanation:

if you multiply 1/5 x 8, you get the decimal 1.6, and 1.6 as a mixed fraction is 1 3/5

Answer:

A is the answer

Step-by-step explanation:

Let x equal hotdogs and y equal drinks

2 hotdogs plus 2 drinks = 4.75

3 hotdogs plus 1 drink = 7.75