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3 years ago

Need help ASAP please

Mathematics

1 answer:

Shalnov [3]3 years ago

4 0

Answer:

x equals 9

Step-by-step explanation:

90 - 41 =49

49 - 22 = 27

27 ÷ 3 = 9

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In a certain Algebra 2 class of 29 students, 7 of them play basketball and 24 of them play baseball. There are 3 students who pl

antiseptic1488 [7]

Answer:

$\frac{5}{29}$

Step-by-step explanation:

Let $n(A)$ represent students playing basketball, $n(B)$ represent students playing baseball.

Then, $n(A)=7$ , $n(B)=24$

Let $n(S)$ be the total number of students. So, $n(S)=29$ .

Now,

$P(A)=\frac{n(A)}{n(S)}=\frac{7}{29}$

$P(B)=\frac{n(B)}{n(S)}=\frac{24}{29}$

3 students play neither of the sport. So, students playing either of the two sports is given as:

$n(A\cup B)=n(S)-3\\n(A\cup B)=29-3=26$

∴ $P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{26}{29}$

From the probability addition theorem,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Where, $P(A\cap B)$ is the probability that a student chosen randomly from the class plays both basketball and baseball.

Plug in all the values and solve for $P(A\cap B)$ . This gives,

$\frac{26}{29}=\frac{7}{29}+\frac{24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{7+24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{31}{29}+P(A\cap B)\\\\P(A\cap B=\frac{31}{29}-\frac{26}{29}\\\\P(A\cap B=\frac{31-26}{29}=\frac{5}{29}$

Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is $\frac{5}{29}$

6 0

3 years ago

Find the value of x in the isosceles triangle shown below <br><br> Thank you!

iogann1982 [59]

And isosceles triangle always equals 180 degrees so to find the value of x what number would you need for the value to be 180

3 0

3 years ago

Find the inverse of the function. f(x) = 7x + 8

lana66690 [7]

Answer:

$\frac{x-8}{7}$

Step-by-step explanation:

A way to find the inverse function is to swap the x and y (f(x)) in the equation.

$y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}$

We can check that it is an inverse function by using a property of inverse functions:

$f(g(x)) = x$

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

$y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\$

It checks out!

4 0

3 years ago

Reggie drove his race car 4 times around the track for a total of 10 miles. How many kilometers did he drive? (Note that 1 mile

Allushta [10]

Answer:

16.1 km

Step-by-step explanation: 10mi x 1.61=16.1km

3 0

3 years ago

Read 2 more answers

Beatrice calculated the slope between two pairs of points.

kumpel [21]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between (-3, -2) and (1, 0)

$m=\frac{0+2}{1+3}$

$m=\frac{2}{4}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (1,0)

substitute

$y-0=\frac{1}{2}(x-1)$

$y=\frac{1}{2}x-\frac{1}{2}$

step 2

Find the slope between (-2, -1) and (4, 2)

$m=\frac{2+1}{4+2}$

$m=\frac{3}{6}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (4,2)

substitute

$y-2=\frac{1}{2}(x-4)$

$y=\frac{1}{2}x-2+2$

$y=\frac{1}{2}x$

<em>Compare the equation of the two lines</em>

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to $\frac{1}{2}$

8 0

3 years ago

Read 2 more answers