Question 7 of 10
Which situation involves a conditional probability?
O A. The probability that you make a second free throw given that you
made the first free throw
B. The probability that you are given a book for your birthday
O C. The probability that you make two free throws in basketball
D. The probability that you roll a 6 on a number cube
SUBMIT

Answer:

[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Step-by-step explanation:

Given equation

[tex] \sf {x}^{2} - 9x + 20 [/tex]

Rules for factorisation,

distribute the middle term in such a way that constant of each term when multiplied outputs the last number.

The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.

rewriting equation,

[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]

[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

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Answer:

[tex] \: [/tex]

Step-by-step explanation:

So, here we have to factorise the polynomial :

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]

The two numbers are 4 and 5, so

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]

Finding common factors :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]

Some points to know :

Answer:

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

Answer:

the answer is 10.7

Step-by-step explanation:

[tex]136.96 \div 12.8 [/tex]

that show give you your answer

Answer:

Cylinder: 3.14(20)^2*31

3.14(400)*31

1,256*31

becomes the answer 38,936!

Pyramid: 1/3(33)^2*21

1/3(1,089)*21

363*21

7,623!!!

The measure of the unknown angle in the triangle is 58 degrees.

A triangle has three sides and the sum of the angles of a triangle is 180 degrees.

Triangles can be classified base on there angles and length of the sides.

Therefore,

let the length of the unknown angle = x

x + 65° + 57° = 180°

x + 122 = 180

subtract 122 from both sides

x + 122 - 122 = 180 - 122

x = 58 degrees

leanr more on triangle here: https://brainly.com/question/8691602

Answer:

5 apples

Step-by-step explanation:

[tex]\frac{31}{6}=5.16666667[/tex]

Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.

Answer:

Step-by-step explanation:

Answer:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

hope it helps

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Answer:

the blank is 10 lbs

Step by step:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

Answer 2:

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

Answer: 13

Step-by-step explanation:

      We will use the order of operations to solve.

Given:

20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3

Multiply:

20 ÷ ([tex]\frac{10}{5}[/tex]) + 3

Divide:

(20 * [tex]\frac{5}{10}[/tex]) + 3

[tex]\frac{100}{10}[/tex]

Add:

10 + 3

13

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Volume = πr2h

= π×3.52×5

= 61.25π

= 192.42255003237 centimeters3

and

Volume = 7×5×12 = 420 feet3

so,

192.4+420= 612.4 cm^3

Answer: 32 cups

Step-by-step explanation:

1 quart: 4cups

8 x 4 : 36 cups

Answer:

- Both are quadrilaterals.

- Both have two pairs of side of equal length.

I hope my answer helps you.

Answer: 2 pairs of congruent sides

Hope this helps!

have a nice day!

Answer:

It's 0.03 rounded to the nearest hundredth.

Step-by-step explanation:

The whole answer is 0.0253164557.

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Then, we can infer that line EA = DE since they are both (radii of the circle.)

By using the formula for Pythagoras theorem, we can find line |EA|.

where;

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

Learn more about finding the tangent of a circle here:

https://brainly.com/question/16507124

Answer:

V = 272 π cm^3

Step-by-step explanation:

r = 4 cm

h = 17 cm

V = πr^2h

V = π((4)^2)(17) cm^3 = 272 π cm^3

Answer:

7.75$

Step-by-step explanation:

620/10 = 62

This gives you the amount of hours (8) in the day

62/8 = 7.75

This gives you how much Levi makes each hour :)

Answer:

Step-by-step explanation:

Remark

The easiest way is to find the area of the trianlge and subtract the area of the circle.

Area of the triangle

Area of the triangle = 1/2 b * h

b = 40 km

h = 27 km

The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km

Area of the triangle = 1/2 * 40 * 27

Area of the triangle = 540

Area of the circle

Area of the circle = pi r^2

r = d/2

r = 12/2

r = 6

Area of the circle = pi * 6*6

Area of the circle = 3.14 * 36

area of the circle = 113.04

Area of the shaded region

Area of the shaded region = area of triangle - area of the circle

Area of the triangle = 540

Area of the circle = 113.04

Area of the shaded region = 540 - 113.04

Area of the shaded region = 426.96

Answer:

The Answer is 3 1/2 or C

Step-by-step explanation:

2+1=3

1/6+2/6=3/6

3/6 = 1/2

3 + 1/2 = 3 1/2

Answer:

A.  Interest = $1710

B.  Monthly payment = $467.08

Step-by-step explanation:

Simple interest formula:

[tex]\sf A = P(1+rt)[/tex]

where:

Given:

Substitute given information into the formula:

[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]

Interest = final amount - principal

             = 11210 - 9500

             = $1710

term = 2 years

1 year = 12 months

⇒ term = 2 × 12 = 24 months

Monthly payment = final amount ÷ months in term

                              = 11210 ÷ 24

                              = $467.08

So

[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=95(18)[/tex]

[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]

#B

Total months=24

Monthly payment:-

$79333

[tex]salary:x[/tex]

[tex]12\%x=8500[/tex]

[tex]x=8500\div 12\%[/tex]

[tex]x=70833[/tex]

[tex]70833+8500=\$79333[/tex]

I hope this helps you

:)

Answer:

-25/12

Step-by-step explanation:

Given expression:

    [tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]

Open the parenthesis:

    [tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]

    [tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]

Make common denominators:

    [tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]

    [tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]

Subtract the fractions:

    [tex]\implies \boxed{\dfrac{-25}{12}}[/tex]

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

Answer:

105 cm³

Step-by-step explanation:

Given:

Formula:

[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]

Substitute the given measures in the formula to determine the volume.

[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]

Simplify the expression as needed.

[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]

[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]

Answer:

105 cm³

Step-by-step explanation:

Given:

Height of triangular base: 7 cm

Base of triangular base: 5 cm

Height of triangular prism: 6 cm

Formula:

Substitute the given measures in the formula to determine the volume.

Simplify the expression as needed.

Answer:

The second option, or the one attached.

Step-by-step explanation:

       This line has a negative slope because the line is going "down the stairs" from the top-left to the bottom-right.

Answer:

negative, the arrows pointing directly to it,

one angle= 10°

the remaining 3 angles.

angle sum= 360°

2x10=20

360–20=340 

340/2=170

so, the remaining 3 angles are 10, 170 and 170.

Answer:

10, 170,  170

Step-by-step explanation:

Opposite angles of parallelogram are equal

Consecutive angles in a parallelogram are supplementary (add 180°)

Interior angles in a quadrilateral add up to 360°.

10+10=20   (2 opposite angles of 10 each)

360-20= 340

340/2 = 170 (2 opposite angles of 170)

10+170 = 180 (2 consecitive angles supplementary)

10+10+170+170=360

Answer:

63in^2

Step-by-step explanation:

base=18in

height=7in

Area=b*h*1/2

=18*7*1/2

=63in^2

A quadratic equation is represented by the form ax^2+ bx + c = 0

The values of a, b and c are 1, -3 and -5, respectively

The solution is given as:

[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]

The solution to a quadratic equation is represented as:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:

-b = 3

So, b = -3

Also, we have:

2a = 2

So, a = 1

Also, we have:

b² - 4ac = 29

Substitute values for a and b

(-3)² - 4 * 1 * c = 29

This gives

9 - 4c = 29

Subtract 9 from both sides

-4c = 20

Divide by -4

c = -5

Hence, the values of a, b and c are 1, -3 and -5, respectively

Read more about quadratic equations at:

https://brainly.com/question/8649555

Answer:

I think one is 5 and another is 6 because 5+6=11

Answer:

a=5

a=6

add the exponents and keep the base the same

Answer:

35 hours

Step-by-step explanation: