A college basketball player is known to make 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free-throw attempts are independent, what is the probability that the number of free throws he makes exceeds 80

Answer:

3$

Step-by-step explanation:

if the sale is 50% you multiply the 6$ original price by the 50% discount to get 3$

Answer:

28

Step-by-step explanation:

▪︎ ADE and ABC are similar triangles (AAA)

▪︎ DA = DB + BA = 30 + 12 = 42

▪︎ k = DA / BA = 42 / 12 = 3.5

▪︎ DE = BC * k = 8 * 3.5 = 28

Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.

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

In this problem, we have that:

The final amount was of 63, hence:

1.4 x 1.5 x n = 63

n = 63/(1.4 x 1.5)

n = 30.

Annie had 30 sweets originally.

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

#SPJ1

The expression is rewritten in standard form and they are not the same due to the negative.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Both (x−3)(x+3) and (3−x)(3+x) contain a sum and a difference and have only 3 and x in each factor.

Let see the equation formed by the factor;

(x−3)(x+3)

= x^2 + 3x - 3x - 9

= x^2 - 9

(3−x)(3+x)

= 9 + 3x - 3x - x^2

= 9 - x^2

The expression is rewritten in standard form and they are not the same due to the negative.

Learn more about an expression here:

https://brainly.com/question/1249625

#SPJ1

Answer:

Step-by-step explanation:

Answer:

(0,6), (0,4), (0,-10)

Step-by-step explanation:

#x

#y

#z

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]x < - 5[/tex]

Step-by-step explanation:

[tex] - 2x - 6 > x + 9[/tex]

[tex] - 2x - x > 9 + 6[/tex]

[tex] - 3x > 15[/tex]

[tex] \frac{ - 3x}{ - 3} > \frac{15}{ - 3} [/tex]

[tex]x < - 5[/tex]

Answer:

15, 2

Step-by-step explanation:

Number one: 15

Number two: 2

Well 15 is 13 more than two meaning this is correct.

By eliminating numbers, I was able to find a range of possible numbers which eliminated all the others. Then using that range I found out the number.

The first number is 2 and the second number will be 15.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

There are two numbers that add up to 17.

If one number is 13 more than the other.

Then the two numbers will be

Let the first number be x. Then the second number will be x + 13

x + x + 13 = 17

  2x + 13 = 17

         2x = 4

           x = 2

The first number is 2 and the second number will be 15.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

The expression with a single rational exponent as follows

Exponents are often known as powers or indices. In simple terms, power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

1) The expression ⁴√x³ can be expressed as;

[tex]x^{\frac{3}{4} }[/tex]

2)The expression ¹/x⁻¹.

This is expressed as a single rational exponent as x

3) The given expression as a single rational exponent.

The expression is; ¹⁰√(x⁵ · x⁴ · x²)

¹⁰√(x¹¹) = [tex]x^{(11/10)}[/tex]

4) [tex]x^{(1/3)} * x^{(1/3)} * x^{(1/3)}[/tex]

x¹ = x

Learn more about Exponents here:

brainly.com/question/11761858

#SPJ1

Answer:

The expression with a single rational exponent as follows

What is exponents and powers?

Exponents are often known as powers or indices. In simple terms, power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

1) The expression ⁴√x³ can be expressed as;

x^{\frac{3}{4} }x

4

3

2)The expression ¹/x⁻¹.

This is expressed as a single rational exponent as x

3) The given expression as a single rational exponent.

The expression is; ¹⁰√(x⁵ · x⁴ · x²)

¹⁰√(x¹¹) = x^{(11/10)}x

(11/10)

4) x^{(1/3)} * x^{(1/3)} * x^{(1/3)}x

(1/3)

∗x

(1/3)

∗x

(1/3)

x¹ =11

The area of the parallelogram of height 9 in and base 13 in will be 117in².

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

WE have given a parallelogram of height 9 in and base 13 in.

So,

The area of a parallelogram = Base x Height

A = Base x Height

A = 13 × 9

A = 117in²

Hence, the area of the parallelogram will be 117in².

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

Answer:

1. Center: (-4,3) Radius: 4

2. C

3. C (x^2 + (y+4)^2 = 16)

4. 50 miles

Step-by-step explanation:

1. Look up how to read equations of circles

2.Soh Cah Toa

3. equations of circles again

4. Pythagorean Theorem

For 1st row

For 3 Rd row

For last row

Answer:

The only complete ordered pair in the given table is:

5 months → $60 saved

Therefore, to determine the relationship between the variables, divide the amount saved by the number of months:

[tex]\implies \sf \dfrac{Amount\:saved}{Number\:of\:months}=\dfrac{\$60}{5}=\$12[/tex]

So we can assume that $12 is saved each month.

To complete the table:

⇒ 3 × $12 = $36

⇒ $72 ÷ $12 = 6

⇒ 10 × $12 = $120

Completed table:

[tex]\large\begin{array}{| c | c |}\cline{1-2} \sf Times\:(month) & \sf Amount\:Saved\: (\$) \\\cline{1-2} 3 & 36 \\\cline{1-2} 5 & 60 \\\cline{1-2} 6 & 72 \\\cline{1-2} 10 & 120 \\\cline{1-2} \end{array}[/tex]

Step-by-step explanation:

[tex]( {x - 2)}^{2} + 2 = 38 \\ {x }^{2} + 4 - 2 {x}^{2} + 2 = 38 \\ x = 38 - 2 - 4 \\ x = 32[/tex]

The employee that has the larger pay increase is Jane. Her income is larger by £65.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

[tex]\left( \dfrac 49 \right) \div \left( \dfrac{18} 3 \right)\\\\\\=\dfrac 49 \div6\\\\\\=\dfrac 49 \times \dfrac 16\\\\\\=\dfrac{2}{9\times 3}\\\\\\=\dfrac{2}{27}[/tex]

Answer:

113.1 inches

Step-by-step explanation:

The area of a circle can be calculated using the formula [tex]\pi r^{2}[/tex], with r being the radius of the circle.

On this circle, the radius is 12 inches, making the area of the entire circle [tex]\pi 12^{2} =\pi 144[/tex], which is about 452.39.

The shaded area of the circle is 1/4 of the circle, so we use the equation [tex]\frac{452.39}{4}[/tex] to get an area of 113.1 inches.

Hope this helps! :)

Answer:

C

Step-by-step explanation:

M is less than n because it comes before it in the number line

Answer:

[tex]y = - 2 |x - 2| + 4[/tex]

Step-by-step explanation:

as the function moved to the right 2 steps, and up 4 steps

Answer:

(x+3)^2 + (y-12)^2 =root 5

Step-by-step explanation:

Assumming you meant equation of the circle with center ()

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ1

Answer:

Step-by-step explanation:

3

39

39

Step-by-step explanation:

here,

principal (p)=£6000

Rate (R)=. 3.4%

time (t)=3 yrs

now,

total investment is compound amount i.e CA

here,

[tex]CA = p(1 + \frac{r}{100} ) ^{t} [/tex]

=£6000(1+3.4/100)^3

=£6633.044

here he will get his total investment as £6633.044 in compound interest of 3.4%

Answer:

The answer is

[tex]2 \cos(100) + i \sin(100) [/tex]

Step-by-step explanation:

This is a complex number,

[tex]a + bi[/tex]

First, convert this to de movire form.

[tex]r( \cos( \alpha ) + i \sin( \alpha ) [/tex]

where

[tex]r = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

and

[tex] \alpha = \tan {}^{ - 1} ( \frac{b}{a} ) [/tex]

[tex]a = 4[/tex]

[tex]b = - 4 \sqrt{ 3} i[/tex]

[tex]r = \sqrt{ {4}^{2} + ( - 4 \sqrt{3}) {}^{2} } [/tex]

[tex]r = \sqrt{16 + 48} [/tex]

[tex]r = \sqrt{64} = 8[/tex]

and

[tex] \alpha = \tan {}^{ - 1} ( \frac{ - 4 \sqrt{3} }{4} ) [/tex]

[tex] \alpha = \tan {}^{ - 1} ( - \sqrt{3} ) [/tex]

Here, our a is positive and b is negative so our angle in degrees must lie in the fourth quadrant, that angle is 300 degrees.

So

[tex] \alpha = 300[/tex]

So our initially form is

[tex]8( \cos(300) + i \sin(300) )[/tex]

Now, we use the roots of unity formula. To do this, we first take the cube root of the modulus, 8,

[tex] \sqrt[3]{8} = 2[/tex]

Next, since cos and sin have a period of 360 we add 360 to each degree then we divide it by 3.

[tex] \sqrt[3]{8} ( \cos( \frac{300 + 360n}{3} ) + \sin( \frac{300 + 360n}{3} ) [/tex]

[tex]2 \cos(100 + 120n) + i \sin(100 + 120n) [/tex]

Since 100 is in the second quadrant, we let n=0,

[tex]2 \cos(100) + i \sin(100) [/tex]

Step-by-step explanation:

Here in the given figure b and 30° are alternate to each other so it can be name as alternative angle....

b = 30°

Now...

a + 30° = 180° ( being supplementary angle )

a = 180° - 30°

a = 150°

Now the value of c will be 150° being corresponding

angle with a

c = 150°

z = 60° ( being alternative angle )

Now let's find the value of x.....

here ,

60° + 50° + x = 180° ( the sum of interior angle of triangle is 180°

x = 180° - 110°

x = 70°

Now...

y = 70° ( alternative angle )

[tex]....[/tex]

Answer:

-1 feet

Step-by-step explanation:

below means that your answer will be a negative because sea level is at 0 how many feet below 1 so your answer is -1