Suppose an NBA basketball player shooting an uncontested 2-point shot will make the basket with probability 0.6. How- ever, if you foul t he shooter, t he shot 'vill be missed, but t'vo free thro,vs will be a'varded. Each free thro'v is an independent Bernoulli trial 'vith success probability p. Based on the expected number of points the shooter 'vill score, for what values of p may it be desirable to foul the shooter?

Answer:

16

5

O

I think

Step-by-step explanation:

Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

Answer: Its asking for the combination for the shapes like WXYX (example) ( I think)  just search it up because I cant help much



Step-by-step explanation: j

Answer:

Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles

Answer: 405.3 miles

Answer:

(-6,-3)

Step-by-step explanation:

solve using substitution or elimination

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

[tex] \large{\underline{\textsf{\textbf{\purple{ Given : }}}}} [/tex]

• Length = 9 [tex] \sf \dfrac{1}{2} [/tex] yd = [tex] \sf \dfrac{19}{2} [/tex] yd

• Breadth = 6 yd

• Height = 4 [tex] \sf \dfrac{2}{3} [/tex] yd = [tex] \sf \dfrac{14}{3} [/tex] yd

[tex] \large{\underline{\textsf{\textbf{\purple{ To \: calculate : }}}}} [/tex]

• Volume

[tex] \large{\underline{\textsf{\textbf{\purple{ Calculation : }}}}} [/tex]

As we know that,

[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]

So,

→ Volume = [tex] \sf \dfrac{19}{2} [/tex] yd × 6 yd × [tex] \sf \dfrac{14}{3} [/tex] yd

→ Volume = ( [tex] \sf \dfrac{19}{2} [/tex] × 2 × 14 ) [tex] \sf yd^3 [/tex]

→ Volume = 19 × 14 [tex] \sf yd^3 [/tex]

So, option (i) is correct.

Answer:

46

Step-by-step explanation:

We are given that a  class's test scores are normally distributed with an average score of 60.

We know that the curve of a normal distribution is symmetric about its mean.

60-14=46

60+14=74

Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.

Answer: Look at the picture below

Step-by-step explanation: I got this right on Edmentum

Answer:

(x,y)=(-1.-2)

Step-by-step explanation:

Using the elimination method:

-27x+45y=-63

-35x-45y=125

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

-62x=62-->x=-1

-3*(-1)+5*6=-7-->y=-2

Answer:

115 degrees

Step-by-step explanation:

Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since

<4 = 115 degrees, <5 is also equal to 115 degrees

Answer:

A. 55°

hope it can help you

Answer:

by 1 unit

Step-by-step explanation:

School to the grocery store is 14units

Library to grocery store is 13 units

14-13=1

Answer:

y=4/3x-1/3

Step-by-step explanation:

Answer:

at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Step-by-step explanation:

Given the data in the question;

sample size n = 8

mean x' = 3.0

standard deviation σ = 0.23

To calculate the confidence interval, we use the following expression;

x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation

now, at 99% confidence interval;

∝ = 1 - 99% = 1 - 0.99 = 0.01

degree of freedom df = n - 1 = 8 - 1 = 7

hence t-critical value = 3.499

in equation 1, we substitute in our values;

⇒ 3.0 ± 3.499( 0.23/√8  )

⇒ 3.0 ± 0.2845

⇒ 3.0 - 0.2845, 3.0 + 0.2845

⇒ ( 2.7155, 3.2845 )

Therefore at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Answer:

Scale Factor:1/3

A(-6,0)->A'(-2,0)

B(-3,-3)->B'(-1,-1)

C(-9,-6)->C'(-3,-2)

This scale factor is reduced

Scale Factor:2

A(-6,0)->A'(-12,0)

B(-3,-3)->B'(-6,-6)

C(-9,-6)->C'(-18,-12)

This scale factor is enlarged

Answer:

1/12

Step-by-step explanation:

That's the same as

4/3 * 1/16

3 x 16 = 48

4/48

simplify

1/12

Answer:

4/3  divided by 16 is 0.0833333333333

Step-by-step explanation:

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

[tex]2x - y = -1[/tex]

[tex]y =5x - 5[/tex]

Required

Verify that: [tex](x,y) = (2,5)[/tex] is a solution

We have:

[tex]2x - y = -1[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]2 * 2 - 5 = -1[/tex]

Evaluate all products

[tex]4 - 5 = -1[/tex]

Subtract:

[tex]-1 = -1[/tex]

Because both sides of the equation are equal, then the point is a solution

Also: [tex]y =5x - 5[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]5 = 5 * 2 - 5[/tex]

Evaluate all products

[tex]5 = 10 - 5[/tex]

Subtract:

[tex]5 = 5[/tex]

Because both sides of the equation are equal, then the point is a solution

Because the given point is a solution to both equations, then they are simultaneous equation

9514 1404 393

Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

__

8) n(x) = -2x -21

  -6 = -2x -21 . . . . . n(x) is replaced by its equal: -6

  3 = x +10.5 . . . . . . divide both sides by -2

  -7.5 = x . . . . . . . . . subtract 10.5 from both sides

_____

Additional comment

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

Answer:

yo bro idek bro, gimme brainliest

Step-by-step explanation:

Answer:

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

hope this answer helps you.....

This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

mean x' = 48,800

standard deviation σ = 16,800

at 95% confidence level;

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

z critical value, [tex]Z_{\alpha/2[/tex] = 1.96

now, confidence interval for population mean is given by the formula

x' ±  [tex]Z_{\alpha/2[/tex]( σ/√n )

so we substitute

⇒ 48800 ±  1.96( 16800/√36 )

⇒ 48800 ±  1.96( 2800 )

⇒ 48800 ±  5488

⇒ 48800 -  5488, 48800 +  5488

⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

Answer:

Equation form: x=3, y=-2

Point Form: (3,-2)

Step-by-step explanation:

Answer:

Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.

Answer:

Mice crispys

Step-by-step explanation:

Answer:

7x=28

x = 4

x/9=3

x = 27

5x=125

x = 25

14=x÷2

x = 28

8x=40

x = 5

the answer to the equation is x=15

Answer:

u = 5

Step-by-step explanation:

[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

[tex]u + 7 = \frac{60}{5}[/tex]

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]

[tex]\frac{12}{15} = \frac{4}{5}[/tex]

[tex]0.8 = 0.8[/tex]

Your answer is correct.

Hope this helps!

Answer:

5 is your answer for u.

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]

Answer:

b

Step-by-step explanation:

:)