Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answer.

Answer:

10x+30

Step-by-step explanation:

Distributive property is distributing what is in the parentheses.

To do that on this problem you have multiply each of these numbers by 10!

10 times x is 10x

10 times 3 is 30

Put them back together and you get 10x+30!

I hope this helps, and have a great day! :)

P.S. If you need a better explanation I can help. I just didn't want to make this to long.  :D

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y -k)² = r²

(x+ 3)² + (y + 9)² = 144

(x+ 3)² + (y + 9)² = 12²

h = -3 ; k = -9

Answer:

Hello your question is poorly written below is the complete question

An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean

answer : variance = 2

Step-by-step explanation:

compute the variance of the number of claims filed

x = number of claim filed

For Poisson distribution

mean = variance = Л

∴ Variance = 2

Answer:

y = -3 - x/2

Step-by-step explanation:

x + 2y = -6  

You have to isolate y by minusing x on both sides

2y = -6 - x    

Then you will isolate y by dividing both sides by 2

y = -3 - x/2

Answer:

3.53

Step-by-step explanation:

I checked it using a calculator. :)

The selling price should be $88

Given that,

= $55 + (60% of $55)

= $55 + $33

= $88

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

Answer:

88

Step-by-step explanation:

Answer:

Should be $11.25

Step-by-step explanation:

Since 25% is 1/4 you can just divide 45 by 4.

45/4 = 11.25

Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75

Step-by-step explanation:

Answer:

its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.

Step-by-step explanation:

Answer:

divide the numerator by the denomantor

Step-by-step explanation:

A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)

As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.

Answer:

n=-18

Step-by-step explanation:

subtract 8 from both sides.

then you do -10 subtracted by 8 and thats -18.

Answer:

the answer is 13 units

Step-by-step explanation:

Answer:

Radius: 3.5

Diameter: 7

i might be wrong tho im sorry !!

The answer:

Radius = 3.5cm

Diameter = 7cm

Answer:

b= -15

Step-by-step explanation:

First combine like terms 9-16= -7

Left 3b-7= -52

Next add 7 to both sides

Left 3b= -45

Finally divide

So b= -15

Answer:

3)x=−9  and x=4

4)x=−12  and x=−5

5)x=8  and x=14

6)x=−7  and x=3

7)x=-1 2/3 and x = 1/4

8)x=2/5

Step-by-step explanation:

Hope this helps

Answer:

3

Step-by-step explanation:

30 + 18 = 48

5 + 3 = 8, 6 x 8 = 48

If this was helpful vote brainliest :)

Answer:

[tex]Mean = 68.9[/tex]

[tex]s^2 =18.1[/tex] --- Variance

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]

For 59 - 66

[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]

For 67 - 74

[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]

For 75 - 82

[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]

For 83 - 90

[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]

So, the table becomes:

[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]

The mean is then calculated as:

[tex]Mean = \frac{\sum fx}{\sum f}[/tex]

[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]

[tex]Mean = \frac{2547.5}{37}[/tex]

[tex]Mean = 68.9[/tex] -- approximated

Solving (b): The sample variance:

This is calculated as:

[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]

So, we have:

[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]

[tex]s^2 =\frac{652.8}{36}[/tex]

[tex]s^2 =18.1[/tex] -- approximated

Answer:8 y sobran 4

Step-by-step explanation:

8entre  4

Answer:

1.5

Step-by-step explanation:

Answer:

he is the answer

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

25 7 x 5 is 35

Step-by-step explanation:

hope this helps have a good rest of your afternoon :) ❤

Answer:

5 times 5 is 25.

Step-by-step explanation:

Hope this helps you dude

s h r e k (in a maid outfit)

Answer:

it's 3.4

Step-by-step explanation:

hope this helps have a nice day

Answer:

The answer is below

Step-by-step explanation:

El número de personas que vieron solo A = n (A) = 17

El número de personas que vieron solo B = n (B) = 17

El número de personas que vieron solo C = n (C) = 23

El número de personas que vieron A y B = n (A ∩ B) = 6

El número de personas que vieron A y C = n (A ∩ C) = 8

El número de personas que vieron B y C = n (B ∩ C) = 10

El número de personas que vieron las tres películas = n (A ∩ B ∩ C) = 2

1) Número de estudiantes que han visto dos películas = n (A ∩ B) + n (A ∩ C) + n (B ∩ C) = 6 + 8 + 10 = 24

2)

n (A∩ B '∩ C') = n (A) -n (A ∩ B) -n (A ∩ C) -n (A ∩ B ∩ C) = 17-8-6-2 = 1

n (A'∩ B ∩ C ') = n (B) -n (A ∩ B) -n (B ∩ C) -n (A ∩ B ∩ C) = 17-6-10-2 = 1

n (A'∩ B '∩ C) = norte (C) -n (UNA ∩ C) -n (B ∩ C) -n (UNA ∩ B ∩ C) = 23-8-10-2 = 3

estudiantes que no han visto = 55 - n (A∩ B '∩ C') -n (A'∩ B ∩ C ') - n (A'∩ B ∩ C') - n (A ∩ B) -n ( B ∩ C) -n (UNA ∩ C) -n (A∩ B ∩ C) = 55-1-1-3-6-8-10-2 = 24

3)

número de alumnos que no han visto =

4)

número de estudiantes que vieron solo A = n (A∩ B '∩ C') = 1

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

2 yards is greater then 5 feet

Step-by-step explanation:

A yard is 3 feet, 3+3=6     I hope this helps!

Answer and Step-by-step explanation: This function is a probability density function of a random variable X:

[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]

and to calculate probabilities, we will have to integrate it:

[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

Solving:

[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]

Then:

a. P(X < 5)

[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]

[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]

[tex]P(X<5)=\frac{175}{256}[/tex]

P(X < 5) = 0.683

b. P(X < 9)

Since density function's upper limit is 8, probability of x < 9 is 100% or 1.

So, P(X < 9) = 1

c. P(5 < X < 7)

[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]

[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]

[tex]P(5<X<7)=\frac{70}{256}[/tex]

P(5 < X < 7) = 0.273

d. P(X > 3)

[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]

[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]

[tex]P(X>3)=\frac{175}{256}[/tex]

P (X > 3) = 0.683

e. P(X < x) = 0.95

[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]

[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]

[tex]12x^{2}-x^{3}=243.2[/tex]

[tex]-x^{3}+12x^{2}-243.2=0[/tex]

Solving this cubic equation, we have three values for x:

x₁ = -3.909

x₂ = 8.992

x₃ = 6.917

The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.