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3 years ago

50 points , please be honest

Mathematics

2 answers:

Kamila [148]3 years ago

7 0

Answer:

$\sqrt{15}$

Step-by-step explanation:

a^2+b^2=c^2

7^2+b^2=8^2

49+b^2=64

b^2=15

b= $\sqrt{15}$

Greeley [361]3 years ago

5 0

Answer:

Step-by-step explanation:

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Luke’s basketball team went to an amusement park at the end of the season. The cost of the admission for 5 coaches and 12 player

Finger [1]

Answer:

The admission cost for each player was 22.50.

Step-by-step explanation:

Given:

Luke’s basketball team went to an amusement park at the end of the season.

The cost of the admission for 5 coaches and 12 players was 407.50.

The admission cost for each coach was 27.50.

Now, to find the admission cost for each player.

Total admission cost = 407.50.

Number of coaches = 5.

Admission cost for each = 27.50.

So, the cost of admission of all coaches:

$27.50\times 5$

$=137.50.$

Then, we deduct the cost of admission of all coaches from the total admission cost:

$407.50-137.50$

$=270.$

Remaining cost = 270.

Number of player = 12.

Now, to get the admission cost for each player we divide the remaining cost by number of players:

$270\div 12$

$=22.50.$

Therefore, the admission cost for each player was 22.50.

7 0

3 years ago

x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 de

barxatty [35]

Answer:

The standard deviation of this probability distribution is 1.2.

Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35

Mean:

Each value multiplied by its probability. So

$M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55$

Variance:

Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

$V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475$

Standard deviation:

Square root of the variance. So

$S = \sqrt{V} = \sqrt{1.4475} = 1.2$

The standard deviation of this probability distribution is 1.2.

6 0

3 years ago

Find the value of x. Then find the measure of each labeled angle. (9x - 10) (5x + 38)

omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

= 12

substitute into the equations:

(9*12)-10

(5*12)+38

3 0

3 years ago

A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of

Zolol [24]

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height

If we rewrite the given expression :

$\mathbf{7x^3+3.5x^2}$ ;

Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.

i.e

$\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}$

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

6 0

3 years ago

If m <1=45°,Which other angles have a measure of 45°? check all that apply

Alex777 [14]

Answer:

4 and 5 hope this helps

Step-by-step explanation:

7 0

3 years ago