What is the length of BC in the right triangle below?

The probability that the mean of this sample is less than 105.4 is 14.46%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean,n\ is\ sample\ mean\\\\\\Given\ that\ \sigma=45,\mu=124.5,n\ =36,hence:\\\\For\ x<105.4:\\\\z=\frac{105.4-124.9}{45/\sqrt{36} }=-1.06[/tex]

From the normal distribution table, P(x < 105.4) = P(z < -1.06) = 0.1446 = 14.46%

The probability that the mean of this sample is less than 105.4 is 14.46%

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Answer:

the measure of the central angle of a regular nonagon is 40 degrees.

Answer:

These are some examples of recurring decimals.

Definiton:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

Answer:

x=33

Step-by-step explanation:

The sum of the angles of a triangle is 180

23+124+x = 180

147+x =180

x = 180-147

x =33

Answer: 33

Step-by-step explanation:

A triangle is equal to 180 degrees. So you add 124 and 23 to get 147. You would then subtract 180-147=33 and then you have your answer. Hope this helps!

9514 1404 393

Answer:

  0, 4, 8

Step-by-step explanation:

As you have noticed, the difference between the end values of x is 20-4 = 16, and the differences in each interval are 4.

The difference between the end values of y is 12 -(-4) = 16, so the differences in each interval will also be 4.

The missing table values are 0, 4, 8. The completed table is ...

  [tex]\begin{array}{cccccc}x&4&8&12&16&20\\y&-4&0&4&8&12\end{array}\right][/tex]

Answer:

$11 067.50 each theater

Step-by-step explanation:

879575 * 9.50 = 8355962.50 revenue total   8355962.50 / 755 = $11 067.50 each theater

Answer:

-3/1-x

Step-by-step explanation:

the answer is up look at it

Answer:

47 boxes

Step-by-step explanation:

Since each box has 36 cookies, we can divide the total number of cookies by 36 to find out how many boxes he could fill.

1692/36=47

Answer:

-9y + 7 = -9y + 6

Step-by-step explanation:

-9y + 7 = -9y + 6

Has no solution

add 9y to both sides

7 = 6 which is false

therefor no y exists that can result in a solution

Answer:

Hope this helps.

Step-by-step explanation:

When measuring for floor tile the rule is:

Length x Width + Waste = Amount Needed

Waste Factor will vary based upon tile size, layout, configuration of room, patterns, etc. Typical waste factor is about 10%. Add 15% for tile being installed diagonally or for a room with lots of jogs and corners. These installations will require more cuts and thus more waste.

Answer:

x = 7 and y = -8      ordered pair is (7, -8)

Step-by-step explanation:

0.1x + 0.3y = - 1.7

0.3x - 0.5y = 6.1

Solving the first equation for x    0.1x = -0.3y - 1.7

                                                     0.1x/0.1 = -0.3y/0.1 - 1.7/0.1

                                                          x = -3y - 17

Substitute into the second equation.

0.3(-3y - 17) - 0.5y = 6.1

 -0.9y - 5.1 - 0.5y = 6.1

-1.4y - 5.1 = 6.1

-1.4y = 5.1 + 6.1

-1.4y = 11.2

     y = 11.2/-1.4

     y = -8

     Substitute y into the first  equation and solve for x

               x = -3y - 17

                x = -3(-8) - 17

                x = 24 - 17

                x = 7              

Answer:

Sophie Has 7 Dimes, And 14 Quarters

Step-by-step explanation:

Sophie Had 7 Dimes, 7 Dimes, 7 Dimes!

Sophie Had 14 Quarters, 14 Quarters, 14 Quarters!

Sophie is Bill Nye's Daughter.

Answer:

5:30 P.M.

Step-by-step explanation:

30 (slide) minutes and 55 (swings) minutes. These numbers (time-wise) total up to an hour and 25 minutes. Adding this to 4:05 P.M. would mean that she left the playground at 5:30 P.M.

Hope this helps.

Answer: 45 degrees angle

Answer:

I'm not entirely sure whether is X is with 4 under the fraction or not, so I put up both graphs results.

First one: F(x) = -(3/4)X +6

Second graph: F(x) = -(3/4X) + 6

Answer:

0

Hope I helped

Answer:

x>= 11 or x>10

Step-by-step explanation:

Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.

So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.

*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*

Answer: -103

Step-by-step explanation:

substitute in the value of B

12+23(-5)

multiply 23 and -5 together

12-115

solve

-103 is the answer

Answer:

-103

Step-by-step explanation:

g(x) = 2x^2

for g(- 4), you just plug in - 4 for x

g(- 4) = 2(- 4)^2

g(- 4) = 2(16)

g(- 4) = 32

Answer:

g(-4) = 32

Step-by-step explanation:

Given the quadratic function, g(x) = 2x², finding the output value given g(-4) involves substituting the value of the input, x = -4, into the function.

g(x) = 2x²

g(-4) = 2(-4)² = 2(-4)(-4)

g(-4) = 2(16)  

g(-4) = 32

Therefore, g(-4) = 32.

Answer:

70.

Step-by-step explanation:

Let x be the required number.

We are asked to find the number whose 90% equals to 63.

We can represent our given information in an equation as:

Now, we need to solve for x.

Therefore, 90% of 70 is 63.

Answer:

Nancy gets more, she gets 252 while George gets 168.

Step-by-step explanation:

420÷5=84

168:252

George:Nancy

Answer: WHERE IS THE DIAGRAM

x × 20 = 80

x = ?

x = 80 ÷ 20

x = 4

x = 4 ✔️

[tex]\large \color{red}\boxed{\bf Answer:}[/tex]

x × 20 = 80

20x = 80

x = 80÷20

x = 4

Answer:

Interest rate (r ) = 0.035 or 3.5%

Step-by-step explanation:

Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:

Use the simple interest formula and algebraically solve for variable, interest rate, r :

I  =  P × r × t

Where:

I = interest payment = $378

P = principal amount = $1,800

t = time (in years) = 6

r = interest rate

Divide both sides by P × t to isolate r :

[tex]\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}[/tex]

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}[/tex]

Substitute the given values into the formula for the interest rate:

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}[/tex]

Interest rate (r ) = 0.035 or 3.5%

Therefore, the interest rate is 3.5%.

Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

Answer:

y=5x-11 is the equation of the required line

Answer:

Step-by-step explanation:

Any equation, for example 2r =2/3

Answer:

669.77

Step-by-step explanation: