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musickatia [10]
3 years ago
9

Please help

Mathematics
2 answers:
klemol [59]3 years ago
8 0

Answer:

SAS

Step-by-step explanation:

Lisa [10]3 years ago
4 0

Answer:

SAS

Step-by-step explanation:

it has one angle to be equal

  • i.e BÂC = EDC (angle)
  • BC = CE (side)
  • AC = DC (side)
  • therefore, it's SAS
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The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of
noname [10]

Answer:

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 10 minutes and a standard deviation of 3 minutes

This means that \mu = 10, \sigma = 3

Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.

This is 1 subtracted by the p-value of Z when X = 15, so:

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 10}{3}

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

5 0
3 years ago
A square has side length 4 cm. What is its area in cm squared?
stellarik [79]

Answer:

16

Step-by-step explanation:

4x4=16

6 0
3 years ago
Read 2 more answers
What is the 101st term for the sequence 13, 9, 5, 1... ?
NeX [460]

Step-by-step explanation:

  • a=13
  • d=13-9=4

{:}\longrightarrow\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right]

{:}\longrightarrow\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right]

{:}\longrightarrow\sf 50.5×1248

{:}\longrightarrow\sf S_101=63504

  • {:}\longrightarrow\sf a_n=a+(n-1)d

{:}\longrightarrow\sf a_101=13+(101-1)-4

{:}\longrightarrow\sf a_101=13+100(-4)

{:}\longrightarrow\sf 13-400

{:}\longrightarrow\sf a_101=-387

8 0
3 years ago
Write algebraic expression<br> 17 less than the product of 3 and m
motikmotik
"17 less than" implies subtraction of the product of 3 and m, so the equation would be, if solving for x:
x=3m-17
4 0
4 years ago
Read 2 more answers
Anyone? Can help !!!
il63 [147K]

Answer:

C.g(x) = 5x²

Step-by-step explanation:

To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².

Substituting "x" and "y" into the equation tells you if a point is on the graph.

"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).

In f(x) = x², a = 1 even though it's not written.

<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.

g(x) = ax²    

y = ax²       In function notation, g(x) replaces the "y". Switch it back to "y".

5 = a(1)²     Substitute x = 1 and y = 5

5 = a(1)     Solve the exponent first. (1)² = 1

5 = a         When you multiply "a" by 1, the answer is just "a".

a = 5         Solved for "a". Put variable on left side for standard formatting.

With the quadratic form, substitute "a" into g(x).

y = ax²

g(x) = 5x²

7 0
3 years ago
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