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andrew11 [14]
3 years ago
7

FSA Mathematics Practice Test Questions

Mathematics
1 answer:
Luda [366]3 years ago
8 0
There is no number line shown...
Brainliest would be nice
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Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be w
zzz [600]

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

<u>The white squares</u>

a = 2 --- initial

d = 4 - 2 = 6 - 4

d = 2 -- difference between successive gray squares

So, the nth term is:

W_n = a + (n - 1)d

W_n = 2 + (n - 1)*2

W_n = 2 + 2n - 2

W_n = 2n

<u>The gray squares</u>

a = 6 --- initial

d = 8-6=10-8

d = 2 -- difference between successive gray squares

So, the nth term is:

G_n = a + (n - 1)d

G_n = 6 + (n - 1) *2

G_n = 6 + 2n - 2

G_n = 4 + 2n

When the white squares is 16

W_n = 16 --- Calculate n

W_n = 2n

16 = 2n

8 = n

n = 8

To get the number of gray squares;

Substitute n = 8 in G_n = 4 + 2n

G_n = 4 + 2 * 8

G_n = 20

4 0
3 years ago
Consider a normal distribution curve where 90-th percentile is at 20 and the 25-th percentile is at 10. use this information to
ivann1987 [24]
The 25th percentile corresponds to z ≈ -0.67.
The 90th percentile corresponds to z ≈ 1.28.
So, you can write two equations in μ and σ as here:
.. μ -0.67σ = 10
.. μ +1.28σ = 20

The solution is
.. μ ≈ 13.45
.. σ ≈ 5.11

5 0
3 years ago
4 x 105 in standard notation
Paul [167]

Answer:

Lol its 420

Step-by-step explanation:

6 0
3 years ago
Please help and show work thank you!
MariettaO [177]

Answer:

1)-0.65    2) 28.8   3) 747.6

Step-by-step explanation:

  1. divide the numerator (-13) and the denominator (20)
  2. 32 x 90= 2880, divide 2880 by 100 equals to 28.8

    3. multiply 12 by 62.3

I hope this helps!

7 0
3 years ago
Read 2 more answers
The set of life spans of an appliance is normally distributed with a mean
HACTEHA [7]

Answer:

24 months

Step-by-step explanation:

Lifespan with z-score of -3 in the the set of normally distributed life spans of an appliance can be calculated using the equation:

z=\frac{X-M}{s} where

  • X  is the lifespan we are looking for
  • M is the mean life span of the appliance (48 months)
  • s is the standard deviation of the distribution of the life spans (8 months)

We have -3=\frac{X-48}{8}  that is

-24=X-48 and

X=24 months.

The life span of an appliance that has a z-score of -3 is 24 months.

5 0
3 years ago
Read 2 more answers
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