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marysya [2.9K]
3 years ago
7

018 10.0 points

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

what grade

Step-by-step explanation:

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What is equivalent to 10x - (5x -1)
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5x + 1  is the simplest form

Step-by-step explanation:

what is equivalent to 10x - (5x -1)

10x - (5x -1) = 10x  - 5x + 1

=  5x + 1

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Hei has $1,300 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional
SVEN [57.7K]

Answer:

Her account balance after 5 years is $8702.87

Step-by-step explanation:

1500 (1.05) = 1575 --> after one year

1575 + 1500 = 3075    

3075 (1.05) = 3228.75 --> after two years

3228.75 + 1500 = 4728.75

4728.75 (1.05) = 4965.1875 --> after three years

4965.1875 + 1500 = 6465.1875

6465.1875 (1.05) = 6788.44688 --> after four years

6788.44688 + 1500 = 8288.44688

8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87

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3 years ago
Every year at the AP Statistics Exam reading apparel is sold to commemorate the event. Based on historical data, we know that 56
worty [1.4K]

Answer:

0.284

Step-by-step explanation:

To carry out this calculation, we begin by describing the sampling distribution of the sample proportion.

The sample size is n = 50 and the population proportion of teachers who made an apparel purchase is 0.56.

Shape: Because np = (50)(0.56) = 28 and n(1 – p) = (50)(0.44) = 22 are both at least 10, the shape of the sampling distribution of the sample proportion is approximately Normal.

Center:

μ

p

^

=

p

=

0

.

5

6

μ

p

^

​

​ =p=0.56

Variability: The standard deviation of the sample proportion is approximately

(

0

.

5

6

)

(

0

.

4

4

)

5

0

≈

0

.

0

7

0

2

50

(0.56)(0.44)

​

​ ≈0.0702.

P(

p

^

p

^

​ > 0.6) = Normalcdf(lower: 0.6, upper: 1000, mean: 0.56, SD: 0.0702) = 0.284.

P

(

p

^

>

0

.

6

)

=

P

(

z

>

0

.

6

−

0

.

5

6

0

.

0

7

0

2

)

=

P

(

z

>

0

.

5

7

)

=

1

−

0

.

7

1

5

7

=

0

.

2

8

4

3

P(

p

^

​ >0.6)=P(z>

0.0702

0.6−0.56

​ )=P(z>0.57)=1−0.7157=0.2843

6 0
3 years ago
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