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3 years ago

Suppose a normal distribution has a mean of 62 and a standard deviation of

Mathematics

1 answer:

tankabanditka [31]3 years ago

6 0

Answer:

66.8% or 0.66772

Step-by-step explanation:

0.66772

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

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Which answer describes the type of sequence? 200, 40, 8, 1.6, ...

GalinKa [24]

Answer:

Option 1 the given sequence is a geometric.

Step-by-step explanation:

We have been given with the series

$200,40,8,1.6$

Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d

$d=a_2-a_1$

$d=40-200=-160$ here $a_2=40,a_1=200$

$d=8-40=-32$ here $a_2=8,a_1=40$

We can see the difference is not same

Hence, the given sequence is not arithmetic sequence.

Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r

$r=\frac{a_2}{a_1}$

$r=\frac{40}{200}=\frac{1}{5}$ here $a_2=40,a_1=200$

$r=\frac{8}{40}=\frac{1}{5}$ here $a_2=8,a_1=40$

$r=\frac{1.6}{8}=\frac{1}{5}$ here $a_2=1.6,a_1=8$

We can see the ratio is same.

Hence, given sequence is geometric

Therefore, Option 1 is correct given sequence is geometric.

7 0

3 years ago

Subtract. Write the difference in simplest form.<br><br>(5n - 3) - (-2n + 7)

kolezko [41]

Answer:

Simplifying

(5n + -3) + -1(-2n + 7) = 0

Reorder the terms:

(-3 + 5n) + -1(-2n + 7) = 0

Remove parenthesis around (-3 + 5n)

-3 + 5n + -1(-2n + 7) = 0

Reorder the terms:

-3 + 5n + -1(7 + -2n) = 0

-3 + 5n + (7 * -1 + -2n * -1) = 0

-3 + 5n + (-7 + 2n) = 0

Reorder the terms:

-3 + -7 + 5n + 2n = 0

Combine like terms: -3 + -7 = -10

-10 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n

-10 + 7n = 0

Solving

-10 + 7n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0

0 + 7n = 0 + 10

7n = 0 + 10

Combine like terms: 0 + 10 = 10

7n = 10

Divide each side by '7'.

n = 1.428571429

Simplifying

n = 1.428571429

3 0

3 years ago

What is the equation

IRINA_888 [86]

Answer:

1+1= 11

1Step-by-step explanation:

I might be wrong so if i am right pls give me a thanks

7 0

3 years ago

#3: A home security company provides security systems for $5 per week plus an installation fee. The total fee for 12 weeks of se

Maru [420]

Answer:

The installation fee is $150

Step-by-step explanation:

Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...

$210-$60=$150

6 0

3 years ago

What is the value of y in the formula shown when x = 4/5?

Pavlova-9 [17]

4(4/5) + √(4/5) + 0.2 - 5(4/5)

= 16/5 + (2√5/5) + (1/5) - 4

= (16 + 2√5 + 1 - 20)/5

= (2√5 - 3)/5 or 0.29442719

6 0

3 years ago