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raketka [301]
3 years ago
11

HELP ME PLEASE I WILL MAKE U BRAINLIEST

Mathematics
2 answers:
8090 [49]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters.

A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02

=P(|z|<1) (since 1 std dev on either side of the mean)

=2(0.3418)

=0.6826

=68.26%

The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is

=P(1<z<2) (since between 1 and 2 std dev from the mean)

=0.475-0.3418

=0.3332

=33.32%

Vladimir [108]3 years ago
3 0

Answer:

the first one is .6826%

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Angie bought tickets for her and her friends to go to the movies
Viktor [21]

Answer:

8t+$6=$46

8t=$40

t=5 tickets

6 0
3 years ago
What is the mean absolute deviation of the following 8,9,9,,10,10,10,11,11,12,12,-2,13,13,13,13,14,14,16,17,17,18,18,18,18,20
Damm [24]

Answer:

-2

Step-by-step explanation:

4 0
3 years ago
The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.
quester [9]

Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term=\dfrac{2}{3}   (2)

Put n=5 and a= 54 in (1), we get

a_5=(54)r^{4}=     (3)

From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

3 0
4 years ago
1. Jordan scores a 53 on his math test. The class average is 57 with a standard deviation of
dsp73
53-57/2= -4/2= -2
Jordan scored 2 Standard deviation below the mean
3 0
2 years ago
Please explain 12 and13and please please please hurry!
pantera1 [17]

Answer:

12. a = 2

13. x = \dfrac{4}{3}

Step-by-step explanation:

12.

6a(a + 3) = 2a(3a + 5) + 16

First, distribute 6a on the left side, and distribute 2a on the right side.

6a² + 18a = 6a² + 10a + 16

Subtract 6a² from both sides.

18a = 10a + 16

Subtract 10a from both sides.

8a = 16

Divide both sides by 8.

a = 2

13.

\dfrac{1}{3}x + \dfrac{1}{2}x = \dfrac{1}{3}(x + 2)

The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.

6 \times \dfrac{1}{3}x + 6 \times \dfrac{1}{2}x = 6 \times \dfrac{1}{3}(x + 2)

\dfrac{6}{3}x + \dfrac{6}{2}x = \dfrac{6}{3}(x + 2)

2x + 3x = 2(x + 2)

Combine like terms on the left side. Distribute the 2 on the right side.

5x = 2x + 4

Subtract 2x from both sides.

3x = 4

Divide both sides by 3.

x = \dfrac{4}{3}

6 0
2 years ago
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