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2 years ago

Match the verbal description to the correct expression.

Mathematics

1 answer:

dusya [7]2 years ago

6 0

Answer:

1. n + 34

2. n - 34

3. n × 34

Step-by-step explanation:

1. 34 more than a number n + 34

2. a number decreased by 34 n - 34

3. the product of a number and 34 n × 34

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The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i

Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

$z=\frac{x-\mu}{\sigma}$ , for a sample size of n, the z score is: $z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07$

For x = 80:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07$

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

$z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years$

3 0

3 years ago

Consider the following functions

TiliK225 [7]

Step-by-step explanation:

g(5)=3(5)-11

=15-11

f(g(5))=2(4)²+4(4)+10

=2(16)+16+10

=32+26

=58

5 0

3 years ago

The first three steps of completing the square to solve the quadratic equation x^2+4x-6=0 are shown below.

ad-work [718]

Take the sqrt of both sides of <span>(x+2)^2=10:

x+2 = plus or minus sqrt(10)

Solve for x: x = -2 plus or minus sqrt(10)

Evaluate x: x = -2 + sqrt(10) AND x = -2 - sqrt(10) (answers)

</span>

5 0

3 years ago

Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of before taxes

storchak [24]

136.71-122.57=14.14 BUTTT 136.71+58=194.71

194.71-122.57=72.14

so its 72.14 (if multiple choice question and thats not on there, do 14.14 ONLY IF)

4 0

3 years ago

Daniel has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 :1. How many tablespoons of salt does Daniel have

ddd [48]

Answer:

Step-by-step explanation:

because for every 3 teaspoons of salt he will have 1 tablespoon of salt and 6 divided by 3 is 2

8 0

2 years ago