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2 years ago

A staircase handrail is made from congruent parallelograms. In PORS, PQ = 175, ST = 18, and

Mathematics

1 answer:

uysha [10]2 years ago

4 0

Answer:

115°

Step-by-step explanation:

< SPQ = < QRS ( being opposite angles of parallelogram)

<SPQ = 115°

Hope it will help. ❤

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Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day

Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : $\mu=110\text{ miles per day}$

Standard deviation : $\sigma=38\text{ miles per day}$

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 132 miles per day.

$z=\dfrac{132-110}{38}\approx0.58$

For x= 159 miles per day.

$z=\dfrac{159-110}{38}\approx1.29$

Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-

$P(132$

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0

3 years ago

A commercial fisherman is (less likely, equally likely, more likely) to need health insurance than a supermarket employee.

Talja [164]

Answer:

A commercial fisherman is

EQUALLY LIKLEY

to need health insurance than a supermarket employee.

A person who smokes is

MORE LIKLEY

to need health insurance than a nonsmoker.

An 18-year-old male college student is

LESS LIKLEY

to need health insurance than a 72-year-old retired female.

5 0

2 years ago

Find the linear approximation of the function g(x) = 3 1 + x at a = 0. g(x) ≈ Correct: Your answer is correct. Use it to approxi

EleoNora [17]

Answer:

$3.296x+3$

2.835

3.330

Step-by-step explanation:

$g(x) = 3^{1+x}$

Let the linear approximation be L(x) at a = 0. This is given by

$L(x) = g(a) + g'(a)(x-a)$

$g'(x)$ is the derivative of $g(x)$ . To find this, we use the form

If $f(x) = a^x$ , then $f'(x) =a^x\ln a$

By doing this and applying chain rule for the power (which is a function of x), we have

$g'(x) = 3^{1+x}\ln 3$

Then

$g'(0) = 3^{1+0}\ln 3 = 3.296$

Also $g(0) = 3^{1+0} = 3$

Hence $L(x) = 3+(x-0)\times3.296 = 3.296x + 3$

For $3^{0.95}$ , $1+x = 0.95$ and $x=-0.05$

Using this in $L(x)$ ,

$3^{0.95} = 3.296(-0.05) + 3 = 2.835$

For $3^{1.1}$ , $1+x = 1.1$ and $x=0.1$

Using this in $L(x)$ ,

$3^{1.1} = 3.296(0.1) + 3 = 3.330$

7 0

3 years ago

HURRY !!! Farmer McHenry is going to sell his tomatoes at the farmer's market. It costs Farmer McHenry $2.50 in gas, $1 for the

Korolek [52]

Answer:

Step-by-step explanation:

The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:

Total cost = $2,50 + $1 + $0.50

Total cost = $4

Farmer McHenry's revenue depends on the number of tomatoes he sells:

Revenue (t)= Price* t

Revenue (t)= $0.50(t)

To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:

$4=$0.50 (t)

t= $4/$0.50

t= 8

He must sell 8 tomatoes.

5 0

3 years ago

Read 2 more answers

In your own words explain the phrases "claming first and second place respectively"

ladessa [460]

Answer:

If we divide twice the qualifier of Jose by 4 it results in less than 8. What is Jose's highest grade?

4 0

2 years ago