In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

KiRa [710]

You can solve the system of equations.

Multiply the first equation by -3 and add to the second equation.

            -3x - 3y = -72
            3x + 5y = 100
(add)     --------------------------
                            2y = 28

y = 14

x + y = 24
x + 14 = 24
x = 10

Answer:
There are 10 3-points questions and 14 5-point questions.

Check: 10 + 14 = 24   There are 24 questions
10 * 3 + 14 * 5 = 30 + 70 = 100   The total number of points is 100.
Our answer is correct.

3 0

2 years ago

Read 2 more answers

The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches. Use the Empiric

maks197457 [2]

Answer: c)[50,60]

Step-by-step explanation:

The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).

We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.

Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.

i.e. about 68% of the heights of students lies between $\text{Mean}\pm\text{Standard deviation}$

i.e. about 68% of the heights of students lies between $55\pm5$

Here, $55\pm5=(55-5, 55+5)=(50,60)$

i.e. The required interval that contains the middle 68% of the heights. = [50,60]

Hence, the correct answer is c) (50,60)

4 0

2 years ago

what is the typical distance a moped can be driven on a single tank of gas? a statistical question/ explain your reasoning

Svet_ta [14]

Answer:

Step-by-step explanation:

the bfjfnd hat nsth dum

8 0

2 years ago

Read 2 more answers

Which represents the polynomial written in standard form?

pshichka [43]

Answer:

Option A.

Step-by-step explanation:

In order to write any polynomial in standard form, we need to check the degree of each term, then write each term in order of degree, from highest to lowest, left to right.

The given polynomial is

$8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3$

Here, the combine degree of x and y in each term is 4.

If we arrange the terms according to the degree of x, then

$4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3$

If we arrange the terms according to the degree of y, then

$-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4$

Hence, the correct option is A.

3 0

2 years ago

Read 2 more answers

An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach

Alik [6]

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

1st 2nd 3rd 4th 5th 6th week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

3 0

2 years ago