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2 years ago

Help! this is urgent i need it rn ty in advance

Mathematics

1 answer:

olganol [36]2 years ago

4 0

Answer:

The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.

Step-by-step explanation:

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Express the calculation “four times as large as 124+645”

Effectus [21]

The calculation of the expression “four times as large as 124+645” end up in 1141.

Step-by-step explanation:

The question is asked to Express the calculation “four times as large as 124+645”.
The given statement can be written in the expression form to perform the calculations.

Here, the phrase 'four times' represents the multiplication of 4.

⇒ “four times as large as 124+645” = 4(124) + 645

So, the first step is to multiply 4 with 124.

⇒ 4 × 124

⇒ 496

The expression is now modified as “496+645"

We know that, the final result is the addition of the two numbers 496 and 645 which is calculated as

⇒ 496+645

⇒ 1141

Therefore, the calculation of the expression “four times as large as 124+645” end up in 1141.

7 0

3 years ago

In kite PQRS, m∠TQP=63°. Identify m∠QPT.

mario62 [17]

Assuming m<PTQ is a right angle (measuring 90°) and angle TQP is already marked as 63° while knowing there are 180° in a triangle, you would take 180°- 63°- 90°= 27

8 0

3 years ago

Read 2 more answers

The domain of rational function gis the same as the domain of rational function f. Both f and g have a single x-intercept at x =

Irina-Kira [14]

The answer for this is D

5 0

3 years ago

According to a recent New York Times poll, 25% of the public have responded to a telephone call-in

ArbitrLikvidat [17]

Answer:

Probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.

Step-by-step explanation:

We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in poll.

Also, five people have people have been randomly selected.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 5 people

r = number of success = exactly two

p = probability of success which in our question is probability that

public have responded to a telephone call-in poll, i.e; p = 25%

Let X = Number of people who have responded to a telephone call-in poll

So, X ~ Binom(n = 5, p = 0.25)

Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)

P(X = 2) = $\binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}$

= $10 \times 0.25^{2} \times 0.75^{3}$

= 0.264

Therefore, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.

3 0

3 years ago

Question 2 -of 15 Step 1 of 1No Time LimitA company manufactures two products. One requires 5 hours of labor, 3 poundsof raw mat

elena-14-01-66 [18.8K]

the cost of labour per hour is $7.20

the cost of raw materials per pound is $11.60

Explanation:

For product one:

time = 5 hours of labour

let the cost labour per hour = x

Amount = 3 pounds of raw amterials

let the cost of one pound raw material = y

Cost to produce each product = $70.8

The equation:

time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product

5(x) + 3(y) = 70.80

$5x+3y=70.8....\mleft(1\mright)$

For product 2:

time = 3.5 hours of labour

let the cost of labour per hour = x

Amount = 13 pounds of raw amterials

let the cost of one pound raw material = y

Cost to produce each product = $176.00

The equation:

time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product

3.5(x) + 13(y) = 176

$3.5x+13y=176\text{ .... (2)}$

combining both equations:

5x + 3y = 70.8 ...(1)

3.5x + 13y = 176 ....(2)

Using elimination method:

To eliminate y, we will multiply equation (1) by 13 and equation (2) by 3 so that both coefficient of y become the same

65x + 39y = 920.4 ...(*1)

10.5x + 39y = 528 ...(2*)

subtract equation (2*) from (1*):

65x - 10.5x + 39y - 39y = 920.4 - 528

54.5x + 0 = 392.4

54.5x = 392.4

divide both sides by 54.5:

x = 392.4/54.5

x = 7.2

substitute for x in any of the equations

Using equation 1: 5x + 3y = 70.8

$\begin{gathered} 5\mleft(7.2\mright)+3y=\text{ 70.8} \\ 36\text{ + 3y = 70.8} \\ 3y\text{ = 70.8 - 36} \\ 3y\text{ = 34.8} \\ \\ \text{divide both sides by 3:} \\ \frac{3y}{3}=\frac{34.8}{3} \\ y\text{ = }11.6 \end{gathered}$

Hence, the cost of labour per hour is $7.20 and the cost of raw materials per pound is $11.60

6 0

1 year ago