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3 years ago

David drove 135 miles in 3 hours

2 answers:

4 0

Answer: if you are trying to find the hourly rate it's 45/hr. If your looking for minute rate it's .75/min. If you are looking for seconds rate it's .0125/sec

Step-by-step explanation: divide 135 by 3 for hourly rate. Divide 45 by 60 for minute rate. Divide .75 by 60 to to get seconds rate.

Montano1993 [528]3 years ago

3 0

Answer: 45 miles per hour

Step-by-step explanation:

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The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Whe

marissa [1.9K]

Answer:

a) 0.31 = 31%

b) 0.03 = 3%

c) 0.36 = 36%

d) 2 times

Step-by-step explanation:

If $F_X(x)$ is the cumulative distribution function of the random variable X, then by definition the probability P of the random variable is given by

$P(X \leq x) = F_X(x)$

If additionally the random variable is discrete (only has non-negative integers as outcomes as is the case in this problem) then

$P(X=a)=F_X(a)-\lim_{x \to a^-}F_X(x)$

We are looking for P(X<2)

$P(X < 2) = P(X\leq 2)-P(X=2)=F_X(2)-\lim_{x \to 2^-}F_X(x)=0.84-0.53=0.31$

In this case we want P(X>3)

$P(X >3) = 1-P(X\leq 3)=1-F_X(3)=1-0.97=0.03$

Now, we are interested in P(X=1)

$P(X =1) =F_X(1)-\lim_{x \to 1^-}F_X(x)=0.53-0.17=0.36$

The expected number of times that the process is recalibrated during the week is the expected value of the probability distribution:

P(X=1)+2P(X=2)+...+nP(X=n)+...

But it is easy to see that P(X=n) = 0 if n is an integer >4

So, the expected value is

P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)

We already have P(X=1) and P(X=2). Let's compute the rest

$P(X =3) =F_X(3)-\lim_{x \to 3^-}F_X(x)=0.97-0.84=0.13$

$P(X =4) =F_X(4)-\lim_{x \to 4^-}F_X(x)=1-0.97=0.03$

and the expected value is

0.36 + 2*0.53+3*0.13+4*0.03= 1.93 = 2 times rounding to the nearest integer.

8 0

4 years ago

What times 3/8 equals 1 whole

Elis [28]

$\frac{8}{3}$ times $\frac{3}{8}$ equals 1

Solution:

Given expression is at what times $\frac{3}{8}$ equals the whole.

Whole means 1 in a fraction.

Let us take the number of times be x.

$x\times\frac{3}{8} =1$

Multiply by $\frac{8}{3}$ on both sides of the equation.

$x\times\frac{3}{8}\times\frac{8}{3} =1\times\frac{8}{3}$

$x\times\frac{24}{24} =1\times\frac{8}{3}$

$x\times\frac{24}{24} =\frac{8}{3}$

$x\times1 =\frac{8}{3}$

$x =\frac{8}{3}$

Hence the fraction $\frac{8}{3}$ times $\frac{3}{8}$ equals 1.

5 0

3 years ago

At a school number of boys:number of girls = 1:9 there are 124 more boys than girls. Work out the total number of students at th

kykrilka [37]

124 x 9 = the amount of girls which is 1116 then add the boys which is 124 so 1116 + 124 = 1250. After i did that i relized your question dont make sense

3 0

3 years ago

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $18.86. James ordered a medium dri

kirill115 [55]

Hamburger: $3.25
Medium Fries: $1.45
Medium Drink: $1.39

5 0

4 years ago

Read 2 more answers

A power plant is located on a river that is 600 feet wide. To lay a new cable from the plant to a location in a city 1 mile down

Lerok [7]

Answer:

C(x) = 175√(x² + 360000) + 528000 - 100x

Step-by-step explanation:

See the attachment below (Line PR = 1mile)

C(x) = Cost of Distance across the river + Cost of Distance along the land

Calculating Distance Across the river:

In triangle OPQ,The distance across the river is represented by line y

Line y is the hypothenus of the triangle

Pythagoras theorem states that:

if one angle of a triangle is 90 degrees, then the square of the length of the hypotenuse - the side opposite the right angle - is equal to the sum of the squares of the lengths of the other two sides.

So,

y² = x² + 600²

y² = x² + 360000

y = √(x² + 360000)

If it costs $175 per foot across the river then It'll cost

175 * √(x² + 360000) to lay cables across the river.

Calculating Distance along the land

Distance along the land is represented by line QR

Line QR = Line PR - PQ.

Where PR = 1 Miles (1 mile = 5280 feet)

So, PR = 5280

Line PQ = x

So, QR = 5280 - x

If it costs $100 per foot along the land,then it'll cost

100 * (5280 - x) to lay cables along the land

= 528000 - 100x

C(x) = 175√(x² + 360000) + 528000 - 100x

8 0

3 years ago

David drove 135 miles in 3 hours ​

David drove 135 miles in 3 hours