Find the value of the expression.

A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by running at a constant

jeka57 [31]

D = RT would be the fundamental equation to answer this, which is

Distance in D

Rate is R (speed)

It is now.

We can determine the individual distances for the two legs of the whole to determine the overall distance D.

Initial Leg:

R = 8

T = a

D = 8a

8(45 – b) + 7.5b =D

What is the formula for rate and distance?

Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.

Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.

Use the formula d = st, or distance equals speed times time, to find the distance.

Distance Equals speed x time

Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.

Distance = Rate x Time

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

speed equals distance/time.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

Time = Speed/Distance

Learn more about rate and distance brainly.com/question/1090517

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6 0

2 years ago

For which of these does correlation most likely imply causation?

Tema [17]

Answer:B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

There are many regulations for catching lobsters off the coast of New England including required permits, allowable gear, and si

Georgia [21]

Answer:

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Step-by-step explanation:

Given - There are many regulations for catching lobsters off the coast

of New England including required permits, allowable gear, and

size prohibitions. The Massachusetts Division of Marine Fisheries

requires a minimum carapace length measured from a rear eye

socket to the center line of the body shell. For a particular local

municipality, any lobster measuring less than 3.37 inches must

be returned to the ocean. The mean carapace length of the

lobsters is 4.01 inches with a standard deviation of 2.13 inches.

A random sample of 60 lobsters is obtained.

To find - What is the probability that the sample mean carapace length

is more than 4.25 inches?

Proof -

Given that, μ = 4.01, σ = 2.13 , n = 60

Now,

μₓ⁻ = σ / √n

= $\frac{2.13}{\sqrt{60} }$

= $\frac{2.13}{7.746}$ = 0.275

⇒μₓ⁻ = 0.275

Now,

P(X⁻ > 3.37) = 1 - P( X⁻ < 3.37)

= 1 - P(z < $\frac{3.37 - 4.25}{0.275}$ )

= 1 - P( z < -3.2 )

= 1 - 0.0007

= 0.9993

⇒P(X⁻ > 3.37) = 0.9993

∴ we get

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

6 0

3 years ago

Simplify y4 x y3 A. Y^1 B. Y^7 C. Y^12 D. Y^43

Otrada [13]

The answer is B. Y^7. u have to add the exponent

4 0

3 years ago

Read 2 more answers

A lot of national flags are made up of three horizontal stripes.

marishachu [46]

How many different three colour flags (tricolors) can be designed using green, blue, red, yellow and black stripes if all three colours must be different?
6P3 = 6!/(6 - 3)! = 6!/3! = (6 x 5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 720/6 = 120 flags.

How many of them contain a red stripe?
The remaining two colours can be arranged in 5P2 = 5!/(5 - 2)! = 5!/3! = (5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 120/6 = 20ways
The red stripe can arranged in 3 ways
Therefore, number of flags having red stripe is 20 x 3 = 60 flags.

7 0

3 years ago