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34kurt
2 years ago
4

The model S (d)= 30df represents the speed S (in miles per hour) of a van before it skids to a stop, where f is the drag factor

of the
road surface and d is the length (in feet) of the skid marks. The drag factor of Road Surface A is 0.75. The graph shows the speed of the
van on Road Surface B. Compare the speeds by finding and interpreting their average rates of change over the interval d=0 to d=15.
Round your answers to the nearest hundredth.​
Mathematics
1 answer:
klemol [59]2 years ago
3 0

Answer:

idk sorry

Step-by-step explanation:

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James has to fill 40 water bottles for the soccer team. Each bottle holds 500 milliliters of water. How many liters of water doe
zhenek [66]

Answer:

20 litter

Step-by-step explanation:

40 \: bottels \:  \times 500 \times  ({10}^{ - 3} ) \: litters \:  = 20 \: litters

5 0
2 years ago
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

7 0
2 years ago
Read 2 more answers
You and a friend are playing a game by tossing two coins. If both coins land
Novosadov [1.4K]

c. No. You have a probability of winning, while your friend has a
probability of winning.
Or it’s A
3 0
2 years ago
Read 2 more answers
Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2
Firlakuza [10]

Answer:

The value of x is 3 ⇒ 2nd answer

Step-by-step explanation:

<u><em>An exterior angle</em></u> is the angle between one side of a triangle and the

extension of an adjacent side

<u><em>The measure of an exterior angle at any vertex of a triangle equal the </em></u>

<u><em>sum of the measures of the two opposite interior angles</em></u>

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

* Lets find the value of x

∵ ∠TRQ is an exterior angle of Δ RTS at the vertex R

∵ The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR ⇒ <u><em>as the rule above</em></u>

∵ m∠TRQ = (45 x)°

∵ m∠RTS = (25 x)°

∵ m∠TSR = (57 + x)°

Substitute these measures in the equation above

∴ 45 x = 25 x + 57 + x

∴ 45 x = 26 x + 57

Subtract 26 x from both sides

∴ 19 x = 57

Divide both sides by 19

∴ x = 3

* The value of x is 3

3 0
2 years ago
Read 2 more answers
One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north
tatyana61 [14]

Answer:

Null hypothesis be H₀ : μ = 100

Alternative hypothesis Hₐ : μ < 100

There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100

Step-by-step explanation:

Here we have;

Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100

Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level

Proposed average location in Wade Tract, μ = 100

Sample mean, \bar x = 99.74

Standard deviation, s = 58

Sample size, n = 584

The t test formula is therefore;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}

Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We have t_{\alpha /2} = -1.65

Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;

There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.

7 0
2 years ago
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