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3 years ago

Help solve problem please

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer:

1 / 13

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of aces in a deck = 4

Since selection is drawn with replacement, then probability of drawing a certiaj number of card from the deck will be the same each time a selection is made :

Probability = required outcome / Total possible outcomes

The required outcome = number of aces = 4

Total possible outcomes = total number of cards = 52

P(drawing an ace) = 4 / 52 = 1 /13

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The next model of a sports car will cost 14.7% more than the current model. The current model costs 37,000.How much will the pri

larisa [96]

Answer:

The price increases by 5439 dollars.

The price of the next model is 42439 dollars.

Step-by-step explanation:

The next model of sports car will cost 14.7% more so it will be 114.7% of the current model. Therefore you multiply

37000 * 1.147 = 42439

To find out how much it increases by, you find the difference between the two prices which is 5439 dollars.

Hope this helped!!

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4 years ago

HELP PLEASE!Write the equation of the line parallel to y = –x + 5 passing through the point (9, –1).

Westkost [7]

Y=-x+8
gradient of the parallel line is the same as the gradient of the line given, which is -1
to find the y-intercept, sub the values (9,-1) into the equation we are finding which is y=-x+c

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3 years ago

If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .8

hichkok12 [17]

Answer:

About 384.3 feet

Step-by-step explanation:

The formula for that is given by,

$S= \sqrt{30 \times d \times f \times n}$

Where,

S is the speed of the car

d is the distance of skid

f is the drag factor for the road surface

n is breaking efficiency as percentage

Putting the values we get,

$S^2= 30 \times d \times f \times n$

$d= \frac{S^2}{30 \times f \times n}$

$d = \frac{70^2}{30 \times 0.50 \times 0.85} = 384.3$ feet

So the length of skid marks would be 384.3 feet.

8 0

3 years ago

Please help! So confused. "Explain how calculating your car's displacement relates to the formula for the volume of a cylinder.

maks197457 [2]

<span>Displacement is closely related to the volume of each cylinder. The radius should be squared and multiplied by Pi (3.14) and then multiplied by the height of the cylinder to calculate the volume of each cylinder. This value can then be multiplied by the number of cylinders to find the total displacement.</span>

4 0

3 years ago

Can anyone explain how you got the answer please.

Ipatiy [6.2K]

Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is identify whether or not the diagonals are perpendicular, which helps much to know to prove what angle AOB.

_____

Let us say that this is a rhombus. That would make the diagonals perpendicular, and hence ∠AOB should be 90 degrees, but let's not jump to conclusions. We need to calculate the length of BO. By Pythagorean Theorem it should be the following length -

$( BC )^2 = ( BO )^2 + ( OC )^2,\\( 10 )^2 = ( BO )^2 + ( 7.8 )^2,\\100 = BO^2 + 60.84,\\BO^2 = 39.16,\\\\BO = ( About ) 6.26\\$

_____

Knowing BO, to prove that this is a rhombus we can find the length of BO another way, and match it to the length 6.26 -

Δ ABD = Equilateral,

BD = 10 cm,

" Coincidence Theorem " - BO = 5 = OD.

Here BO = 5. 5 is close to 6.26 but not exactly, so the measure of angle AOB is not 90, but better yet 80.

7 0

4 years ago