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2 years ago

There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun

1 answer:

7 0

The probability that the result is a multiple of
2 and a multiple of 5 is; 0.1
We are told that:
-The spinner has 10 equal areas
- Numbers on the spinner are 1 to 10
Thus,
Total available numbers; N = 10 numbers
We want to find the probability that the result
is a multiple of both 2 and 5.
Now,among all the digits from 1 to 10, the
only one that is a multiple of both 2 and 5 is
10.
Thus,
P(result is a multiple of 2 and a multiple of 5)
= 1/10 = 0.1

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If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t2. Fi

Finger [1]

ANSWER:

If a ball is thrown into the air with a velocity of 34 feet per second, then velocity of the ball after 1 second is 2 feet per second

SOLUTION:

Given, a ball is thrown into the air with a velocity of 34 feet per second

Initial velocity (u) = 34 feet per second

And also given a relation between displacement and time = $\mathrm{y}=34 \mathrm{t}-16 \mathrm{t}^{2}$ --- eqn 1

We need to find the velocity when t = 1 ; v = ?

We know that, v = u + at and $\mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}$

where v is instantaneous velocity and u is initial velocity

a is acceleration

t is time interval

s is displacement

using the displacement and time relation eqn (1) we get

Now, when t = 1, displacement s = 34(1) – 16(1)

$\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}=34-16$

$34 \times 1+\frac{1}{2} \times a \times 1^{2}=18$

$34+\frac{a}{2}=18$

$\begin{array}{l}{\frac{a}{2}=18-34} \\\\ {\frac{a}{2}=-16} \\ {a=-16 \times 2} \\ {a=-32}\end{array}$

here, -ve sign indicates that object is in deceleration . so acceleration is -32 ft/s

now put a value in v = u + at

v = 34 + (-32)(1)

v = 34 – 32

v = 2 ft/s

Hence, velocity of the ball after 1 second is 2 ft/s

6 0

3 years ago

What is the unit rate for this? Time: 1, 2, 3, 4 Amount: 0.6, 1.2, 1.8, 2.4

Debora [2.8K]

Answer:

1:0.6

Step-by-step explanation:

4 0

3 years ago

A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box with

aliina [53]

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

6 0

2 years ago

What fraction is equivalent to 3/9

Crazy boy [7]

Answer:

the simplified version of 3/9 would be 1/3 but other equivalent fractions of 3/9 would include but are not exclusive to: 2/6, 4/12, 5/15, and etc.

6 0

3 years ago

Read 2 more answers

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 4 minutes and a stand

DedPeter [7]

Answer:

3.24 minutes

Step-by-step explanation:

Use a calculator or chart to find the z-score.

P(Z > z) = 0.60

P(Z < z) = 0.40

z = -0.253

Find the time associated with the z-score.

z = (x − μ) / σ

-0.253 = (x − 4) / 3

x = 3.24

6 0

3 years ago