Which of the following is equal to 57%?<br> O A. 35<br> O B. 53<br> 5.3<br> D. 15

Distance that sound travels through air d varies directly as time t, and d=1,675 ft when t=5 seconds, find t when d=5025ft

Marysya12 [62]

Divide 5025 by 1675 then whatever you get multiply it by 5 that will get you t when d is 5025

5 0

3 years ago

A certain basket contains 10 apples, 7 of which are red and 3 of which are green. if 3 different apples are to be selected

SashulF [63]

The probability for getting a red apple is 70% and green apples is 30%.
So for getting three different apples is impossible since there are two types of apples.

3 0

3 years ago

A bag contains colored eggs.

emmasim [6.3K]

Answer:

.25

Step-by-step explanation:

2 eggs are pink

4 eggs are purple

2 eggs are orange

-----------------------

8 total eggs

P( orange) = orange eggs/ total eggs

= 2/8

= 1/4

= .25

3 0

3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

If a person flips a coin and then rolls a six dash sided die, describe the sample space of possible outcomes using Upper H comm

xenn [34]

Answer:

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }

Step-by-step explanation:

If a person flips a coin; the possible outcomes of flipping a coin are { Head (H), Tail (T) }

If a person rolls a six dash side die, the possible outcomes of rolling a dice are { 1, 2, 3, 4, 5, 6 }

Now, If a person flips a coin and then rolls a six dash side die;

The Sample Space (S) which is the set of all the possible outcomes of the activities carried out can be described as follows:

DIE COIN →

↓

H T

1 (1,H) (1,T)

2 (2,H) (2,T)

3 (3,H) (3,T)

4 (4,H) (4,T)

5 (5,H) (5,T)

6 (6,H) (6,T)

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }

3 0

3 years ago

Which of the following is equal to 57%? O A. 35 O B. 53 5.3 D. 15