A satellite can move at 16,000 miles per hour. How many hours will it take to reach a star that is two light years away?

What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-

Sergeeva-Olga [200]

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

7 0

3 years ago

SOMEONE PLEASE HELP MEEEEE3

Darina [25.2K]

The answer is (3,4)

3 0

3 years ago

The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo

Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

$P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}$

$P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]$

$=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112$

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

8 0

3 years ago

A researcher randomly selected 30 people to participate in a study to investigate which of two materials, A or B, used in the he

Yanka [14]

Answer:

Design 1

Step-by-step explanation:

Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense

6 0

3 years ago

The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$