Find the value of x.

The radius of Earth's orbit is approximately 15,000,000,000 meters. The radius of Mercury's orbit is 5.8 × 109 meters. What is t

Ilya [14]

15,000,000,000 = 15 × 10⁹

15 × 10⁹ - 5.8 × 10⁹ = 9.2 × 10⁹ m

Answer: C. 9.2 × 10⁹ m

6 0

3 years ago

A pack of 6 batteries of the same type cost £2.79 By calculating the price per battery,

maks197457 [2]

$\large{\rm{\underline{\underline{Answer:}}}}$

Given, 6 batteries for £2.79

(They are of same type, so each of them are of same cost. )

~Simply divide the total price of 6 batteries by 6 to get the price of each battery,

$= \dfrac{£2.79 }{6}$

$= £ \dfrac{279}{100 \times 6}$

$= £ \dfrac{46.5}{100}$

$= £0.465$

Thus, cost of each battery is £ 0.465 (ans)

8 0

2 years ago

Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on

FinnZ [79.3K]

The question is incomplete! Complete question along with answers and step by step explanation is provided below.

Question:

(a) Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)

nq > 10

np > 5

p > 0.5

np > 10

p < 0.5

nq > 5

(b) What is the probability of "12" or fewer successes for a binomial experiment with 20 trials. The probability of success on a single trial is 0.50. Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

Answer:

(a) The correct options are np > 5 and nq > 5

(b) P(x ≤ 12) = 0.8133

Step-by-step explanation:

Please refer to the attached images for explanation, I am unable to type in text editor due to some technical error!

8 0

3 years ago

Jade takes 5 minutes more than twice as long as Binh to ride to their friend’s house. If Binh takes x minutes to ride to his fri

skad [1K]

Answer:

It will take Jade (2x + 5) minutes

Step-by-step explanation:

Let us find the expression that represents the time Jade will take

∵ Binh takes x minutes to ride to his friend’s house

∴ The time Binh takes = x minutes

∵ 5 more means + 5

∵ Twice means × 2

∵ Jade takes 5 minutes more than twice as long as Binh to ride to their

friend’s house

→ Multiply the time Binh takes by 2 and add the product by 5

∵ Binh takes x minutes

∴ The time Jade takes = 2 × x + 5

∴ The time Jade takes = 2x + 5 minutes

∴ It will take Jade (2x + 5) minutes

6 0

3 years ago

Mary's SUV has a 15-gallon gas tank. The SUV gets an estimated 24 miles per gallon.

Delvig [45]

Answer:

A = 360

B= 180

C=270

Step-by-step explanation:

5 0

3 years ago