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2 years ago

7

A byte is used to measure a computer's memory. There are 2^30 bytes in a gigabyte. A computer has an 8 gigabyte memory. Which ex

pression represents the computer's memory in bytes?

1 answer:

aksik [14]2 years ago

5 0

Answer:

8x2^30

Step-by-step explanation:

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The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the leng

Yuri [45]

Answer:

16 cm

Step-by-step explanation:

Let the three consecutive even integers representing the sides of the triangle PQR be x, (x +2) and (x + 4).

Since, perimeter of triangle PQR = 42 cm

$\therefore \: x + (x + 2) + (x + 4) = 42 \\ 3x + 6 = 42 \\ 3x = 42 - 6 \\ 3x = 36 \\ x = \frac{36}{3} \\ x = 12 \\ \\ \because \: longest \: side = x + 4 \\ \therefore \: longest \: side = 12 + 4 \\ \red{ \bold{ \therefore \: longest \: side = 16 \: cm}} \\$

6 0

1 year ago

A company wants to establish that the mean life of its batteries, when used in a wireless mouse, is over 183 days. The data will

enyata [817]

Answer:

a) Null and alternative hypotheses are:

$H_{0}$ : mu=183 days

$H_{a}$ : mu>183 days

b) If the true mean is 190 days, Type II error can be made.

Step-by-step explanation:

Let mu be the mean life of the batteries of the company when it is used in a wireless mouse

Null and alternative hypotheses are:

$H_{0}$ : mu=183 days

$H_{a}$ : mu>183 days

Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.

That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.

4 0

2 years ago

Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While tal

mixas84 [53]

Answer:

A) 3.5

B) 1.6202

Step-by-step explanation:

In binomial distribution,

E(X) = np and Var(X) = npq while

SD (X) = √(npq)

Where n is number of cards drawn

p is probability of getting one particular shape

q = 1-p

So from the question, n = 14

p = 13/52 = 1/4

q = 1-(1/4) = 3/4

So;

A) E(x) = np = 14 x 1/4 = 3.5

B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202

4 0

2 years ago

Ibrahim has two lists of numbers. The mean of the numbers in the first list is p. The mean of the numbers in the second list is

Nata [24]

Step-by-step explanation:

The two conditions that must be satisfied for Ibrahim to be correct are:

1. The range of numbers in each list must also be the same.

2. The number of numbers in both list must also be same.

4 0

2 years ago

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion ring

AlladinOne [14]

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

$45x + 325y = 920$

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

$x = 3y$

Solving the two equation by substitution method, we get,

$45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6$

Thus, there were 6 onion rings and 2 slider in the combination meal.

7 0

2 years ago