A diagram of Tracy’s deck is shown below, shaded blue. He wants to cover the

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) - 4?

icang [17]

The graph moves down 4 units.

8 0

3 years ago

Write an equation that represents the following word problem.

Genrish500 [490]

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

8 0

3 years ago

What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form

emmasim [6.3K]

Answer:

0.216

Step-by-step explanation:

$8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216$

is this the standard form?

5 0

3 years ago

Each of the 30 major league baseball teams carries a 40-person roster. A sample of 60 players (5 percent of all 1,200 players) i

Georgia [21]

Answer:

No

Step-by-step explanation:

Using this method, each group of 60 players do not have the same chance of being selected.

Also with this method, the selection will not be uniformly distributed among the 30 teams. Some teams will have more players, some will have few and some will have no player selected at all.

8 0

3 years ago

2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for

kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The variables are listed as follows:

$\pi$ is the sample proportion, which is also the estimate of the parameter.

z is the critical value.

n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.90}{2} = 0.95$ , so the critical value is z = 1.645.