Evaluate –10 • x • 5 when x = –1.<br><br><br> –50<br><br><br>

Express the following quantities as ordinary decimal numbers: (step by step please)

jenyasd209 [6]

Answer:

a. 0.0000009 m

b. 6,130, 000, 000

c. 100,000 light years

d. 0.00001 mm

e. 0.0000010 kg

Step-by-step explanation:

Here, we want to come from the standard form to the decimal form

In doing this, we consider the power of 10 attached

If negative, we count leftwards, if positive, we count right-wards

The number of times we count is the power of 10 attached. The count means we are moving the decimal point

For numbers with out visible decimal point, it is at the back of the most right-ward number

Thus, we have these as;

a. 9 * 10^-7

= 0.0000009 m

b. 6.130 * 10^9

= 6,130, 000, 000

c. 1 * 10^5

= 100,000 light years

d. 1 * 10^-5 mm

= 0.00001 mm

e. 10^-7

= 0.0000010 kg

8 0

3 years ago

Suppose that commercial airplane crashes in a certain country occur at the rate of 2.5 per year. what is the probability that fo

lesya [120]

The poisson distribution applies here.
$\lambda=2.5$
$P(X=4)=\frac{e^{-2.5}\times2.5^{4}}{4!}=0.134$

4 0

3 years ago

Identify the coordinates of four points on the line with each given slope and y-intercept. slope = 2/3 and y-intercept = -5

fredd [130]

The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

<h3>How to determine the coordinates?</h3>

The given parameters are given as:

Slope, m = 2/3
y-intercept, c = -5

The equation is represented as:

y = mx + c

So, we have:

y = 2/3x -5

When x = 0, we have;

y = 2/3 * 0 -5 = -5

When x = 3, we have;

y = 2/3 * 3 -5 = -3

When x = 6, we have;

y = 2/3 * 6 -5 = -1

When x = 9, we have;

y = 2/3 * 9 -5 = 1

Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

6 0

2 years ago

Suppose 300 nursing students took a certification test that is worth 100 points.

Alja [10]

Answer:

225 students scored 65 or better and 75 students scored 88 or better.

Step-by-step explanation:

We are given that The five-number summary for the scores of 300 nursing students are given :

Minimum = 40

$Q_1 = 65$

Median = 82

$Q_3 = 88$

Maximum = 100

$Q_1$ is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below $Q_1$ and about 75% lie above $Q_1$ .

$Q_3$ is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie below $Q_3$ and about 25% lie above $Q_3$

i) .About how many students scored 65 or better?

$Q_1 = 65$

Since we know that 75% lie above $Q_1$ .

So, Number of students scored 65 or better = $75\% \times 300 = \frac{75}{100} \times 300 =225$

ii)About how many students scored 88 or better?

$Q_3 = 88$

Since we know that 25% lie above $Q_3$

So, Number of students scored 88 or better = $25\% \times 300 = \frac{25}{100} \times 300 =75$

Hence 225 students scored 65 or better and 75 students scored 88 or better.

7 0

3 years ago

. Find the angles thetaθ (with respect to the positive x-axis) associated with the directions of maximum increase, maximum d

shtirl [24]

Answer:

maximum increase: 90°
maximum decrease: -90°
zero change: 0°

Step-by-step explanation:

A line or ray pointing straight upward will be pointing in the direction of maximum increase. It will make an angle of 90° with respect to the x-axis.

A line or ray pointing straight downward will be pointing in the direction of maximum decrease. It will make an angle of -90° with respect to the x-axis.

A horizontal line will be associated with zero change. It makes an angle of 0° with respect to the x-axis.

3 0

3 years ago

Evaluate –10 • x • 5 when x = –1. –50 –15 6 50