Write 11×11×11×11×11×11 using an exponet

15. Which of the following is equivalent to 18 + 42

Veronika [31]

The answer would be the

6(3+7)

6 0

3 years ago

Color

Anit [1.1K]

Answer:

Yellow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. Experimental probability is found taking into account previous experiments.

In this question:

6 + 5 + 4 + 10 = 25 total marbles.

The experimental probabilities are:

6/25 probability it is red.

5/25 = 1/5 probability it is yellow. Thus, the answer is yellow.

4/25 probability it is blue.

10/25 = 2/5 probability it is green.

5 0

3 years ago

A random sample of the costs of repair jobs at a large muffler repair shop produces a mean of $127.95. and a standard deviation

lubasha [3.4K]

Answer:

$127.95-1.685\frac{24.03}{\sqrt{40}}=121.55$

$127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35$

So on this case the 90% confidence interval would be given by (121.55;134.35)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=127.95$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=24.03 represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=40-1=39$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,39)".And we see that $t_{\alpha/2}=1.685$

Now we have everything in order to replace into formula (1):

$127.95-1.685\frac{24.03}{\sqrt{40}}=121.55$

$127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35$

So on this case the 90% confidence interval would be given by (121.55;134.35)

8 0

3 years ago

Which graph represents the following system of equations y=3x+3 y=-x-3

emmasim [6.3K]

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

3 0

3 years ago

When constructing a perpendicular bisector why must the compass opening be greater than 1/2.

muminat

It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

<h3>What is perpendicular bisector?</h3>

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

Set the compass on a radius more than half the length of the line AB.
Using A as your center, draw an arc above and below line AB.
With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.
Join the two arc intersections to cut line AB at M.

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

To know more about perpendicular bisector, here

brainly.com/question/7198589

#SPJ4

4 0

1 year ago