MATHEMATICS COLLEGE

How would you write the number displayed on the calculator screen in standard form

Answers

Answer 1

Answer:

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

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Having trouble with this one

Answers

Answer:

Yes

Step-by-step explanation:

If the diagonals are perpendicular, then the slope of AC will be the opposite reciprocal of the slope of BD.

The slope of AC is:

m = (3 − 3) / (6 − 0) = 0

The slope of BD is:

m = (0 − 6) / (3 − 3) = undefined

The opposite reciprocal of 0 is undefined, so the diagonals are indeed perpendicular.

Specifically, AC is horizontal and BD is vertical.

On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a test of the null hypothesis that the population average is 10? Can you reject the null at the 5% significance level?

Answers

Answer:

The test statistic is -2.5

Yes, I can reject the null hypothesis at 5% significance level.

Step-by-step explanation:

Null hypothesis: The average number of sardines in a can is 9.75

Alternate hypothesis: The average number of sardines in a can is greater than 9.75

Test statistic (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 9.75

population mean = 10

sd = 1

n = 100

z = (9.75 - 10) ÷ 1/√100 = -0.25 ÷ 0.1 = -2.5

The test is a one-tailed test. At 5% significance level, the critical value is 1.645

Conclusion:

Reject the null hypothesis because the test statistic -2.5 is less than the critical value 1.645

What is the solution to –4|–2x + 6| = –24?x = 0x = 0 or x = –6x = 0 or x = 6no solution

Answers

The correct answers are the x = 6 and x = 0.

In order to find this, we can follow the order of operations.

–4|–2x + 6| = –24

Divide by -4

|–2x + 6| = 6

Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.

-2x + 6 = 6

-2x = 0

x = 0

Now for the negative

-2x - 6 = -6

-2x = -12

x = 6

These would be your two answers.

Answer:

Step-by-step explanation:

Problem 2: Suppose that a 3 Ã 5 coefficient matrix A has a pivot in each of the three rows. If we augment A to represent a linear system, would this system have solutions (be consistent) or have no solutions (be inconsistent)? Explain your answer

Answers

i’m sorry i don’t know the answer

The line a and the plane Pi have a common point O and the angle between the line and the plane is 60 degrees. If point A belongs to the line a even though OA = 4 cm, Calculate the distance from point a to the plane Pi. Please help me.