Solve the equation for n

y=nx+m

N=?

Answers

Answer 1
Answer: n= (y-m)/x

y minus m over x

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Cos²x + sin2x - 1 = 0, 0° ≤ x ≤ 90°, tan x =​

Answers

Answer:

0 and arctan(0.5)

Step-by-step explanation:

if sin2x=2sinx*cosx and 1=sin²x+cos²x, then

cos²x+2sinxcosx-sin²x-cos²x=0;

2sinxcosx-sin²x=0; (to divide by cos²x)

2tanx-tan²x=0;

\left[\begin{array}{ccc}tan(x)=0\n tan(x)=1/2\end{array} \ => \ \left[\begin{array}{ccc}x=pi*n\nx=arctan(1/2)+pi*n\end{array} \ => \ \left[\begin{array}{ccc}x=0\nx=arctan(0,5)\end{array}

The reputation of many businesses can be severely damaged due to a large number of defective items during shipment. suppose 300 batteries are randomly selected from a large shipment; each is tested and 9 defective batteries are found. at a 0.1 level of significance, does this provide evidence that the proportion of defective batteries is less than 5%? what is the p-value for the test.

Answers

We are given with
random samples = 300 batteries
defective samples = 9 batteries
level of significance = 0.1
Using the P-table values and using the given values, we see that the number of defective batteries are really less than 5%

Share £360 in the ratio 2:7

Answers

Answer:

80:280

Step-by-step explanation:

Final answer:

To share £360 in the ratio 2:7, you first find the value of one part by dividing £360 by the total number of ratio parts (9). Then, multiply each part of the ratio by this amount, resulting in £80 and £280.

Explanation:

To share £360 in the ratio 2:7, you first need to understand that the sum of the parts of the ratio (2+7) equals to 9 parts. The amount of £360 should be distributed into these 9 parts.

First, you divide the total amount by the total number of parts:
£360 / 9 = £40.

This result £40 is the value of 1 part. To find the amounts for the ratio 2:7, you multiply each part of the ratio by the value of 1 part:

  • 2 * £40 = £80 which is the amount for the first part of the ratio, and
  • 7 * £40 = £280 which is the amount for the second part of the ratio.

Learn more about Ratios here:

brainly.com/question/32531170

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Henry needs a 16 ft. table for his family dinner. He is going to put two tables together. He has an 8ft table. How long does the other need to be?

Answers

Answer:

The other table needs to be 8ft long as well.

Step-by-step explanation:

To get to 16ft, we need to subtract the 8ft that Henry already has.

16 - 8 equals 8.

So, the other table needs to be 8 feet.

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What is the greatest common factor shared by 70 and 15?
Answer here
SUBMIT

Answers

The answer is 5
Step by step explaination

Answer:

The greatest common factor of 70 and 15 is 5.

Step-by-step explanation:

First, list the prime factors for each individual number

Next, circle each common prime factor. This means that you must find the prime factors that are the same as each other. For example, if it's 1 3 4 and 2 3 5, the common prime factor would be 3.

Finally, you must multiply all of the common prime factors. Your answer will be the greatest common factor!

So, the greatest common factor of 70 and 15 is 5.

Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematical notation, and clearly identify the claim and type of testing.

Answers

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu <2000

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu <2000

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no