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2 years ago

A number is 120 less than 965. Find the number.

Mathematics

2 answers:

Firdavs [7]2 years ago

8 0

Answer:

845

Step-by-step explanation:

We are looking for a new number which is 120 less than 965.

We will get the new number by subtracting 120 from 965.

We write it down as:

965-120=845

And finally the solution for: What number is 120 less than 965?

is 845

Have a good day :)

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Lady bird [3.3K]2 years ago

3 0

Answer:

845

Step-by-step explanation:

I think that's what it's asking??

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Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep

Viktor [21]

Answer:

Consistent and dependent

Step-by-step explanation:

We are given the following equation:

1. $3x+6y-12z=36$

2. $x+2y-4z=12$

3. $4x+8y-16z=48$

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with $x+2y-4z=12$ which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

6 0

3 years ago

Find the equation of the line. Use exact numbers.

Taya2010 [7]

Slope intercept form: y = mx + b

m = slope

b = y-intercept

The line passes through the y-axis at the point (0, -5). So, -5 is the y-intercept.

We can use the points (0, -5) and (5, 0) to solve.

Slope formula: y2-y2/x2-x1

0-(-5)/5-0)

5/5

The slope is 1.

Substitute these values into the equation.

y = 1x + (-5)

y = x - 5

Therefore, the answer is [ y = x - 5 ]

Best of Luck!

6 0

3 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

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:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

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

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0

3 years ago

The angles represented by the expressions (2x+46) and (3x-6) are complementary angles. find the measure of the larger angle. Im

ivolga24 [154]

Answer:

Step-by-step explanation:

complimentary angles add up to 90 so:

3x-6 + 2x +46 = 90

5x +40 = 90

5x = 50

x = 10

2(10)+46 = 66

3(10) - 6 = 24

8 0

3 years ago

Read 2 more answers

If tan theta= 15/8, then:

Maurinko [17]

Hello there!

The only thing we have to do here is remember our trigonometric functions!

sin=y/r
cos=x/r
tan=y/x
sec=r/x
csc=r/y
cot=x/y

Knowing that tanᎾ=15/8, we know that y=15 and x=8

Now we need to look at the answer choices and see if they are correct.

A. secᎾ=17/8
Since secᎾ=r/x and r=17 and x=8, this is correct.

B. cosᎾ=15/17
Since cosᎾ=x/r and x=8 and r=17, this is wrong.

C. cotᎾ=8/15
Since cotᎾ=x/y and x=8 and y=15, this is also correct!

D. cscᎾ=17/15
Since cscᎾ=r/y and r=17 and y=15, this is right too.

I really hope this helps!
Best wishes :)

5 0

3 years ago

Read 2 more answers

A number is 120 less than 965. Find the number.​

A number is 120 less than 965. Find the number.