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3 years ago

In Practing Partial Products Multiplictaion What im Going to do to 65 × 32 ?

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:

2080

Step-by-step explanation:

<u>Step 1: Multiply</u>

65 × 32

60*30 + 60*2 + 5*30 + 5*2

1800 + 120 + 150 + 10

2080

Answer: 2080

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(1 point) Suppose we want a 95% confidence interval for the average amount spent on books by freshmen in their first year at col

Ne4ueva [31]

Answer:

a) $n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

b) For this case if we see the formula for the margin of error

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

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".

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

$\mu$ population mean

$\sigma=16$ represent the population standard deviation

n represent the sample size

Solution to the problem

Part a

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

Part b

For this case if we see the formula for the margin of error

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

5 0

3 years ago

X(x – 4) and x2 - 4x define the same function.

ycow [4]

Answer:

Yes, because $x(x -4)$ is equivalent to $x^2-4x$

Step-by-step explanation:

$x(x -4)$ and $x^2-4x$

$x(x -4) = x^2 - 4x$

Hope this helps!

5 0

2 years ago

You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

igomit [66]

Answer: To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2. First answer, 3^2+5^2=c^2. Solve for c. c=5.83. The second answer, 3^2+b^2=5^2. Solve for b. b=4.

5 0

3 years ago

When we graph a line using slope and y-intercept, the first point that you graph is

k0ka [10]

Answer:

y=mx+b is the formula starting with b say it is 4 you put a dot on 4 on the y axis m is 1/2 you go up 1 right 2 on the 4 points then do the same on the next point you get then you get your line. hope this helps

4 0

2 years ago

What is the solution to (x+6)(x+2)=60

Citrus2011 [14]

Distribute to eliminate the parenthesis

x^2 + 2x + 6x + 12 = 60

Combine like terms

x^2 + 8x + 12 = 60

Subtract 60 from both sides

x^2 + 8x - 48 = 0

Factor the equation

(x+12)(x-4)=0
x+12=0
x+4=0

x= -12 and -4

5 0

3 years ago

In Practing Partial Products Multiplictaion What im Going to do to 65 × 32 ?​

In Practing Partial Products Multiplictaion What im Going to do to 65 × 32 ?