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vodka [1.7K]
3 years ago
14

A ________ is a whole number that divides another whole number with a remainder of 0

Mathematics
1 answer:
Brut [27]3 years ago
8 0

It's a factor. This concept is widely used throughout algebra, and you'll probably bump into it through the end of high school and beyond.

A common use is expressing a term in <em>prime factorization</em>, or reducing a number to its most base parts- primes. For example:

20 = 4 * 5 = 2 * 2 * 5

Of course, a number like 13 which is already prime is made up of itself and 1. <em>Factors do not have to be primes.</em> 20 is also reducible through combinations of 1, 2, 4, 5, 10, and 20. Prime factorization is just a handy example.

Basically, factors multiply with each other to create other numbers, and numbers can be reduced down to their factors.

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Plz help need help fast A rectangular prism has a length of 1 1/2 m, a width of 3 m, and a height of 5 1/2 m.
yuradex [85]
The volume is nine wholes and 3/4 or 9  3/4
6 0
3 years ago
A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen
tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the  average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

                         P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average desired retirement age = 55 years

            \sigma = sample standard deviation = 3.4 years

            n = sample of seniors = 101

            \mu = true mean retirement age of all college students

<em>Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

<u>So, 96% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.114 < t_1_0_0 < 2.114) = 0.96  {As the critical value of t at 100 degree

                                               of freedom are -2.114 & 2.114 with P = 2%}  

P(-2.114 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.114) = 0.96

P( -2.114 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.114 \times {\frac{s}{\sqrt{n} } } ) = 0.96

P( \bar X-2.114 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.114 \times {\frac{s}{\sqrt{n} } } ) = 0.96

<u>96% confidence interval for</u> \mu = [ \bar X-2.114 \times {\frac{s}{\sqrt{n} } } , \bar X+2.114 \times {\frac{s}{\sqrt{n} } } ]

                                           = [ 55-2.114 \times {\frac{3.4}{\sqrt{101} } } , 55+2.114 \times {\frac{3.4}{\sqrt{101} } } ]

                                           = [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0
3 years ago
Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
Bumek [7]

The decimal approximation for the trigonometric function sin 28°48' is

Given the trigonometric function is sin 28°48'

The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.

To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°

sin (28°48') = sin(28° ₊ (48 × 1/60)°)

= sin(28° ₊ (48 /60)°)

= sin(28° ₊ 4°/5)

= sin(28° ₊ 0.8°)

= sin(28.8°)

= 0.481753

Therefore sin (28°48') is 0.481753.

Learn more about Trigonometric functions here:

brainly.com/question/25618616

#SPJ9

5 0
1 year ago
5x+y=0 use the intercepts to graph the equation
IRINA_888 [86]
Y-intercept:  Let x = 0.  Result: 5x=0, and x= 0.  y-intercept is (0,0).
Similarly, x-int. is (0,0) (after going thru the same procedure:  set y=0 and find x)

6 0
3 years ago
What is 9m + 2 = 3m - 10
cupoosta [38]
9m+2=3m-10
subtract 3m from both sides to get:
6m+2=-10
subtract 2 from both sides to get:
6m=-12
finally, divide by 6 on both sides to get what m equals:
m=-2
7 0
3 years ago
Read 2 more answers
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