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3 years ago

Change 1/4 to a decimal, then a percent. 0.25, 2.5% 2.5, 25% 0.25, 0.25% 0.25, 25%

Mathematics

2 answers:

777dan777 [17]3 years ago

6 0

1/4 to a decimal 0.25
to a percent is 25%

Viefleur [7K]3 years ago

4 0

Answer: The correct option is (D) 0.25, 25%.

Step-by-step explanation: We are given to change $\dfrac{1}{4}$ to a decimal and then to a percent.

We have

$\dfrac{1}{4}=0.25.$

And, to convert into percent, we must multiply a number by 100%.

Therefore, the percent form of the given number is

$\dfrac{1}{4}=\dfrac{1}{4}\times 100\%=25\%.$

Thus, the decimal form is 0.25 and the percent form is 25%.

Option (D) is CORRECT.

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4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep

bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.92}{2} = 0.04$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.04 = 0.96$ , so Z = 1.88.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that $\sigma = 2.2$

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1 = 1.88\frac{2.2}{\sqrt{n}}$

$\sqrt{n} = 1.88*2.2$

$(\sqrt{n})^2 = (1.88*2.2)^2$

$n = 17.1$

Rounding up:

A sample of 18 is required.

3 0

3 years ago

Solve the following system of equations: y=2x + 1 y = -x+4 x= ? y=?

patriot [66]

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1, add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

4 0

3 years ago

PLS HELP I WILL GIVE YOU A BRAINLIST AND A THANK YOU!!!!

kramer

Answer:

Step-by-step explanation:

We have a 90 degree angle and a 15 degree angle that add up to 105. The angle that is missing can be found by doing 180 - 105 = 75 (since it's a straight line). X is vertical from the 75 degree angle, so 75 is your answer.

6 0

3 years ago

Read 2 more answers

The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

navik [9.2K]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
\\
\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
\\
\Rightarrow C=\left ( -4.1, \ -2.5 \right )$

Coordinates of the point C is: (-4.1, -2.5)

5 0

3 years ago

Y = 4-x in standar form?

vichka [17]

X + y = 4
Is how you would write it in standard form.

8 0

3 years ago