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3 years ago

Answer this equation: 4 3/5 - -3 2/5 + 3

Mathematics

2 answers:

horrorfan [7]3 years ago

6 0

Answer:

Step-by-step explanation:

$4\frac{3}{5} -(-3\frac{2}{5})+3$

Negative and another negative makes a positive.

$4\frac{3}{5}+3\frac{2}{5}+3$

Add the fractions first.

$7\frac{5}{5}+3$

5/5 is equivalent to 1. 7 5/5 becomes 8.

$8+3$

Add the numbers.

$24$

I hope this helps!

tester [92]3 years ago

3 0

4 3/5 - -3 2/5+3 =11

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Find the slope of the line that passes through (-2 1) (1 10)

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

We can find the slope using the equation y2-y1/x2-x1=m. So first, we want to subtract 1 from 10, which is 9.

Then, we subtract -2 from 1, which turns into 1+2, or 3. Then divide 9 by 3, which is 3. The slope is 3.

Hope this helps!

5 0

3 years ago

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are list

Kitty [74]

Answer:

It does not appear that, as a group, the students are reasonably good at estimating one minute.

Step-by-step explanation:

We are given the following data in the question:

75, 88, 51, 73, 49, 31, 69, 74, 72, 59, 72, 81, 99, 101, 73

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1067}{15} = 71.13$

Sum of squares of differences = 4739.733

$S.D = \sqrt{\frac{4739.733}{14}} = 18.39$

Population mean, μ = 60 minutes

Sample mean, $\bar{x}$ = 71.13 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 18.39 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 60\text{ minutes}\\H_A: \mu \neq 60\text{ minutes}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{71.13 - 60}{\frac{18.39}{\sqrt{15}} } = 2.34$

Calculating the p-value from the table, we have,

P-value = 0.034354

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, we conclude that it does not appear that, as a group, the students are reasonably good at estimating one minute.

7 0

3 years ago

Is 0.1212 repeating a rational number

Licemer1 [7]

Answer:

Yes-

Step-by-step explanation:

It repeats .121212 infinitely... I assume. You didn't say if it repeated or not.

8 0

4 years ago

Read 2 more answers

PLEASE HELP

11111nata11111 [884]

Answer:

1). The constant of variation is 7

2). w = 6 for the given values of x and y

Step-by-step explanation:

"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w. We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.

We are given one data point: y=-42 where x is 2 and w is -3. Let's put those values into our trrial expression:

y=Kxw

-42=K(2)(-3)

-42 = -6K

K = 7

<h2>The expression becames <u>y = 7xw</u></h2>

The constant of variation is 7.

The value of w for y=3 and x=(1/14) would be:

y=7xw

3 = 7*(1/14)*w

3 = (1/2)*w

7 0

1 year ago

Read 2 more answers

Avril invested $60,000 in a partnership with lane Jules Ray Ravi and petra. The total investment of all partners was 320,000 wha

laiz [17]

We have been given that Avril invested $60,000 in a partnership with lane, Jules, Ray, Ravi and petra. The total investment of all partners was 320,000.

To find percentage of the business Avril owns we will find 60,000 is what percent of 320,000.

$\text{Percentage of business that Avril owns }=\frac{60,000}{320,000}\cdot100$

$\text{Percentage of business that Avril owns }=\frac{6}{32}\cdot100$

$\text{Percentage of business that Avril owns }=0.1875\cdot100$

$\text{Percentage of business that Avril owns }=18.75$

Therefore, Avril owns 18.75% of the business.

5 0

3 years ago