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3 years ago

5

How do you solve 7 1/5-6 2/5

1 answer:

iris [78.8K]3 years ago

3 0

7 + 1 2/6 2/5 hope this kinda helps :3

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Need the answer to 2. 3. 7. 8. please help! Really confused on how to do this.

Oduvanchick [21]

2. $\overline{SV}||\overline{TU}$ (this is given in the first sentence)

3. $\angle XSV\cong\angle XUT$ and $\angle XVS\cong\angle XTU$ due to ...

7. ... the alternate interior angles theorem (which holds because $\overline{ST}$ and $\overline{TU}$ are parallel)

8. Because the above establishes that $\Delta SXT\cong\Delta UXV$ , which means $\overline{ST}||\overline{UV}$ , which in turn means $VUTS$ is a parallelogram.

4 0

3 years ago

Find the coordinates of P so that P partitions the segment JK in the ratio 4 to 1 if (-2,5) and K (2, -3).

worty [1.4K]

The answer would be 2

3 0

3 years ago

What is an equation of the line that passes through the points (-3, 8) and (4, 1)?

butalik [34]

Answer:

The equation of the line is:

$y=-x+5$

Step-by-step explanation:

Given the points

(-3, 8)

(4, 1)

Finding the slope between the points

$\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{1-8}{4-\left(-3\right)}$

$m=-1$

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values m = -1 and the point (-3, 8)

$y-y_1=m\left(x-x_1\right)$

$y-8=-1\cdot \left(x-\left(-3\right)\right)$

$y-8=-\left(x+3\right)$

Add 8 to both sides

$y-8+8=-\left(x+3\right)+8$

$y=-x+5$

Therefore, the equation of the line is:

$y=-x+5$

8 0

2 years ago

A random sample of 15 employees was selected. The average age in the sample was 31 years with a variance of 49 years. Assuming a

vova2212 [387]

Answer:

Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].

Step-by-step explanation:

We have to construct a 98% confidence interval for the mean.

The information we have is:

- Sample mean: 31

- Variance: 49

- Sample size: 15

- The age is normally distributed.

We know that the degrees of freedom are

$k=n-1=15-1=14$

Then, the t-value for a 98% CI is t=2.625 (according to the t-table).

The standard deviation can be estimated from the variance as:

$s=\sqrt {s^2}=\sqrt{49}=7$

The margin of error is:

$E=t_{14}*s/\sqrt{n}\\\\E=2.625*7/\sqrt{15}=18.375/3.873=4.7$

Then, the CI can be constructed as:

$M-t*s/\sqrt{n}\leq\mu\leq M+t*s/\sqrt{n}\\\\31-4.7\leq \mu \leq 31+4.7\\\\26.3\leq \mu \leq 35.7$

5 0

3 years ago

ASAP how many solutions are there for the system of equations shown on the graph?

Olin [163]

Answer: Infinitely many solutions

Step-by-step explanation:

The lines is on top of each other so this makes it many solution.

It can't be NO solution because the lines are not parallel to each, which means they will not intersect.

It can't be one solution because the lines doesn't intersect.

It can't be two solutions because the lines never intersect and they never intersect twice either.

5 0

3 years ago

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