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Vlada [557]
3 years ago
6

What’s the length of the leg?

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

a = 4 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 3² = 5²

a² + 9 = 25 ( subtract 9 from both sides )

a² = 16 ( take the square root of both sides )

a = \sqrt{16} = 4

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gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple ch
timurjin [86]
The multiply choice were worth 4 points. 
Gretchen= 18x+19
Ezia= 15x+31

So basically you can enter any number. At first I picked 3 and then I did the math and I got 73 points for Gretchen and 76 points for Ezia. 

Then I pick four and then I got 91 points for them both. This is how I got the answer: 

18x+19=15x+31
18(4)+19=15(4)+31
72+19=60+31
91=91
5 0
3 years ago
Read 2 more answers
A certain change in a process for manufacture of component parts is being considered. Samples are taken using both the existing
Katyanochek1 [597]

Answer:

a) The confidence interval is 0.00\leq\pi_1-\pi_2\leq0.02.

Step-by-step explanation:

We have to calculate a confidence interval (CI) of a difference of proportions.

For the existing procedure, the proportion is:

p_1=75/1500=0.05

For the new procedure, the proportion is:

p_2=80/2000=0.04

To calculate the CI, we need to estimate the standard deviation

s=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }\\\\s=\sqrt{\frac{0.05(1-0.05)}{1500} +\frac{0.04(1-0.04)}{2000} }=\sqrt{ 0.000032 + 0.000019 }=\sqrt{  0.000051 }\\\\s=0.007

For a 90% CI, the z-value is 1.64.

Then, the CI is:

(p_1-p_2)-z*\sigma \leq\pi_1-\pi_2\leq(p_1-p_2)+z*\sigma \\\\(0.05-0.04)-1.64*0.007\leq\pi_1-\pi_2\leq(0.05-0.04)+1.64*0.007\\\\0.01-0.01\leq\pi_1-\pi_2\leq0.01+0.01\\\\0.00\leq\pi_1-\pi_2\leq0.02

6 0
3 years ago
Which is an equation in point-slope form for the given point and slope point (8 -4) slope 5/6
Alina [70]

If you want to say thank you, click the "Thanks" button and select the answer "The Brainliest!" We appreciate it!

Step-by-step explanation:

Point slope form: (y−y1) = m (x−x1), where (x1,y1) is the point, and m is the slope.

(y- (-4)) = (5/6)*(x - 8)

(y + 4) = (5/6)*(x - 8)

If you want in standard form

(y + 4) = (5/6)*x - (5/6)*8

y = (5/6) x - (5/6)*8 - 4

y = (5/6)x - (16/6)


Answer:

(y + 4) = (5/6)*(x - 8)



4 0
3 years ago
What’s the volume? For questions 2 through 9
allochka39001 [22]
2. 653.5 m^3
3. 706.9 m^3
4. 141.4 m^3
5. 2309.1 m^3
6. 402.1 m^3
7. 1900.1 m^3
8. 2001.2 m^3
9. 461.8 m^3
5 0
3 years ago
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
Ksju [112]

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

5 0
3 years ago
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