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Rufina [12.5K]
3 years ago
15

3.Pete has a 15-foot ladder. The safety instructions recommend he should have the base of the ladder 6 feet from the base of the

wall he will lean the ladder against. How high will the ladder reach on the wall?
Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

           -36\\

           \sqrt{189} =13.7

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Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. T
garik1379 [7]

Answer:

a) Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

This hypothesis test is a left tailed test.

b) t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784  

The p value for this case can be calculated with this probability:  

p_v =P(z  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value \mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310 and for the alternative we select < \mu_o. Then press Calculate.

And we got the same results.  

Step-by-step explanation:

Information given

\bar X=2.8 represent the sample mean

s=2.6 represent the population standard deviation  

n=1310 sample size  

\mu_o =3 represent the value to test

\alpha=0.5 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:  

Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784  

The p value for this case can be calculated with this probability:  

p_v =P(z  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value \mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310 and for the alternative we select < \mu_o. Then press Calculate.

And we got the same results.  

3 0
2 years ago
What is the slope of the function?<br> O-3<br> 0-2<br> O 3<br> O 4
MatroZZZ [7]

Answer:

3

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

   = ( 10-7)/(2-1)

   = 3/1

5 0
2 years ago
Read 2 more answers
The team is 52 yards away from a touchdown. Steve ran the football 26 yards toward the end zone, but on the next play Keith was
castortr0y [4]

Answer:

34 yards

Step-by-step explanation:

52 - 26 + 8

26 + 8

34

8 0
2 years ago
Find three consecutive integers whose sum is 558
SIZIF [17.4K]
Those are 185, 186 and 187

What you do is create this system of equations:

x+y+z=558  (three integers add up to 558)
x+1=y  (they are consecutive, so that is translated as a number+1)
y+1=z (same logic as before)

And then you just resolve that system.
8 0
3 years ago
Given the equation –2x + 3y = 18, what are the x-intercept and y-intercepts of the graph?
bogdanovich [222]
Y-intercept happens at x=0. Plug that into the equation. you'll get the y-intercept happens at (0,6). Then, to find the x-intercept y=0. Plug that into the equation. You'ff find that the x-intercept happens at (-9,0)
5 0
2 years ago
Read 2 more answers
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