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My name is Ann [436]
3 years ago
6

3x - 6 less than or equal to -3 on a graph

Mathematics
1 answer:
g100num [7]3 years ago
4 0
I believe that -3 is less than 3x-6 because if you look at their graph -3’s graph is below 3x-6 graph
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Look I have like barely any points can someone help answer this tho
MariettaO [177]

Answer:

3.5

Step-by-step explanation:

These are similar triangles.

BC:AC = BD:AD

6:5  is the ratio.

Then, simply multiply:

4.2 x 5/6 = 3.5

So, x = 3.5!

5 0
3 years ago
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 5 seconds?
garri49 [273]

Answer:

90 m

Step-by-step explanation:

65 km = 65000m

1 hour = 3600 secs

speed in meters = 65000/3600

= 18 m / sec

Distance traveled in 5 secs = 18*5

= 90 m

5 0
3 years ago
A sample of 114 mortgages approved during the current year showed that 36 were issued to a single-earner family or individual. T
kodGreya [7K]

Answer:

a-1) Reject H0 if zcalc > 1.645

a-2) z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

a-3) ii. False

b) ii. No

c) iii. n π > 10 and n(1 − π ) > 10

Step-by-step explanation:

1) Data given and notation

n=114 represent the random sample taken

X=36 represent the people that were issued to a single-earner family or individual

\hat p=\frac{36}{114}=0.316 estimated proportion of people that were issued to a single-earner family or individual

p_o=0.28 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:  

Null hypothesis:p\geq 0.28  

Alternative hypothesis:p < 0.28  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

The rejection zone would be on this case :

Reject H0 if zcalc > 1.645

Since is a right tailed test

(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

(a-3) The null hypothesis should be rejected.

False, since our calculated value is less than our critical value we Fails to reject the null hypothesis

(b) Is this a close decision?

False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.

(c) State any assumptions that are required.

In order to satisfy the conditions we need the following two requirements:

iii. n π > 10 and n(1 − π ) > 10

And are satisfied:

114*0.28=31.92>10

114(1-0.28)=82,08>10

7 0
3 years ago
2,6,12,20 Generalize the pattern by finding the nth term. A) 2n B) n2 + n C) 3n - 1 D) (n + 1)(n + 2)
Anna007 [38]
<span> Position Value of Term. 1. 4. </span>2<span>. 8. 3. </span>12<span>. 4. 16. 5. </span>20<span>. What expression shows the ... 1 1. </span>2<span> -5. </span>3 1<span>. 4 -5. 5 1. </span>B). n an<span>. 1 </span>2<span>. </span>2<span> 8. 3 14. 4 </span>20<span>. 5 26. </span>C). n an<span>. 1 </span>2<span>. </span>2<span> -</span>2<span>. 3 -10. 4 -26 ... </span>Generalize<span>the </span>pattern<span> by </span>finding<span> an explicit formula for the </span>nth term<span>. A) </span>n2<span> + 5. </span>B<span>). 3n + 1. </span>C<span>). </span>2n<span> + 5. </span>D). (n<span> + </span><span>1)</span>
5 0
3 years ago
Help the question is in the picture
Vera_Pavlovna [14]

Answer:

two

Step-by-step explanation:

due to the cordnets of eqation

6 0
2 years ago
Read 2 more answers
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