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VLD [36.1K]
3 years ago
7

X=-2y-3 4y-x=9 determine the point of intersection of each pair of lines if one exists. ​

Mathematics
1 answer:
Drupady [299]3 years ago
8 0

Answer: (-5,1)

Step-by-step explanation:

x=-2y-3

4y-x=9

4y-(-2y-3)=9

4y+2y+3=9

6y+3=9

6y=6

y=1

x=-2y-3

x=-2-3

x=-5

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Find the volume of the cone. Round your answer to the nearest tenth.
Roman55 [17]

Answer:

<u>65.4 cubic inches</u>

Step-by-step explanation:

Formula for the volume of a cone :

<u><em>Volume (cone) = 1/3πr²h</em></u>

<u><em /></u>

=============================================================

Given :

⇒ diameter = 5 in. → radius = <u>2.5 in.</u>

⇒ height = <u>10 in.</u>

<u />

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Solving :

⇒ Volume (cone) = 1/3 × π × (2.5)² × 10

⇒ Volume (cone) = 62.5π/3

⇒ Volume (cone) = <u>65.4 cubic inches</u>

8 0
1 year ago
] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was
Bad White [126]

Answer:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

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

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0
3 years ago
Write the greatest and smallest four digit number by using 7,8,0,9 digit​
natulia [17]
0789 is the smallest
9870 is the largest
7 0
3 years ago
Solve : 2/3+(x)=3 <br> A)-4/3<br> B)-7/3<br> C)4/3<br> D)7/3
snow_tiger [21]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ugentttt <br> Identify each ratio as proportional or not to ratio 3:7
Aloiza [94]

Answer:

1. Not proportional

2. Proportional

3. Proportional

4. Not proportional

Step-by-step explanation:

A trick I used was to divide 3 by 7 and I got around 0.42.

Then I proceeded to type the fractions into the calculator to see which ones gave me 0.42.

Example: 12 divided by 28 is equal to about 0.42 so it is <u>proportional</u>

24 divided by 54 is not 0.42 so it is <u>not proportional</u>

6 0
3 years ago
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