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il63 [147K]
4 years ago
13

If g represent greg's age and his daughter is 4 years less than one half his age , then write an expression for his daughter's a

ge in terms of the variable g.
Mathematics
1 answer:
skelet666 [1.2K]4 years ago
5 0
(g÷2)-4= his daughters age
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- 2/5(20x -15) can you plz help me
Alex17521 [72]

Answer:

Step-by-step explanation:

First I just made -2/5 into a decimal because I like to work with decimals better (which equals -.4)

Then I times everything separately in the parenthesis and got -8x+6

Next you move the 6 over to the left side of the equals sign which would make the equation be -6 = -8x

Lastly you divide the -8 from -6 and you get X = 3/4

7 0
3 years ago
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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope
elena55 [62]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the average life of light bulbs.

As per given , we have

Null hypothesis : H_0 : \mu =5400

Alternative hypothesis : H_a : \mu >5400

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=95,\ \overline{x}=5483\ \&\ \sigma=500, we have

z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180

Using z-value table , Critical one-tailed test value for 0.06 significance level :

z_{0.06}=1.5548

 Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0
3 years ago
When Deven makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup Here is a table that shows how to
Rzqust [24]

Answer: 1.5

Step-by-step explanation:

6 0
3 years ago
James has 3 pairs of running shoes for every 4 pairs of basketball shoes. If he has 12 pairs of basketball shoes, how many pairs
GaryK [48]
If James has 12 pairs of basketball shoes, then the ratio would be 3:4 which would stop at 3:12. Then the individual ratios would be 3:4, 6:8, and 9:12

So James has 9 pairs of running shoes
7 0
3 years ago
Jenny is displaying her photographs
Inga [223]

Answer:

A) 9 photos in each row

B) 14 rows in total

Step-by-step explanation:

Photos of People = 45

Photos of Landscapes = 18

Photos of Pets = 63

Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.

By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.

So,

There will be:

45/9 = 5 rows with photos of people

18/9 = 2 rows of photos of landscapes

63/9 = 7 rows of photos of pets

So, total number of rows would be = 5 + 2 + 7 = 14 rows

3 0
3 years ago
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