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scZoUnD [109]
3 years ago
8

Find the value of 9y +2 given that 2y - 2 =2

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Step-by-step explanation:

2y-2=2

y=2

9y+2

=9(2)+2

=20

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4800 persons run a marathon, 1200 reach the finish line. What is the percent of people reach the finish line at the marathon?
Ket [755]

Answer: 25%

Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio

1200:4800

then make that into a fraction, 1200/4800

then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.

for example. p/100 (p, represents the percent)

then cross multiply.

1200x100=1200000

Last divide 1200000 by 4800 to get 25%.

7 0
2 years ago
Which lines are parallel to 8x + 2y = 7?
Ede4ka [16]

Answer:

8x + 2y = 7

2y = -8x + 7

y = -4x + 7/2; this line has slope equal -4

Parallel lines, slope is the same so slope of parallel line is also -4

A. y − 1 = 4(x + 8); slope m = 4....FALSE

B.    y = −4x + 15;  slope m = - 4....TRUE

C. 16x + 4y = 9;  4y  = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE

D. y = −4x; slope m = - 4....TRUE

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST A jewelry box is in the shape of a right rectangular prism with a length of 8.25 cm, a width of 5.5 cm, and
Aleksandr [31]
Step 1: find the area of the base
A=l*w = 8.25*5.5 = 45.375

Step 2: find the perimeter of the base 
P=2l+2w = 2(8.25) + 2(5.5) = 16.5 + 11 = 27.5

Step 3: find the surface area of the prism
SA=2A+Ph = 2(45.375) + 27.5(4.5) = 90.75 + 123.75 = 214.5


Hope this helps
8 0
3 years ago
Read 2 more answers
The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st
Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

2 = 2.575*\frac{7.8}{\sqrt{n}}

2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

n = 100.85

Rounding up

We need a sample size of at least 101

8 0
3 years ago
Read 2 more answers
Do male and female servers work the same number of hours? A sample of 25 female servers worked an average of 26 hours per week,
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Given that

Group   Group One     Group Two  

Mean       26.00 23.00

SD                 2.00 4.00

SEM         0.40 1.21

N                     25     11    

where group I represents female servers and group II male servers.

We have to calculate confidence interval for 90% for difference in means

The mean of Group One minus Group Two equals 3.00

df = 34  

 standard error of difference = 0.993

t critical = 2.034 for 90% df 34

Hence confid. interval at 90%

=Mean diff ±2.034 * std error of diff

= (0.98, 5.02)

5 0
3 years ago
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