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3 years ago

Katie uses a copy machine to

Mathematics

1 answer:

galben [10]3 years ago

8 0

Answer:

Step-by-step explanation:

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The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there?

xeze [42]

Answer:

$222$ boys

Step-by-step explanation:

Let $x$ = total number of ninth graders. By knowing how many students there are in the grade, we can find for the number of boys.

$\frac{5}{6+5}x = 185$ (number of girls in ninth grade)

$\frac{5}{11}x = 185$

$x=407$

To find for the number of boys, we can use substitution:

$\frac{6}{6+5}x = \frac{6}{11}(407)$

$=222$

∴ There are $222$ boys in the class.

Hope this helps :)

8 0

2 years ago

Read 2 more answers

What should you do to both sides of the inequality in order to solve x + (-2) > 3?

lilavasa [31]

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

3 0

2 years ago

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

Darya [45]

Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

Verify sin(180degrees-0)=sin0

egoroff_w [7]

Answer:

See Explanation

Step-by-step explanation:

$sin(180-0)=sin(180)\\sin(180)=0\\sin(0)=0\\0=0$

5 0

3 years ago

Need help with a math question

ryzh [129]

Answer:

27%

Step-by-step explanation:

take the number of times it is at 2 cars (16) and divide by the number of surveyed times in total (60). multiply by 100 to show answer as a percent

3 0

3 years ago

Read 2 more answers

Katie uses a copy machine to ​

Katie uses a copy machine to