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2 years ago

1. What is the sum of 1/9, 2/3, and 5/18? O A. 30 O B. 12/9 O C. 19/18 O D. 4/15

Mathematics

1 answer:

Serhud [2]2 years ago

6 0

Answer:

C. 19/18

Step-by-step explanation:

$\frac{1}{9} + \frac{2}{3} + \frac{5}{18 } = \frac{2}{18} + \frac{12}{18} + \frac{5}{18} = \frac{19}{18}$

So the answer is C. 19/18

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Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 t

Yanka [14]

Answer:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of scissors selected for each friend

$\hat p=\frac{X}{n}$ estimated proportion of scissors selected for each friend

$p_o=\frac{1}{3}=0.333$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:

Null hypothesis: $p\geq 0.333$

Alternative hypothesis: $p < 0.333$

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 $p_o$ .

Calculate the statistic

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

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

6 0

4 years ago

45 times; 55 times; 2.5’ deep

katovenus [111]

Answer:

45 times 55 times 2.5. is 6187.5

4 0

4 years ago

Farmer has to transport a fox, a chicken, and a sack of corn across a river. she can carry only one item at a time. if left toge

vagabundo [1.1K]

Step by step guide
1)carry the chicken over and put it there
2) farmer cross alone to carry the corn over and carry the chicken back
3) put the chicken there and carry the fox to put there with th3 corn
4) go back to get the chicken

6 0

3 years ago

What is the area of the figure to the nearest tenth?

pantera1 [17]

Area of a sector (s) = radius (r) · θ (in radians)

First, convert 168° into radians using the proportion π = 180°
$\frac{ \pi}{180} = \frac{x}{168}$
$\frac{168\pi }{180} = x$
$\frac{14 \pi }{15} = x$

Next, plug in x for θ
s = r · θ
   = 8 · $\frac{14 \pi }{15}$
   = $\frac{112 \pi }{15}$
   = 23.457
   ≈ 24.0

Answer: C

3 0

3 years ago

Solve this showing work. worth 50 points

goldfiish [28.3K]

Answer:

10. X=3

11. FG=15

12. QS=34

Hope this helps

Step-by-step explanation:

10. 8x+11=12x-1

8x-12x=-1-11

-4x=-12

x=3

11. 11x-7=3x+9

11x-7=-9+7

8x=16

x=2

Substitute the (x)

11(2)-7 =15

12. 5x-3=21-x

5x+x=21+3

6x=24

x=4

Substitute the (x)a

5(4)-3=17

21-(4)=17

17+17=34

6 0

3 years ago