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3 years ago

Circle O has tangent AB and secant AC as shown. arc BC measures 4x+2-. arc BE measures 2x-10. What is the measure of arc CB

Mathematics

1 answer:

dangina [55]3 years ago

7 0

Answer:

b. 160°

Step-by-step explanation:

angle A = (far arc - near arc)/2

far arc is arc BC and near arc is arc BE. Replacing into the equation:

∠A = (arc BC - arc BE)/2

50 = [4x + 20 - (2x - 10)]/2

50*2 = 2x + 30

x = (100 - 30)/2

x = 35°

Replacing this information into arc BC equation:

arc BC = 4(35) + 20 = 160°

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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - α)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of t is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0

3 years ago

diketahui luas permukaan kubus 864 cm2. perbandingan rusuk kubus dan p balok 3 : 4 perbandingan p l dan tinggi 4:3:2 luas permuk

Kryger [21]

S2= 864/6
s = = 12 cm
p = 4/3 x 12 = 16 cm
t = 2/4 x 16 = 8 cm
l= 3/4x 16 = 12 cm

lp= 2 (pl+pt+lt)
= 2 (16 x 12 + 16 x 8 + 12 x8)
= 2 (192+128+96) = 832cm²

3 0

3 years ago

X^2 – 5x + 6 < 0 what is the answer

Sophie [7]

Answer:

step 1: x2−5x+6<0

step2: (×-2) (+-3) =0

answer would be: 2<x<3

7 0

3 years ago

you get a 1 dollar coupon for every 3 salads you buy. What is the least number of salads you could buy to get 10 dollars in coup

miskamm [114]

Answer:

30 salads.

Step-by-step explanation:

If you can get a dollar coupon for 3 salads

You can just multiply it by 10 to get ten dollars for 30 salads

6 0

3 years ago

A two digit number is chosen at random. funny the probability that the number is less than 20

spin [16.1K]

Answer:

2/20

probability =1/10

3 0

3 years ago

Read 2 more answers