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3 years ago

Solve the following equation: 6x-3= 5x-5

Mathematics

1 answer:

Ilya [14]3 years ago

6 0

Answer:

-3.66

Step-by-step explanation:

6x-3=-25

6x=-22

X=-3.66

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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

Aaron says that all

Softa [21]

Answer:

Step-by-step explanation:

Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.

to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula $\pi r^2$ . Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula $\pi rl$ .

Now the surface area of the cone is circumference of the circle plus area of the cone part.

i.e. $surface\ Area\ of\ the\ cone=\pi r^{2}+\pi rl$

From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus all cones with a base circumference of 8 inches will not have the same surface area.

5 0

3 years ago

Classify the following triangle. Check all that apply

Alinara [238K]

Answer:

I think its B and E

Step-by-step explanation:

Hope it helps

8 0

3 years ago

Evaluate the expression.

Zinaida [17]

Answer:

-2(10(-4))²

-2(-40)²

-2 × 1600

= -3200

6 0

2 years ago

Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 doll

Vlad1618 [11]

Answer:

The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.

Step-by-step explanation:

C(x) =60x + 14

434 = 60x + 14

-14 -14

420 = 60x

/60 /60

7 = x

x = 7 days

3 0

3 years ago

Read 2 more answers