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3 years ago

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Please explain and answer correctly!! George flips a colored chip that is red on one side and black on the other a total of 20 t

imes. What is the probability of the 21th flip resulting in landing on the black side up?

2 answers:

sergejj [24]3 years ago

7 0

Answer:

The chip has no memory so the probability is just 1/2.

Lapatulllka [165]3 years ago

4 0

The answer is 1/2 because there are two sides and the other 20 flips don't matter for the 21 flip.

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3 times x minus 2/5 =8/5 what is x equal to

shutvik [7]

Translating this word problem into an algebraic equation, we get:

3x - 2/5 = 8/5.

Let's combine the constants: adding 2/5 to both sides of this equation yields

3x = 10/5, or 3x = 2.

Solving for x: x = 2/3

6 0

3 years ago

A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A

Readme [11.4K]

Answer:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=6.5$ represent the sample mean for Atlanta

$\bar X_{2}=6.7$ represent the sample mean for Chicago

$s_{1}=0.5$ represent the sample deviation for Atlanta

$s_{2}=0.7$ represent the sample standard deviation for Chicago

$n_{1}=100$ sample size for the group Atlanta

$n_{2}=110$ sample size for the group Chicago

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis: $\mu_{1}=\mu_{2}$

Alternative hypothesis: $\mu_{1} \neq \mu_{2}$

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

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

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

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3 years ago

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netineya [11]

The answer is: t<span>he triangles are not similar.</span>

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3 years ago

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What expression is equivalent to 5y^-3?

sineoko [7]

Answer:

$\frac{5}{y^{3}}$

Step-by-step explanation:

apply exponent rule:

$a^{-b}=\frac{1}{a^b}$

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3 years ago

On paper, make a rectangle that has points A and B as two of its vertices and has a perimeter of 40 units. Draw and label the tw

Westkost [7]

Answer:

$A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)$

Step-by-step explanation:

If a Rectangle has a perimeter of 40 units, then we can write that formula and find the a formula for the coordinates:

$\left\{\begin{matrix}w+l=20 & \\ w*l=100 & \end{matrix}\right.\Rightarrow w=20-l\Rightarrow (20-l)l=100\Rightarrow -l^2+20l-100=0\Rightarrow l^2-20l+100\Rightarrow (l-10)(l-10)\Rightarrow l=10\therefore l=10\: and\: w=10$

Therefore we can say:

$A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)$

Technically when $w=l$ in this rectangle is a square, a degenerate square.

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3 years ago