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3 years ago

Write the following in standard form. Show all work. 5x – (-2+11x)

Mathematics

1 answer:

Umnica [9.8K]3 years ago

5 0

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The point P(-6, -6) is reflected over the x-axis. What are the coordinates of the resulting

Fed [463]

Answer:

It would be (6,-6)

Step-by-step explanation:

Hope this helps.

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3 years ago

If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, t

Stels [109]

In general, this would be a ratio. However, if the ratio is the number of items with specific characteristic to the total number of elements, then this would be a probability. The dividend is the numerator, and the divisor is the denominator. For example, if there are 5 white balls out of 6 balls, the probability of getting a white ball would be 5/6. The dividend here is 5.

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3 years ago

Given the following information about a hypothesis test of the difference between two means based on independent random samples,

HACTEHA [7]

Answer:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

Step-by-step explanation:

Data given:

$n_1 =13$ represent the sample size for group 1

$n_2 =10$ represent the sample size for group 2

$\bar X_1 =12$ represent the sample mean for the group 1

$\bar X_2 =9$ represent the sample mean for the group 2

$s_1=5$ represent the sample standard deviation for group 1

$s_2=3$ represent the sample standard deviation for group 2

We are assuming two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

And the statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

The pooled variance is given by:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

4 0

4 years ago

If 1cm on a map represents 37 1/2 km what does a length of 2/5cm on the map represent

inna [77]

Answer:

Step-by-step explanation:

$37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15$

3 0

3 years ago

-102.75 / -3 <br> Round to nearest tenth

Reil [10]

Answer: To approximate a number to the nearest tenth you have to look at the hundredths digit. If it is 5 or more you have to add 1 to the tenths digit, else if it is lower than 5 you leave the tenths digit unchanged.

Step-by-step explanation:

6 0

3 years ago

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