All categories

3 years ago

The sum of two numbers is 23. One number is 9 more than the other. Find the numbers.

Mathematics

1 answer:

forsale [732]3 years ago

5 0

Answer:

the two numbers i think are 16 and 7.

Step-by-step explanation:

this is bc 16 - 7 is 9, and 16 + 7 is 23

You might be interested in

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

3 years ago

Fill in the Blank:

arsen [322]

Answer:

The exponent of the second term (b) starts with 0 (b0 = 1) and then increases by one in each following term until it is equal to the exponent of the binomial (5).

Step-by-step explanation:

6 0

3 years ago

What is the value of t in this equation?

anygoal [31]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can someone give me two examples where Canadians still use the imperial system as a form of measurement?????

Nataly [62]

Remark

Acres is one example. 640 acres = a square mile. A mile is also a carryover from the imperial system. When Canada transferred over to the metric system, they found that the old system had to stay in place, otherwise all the surveying would have to be redone. There are two examples in this paragraph, but here's another as a bonus.

The Car dealerships in Canada still use the Imperial Gallon to describe how many miles per gallon you might get with the particular car you are looking at. When we bought our Honda Fit, the dealership told us we would get 50 miles / gallon, and they were not lying. It get's a little less now but we are doing more city driving. And who knows what additives are put in the gasoline. The reason the dealerships do this is because the Imperial Gallon is larger than a US gallon. So for every gallon burned you get more miles with an imperial gallon than you do with a US gallon. That's why you learn to convert. Can't let people trick you.

Answers

Acres and miles when speaking of land

Imperial Gallons when speaking of millage.

6 0

3 years ago

HELP PLS AND EXPLAIN:

katovenus [111]

C.infinitely many solutions

3 0

3 years ago