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4 years ago

Is it possible to construct a triangle with side lengths of 15 inches, 17 inches, and 32 inches? Why or why not?

Mathematics

1 answer:

Umnica [9.8K]4 years ago

6 0

Answer:

Step-by-step explanation:

For a triangle to be valid the sum of any 2 of it's sides must be greater than the third side

for 15, 17, 32

15 + 32 = 47 > 17

17 + 32 = 49 > 15

15 + 17 = 32 hence not a valid triangle

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Test the null hypothesis Upper H 0 : (mu 1 minus mu 2 )equals 0H0: μ1−μ2=0 versus the alternative hypothesis Upper H Subscript a

Law Incorporation [45]

Answer:

The test statistic t is t=2.9037.

The null hypothesis is rejected.

For a significance level of 0.05, there is enough evidence to support the alternative hypothesis.

Step-by-step explanation:

The question is incomplete:

The sample 1, of size n1=25 has a mean of 1.15 and a standard deviation of 0.31.

The sample 2, of size n2=25 has a mean of 0.95 and a standard deviation of 0.15.

This is a hypothesis test for the difference between populations means.

The null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0$

The significance level is α=0.05.

The difference between sample means is Md=0.2.

$M_d=M_1-M_2=1.15-0.95=0.2$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{0.31^2+0.15^2}{25}}\\\\\\s_{M_d}=\sqrt{\dfrac{0.119}{25}}=\sqrt{0.005}=0.069$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.2-0}{0.069}=\dfrac{0.2}{0.069}=2.9037$

The degrees of freedom for this test are:

$df=n_1+n_2-1=25+25-2=48$

This test is a two-tailed test, with 48 degrees of freedom and t=2.9037, so the P-value for this test is calculated as (using a t-table):

$P-value=2\cdot P(t>2.9037)=0.0056$

As the P-value (0.0056) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

8 0

3 years ago

1. What number is 35% of 80?

Stella [2.4K]

Answer: 28

Step-by-step explanation: 80 x 0.35 = 28

6 0

2 years ago

Read 2 more answers

Simplify. 10y-5y Tfgfffgghjjjjb

sweet [91]

Its 5y sorry if it’s wrong

4 0

2 years ago

Hurry for Brainlist =Accurate Answer

cluponka [151]

Step-by-step explanation:

the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.

that means it must have the same slope but a different y-intercept.

the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).

and we see that the points with integer coordinates seem to be e.g. (3, -2).

so, for the slope (y difference / x difference between 2 points) we use this point and the origin.

x changes by +3 (from 0 to 3).

y changes by -2 (from 0 to -2).

so, the slope is -2/3. and it is always the factor of x.

let's look at the answer options :

2x + 3y = 0

3y = -2x

y = (-2/3)x

this is the identical line, so it is wrong !

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the same slope and different y-intercept.

this is the correct solution !

2x - 3y = 9

-3y = -2x + 9

y = (2/3)x - 3

wrong slope. so it is wrong !

y = 3x + 2

wrong slope. so it is wrong !

5 0

3 years ago

Josh borrowed $50,000 from the bank to buy a new truck. The bank is going to charge him an interest rate of 6.9%. If his loan la

Neko [114]

Answer:

The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100

Step-by-step explanation:

The formula for calculating simple interest is expressed as;

SI = Principal * rate * time/100

SI = 50,000 * 6.9*39/100*12

SI = 500*6.9*39/12

SI = 134,550/12

SI = 11,212.5

Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100

P is the amount borrowed

R is the interest rate

T is the time in years

8 0

3 years ago