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3 years ago

Classify the following triangle

Mathematics

2 answers:

Phoenix [80]3 years ago

8 0

The answer is c,e,a

Vinvika [58]3 years ago

3 0

Answer:

This Triangle is both D. Obtuse and E. Isosceles

Step-by-step explanation:

The Triangle shown in the question is Obtuse Triangle because it has an obtuse angle of 104° and two acute angles (less than 90°). The Triangle is also considered an Isosceles Triangle because both the left and bottom sides are of Equal Length as indicated by the small line going across them.

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How many different arrangements of 3 letters can be formed if the First letter must be W or K

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Someone claims that the average amount of time that a freshman at TAMU studies is 7 hours. We think it’s higher than that and de

Stels [109]

Answer:

Test statistic t = 5.25

P-value = 0.000002 (one-tailed test)

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Then, the null and alternative hypothesis are:

$H_0: \mu=7\\\\H_a:\mu> 7$

The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{49}}=0.29$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{8.5-7}{0.29}=\dfrac{1.5}{0.29}=5.25$

The degrees of freedom for this sample size are:

$df=n-1=49-1=48$

This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t>5.25)=0.000002$

As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

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3 years ago

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sergiy2304 [10]

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Whenever a is 1 (implied, no coefficient of x²) and the constant, c, is a multiple of numbers whose sum or difference is equal to b, factoring is much quicker and easier than using the quadratic formula.

Even when there is a coefficient of x², there are procedures to find the factors and solve for x without resorting to the quadratic formula.

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solniwko [45]

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