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3 years ago

A triangle has the following two angle measures:

Mathematics

1 answer:

Vitek1552 [10]3 years ago

5 0

Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

$41 + 77 + x = 180$

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: $118 + x = 180$

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: $x = 62$

Therefore, the third angle must have a measure of 62°.

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The independent-samples t testResearch Scenario: A forensic psychologist has developed a new program that teaches empathy and po

8_murik_8 [283]

Answer:

Step-by-step explanation:

Hello!

The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)

At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.

1) Using the records obtained for both groups, she intends to conduct an independent t-test to analyze her claim.

X₁: BES results of a youth offender treated with the new treatment.

X₂: BES results of a youth offender treated with the standard treatment.

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α:0.05

test statistic

$t_{H_0}= -0.32$

p-value: 0.7517

The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.

I hope this helps

(Box plot in attachment)

7 0

4 years ago

At the carnival, Sally purchased 20 tickets and a drink that was $4.50. Her total for everything was $44.50.

marshall27 [118]

$2 is the answer I assume

6 0

3 years ago

if a binomial event has a probability of success of 0.3, how many successes would you expect out of 2000 trials

marin [14]

multiply 2000 x 0.3 and you get 600

3 0

3 years ago

A bag contains 6 green counters, 4 blue counters and 2 red counters. Two counters are drawn from the bag at random without repla

Svetach [21]

Answer:

24.24%

Step-by-step explanation:

In other words we need to find the probability of getting one blue counter and another non-blue counter in the two picks. Based on the stats provided, there are a total of 12 counters (6 + 4 + 2), out of which only 4 are blue. This means that the probability for the first counter chosen being blue is 4/12

Since we do not replace the counter, we now have a total of 11 counters. Since the second counter cannot be blue, then we have 8 possible choices. This means that the probability of the second counter not being blue is 8/11. Now we need to multiply these two probabilities together to calculate the probability of choosing only one blue counter and one non-blue counter in two picks.

$\frac{4}{12} * \frac{8}{11} = \frac{32}{132}$ or 0.2424 or 24.24%

8 0

3 years ago

Can someone help me with my math ?

shepuryov [24]

Easy! Just substitute.

That will be 3 + 8 * 4

Remember PEMDAS? Multiplication comes before addition, so FIRT MULTIPLY.

3+ 32= 35
Final answer= 35

3 0

3 years ago