Round 668294.018492 to the nearest hundred.

We know that an obtuse triangle is a triangle whose one angle is a obtuse angle ( i.e. the measure of the angle is greater than 90 degree and less than 180 degrees).

A)

A: all three angles have equal measures

Let the angle of a triangle be 'x'.

As we know that the sum of all the angles of a triangle is 180°.

This implies that:

x+x+x=180°

3x=180°

⇒ x=60°

Hence, the triangle will not be obtuse as none of the angle is obtuse.

Hence, option: A is incorrect.

B)

possible angle measures of the triangle are 92, 48, and 40.

This option is correct.

Since there is one angle which is obtuse ( measure 92 degree)

and also such a angle measure is possible in a triangle as sum of all the angles is 180°.

( since 92+48+40=180°)

C)

two of the angles are equal, and the third angle has a measure of 70.

Let the equal angles be represented by 'x'.

As the sum of all the angles is 180°.

⇒ x+x+70=180°

⇒ 2x=110°

⇒ x=55°

Hence, here also none of the angle is obtuse.

hence, option: C is incorrect.

D)

One angle has a measure of 90, while, the other two angles measure less than 90°.

Such a triangle will not be a obtuse triangle as none of the angle measure is greater than 90°.

Hence, option: D is incorrect.

4 0

3 years ago

The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your

seropon [69]

Answer:

Percent increase is 17.6%

We still have to pay 7.50 with the coupon

Step-by-step explanation:

Percent increase = (new- original)/original *100%

= (10-8.5)/8.5 * 100%

= 1.5/8.5 * 100%

= 17.6470588%

Round to the nearest tenth

17.6%

This is an increase since the cost went up.

If we have 25% off, we still have to pay (100%-25%) = 75%

10 *.75 = 7.50

We still have to pay 7.50 with the coupon

6 0

4 years ago

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