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2 years ago

Which statements are true regarding the diagram? Check all that apply.

Mathematics

2 answers:

gulaghasi [49]2 years ago

6 0

Answer:

2, 4, 6

B, D, F

Step-by-step explanation:

Ray C E is contained on line m.

Ray AD is the same as ray AC.

∠ECB is created from Ray C E and Ray C B.

Vesnalui [34]2 years ago

5 0

Answer:

2.CE is contained on the line m.

4.Ray AD is the same as ray AC.

6.Angle ECB is created from CE and CB.

Step-by-step explanation:

We are given that a diagram .

We have to find which statement are true about the given diagram.

1.CB is contained on the line n.

CB is not contained on the line n because point C and B are not lying on the line n.

Therefore, it not true.

2.CE is contained on the line m.

CE is contained on the line m because point C and E are lying on the line m.

Therefore, it is true.

3.Ray BC is the same as ray CB.

A ray has one initial point and has no terminal point.It can extend to infinity .

Ray CB has initial point C and it extends from the point B.

But there is no BC ray.

Therefore, it is not true.

4.Ray AD is the same as ray AC.

AD is a ray but AC is also

AD and AC are same because both have initial point A and extend in the same direction.

5.Angle EAD is created from AE and DA.

It is not true because angle EAD is formed by ray AE and ray AD not ray DA.

6.Angle ECB is created from CE and CB.

It is true because angle ECB is formed by ray EC and ray BC.

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Answer:

Original sum of money = $2246.51

Step-by-step explanation:

Interest = $96.60

Interest is compounded 6 times in a year ; n = 6

time = 1 year ; Rate of interest (r) = 4.2%

Interest = Future Value - Principal Value ...........(1)

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2 years ago

At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion ring

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Answer:

3x + 6y

x = sliders

y = onion rings

Step-by-step explanation:

2:1 ratio of onion rings to sliders, add them 200+70+70 = 340,

then 1020/340 = 3, then input into an equation remembering the ratio of onion rings to sliders

7 0

2 years ago

An experiment was performed to compare the wear of two different laminated materials. Twelve pieces of material 1 were tested by

GenaCL600 [577]

Answer:

At 0.05 level of significance, the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

Step-by-step explanation:

We hypothesize that mean difference between abrasive wear of material 1 and material 2 is greater than 2.

So we write the null hypothesis $H_0 : \mu_1 - \mu_2 >2$ ,

and the alternative hypothesis $H_1: \mu_1 - \mu_2 \leq 2$ .

We will find the T-score as well as the p-value. If the p-value is less than the level of significance, we will reject the null hypothesis, i.e. we will conclude that the abrasive wear of material 1 is less than that of material 2. Otherwise, we will accept the null hypothesis.

Since the variance is unknown and assumed to be equal, we will use the pooled variance

$s_p^2 = \frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2} = 20.05$ ,

where $n_1 = 12, n_2 =10, s_1 =4, s_2 = 5$ .

The mean of material 1 and material 2 are $\mu_1 =85, \mu_2=81$ respectively and mean difference $d$ is equal to 4. The hypothesize difference $d_0$ is equal to 2.

To find the T-score, we use the following formula

$T = \frac{d - d_0}{\sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2} }}$

Substituting all the values into the T-score formula gives us $T = 1.04$ , and the respective p-value is equal to 0.31. This means we have enough statistical evidence not to reject the null hypothesis, and at 5% significance level, the abrasive wear of material 1 exceeds that of material 2 by more than 2 units.

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2 years ago

Lincoln Junior High School asked all of their eighth grade students the question, “What is your favorite breakfast?” and 18 perc

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Answer:

I hope this image and explanation helps you!

Step-by-step explanation:

All students in the eighth grade were surveyed, so we can make the valid conclusion that 18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast.

However, the question did not ask about the students' favorite meal of the day, so we cannot draw any valid conclusions about the students' favorite meal.

The valid conclusion:

18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast, but we cannot conclude anything about the percent of the population who have breakfast as their favorite meal.

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2 years ago

Write the perimeter of the floor plan shown as an algebraic expression in x.

Nimfa-mama [501]

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Answer: 2x + 15

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2 years ago