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1 year ago

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If lines BG↔ and CF↔ are parallel, then the supplement of ∠BIE≅ the supplement of ∠GMD. Is this statement correct? Explain your

answer.Youoll get brainliest

1 answer:

777dan777 [17]1 year ago

3 0

Answer:

Yes it is correct because the corresponding lines are all together.

sorry if i was wrong this is how i did mine and got 100% on the question.

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1. A magazine advertise its $12 annual subscription price 70% off the newsstand price. What is the number of dollars per year a

ollegr [7]

1. $17.14

12 represents 70%
x represents 100%

rule of three

Price Percentage
+12 70-
-x 100+

$x= \frac{12*100}{70} 
 \\ \\
x= \frac{12*10}{7} 
 \\ \\ x=17.14$

3 0

1 year ago

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean ti

ser-zykov [4K]

Answer:

a) Null hypothesis: $\mathbf{H_0 : \mu \leq 15}$

Alternative hypothesis: $\mathbf{H_1 = \mu > 15}$

b) the test statistics is : 2.15

c) The p-value is 0.0158

d) NO, there is evidence that the mean time of telephone survey is less than 15 and premium rate is not justified.

Step-by-step explanation:

The data in the Microsoft Excel are:

17;11;12;23;20;23;15;

16;23;22;18;23;25;14;

12;12;20;18;12;19;11;

11;20;21;11;18;14;13;

13;19; 16;10;22;18;23.

a) Formulate the null and alternative hypotheses for this application.

From the question, Fowle Marketing Research Inc. is taking base charge from a client on the given assumption that if the mean time of telephone survey is 15 minutes or less.

The null and alternative hypotheses are therefore as follows:

Null hypothesis: $\mathbf{H_0 : \mu \leq 15}$

The null hypothesis states that there is evidence that the mean time of telephone survey is less than 15 and premium rate is not justified.

Alternative hypothesis: $\mathbf{H_1 = \mu > 15}$

The alternative hypothesis states that there is evidence that the mean time of telephone survey exceeds 15 and premium rate is justified.

b) Compute the value of the test statistic.

Given that:

$\mu = 15$

$\sigma = 3.6$

n = 35

The sample mean $\bar x = \dfrac{ \sum x}{n}$ is;

$\bar x = \dfrac{ 17+11+12 ... 22+18+23}{35}$

$\bar x = 17$

Thus:

$z = \dfrac{ \bar x - \mu }{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{ 17 - 15}{\dfrac{3.6}{\sqrt{15}}}$

$z = \dfrac{ 2}{0.9295}}$

$\mathbf{z =2.15}$

Thus; the test statistics is : 2.15

c) What is the p-value?

p-value = P(Z > 2.15)

p-value = 1 - P(Z ≤ 2.15)

From the standard normal table, the value of P(Z ≤ 2.15) is 0.9842

p-value = 1 - 0.9842

p-value = 0.0158

The p-value is 0.0158

d) At a = .01, what is your conclusion?

According to the rejection rule, if p-value is less than 0.01 then reject null hypothesis at ∝ = 0.01

Thus; p-value = 0.0158 > ∝ = 0.01

By the rejection rule, accept the null hypothesis.

Therefore, there is evidence that the mean time of telephone survey is less than 15 and premium rate is not justified.

4 0

2 years ago

The proof diagram to complete the question state the missing reason in the proof for the letter given

melisa1 [442]

ANSWER

First proved that line p is parallel to line r

to proof

As given in the question

∠1 ≈∠5

∠1 and ∠5 are corresponding angles

by using the property of the corresponding angles

two lines are cut by a transversal so that the corresponding angles are

congruent, then these lines are parallel.

As shown in diagram q is transversal line.

Thus by using the above property

line p is parallel to line r.

proof of 1(a)

REASON

Vertically opposite angle

The pair of angles formed when two lines intersect each other are called vertically opposite angles.

Thus

∠4 and ∠1 are vertically opposite angle

thus

∠4 ≈∠ 1

proof of 2(b)

REASON

Alternate interior angle

the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .

as line p is parallel to line r (proof above)

q is transversal

thus

∠4 ≈∠ 5

Hence proved

proof of 3 (c)

As ∠4 ≈∠5 (proof above)

REASON

If two lines are cut by a transversal so that the alternate interior angles

are congruent, then these lines are parallel.

Thus by above property

line p is parallel to line r

Hence proved

4 0

2 years ago

Read 2 more answers

George wants to buy a $200 bike by the end of the summer. He decides to do odd jobs to earn the money for the bike. He mows lawn

noname [10]

If George mowed 10 lawns at $10, (10*10=100). He made $100 from that. He washed 8 cars at $8 a car, (8*8=64). He made $64 from that. Then he waxed 6 cars at $4 a car, (6*4=24). He made $24 from that. So 100+64+24=188; then you subtract 188 from 200; which leaves $12 more that he will need.

6 0

2 years ago

Read 2 more answers

A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the s

Lady bird [3.3K]

<span>Which expression can be used to determine the side length of the rhombus?

The answer is the first option: 10/Cos(30°)

Explanation:

1. As you can see in the figure attached, there is a right triangle and its hypotenuse (which is represented with the letter "x") is the side you want to calculate. So, you have:

Cos(</span>α)=Adjacent leg/Hypotenuse
<span>
</span>α=30°
<span> Adjacent leg=(20 in)/2=10 in
Hypotenuse=x

2. When you substitute these values into the formula, you obtain:
</span>
Cos(α)=Adjacent leg/Hypotenuse
<span> Cos(30°)=10/x

3. Therefore, you obtain the expression to determine the side length of the rhombus by clearing the hypotenuse "x", as below:

x=10/Cos(30°)
</span>

7 0

2 years ago