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4 years ago

In the diagram, which angles are vertical angles? Select two

Mathematics

2 answers:

lakkis [162]4 years ago

8 0

Answer:

∠ABE and ∠CBD

∠ABC and ∠EBD

Step-by-step explanation:

we know that

<u>Vertical angle</u>s are a pair of opposite and congruent angles formed by intersecting lines

In this problem we have that

∠ABE=∠CBD ------> by vertical angles

∠ABC=∠EBD ------> by vertical angles

therefore

The angles that are vertical angles are

∠ABE and ∠CBD

∠ABC and ∠EBD

lilavasa [31]4 years ago

3 0

Answer:

B: $\angle ABE=\angle CBD$

D: $\angle ABC=\angle EBD$

Step-by-step explanation:

We are given that a figure

We have to find the pair of vertical angle and select two options

Vertical angle:When two lines are intersect to each other then opposite angles are called vertical angle.

From a given diagram

We can see that

$\angle ABE=\angle CBD$ (vertical angle )

$\angle ABC=\angle EBD$ (vertical angle )

Hence, option D and E are true.

Answer:D: $\angle ABC=\angle EBD$

B: $\angle ABE=\angle BCD$

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A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

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4 years ago

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If you roll two number cubes ,what is the probability of their sum being 9 or higher?

bija089 [108]

Answer:

5/18

Step-by-step explanation:

When two cubes are rolled there are 36 possibilities

Each dice has 6 equally like outcomes so possibilities are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we look at the pair that has sum equal to 9

(3,6) (4,5) (5,4) (6,3) that has sum of 9

Probability of sum is 9 = $\frac{4}{36}$

we look at the pairs that has sum greater than 9

(4,6) (5,5)(5,6) (6,4)(6,5)(6,6)

Probability of sum greater than 9 = $\frac{6}{36}$

Probability of sum 9 or higher = P(sum 9) + P(greater than 9)

= $\frac{4}{36}+\frac{6}{36}= \frac{10}{36}=\frac{5}{18}$

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What is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?

stepan [7]

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Step-by-step explanation:

The Median is the Middle # in the set.

I hope this helps!

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