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3 years ago

ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < D = 2x + 20. angles B&C are congruent.

Mathematics

1 answer:

eimsori [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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PLEASE HELP!!! Does this table represent a function? Why or why not?

Oksi-84 [34.3K]

Each value in the 'x' column (on the left) is unique. There are no repeated x values. This means we do have a function.

Put another way, each x value leads to exactly one y value. This is another way to see that we have a function. A function input must have one output or else it would lead to confusion or ambiguity. For example, let's say you wanted to convert from celsius to fahrenheit. You would use the conversion function F = (9/5)C+32. The idea is whatever celsius C value you plug in, you should get ONE and only one fahrenheit value. Otherwise, it would be impossible to know which fahrenheit temperature to go with.

Yet another way is to graph each (x,y) point and notice it is impossible to draw a single vertical line through more than one point mentioned in the table. This graph passes the vertical line test to further confirm that we do have a function.

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Answer: Yes, because every x-value corresponds to exactly one y-value
In other words, the answer is choice B
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7 0

3 years ago

What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2

andre [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

Karen gets a gas bill. The cost of the gas before the VAT was added was £361.20.

insens350 [35]

The cost of gas bill including VAT is 379.26.

Value-Added Tax (VAT) is a tax, which is payable on sales of goods or services within the territory of the Member States of the EU.

Given:

Cost of the gas before the VAT was added was £361.20.

VAT = 5%

Thus, cost of bill including VAT is

=361.20.*1.05

=379.26.

Learn more about VAT here:

brainly.com/question/20628016

#SPJ1

7 0

2 years ago

Please help meee.......

liubo4ka [24]

Answer:

We are given 5 footballs and 9 baseballs. Therefore, the ratio would be 5:9, or 5/9 as the footballs would come first, then the baseballs.

5 0

3 years ago

In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a

Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

It is believed that 12% of voters are independent.

This means that $p = 0.12$

Survey of 29 people

This means that $n = 29$

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274$

$P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016$

$P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374$

$P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483$