All categories

2 years ago

Find the measure of 4 3. 43 90° < 4 3 = [?]° = HELP

Mathematics

1 answer:

Travka [436]2 years ago

5 0

Answer: 90 degrees

Step-by-step explanation:

Same-side interior angles thm states that the 90 deg angle and angle 3 are supplementary.

You might be interested in

List all the factors of 42 from least to greatest. Enter your answer below,

yuradex [85]

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

3 0

2 years ago

Read 2 more answers

Please help its urgent!!!!

Elenna [48]

Answer:

Step-by-step explanation:

5 0

3 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

Bread and sugar cost 110 together,bread cost 100 more than sugar,how much does sugar cost?

dangina [55]

First write an equation system based on the problem
We can write "Bread and sugar cost 110 together" as
∴ b + s = 110
We can write "bread cost 100 more than sugar" as
∴ b = 100 + s

Second, solve the equation system by subtitution method
Subtitute b with (100+s) in the first equation, and we'll find the value of s
b + s = 110
(100 + s) + s = 110
100 + 2s = 110
2s = 110 - 100
2s = 10
s = 10/2
s = 5
The cost of the sugar is 5

4 0

3 years ago

X/-3+33=30 solveeeeee

Montano1993 [528]

Answer:

x = 9

Step-by-step explanation:

6 0

3 years ago