1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Blababa [14]
4 years ago
8

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was

Mathematics
1 answer:
alekssr [168]4 years ago
6 0
The formula would be set up as ratios (or fractions). The first ratio is 6:5, which in total is 11. There were 6 yes out of 11, so the fraction = 6/11.

The second fraction has a total of 5918, however you do not know the amount of yes votes, so the variable placeholder will be called "x".

The final formula would be:
 6/11 = x/5918

 You do cross multiplication and you get:
11x = 35508. You divide both sides, and you get x = 3228.

Because x is the placeholder for the amount of yes votes, and x = 3228, the amount of yes votes is 3228




You might be interested in
We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty
maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.

A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.

The probability mass function of a Binomial random variable <em>X</em> is:

P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...

(1)

Compute the expected value of <em>X</em> as follows:

E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of <em>X</em> ≥ 45 as follows:

P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

                =\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0
3 years ago
This is due tomorrow and I k ow for a fact these are both wrong, someone help
Naya [18.7K]
#1 answer is D and #2 answer is D also
6 0
3 years ago
Read 2 more answers
How do I find the missing sides of this triangle by using trigonometry
Lemur [1.5K]

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

You're given an angle, the adjacent side to that angle, and the hypotenuse.  So use cosine.

Cosine = Adjacent / Hypotenuse

cos 37° = 48 / x

Multiply both sides by x.

x cos 37° = 48

Divide both sides by cos 37°.

x = 48 / cos 37°

If desired, use a calculator to evaluate.

x ≈ 60.1

8 0
3 years ago
Which values represent solutions to cos
shepuryov [24]

Answer:

C option

Step-by-step explanation:

C is the correct solution of to above equation

4 0
3 years ago
What is a formula for the nth term of the given sequence? 50, -20,8...​
Tatiana [17]

Answer:

L = 50 * (-0.4)^(n - 1)

Step-by-step explanation:

r = t2/t1 = -20/50 = - 0.4

a = 50

L = 50 * (r)^(n - 1)      Let's  see if we can get the answer when n = 3

L=50 * (-0.4)^(3 -1)

L =50* (-0.4)^2

L = 50 * 0.16

L = 8 which is correct

5 0
3 years ago
Other questions:
  • What is the median for the data set? 978, 988, 994, 905, 964, 971, 928, 910, 984, 994 Express your answer as a decimal to the ne
    7·2 answers
  • Will mark brainliest, rate and thank pls answer. I don't need an explanation just an answer 3t+8(2t-6)=12+14t 2v+18=16-4(v+7) 4x
    7·1 answer
  • What is 9% written as a decimal
    12·2 answers
  • What is the degree of B
    7·1 answer
  • Solve <br> 3/4z-1/3=2/3z+1/5
    5·1 answer
  • Would f(-7) if f(x) = 8x + 15 does that equal -804??
    7·1 answer
  • 1. In the morning, the temperature
    7·1 answer
  • What is the molar mass of UF6??
    14·2 answers
  • How do you do number 25? At the bottom.
    10·1 answer
  • Tammy's allowance is $5.00. She did extra chores around the house and earned an
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!