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4 years ago

toru takes his dog to be groomed. the fee to groom the dog is $75 plus 6.75% tax. is $ 80 enough to pay for the service? explain

Mathematics

1 answer:

Volgvan4 years ago

6 0

No, because the tax because the tax is $5.06 so it will not be exact you will need an extra 6cents

.0675 x 75 =5.0675

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If a system of equations has infinite solutions, what do you know about the graph?

Anton [14]

Answer:

Step-by-step explanation:

A: Perpendicular lines have 1 solution. A is not the answer.

B: If the lines intersect, there is one solution, not many.

C: The lines are the same or can be reduced to being the same. C is the answer.

D: The lines don't intersect means that the lines are parallel. There isn't a solution.

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3 years ago

Jack planted 1 1/4 rows of lettuce in the family garden, Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of b

Oksana_A [137]

Solution:

we are given that

Jack planted 1 1/4 rows of lettuce in the family garden.

Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of beans.

we have been asked to find -How many rows were planted in the garden?

To find this , we will add all the numbers of rows planted.

Hence number of rows planted

$=1\frac{1}{4}+ 1\frac{1}{2}+4\frac{5}{12}\\\\=2\frac{1+2}{4}+ 4\frac{5}{12}\\\\=2\frac{3}{4}+ 4\frac{5}{12}\\\\=7\frac{1}{6} \\$

5 0

3 years ago

Read 2 more answers

Variables are: a. Symbolic names made up by the programmer that represent locations in the computer's memory b. Operators that p

pentagon [3]

Answer:

a. Symbolic names made up by the programmer that represents locations in the computer's RAM.

Step-by-step explanation:

Note that in programming, variables value can change, depending on the instructions of the programmer.

For example, if two values 10 and 20 are to be stored in a program and used.

The Programmer would do the following:

Create variables with symbolic names,
Store the values in those two variables,
Retrieve and use the stored values from the variables.

A variable name could be like age, sex, salary, year 2020 etc.

7 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 =

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

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

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

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

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

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

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

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

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

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