I need help....................

Alliya spent $6.70 on 12 pencils at the store. Her cost included $0.46 sales tax. How much did each pencil cost before the sales

creativ13 [48]

Answer:
each pencil costs $0.52 before sales tax was added

Explanation:
Assume that the price of each pencil before sales tax is x.

The total amount that Alliya paid can be computed as follows:
Total payment = x*number of pencils + sales tax

We are given that:
Total payment = $6.70
number of pencils = 12 pencils
sales tax = $0.46

Substitute with the givens in the above equation and solve for the price of each pencil (x) as follows:
Total payment = x*number of pencils + sales tax
6.70 = x * 12 + 0.46
6.7 - 0.46 = 12x
6.24 = 12x
x = 6.24/12
x = $0.52

Hope this helps :)

8 0

3 years ago

Read 2 more answers

g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate

bixtya [17]

Answer:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.85)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

We want to find the following probability:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

7 0

3 years ago

What is the answer to 5y + 4 = 3y + 6

nirvana33 [79]

The answer would be y=1

4 0

3 years ago

Read 2 more answers

Solve equation by using the quadratic formula. 6x² – 2x=8

Elenna [48]

Answer:

D

Step-by-step explanation:

6 0

3 years ago

2. The German Shepard actually weighs 28 pounds. Lisa thought the

I am Lyosha [343]

Answer:

Lisa's percentage of error regarding the weight of the dog was 57.14%.

Step-by-step explanation:

Given that the German Shepard actually weighs 28 pounds, but Lisa thought the dog weighed 44 pounds, to determine what is the percent error the following calculation must be performed:

28 = 100

44 = X

(44 x 100) / 28 = X

4,400 / 28 = X

157.14 = X

157.14 - 100 = 57.14

Thus, Lisa's percentage of error regarding the weight of the dog was 57.14%.

8 0

3 years ago