2. Which of the following gives a valid reason for using the given
solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation li: 2x + 3y = 2
a Elimination; a coefficient in Equation is an integer multiple of a coefficient
in Equation II.
b Elimination; a coefficient in Equation II is an integer multiple of
a coefficient in Equation 1
c Substitution; equation I can be solved for x in one step by dividing both
sides by 4
d Substitution; equation can be solved for x in one step by subtracting 3y
from both sides.
Answer:
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient
in Equation II.
Step-by-step explanation:
4 is a multiple of 2. Therefore, the answer would be A.
The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage.
Solve picture that I provided
You want to earn an EAR of 12.682%. Therefore, you would pick an investment with a quoted interest rate of _________ APR with monthly compounding:
A) 12.30%
B) 12.68%
C) 12.00%
D) 12.28%
E) None of the above
Answer:
The correct option is C) 12.00%.
Step-by-step explanation:
This can be calculated using the formula for calculating the effective annual rate (EAR) as follows:
EAR = ((1 + (i / n))^n) - 1 .............................(1)
Where;
EAR = effective annual rate = 12.682%, or 0.12682
i = annual percentage rate (APR) = ?
n = Number of compounding periods or months = 12
Substituting the values into equation (1) and solve for i, we have:
0.12682 = ((1 + (i / 12))^12) - 1
0.12682 + 1 = (1 + (i / 12))^12
1.12682 = (1 + (i / 12))^12
(1.12682)^(1/12) = (1 + (i / 12))^(12/12)
1.12682^0.0833333333333333 = 1 + (i / 12)
1.00999962428035 - 1 = i / 12
0.00999962428035 = i / 12
i = 0.00999962428035 * 12
i = 0.119995491364199, or 11.9995491364199%
Approximating to 2 decimal places, we have:
i = 12.00%
Therefore, the correct option is C) 12.00%.
here is a list of number 51 38 48 36 39 40 39 47
WHAT is the median
Answer:
36
Step-by-step explanation:
Median is the Middle number in the sequence.
Hope this Helps!!
:D
A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.
Required:
a. Construct a 95â% confidence interval to estimate of the percentage of yellow peas.
b. It was expected thatâ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is notâ 25%, do the results contradictâ expectations?
Answer:
a
The 95% confidence interval is [tex] 0.2474 < p < 0.3188 [/tex]
b
The result obtained does not contradict expectation
Step-by-step explanation:
From the question we are told that
The number of green peas is k = 438
The number of yellow peas is u = 173
Generally the sample size is mathematically represented as
[tex]n = k + u[/tex]
=> [tex]n = 438 + 173[/tex]
=> [tex]n = 611[/tex]
Generally the sample proportion for yellow peas is
[tex]\^ p = \frac{u}{n}[/tex]
=> [tex]\^ p = \frac{173}{611 }[/tex]
=> [tex]\^ p = 0.2831[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} } [/tex]
=> [tex]E = 0.0357 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex] 0.2831 -0.0357 <p< 0.2831 + 0.0357[/tex]
=> [tex] 0.2474 < p < 0.3188 [/tex]
From the question we are told that it was expected that 25% of the offspring peas will be yellow
Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so it means that the result obtained does not contradict expectation
The water level of the river
Answer:
you just see whats on the side and write it down so its 16-20
Step-by-step explanation:
8. Kim has a fever. Her temperature is 100.5 degrees Fahrenheit. Norr
temperature is 98.6 degrees Fahrenheit, How much above normal
temperature is Kim's fever?
Answer:
1.9 degrees above the normal temperture
Step-by-step explanation:
Normal temperture: 98.6 degrees Fahrenheit
100.5 - 98.6 = 1.9
discriminant of 2x2 - 4x + 7 = 0
Answer:
1
Step-by-step explanation:
The discriminant of the quadratic equation 2x2+4x-7=0 is 1
The diameter of a circle is 44 what’s the radius
Answer:
22
Step-by-step explanation:
Point B (-5,5) is
reflected over the
x-axis. Where is
B'?
Answer:
(-5,-5)
Step-by-step explanation:
Help plsssssssssssssssssssssss thanks so much
Answer:
Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?
Step-by-step explanation:
If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit
Answer:
Following are the solution to the given point:
Step-by-step explanation:
Please find the comp[lete question in the attached file.
Given:
[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]
In point 1:
[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]
In point 2:
[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]
In point 3:
Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex], in which r and t were constants!
[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]
In point 4:
[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and
[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
What is the multiplicative inverse of 1 2/3
Answer:
sorry if im wrong but im pretty sure -5/3
Step-by-step explanation:
Answer:
2/1
Step-by-step explanation:
A calculator showed me that this was the answer. I would give you the link but I would probably get deleted. I already got warned so yeah.
Hope this helps!
HELP ME OUT REALL FAST PLEASEE
Answer:
The answer is C because you have to multiply them both:)
Answer:
The answer is C
Step-by-step explanation:
What I'm about to write is overkill for this question, but it works for any common denominator. Factor the denominators.
10: 2 * 5
5 : 1 * 5
You need 1 five and 1 two. The answer is 10
The correct way to go about doing the question is to multiply the 5 by 2 and the 2 on top by 2
2*2/5*2 = 4/10
1/10 1 / 10
4/10 + 1/10
find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3
Answer:
123
Step-by-step explanation:
3 + (16 - 1)8
3 + (15)8
3 + 120
123
Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
What is the greatest number of baskets that Lisa can make?
Lisa is making fruit baskets.
• She has 12 pears, 30 apples, and 42 oranges.
• For each type of fruit, each basket must have the same number of pieces
of that fruit
• She must use all of the fruit.
A) 2
B 5
C)6
D)7
Answer: 5
Step-by-step explanation:
What is the solución to this equation
X/5=30
Answer:
150
Step-by-step explanation:
x/5=30
x=30*5
x=150
Hoped this helped!
Step-by-step explanation:
x/5 = 30
5 × x/5 = 5 × 30
x = 5 × 30
x = 150
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
The Buffalo Bills football team wanted to buy new footballs. what did the team have to pay per football? Be sure to explain all of your work.
Answer: I don't see the amount per football
Step-by-step explanation:
Does f(x)=|x|+5 go up or down
Answer:
up
Step-by-step explanation:
postive, up!
Answer:
..........UP..........
Solve the following equations for x.
kx - b=3d + 7b
Answer:
x= 3d/k +8b/k i think
Step-by-step explanation:
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real
number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
12
The discriminant is greater than zero, the equation has 2 solutions
How to calculate the discrimant of quadratic equationGiven the quadratic expression as shown:
-x^4 + 4x + 1 + 3 = 0
x^4 - 4x - 4 = 0
The discriminant is given as b^2 - 4ac
where;
a = 1
b = -4
c = -4
Substitute
D =(-4)^2 - 4(1)(-4)
D = 16 + 16
D = 32
Since the discriminant is greater than zero, the equation has 2 solutions
Learn more on discriminant here; https://brainly.com/question/24730520
Answer: 2
Step-by-step explanation: got it right
Look at image which graph shows T (ABC)?
Answer:
A.
Step-by-step explanation:
That is a translation of 3 units left and 6 units down.
It takes 1 minute for a high speed train to travel 2 miles. How many miles can it travel in 1 hour?
You are trying to determine if you should accept a shipment of eggs for a local grocery store. About 4% of all cartons which are shipped have had an egg crack while traveling. You are instructed to accept the shipment if no more than 10 cartons out of the 300 you inspect have cracked eggs. What is the probability that you accept the shipment? (In other words, what is the probability that, at the most, you had 16 cartons with cracked eggs?)
a. 1012.
b. 3669.
c. 5319.
d. 4681.
e. 5832.
f. 6331.
Answer:
0.8809
Step-by-step explanation:
Given that:
The population proportion p = 4% = 4/100 = 0.04
Sample mean x = 16
The sample size n = 300
The sample proportion [tex]\hat p =\dfrac{x}{n}[/tex]
= 16/300
= 0.0533
∴
[tex]P(\hat p \leq 0.0533) = P\bigg ( \dfrac{\hat p - p}{\sqrt{\dfrac{P(1-P)}{n}}}\leq\dfrac{0.0533 - 0.04}{\sqrt{\dfrac{0.04(1-0.04)}{300}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.04(0.96)}{300}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.0384}{300}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{1.28 \times 10^{-4}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{0.0113}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq1.18}\bigg )[/tex]
From the z tables;
= 0.8809
OR
Let X be the random variation that follows a normal distribution;
Then;
population mean [tex]\mu[/tex] = n × p
population mean [tex]\mu[/tex] = 300 × 0.04
population mean [tex]\mu[/tex] = 12
The standard deviation [tex]\sigma = \sqrt{np(1-p)}[/tex]
The standard deviation [tex]\sigma = \sqrt{300 \times 0.04(1-0.04)}[/tex]
The standard deviation [tex]\sigma = \sqrt{11.52}[/tex]
The standard deviation [tex]\sigma = 3.39[/tex]
The z -score can be computed as:
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]z = \dfrac{16 -12}{3.39}[/tex]
[tex]z = \dfrac{4}{3.39}[/tex]
z = 1.18
The required probability is:
P(X ≤ 10) = Pr (z ≤ 1.18)
= 0.8809
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation: