Given:
Cost price of refrigerator = $11515
Discount rate 16% on its marked price.
Profit = 20%
To find:
The marked price of the refrigerator.
Solution:
The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:
[tex]S.P.=C.P.+20\%\text{ of }C.P.[/tex]
[tex]S.P.=11515+\dfrac{20}{100}(11515)[/tex]
[tex]S.P.=11515+2303[/tex]
[tex]S.P.=13818[/tex]
Let x be the marked price of the refrigerator. Then,
[tex]S.P.=x-16\%\text{ of }x[/tex]
[tex]13818=x-\dfrac{16}{100}x[/tex]
[tex]13818=x-0.16x[/tex]
[tex]13818=0.84x[/tex]
Divide both sides by 0.84.
[tex]\dfrac{13818}{0.84}=x[/tex]
[tex]16450=x[/tex]
Therefore, the marked price of the refrigerator is $16450.
The graph of the quadratic function y=-x^2-2x+3.What statement about the graph is true.select all that apply.
Answer:
the graph has an x intercept at 1, 0 has a vertex of -1,4 axis of symmetry x = -1 relative min of -1, 4has the roots of 3 and 1plz help me on this geometry i suck plz i will give brainly
Answer:
The shed that Vicky and Jim will use is the second shed (length | 4 [] width | 2 1/4), because the height length is 7.
4 x 2.25 = 9
63 divided by 9 = 7
(First Shed) 5 x 2.20 = 11
66 divided by 11 = 6
7 > 6
7 = Height of First Shed
The first shed will be used to store the new lawnmower since it is the taller shed.
THE FUNCTION! f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height of the right endpoint of the kth rectangle?
f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts the height of the right endpoint of the kth rectangle is mathematically given as
H endpoint = -2+k x5/n. Option A is correct
what is the height of the right endpoint of the kth rectangle?
Generally, the equation for the function is mathematically given as
f(x) = x^2+4
interval is divided = 5/n
endpoint =k x 5/n
therefore,
H endpoint = -2+k x5/n
In conclusion, the height of the right endpoint of the kth rectangle is
H endpoint = -2+k x5/n
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Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
When two six-sided dice
are rolled, the set of outcomes is shown in the table below. Each particular combination of results for the light and dark colored dice is equally-likely to occur if the dice are "fair".
If two dice are rolled, what is the probability that the second die shows a number less than the first die?
Answer:
B
Step-by-step explanation:
2. [5pts] The Pew Research Group conducted a poll in which they asked, "Are you in favor of, or opposed to, executing persons as a general policy when the crime committed while under the age of 18?" Of the 580 Catholics surveyed, 180 indicated they favored capital punishment; of the 600 seculars surveyed, 238 favored capital punishment. Is there a significant difference in the proportion of individuals in these groups in favor of capital punishment for persons under the age of 18? Use the ???? = 0.01 level of significance. Show all work.
Answer:
See below for answers and explanations
Step-by-step explanation:
Here, we are comparing two proportions of a large sample size. Therefore, conducting a 2-proportion z-test is appropriate. Conditions are already assumed, so we can conduct the test.
We are testing our null and alternate hypotheses which are:
H: p1=p2 (there is no difference)
Ha: p1≠p2 (there is a difference)
Given:
x1=180
n1=580
x2=238
n2=600
p1=180/580=0.31
p2=238/600=0.4
p=(180+238)/(580+600)=418/1180=0.35
Use the formula to calculate the z-statistic:
[tex]Z=\frac{p_1-p_2}{\sqrt{p(1-p)(\frac{1}{n_1}+\frac{1}{n_2})}}[/tex]
[tex]Z=\frac{0.31-0.4}{\sqrt{0.35(1-0.35)(\frac{1}{580}+\frac{1}{600})}}[/tex]
[tex]Z=-3.24[/tex]
Calculate p-value (note that this is two-sided):
1) normalcdf(-1e99,-3.24)=5.977105194*10^-4
2) Since this is a two-sided test, we double it to get p=0.001195421
Conclusion: Since 0.0012<0.05, we reject the null hypothesis and conclude that there is a significant difference in the proportion of individuals in these groups in favor of capital punishment for persons under the age of 18 because our p-value is extremely low.
Ο Α.
B.
C.
D.
SUBMIT
Plzzzz helpppp
Answer:
c
Step-by-step explanation:
Find the values of x and y to make the equation true.
-2x + 61 = (-24y)i - 14
Find the 9th term of the geometric sequence 10, 40, 160,
ANSWER ASAP 50 points
Step-by-step explanation:
[tex]U _{ {9}^{th} } \: term = U _{ {1}^{st} } {r}^{(n - 1)} \\ = 10 \times {4}^{(9 - 1)} \\ = 655360 \\ {9}^{th} \: term \: is \: 655360[/tex]
6789 divided by 89.65
Step-by-step explanation:
75 . 727 is your answer
hope it is helpful to you
Pls help with this question! Its due today!
Answer:
down below.
Step-by-step explanation:
straight lines are always 180.
[tex]x+34+2x+2=180\\3x+36=180\\3x+36-36=180-36\\3x=144\\3x/3=144/3\\x=48[/tex]
please say this question answer please
Answer:
4
Step-by-step explanation:
Its 4 because x= 4
A line is subdivided according to the golden ratio, with the smaller piece having a length of 8 meters. What is the length of the entire line? Use o 1618
The length of the entire line is meters.
Answer:
the entire length is 202.25 or 203 when rounded to the nearest number.
Step-by-step explanation:
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
Using a whole number of miles and a whole number of feet
Answer:
3 miles
58080 feet
Step-by-step explanation:
) Jolie draws a map of her neighborhood on a
coordinate plane. She draws her house at a point in
Quadrant II.
OU
Select all the points that could represent the location of
Jolie's house?
a.) (0,5)
b.) (1, -4)
c.) (-2, 0)
d.) (-4.71
Pls help and explain if you can
trafik levhalasinin anlamı hangisidir?
A Komjon girmesi
B. Kamyon yolu
C. Kamyon çkabilir
Bence cevap C diye düşünüyorum çünkü trafik levhası kaza yapmayalım diye bizi uyarır, yaya ve araçların olduğu yollarda, trafik düzeninin sağlayan önemli gereçlerdir. Bu levhalar sayesinde kargaşalar engellenmekte, can ve mal güvenliği de korunmaktadır.
BaşarılarCan some one please help me and explain how you got the answer?
Answer:
Yes number 5 is, they are proportional because y is coresponding to x by multiplying by 1/5
No number 6 isn't, you can't go from 3 to 1 and 7 to 3
Answer:
5. Proportional & 6. Not Proportional
Step-by-step explanation:
Proportional relationships = x and y increase at the same rate
5. all increases by x2
6. increases at different rates
How can you check to see if two fractions are equivalent please explain
Answer:
cross multiply and they should equal the same
Step-by-step explanation:
Evaluate 12 ÷ 2 × 6.
Answer:
[tex]36[/tex]
Step-by-step explanation:
1) Simplify 12 ÷ 2 to 6.
[tex]6 \times 6[/tex]
2) Simplify.
[tex]36[/tex]
therefor, the answer is 36.
7. How does the relative
frequency change between
when the spinner is spun 50
times vs. 100 times?
Answer:
this answer was 10 times
A lawyer has 4 clients to meet. In how many different ways can he make
his rounds if he meets each client once?
Answer:24
Step-by-step explanation: 4x3x2x1
The product of a whole number 'n' with every whole number until 1 is called the factorial. The number of ways the lawyer can meet the client is 24 or 4!.
What is a factorial?The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
A lawyer has 4 clients to meet. The number of ways the lawyer can meet the client is 4!.
Number of ways = 4! = 4×3×2×1 = 24
Hence, the number of ways the lawyer can meet the client is 24 or 4!.
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In the diagram, KLMN is a rectangle, and the two shaded regions are squares. If the length of KL is 6 centimeters, and the length of KN is 14 centimeters, which is closest to the length of ST in centimeters?
Answer:
15.2cm
Step-by-step explanation:
From the given diagram;
KN = SN = 14cm
KL = NT = 6cm
Required
ST
Using the Pythagoras theorem;
ST² = SN² + NT²
ST² = 14² + 6²
ST² = 196 + 36
ST² = 232
ST = √232
ST = 15.2cm
Hence the length of ST is 15.2cm
The center of a circle is at (–4, 2) and its radius is 9.
What is the equation of the circle?
(x−4)2+(y+2)2=3
(x+4)2+(y−2)2=3
(x−4)2+(y+2)2=9
(x+4)2+(y−2)2=9
(x−4)2+(y+2)2=81
(x+4)2+(y−2)2=81
Answer: fourth choice
Step-by-step explanation:
Answer:
formula for circle is
(x-h)^2+(y-k)^2=r^2
so the answer is sixth
e^2=36. solve for e
e = ± ( )
Answer:
solution given:
e^2=36
e=±√36=±6 is your answer
pleas help me !!!!!!!!! :-[
Answer:
A
Step-by-step explanation:
If ZP and ZQ are complementary angles,
mZP = 7x + 3, and mZQ = 16x – 5, find mZP.
A. 31°
B. 34°
C. 56
D. 59°
Plz write/type the answers, I pray u can help
X+4y=8 and 3x+4y=0 find the slope-intercept form
Answer:
Step-by-step explanation:
Slope intercept form: y =mx + c
1) x + 4y = 8
4y = -x + 8
Divide the equation by 4
[tex]\frac{4y}{4}=\frac{-x}{4}+\frac{8}{4}\\\\y = \frac{-1}{4}x + 2[/tex]
Here, m = -1/4 and y-intercept = 2
2) 3x + 4y = 0
4y = -3x
Divide the equation by 4
y = [tex]\frac{-3}{4}x[/tex]
Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes? 4 1 H1 H H 2 H2 H2 3. H3 H3 H4 4. O T T 1 11 T1 2 T2 T2 3 T3 T3 T4 1 4 H T 2 T2 T2 3 H3 H3 H1 4 0 T 1 T1 H1 2 T2 H2 3 T3 H3 H4
Answer:
The bottom table.
Step-by-step explanation:
It's the only one that shows options for heads and tails for every number.
Answer:
D the last one
The diagonal of a square is 14 cm. Find its area.
Answer:
[tex]let \: the \: length \: of \: one \: side \: be \: l \\ {l}^{2} = {14}^{2} - {l}^{2} \\ 2 {l}^{2} = {14}^{2} \\ l\sqrt{2} = 14 \\ l = \frac{14}{ \sqrt{2} } \: cm \\ area = \: l \times l \\ = ( { \frac{14}{ \sqrt{2} }) }^{2} \\ = 98 \: {cm}^{2} [/tex]