Answer:
SP = $32.89
Step-by-step explanation:
Given that,
CP of every scarf = $8.39
Profit = $24.50
We need to find the SP for each scarf. We can find it as follows :
SP = CP +profit
SP = 8.39+24.50
SP = $32.89
So, Priscilla sells each scarf for $32.89.
the area of a rectangle with a height of 2 and a width of 5x^2-2x+3
Answer:
Area is 10x^2 - 4x + 6
Step-by-step explanation:
To find this area, multiply the width and height together:
(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6
Which of the following is the least reduced equivalent of 243/729?
A.2/6
B.1/3
c.3/9
D. 1/2
Answer:
B.1/3
Step-by-step explanation:
Dividing by 3.
243/729
81/243
27/81
9/27
3/9
1/3
What is four x equals twelve
Answer:
x= 3
Step-by-step explanation:
12 ÷ 4 +3
The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given statement is "four x equals twelve"
According to the given question, translate the phrase into an algebraic expression:
⇒ 4x = 12
Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"
Now the above expression solves for variable x,
⇒ 4x = 12
Divided by 4 into both sides of the above equation,
⇒ 4x / 4 = 12 / 4
⇒ x = 3
Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Give the system, X + y = 15 3x - y = 9, find the value of x and y
Answer:
(x,y)=(9/77,684/77)
Step-by-step explanation:
X + y = 15 3x - y = 9
=154x=18
x=9/77
9/77+y=9
y=684/77
=(x,y)=(9/77,684/77)
∫(cos3x+3sinx)dx integration
Answer:
[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]
Step-by-step explanation:
We need to integrate the given expression. Let I be the answer .
[tex]\implies\displaystyle I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]
Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .Rewrite using du and u .[tex]\implies\displaystyle I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \boxed{\boxed{\displaystyle I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}[/tex]
Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. T
oday 5 Years Ago Mean 82 88 Variance 112.5 54 Sample Size 45 36
The standard deviation of the difference between the means of the two populations is
A) 12.9
B) 9.3
C) 4
D) 2
Answer: D) 2
Step-by-step explanation:
The standard deviation of the difference between the means of the two populations is given by:-
[tex]S.E.=\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}}}[/tex]
where [tex]n_1[/tex]= sample size of population 1
[tex]n_2[/tex]= sample size of population 2
[tex]\sigma^2_1[/tex]= variance of population 1
[tex]\sigma^2_2[/tex]= variance of population 2
As per given,
[tex]S.E.=\sqrt{\dfrac{112.5}{45}+\dfrac{54}{36}}}\\\\=\sqrt{4}\\=2[/tex]
Hence, the correct option is D) 2.
can two fractions with the same numerator and different denominators be equal
Answer:
No, it cannot be equal
Step-by-step explanation:
For example: 1/2 and 1/4
1/2 represent in 2 pieces you are getting one piece.
1/4 represent in 4 pieces you get one piece
If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?
Answer:
$20
Step-by-step explanation:
2=10
4=20
i need help with this
Answer:
b≈41.95
Step-by-step explanation:
I need questions 1 , 2 ,3 answered please :)
9514 1404 393
Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
__
3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
what is the slope of the line shown?
Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty
Answer:
1. C: three | V: y
2. C: 7 | V: p
3. C: four | V: x
4. C: sixteen, ten | V: k
5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)
6. C: six, twelve | V: p
7. C: twenty, eight | V: h
8. C: four, five | V: x
9. C: fifteen | V: f
10. C: two, forty | V: d
Please help .. would be appreciated
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3
Answer:
B
Step-by-step explanation:
The mean height of women in a country (ages 20-29) is 63.9 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.96.
Answer: The mean height of women in a country ages 20 29
The mean height of women in a country (ages 20-29) is 63.7 inches.
if x is equal to –2, then find the value of 3x² + 5x
Answer:
2
Step-by-step explanation:
3*(-2)to power of 2 + 5*-2
= 3*4 + 5*-2
= 12 + -10 = 2
worries qui ouch Sunday each USCIS who what eeeei such Turkish what Umpqua snuggled han
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
An Internet service provider sampled 540 customers and found that 55 of them experienced an interruption in their service during the previous month. Construct a 95% confidence interval for the proportion of all customers who have experienced a service interruption. (0.080, 0.123) (0.873, 0.924) (0.076, 0.127) (0.102, 0.898)
Answer: a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
Step-by-step explanation:
Let p be the population proportion of all customers who have experienced a service interruption.
Confidence interval for p:[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, n= sample size, z* = critical z-value.
Given: n = 540
[tex]\hat{p}=\dfrac{55}{540}=0.102[/tex]
z* = 1.96
The required confidence interval:
[tex]0.102\pm (1.96)\sqrt{\dfrac{0.102(1-0.102)}{540}}\\\\=0.102\pm (1.96)(0.013024)\\\\=0.102\pm$$0.02552704\\\\=(0.102-$$0.02552704, 0.102+0.02552704)\\\\\approx(0.076, 0.127)[/tex]
Hence, a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?
Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008
Answer:
-6.075
Step-by-step explanation:
simple addition/subtraction
we multiply all the terms by "-1"
we add the first three terms then subtract the last from it
Can someone help with this question plz
Answer:
A: 2x + 13 = 59
Step-by-step explanation:
1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:
12+2x+1=59
Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59
pls help!
find the area
Answer:
Area of circle = πr²
22/7*11*11
2662/7
380.13 in² is your answer ☺️☺️☺️
30. find the value of x
(7x + 10) (11x - 6)
help. ...................................:))))))))))))))
Answer:
4in²
Step-by-step explanation:
area of rectangle = l x b = 4 x 1 = 4in²
Answer:
4 in²
Step-by-step explanation:
4x1 is 4 so the answer is 4
please help me on this
Answer: 7/8
Step-by-step explanation:
There are 8 tickmarks on the number line, each representing 1/8.
So, the question mark represents 7/8 (since it is one tickmark to the left of 1)
help me with the math problem
Answer: If Im correct, Y= 14
Step-by-step explanation:
If X=2
Then 2x would be 2x2
and that equals 4
so then you have y=4+10
and 4+10=14
y=14
Answer:
y = 14
Step-by-step explanation:
y = 2x + 10 , x= 2.
y = 2(2) + 10
= 4 + 10
= 14
Figure A ~ Figure B
Figure A
Figure B
1 ft
3 ft
V = 6 cu ft
Find the volume of Figure A.
Answer:
the answer is
162ft3
Step-by-step explanation:
Can someone help me pls
Answer:
Okay so for this one use the Pythagorean theorem
Step-by-step explanation:
A^2 + 28^2 = 128^2
You are trying to find A.
So 28^2 is 784
128^2 is 16384
Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600
Now you find the square root of both sides which gives you: A= 124.89 round it to 125