Answer:
150g butter
135g caster cugar
15g chocolate chips
Step-by-step explanation:
Multiply all numbers by 3/4.
This is because 300/400 simplified is 3/4.
Calculate the following probability: Given that a couple has an Education Level = 4, what is the probability that it has SC Index = 10?
o 0.94
o 17
o 0.06
o 0
The correct option is option C: 0.06.
Given that a couple has an Education Level = 4, the probability that it has SC Index = 10 is 0.06.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number that ranges from 0 to 1.
When an event is certain to occur, its probability is 1, while when an event is impossible to occur, its probability is 0.
The probability of an event A is denoted by P(A). It can be calculated using the following formula: P(A) = (number of favorable outcomes)/(total number of outcomes)
In this question, we need to calculate the probability of the event that a couple has an Education Level = 4 and SC Index = 10.
Given that a couple has an Education Level = 4, there are a total of 50 such couples. Of these, 3 have SC Index = 10.
Therefore, the probability that a couple has an Education Level = 4 and SC Index = 10 is: P(Education Level = 4 and SC Index = 10) = 3/50 = 0.06Hence, the correct option is option C: 0.06.
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Please help 50 point !!
Answer:
The last one
Step-by-step explanation:
\(x^3+1=0\)
Subtract 1 from both sides
\(x^3+1-1=0-1\)
simplify
\(x^3=-1\)
\(\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}\)
\(x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}\)
simplify
\(x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}\)
(That's basically the last one but in a different way of writing it)
Answer:
The last one
Step-by-step explanation:
Subtract 1 from both sides
simplify
simplify
Two samples drawn from two populations are independent if: A) the selection of one sample from a population is related to the selection of the second sample from the same population B) two samples selected from the same population have no relation C) the selection of one sample from a population is not related to the selection of the second sample from the same population D) the selection of one sample from one population does not affect the selection of the second sample from the second population
Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:
Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.
If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.
Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.
In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.
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Which expression is equivalent to log18 – log(p 2)? log StartFraction p 2 Over 18 EndFraction log StartFraction 18 Over p 2 EndFraction log StartFraction 20 Over p EndFraction log left-bracket 18 times (p 2) right-bracket.
The expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).
We have to determine
Which expression is equivalent to log18 – log(p +2)?
According to the questionEquation; \(\rm log18 - log(p +2)\)
There is a property of logarithms that when two logarithms are subtracting each other, we can make a single logarithm with the argument being the division of their arguments:\(\rm log(x) - log(y) = log \left(\dfrac{x}{y} \right )\)
By applying the property in the given equation;
\(\rm = log18 - log(p +2)\\ \\ = log \left ( \dfrac{18}{p+2} \right )\)
Hence, the expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).
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Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?
Answer:
$8.01
Step-by-step explanation:
find the perimeter of the polygon if
What are the numbers so I can do the problem.
Which of the following is the equation for a circle with a radius of rand center
at (h, k)?
OA. ²² +²2² =2²
OB. (x-h)2+(y- k)² = ²2
OC. (x+ h)2 + (y+ k)² = 12
OD. (x-4)² + (v-h)² = ₁²
K
SUBMIT
The equation for a circle with a radius of r and center at (h, k) is given by \((x - h)^2 + (y - k)^2 = r^2\).The correct answer is option B.
In this equation, (x, y) represents any point on the circle's circumference. The center of the circle is denoted by (h, k), which specifies the horizontal and vertical positions of the center point.
The radius, r, represents the distance from the center to any point on the circle's circumference.
This equation is derived from the Pythagorean theorem. By considering a right triangle formed between the center of the circle, a point on the circumference, and the x or y-axis, we can determine the relationship between the coordinates (x, y), the center (h, k), and the radius r.
The lengths of the triangle's sides are (x - h) for the horizontal distance, (y - k) for the vertical distance, and r for the hypotenuse, which is the radius.
By squaring both sides of the equation, we eliminate the square root operation, resulting in the standard form of the equation for a circle.
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Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? (The holes caused by the nails are negligible.) Express your answer in simplest radical form.
Answer:
The area of the unpainted region on the four inch board = 160·√3 in.²
Step-by-step explanation:
Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram
The dimensions of the formed parallelogram are;
Interior angles = 60° and 120° (adjacent angles of a parallelogram)
Height, h of parallelogram formed = 4 inches
From the angle of crossing of the parallelogram, we have;
Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°
Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;
\(b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches\)
Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²
Hence, the area of the unpainted region on the four inch board = 160·√3 in.².
suppose a large shipment of microwave ovens contained 10% defectives. if a sample of size 236236 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%3%? round your answer to four decimal places.
Suppose a large shipment of microwave ovens contained 10% defectives. If a sample of size 236236 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%?
Solution:Population proportion: p = 10% = 0.10 Sample size: n = 236236 The sample proportion is given by the formula:
\($\hat{p}=\frac{x}{n}$\)
where x is the number of defectives in the sample.
Now, we have, \($$E=\left|p-\hat{p}\right|<0.03$$\) Expanding, we get\(, $$|0.10-\hat{p}|<0.03$$\) Simplifying the above inequality, we get, \($$0.07<\hat{p}<0.13$$\) The standard error of the sample proportion is given by the formula: \($$\sqrt{\frac{p\left(1-p\right)}{n}}$$\) Substituting the given values,
we get, \($$\sqrt{\frac{0.10\left(0.90\right)}{236236}}$$$$=0.001583$$ Thus, the required probability is given by, $$P\left(0.07<\hat{p}<0.13\right)$$\)
\($$=P\left(\frac{0.07-0.10}{0.001583}<\frac{\hat{p}-0.10}{0.001583}<\frac{0.13-0.10}{0.001583}\right)$$$$=P\left(-18.918)\)
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Anybody good in geometry and know the answer? Free Brainliest and point !!
Answer:
5,8
Step-by-step explanation:
since C is on y coordinate 8 if its a reflection C' will be as well and C is on x coordinate -5 so if its a reflection then C' will be 5 so 5,8
Answer:
(5,8)
Step-by-step explanation:
one way I like to do it is a) count how many squares C is away from the axis, which is 5, and then staring at the Y-axis count five spaces to the right, or b) which might be a little more time consuming, do where the original D is and see how many spaces up and across C is from D, which is up two and right 5. So then go to the new one, and go up two and instead of going right five, count five to the left because it's reflected. Hope that made sense and helped! If not please let me know and i'll try to explain further.
V = bdt. Solve the formula for b.
Answer:
b = \(\frac{V}{dt}\)
Step-by-step explanation:
Divide both sides by dt, so it cancels out.
\(\frac{V}{dt} = \frac{bdt}{dt}\)
\(\frac{V}{dt} = b\)
1.A chef has 5 1/2 pounds of chicken. He uses 4/5 of the chicken to make enchiladas. How many pounds of chicken did the chef use to make enchiladas?
2. If 6 people evenly share 3/4 of a cake, what fraction of the whole cake does each person get?
Please help is for a test and I will give the brainliest
let e be the solid bounded by y = 4 – x^2 z^2, y = 0. express the integral ( , , ) efxyzdv∫∫∫ as an iterated integral a) in the order dxdydz quizlet
∫∫∫e f(x, y, z) dV can be expressed as ∫∫∫e f(x, y, z) dz dy dx for the given solid e bounded by y = 4 - \(x^{2}\) \(z^{2}\) and y = 0.
To express the integral as an iterated integral, we consider the order of integration. In this case, we start with the innermost integral, which integrates with respect to z. The limits of integration for z are determined by the bounds of the solid e, which are given by the surfaces y = 0 and y = 4 - \(x^{2}\) \(z^{2}\)
Next, we move to the middle integral, integrating with respect to y. The limits of integration for y are determined by the intersection points of the surfaces y = 0 and y = 4 - \(x^{2}\) \(z^{2}\). In this case, y ranges from 0 to the value of y determined by the equation 4 - \(x^{2}\) \(z^{2}\) = 0.
Finally, we integrate with respect to x, where the limits of integration for x are determined by the bounds of the solid e. These bounds can be determined by finding the values of x that satisfy the equation 4 - \(x^{2}\) \(z^{2}\) = 0.
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HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm
Answer:
x= 44 cm
Step-by-step explanation:
\( {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44\)
Cancer is caused by abnormal growth is due to a genetic mutation. Which of the following can cause this genetic mutation? (Choose all that apply)
a) caused by exposure to radiation
b) can be inherited
c) acquired with age after many rounds of cell division
d)acquired from contact with a person who has cancer
Evaluate
(-315) ×4
with the correct explaination
\(\Large\textsf{\textbf{Answer\::}}\)
-1, 260
\(\large\textsf{\textbf{Calculations\;:}}\)
First , take a look at the signs of the numbers we're asked to multiply .
One of them is negative , and the other one is positive .
If we have a negative number times a positive number , the product is a positive number .
Multiply :
(-315) × 4
-1, 260 (Ans)
\(\footnotesize\text{hope\:helpful~}\)
Two rectangles each with dimensions
c cm ⇥ b cm are used to form a cross as shown. The arms of the cross are all of equal length.
a) The perimeter of the cross is: P = 4a = 4(c - b) = 4c - 4b
b) The area of the cross is:\(A= 2cb - 2b^2 \ cm^2\)
c) b in terms of A and C is: \(b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}\)
What is area and perimeter?
The perimeter of a shape is the distance around its outside. The space inside a shape is measured by area.
a) The perimeter, P, of the cross is equal to the sum of the lengths of its four arms.
The length of one arm of the cross can be found by subtracting the length of one rectangle from the length of the other rectangle. Since each rectangle has dimensions c cm × b cm, the length of one arm is:
a = c - b
Therefore, the perimeter of the cross is:
P = 4a = 4(c - b) = 4c - 4b
b) The area, A, of the cross is equal to the area of the two rectangles minus the area of the four triangles formed by the arms of the cross.
The area of each rectangle is:
\(Area_{rect} = c * b\)
The area of each triangle is:
\(Area_{tri} = (a * b) / 2 \\\\= \frac{[(c - b) * b]}{2} \\\\= \frac{ (c * b - b^{2} )}{2}\)
Since there are four triangles, the total area of the triangles is:
\(4A_{tri} = 2cb - 2b^2\ cm^2\)
Therefore, the area of the cross is:
\(A = 2A_{rect} - 4A_{rect} \\\\ = 2cb - 2b^2\)
c) c) To find b in terms of A and C, we can use the formula for the area of the cross that we found in part b:
\(A = 2cb - 2b^2\)
We can rearrange this equation to put it in the form of a quadratic equation:
\(2b^2 - 2cb + A = 0\)
This is a quadratic equation in standard form, with a = 2, b = -2c, and c = A. We can use the quadratic formula to solve for b:
b = (-b ± sqrt(b^2 - 4ac)) / 2a
b = (2c ± sqrt((2c)^2 - 4(2)(A))) / (2 × 2)
\(b=\frac{-b ± \sqrt{(b^2 - 4ac)} }{2a} \\\\b= \frac{2c ± \sqrt{(2c^2 - 4(2)c)}}{4} \\\\b= \frac{2c ± \sqrt{(4c^2 - 16A)}}{4} \\\\b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}\)
Therefore, b in terms of A and C is: \(b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}\)
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Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen
If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help.
Answer:
13
Step-by-step explanation:
2 hours = 4 inches
2/2 equals 1 hour
4/2 equals 2 inches
2 inches of snow per hour
6.5*2 is 13
you should expect 13 inches of snow in 6.5 hours
isabella Went hiking she climbed park way up a mountain and stopped to have lunch then she climbed down. which graph could represent isabelles hike
Answer:
Step-by-step explanation:
The speed one (c) is a red herring. Nothing we can see measures her speed.
The only graph that could possibly represent the right answer is D (first graph from the right). It shows that she topped 1/2 way up. It also shows that she took her time about coming down when she was at the top.
The only thing we don't know is A. What's on the vertical axis?
Which of the following is the slope of the line that is parallel to y=−12x+7?
What is 40÷8175 PLEASE HELP ME H E L P
Answer:
Step-by-step explanation: 0.00489296636 if you divided by 40 to 8175 but if you wanted 8175 divided 40 it would equal 204.375 just letting you know i used a calculator so if these aren't it then i'm not sure
Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.
1. The beginning balance of Office Supplies:
2. The amount to be adjusted (show your calculation):
3. The ending balance of the account after the adjustment (show your calculation):
4. Adjusting Journal Entry (please include description):
1.The beginning balance should be $4,000
2.The amount to be adjusted is $2554
3.The ending balance of the account after the adjustment $2554
4. Office Supplies Account is $14846
"Information available from the question"
The Office Supplies account started the year with a $4,000 debit balance
The company purchased supplies for $13,400,
The inventory of supplies available at the end of the year totaled $2,554.
Now, According to the question:
1. The beginning balance should be $4,000
2.The adjusted amount is
Opening balance = 4000
Add: New purchases = 13400
Balance after Purchase = 17400
Less: Year end balance = 2554
3. The ending balance is $2,554
4. The adjusting journal entry is
Dr. Supplies Expense Account is 14846
Adjustment in the year = Cr. 14846 (subtracted from the balance)
Office Supplies Account is 14846
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(2+0.4 + 0.6)² I have been stuck on this problem for a while
As she updates her accounting documents at the end of the accounting period, what kind of documentation does jody need to make if she discovers an unrecorded receipt for the $275 purchase of a new window?
Jody needs Adjusting Entry Documentation.
What is Adjusting Entry?
To ensure that the accounts and financial statements are accurate and up to date, adjusting entries are the adjustments that are made at the end of the month or the year to alter the values of revenues or costs either month-end or Year-end.
Here, Jody finds an unrecorded receipt that should have been added to revenue but wasn't added, so she can now make an adjustment by adding the unrecorded receipt to revenue and modifying her cash entry.
Cash is received in the unrecorded receipt, but it is not a cost because no money is being spent. Additionally, since the money has already been received but not recorded, it cannot be used to calculate accrued revenue.
Additionally, the Owner Jody is not withdrawing money from the entity for her own use, thus it will not be counted as an Owner Withdrawal.
therefore, She need to make Adjusting Entry documentation as she updates her accounting documents at the end of the accounting period.
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A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/5 of an hour. What is Elena's running speed?
Answer: 1.25 mph
Step-by-step explanation:
.25 miles per 1/5 hour = .25 miles per 12m
12m x 5 = 60m = 1 hour
.25 x 5 = 1.25 miles
So, 1.25 miles per one hour = 1.25mph
1/4 divided by 9.5 PLESA HElp ME
Answer:
0.026
Step-by-step explanation:
triangle ABC has vertices A(2,2), B(3,4), and C(5,2). Find the coordinates of the image of the triangle after a dilation centered at the origin with a scale factor of 2.5
The coordinates of the triangle image with the dilation scale factor of 2.5 is (5, 5), (7.5, 10), and (12.5, 5).
How to find the coordinates ?To find the image of a triangle after a dilation centered at the origin with a scale factor of 2.5, we need to multiply each coordinate of the vertices by the scale factor.
The image of triangle ABC after the dilation will have the following coordinates:
A' (2 x 2.5, 2 x 2.5) = (5, 5)
B' (3 x 2.5, 4 x 2.5) = (7.5, 10)
C' (5 x 2.5, 2 x 2.5) = (12.5, 5)
So the image of triangle ABC after the dilation centered at the origin with a scale factor of 2.5 is triangle A'B'C' with vertices at (5, 5), (7.5, 10), and (12.5, 5).
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HELP
16. Create an equation for the problem.
17. Combine the like terms in your equations for question 16
18. Solve for X
Answer:
x = 29
Step-by-step explanation:
the 3 angles (x + 3) , (x - 1) , (x + 1) form a right angle (90° )
sum the 3 angles and equate to 90
x + 3 + x - 1 + x + 1 = 90 ( collect like terms on left side )
3x + 3 = 90 ( subtract 3 from both sides )
3x = 87 ( divide both sides by 3 )
x = 29
Answer:
16. \((x+3)+(x-1)+(x+1)=90\)
17. \(x+3+x-1+x+1=90\\3x+3-1+1=90\\3x+3=90\)
18. \(3x+3=90\\3x=90-3\\3x=87\\x=\frac{87}{3} \\x=29\)
Suppose the correlation between height and weight for adults is r = 0.40. what proportion (or percent) of the variability in weight can be explained by its relationship with height?
The proportion of the variability in weight that can be explained by it's relationship with height is: 16% (Option C)
What is the justification for the above?It is to be noted that the Coefficient of determination of r is the square of r value.
Hence,
R² = 0.4²
= 0.16 or 16%
The proportion of the variability in weight is option (C) 16%.
Note that the easiest technique to quantify the proportion of variation in an analysis of variance is to divide the sum of squares between groups by the sum of squares total.
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Full Question:
Suppose the correlation between height and weight for adults is r = 0.40. What proportion (or percent) of the variability in weight can be explained by the relationship with height?
A. 40%
B. 36%
C. 16%
D. 60%
E. None of the above.
180-320/9 Answer me please