Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Brainlyst for the best answer thank you!
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
Pls I don't understand
The unit rate of the relationship will be 10/3. The correct option is C.
The given equation is,
y = 10/3x + 8
The general form of an equation of the line is,
y = mx + c
here, the slope will be 10/3
Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.
The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.
A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.
The unit relationship will be 10/3.
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Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary. 9-4 H 21 F J 26 25 G T
Based on the information, EFH and GHF does not have to be congruent.
What are congruent angles?Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.
The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:
angle A ≅ angle B
Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.
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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG
Can someone please help me with number 9.
9614 1404 393
Answer:
31.5 ft
Step-by-step explanation:
The length of the arc is the product of the radius of the circle, 11 ft, and the angle measure in radians. Arc PS has radian measure ...
(180° -16°)/180°×π = 41π/45
So, the length of arc PS is ...
s = rθ
s = (11 ft)(41π/45) = 451π/45 ft
s ≈ 31.5 ft
(Real-World Proportional Problems MC)
Three students have summer jobs. The proportional relationship between their pay and the hours they work is shown.
Student A:
Time (hours) 5 11
Pay (dollars) 63.75 140.25
Student B: $147.00 for 12 hours
Student C: The equation p = 12.5h, where p represents total pay and h represents hours worked
Which student is paid the most for 20 hours of work?
Student A paid the most for 20 hours of work.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
Given that;
Condition for A;
Time (hours) = 5 11
Pay (dollars) = $63.75 $140.25
Condition for B;
$147.00 for 12 hours.
Condition for C;
The equation, p = 12.5h
Where, p represents total pay and h represents hours worked
Now, For student A;
The amount of money raised for 1 hours of work will be;
⇒ $63.75 / 5
⇒ $12.75
So, The amount of money raised for 20 hours of work will be;
= $12.75 × 20
= $255
Hence, The amount of money raised for 20 hours of work = $255
For student B;
The amount of money raised for 1 hours of work will be;
= $147.00 / 12
= $12.25
Hence, The amount of money raised for 20 hours of work will be;
= $12.25 x 20
= $245
So, The amount of money raised for 20 hours of work = $245
For student C;
The amount of money raised for 1 hours of work will be;
p = 12.5h
p = 12.5 x 1
p = 12.5
Hence, The amount of money raised for 20 hours of work will be;
p = $12.5 x 20
p = $250
So, The amount of money raised for 20 hours of work = $250
Therefore,
Student A raised the least amount of money after walking 8 miles.
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Answer: Student A, who is paid $255 for 20 hours of work
Step-by-step explanation: Since Student A gains $63.75 every 5 hours, and 5 x 4 = 20, then that means this $63.75 x 4 = $255 is logical and trustworthy
Find the area of the blue-shaded region. Please help I need it asap. The answer is 20.0m squared I cannot figure out the work for it
The area of the blue-shaded region is 19.95 m²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,
Using the Pythagoras theorem,
15.5² = 14²+w² [width]
w² = 240.25-196
w² = 44.25
w = 6.65
Therefore, the width of the rectangle is 6.65 m
That mean, the height of the parallelogram is 6.65 m,
The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,
Area of the remaining region = 14×6.65-11×6.65
= 6.65(14-11) = 6.65×3
= 19.95 m²
Hence, the area of the blue-shaded region is 19.95 m²
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Please answer this and I will give u a cookie ;)
Answer:
m∠BAC = 40°
Step-by-step explanation:
Note that line BD passes through A, so ∠BAC and ∠CAD form a linear pair. By the Linear Pair Postulate, ∠BAC and ∠CAD are supplementary angles, and by definition their measures add to 180°:
m∠BAC + m∠CAD = 180°
Since the diagram gives us that m∠CAD = 140°, we can substitute and solve:
Starting supplementary angles definition equation ...
m∠BAC + m∠CAD = 180°
Substituting the known value of m∠CAD ...
m∠BAC + (140°) = 180°
Subtracting 140° from both sides of the equation...
(m∠BAC + 140°) - 140° = (180°) - 140°
Simplifying/evaluating...
m∠BAC = 40°
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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The general solution of e x cosydx−e x sinydy=0 is :__________
Answer:
General solution x = log | sec y | + C
Step-by-step explanation:
Step(i):-
Given
\(e^{x} cosy dx - e^{x} sin y d y = 0\)
\(e^{x} (cosy dx = e^{x} sin y d y\)
cos y dx = sin y d y
\(dx = tan y d y\)
Step(ii):-
now integrating on both sides , we get
\(\int\limits {1} \, dx = \int\limits {tany} \, dy\)
by using formula
\(\int\limits {tany} \, dy = log | sec y | + C\)
x = log | sec y | + C
Final answer:-
General solution x = log | sec y | + C
I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1
What is the simplified expression for x-(x+7)
At a certain bakery, the price of each doughnut is $1.S0. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of' D are 2.6 doughnuts and 3.6(doughnuts) respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P? (A) 1.5(3.6) 1.513.6 Vi.5(3.6) 1.502.6) 1.512.6
The standard deviation of the probability distribution for the given price of each doughnut and the variance is equal to $√1.50 × 3.6.
Price of the each doughnut 'P' = $1.50
Expected value of the probability distribution of the doughnut = 2.6
Variance of the probability distribution = 3.6
Price of the variance of the probability distribution is equal to
= Price of each doughnut × Variance
= 1.50 × 3.6
Standard deviation of the probability distribution is equal to
= √ Price of the variance of the probability distribution
= √1.50 × 3.6 dollars.
Therefore, the standard deviation of the probability distribution is equal to
$√1.50 × 3.6.
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38% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
a) Probability that the number of college students who say they use credit cards because of the rewards program is exactly two is;
P(X = 2) = 0.1419
b) Probability that the number of college students who say they use credit cards because of the rewards program is more than two is;
P(X > 2) = 0.9402
c) Probability that the number of college students who say they use credit cards because of the rewards program is between two and five inclusive is; P(2 ≤ X ≤ 5) = 0.8054
How to solve binomial probability distribution problems?The formula for Binomial Probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
where;
p is probability of success
n is number of trials
x = the number of expected successful outcomes
We are given;
p = 38% = 0.38
n = 10
Thus;
a) Probability that the number of college students who say they use credit cards because of the rewards program is exactly two is;
P(X = 2) = 10C2 * 0.38^(2) * (1 - 0.38)^(10 - 2)
P(X = 2) = 0.1419
b) Probability that the number of college students who say they use credit cards because of the rewards program is more than two is;
P(X > 2) = 1 - P(X ≤ 2)
P(X > 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]
P(X > 2) = 0.9402
c) Probability that the number of college students who say they use credit cards because of the rewards program is between two and five inclusive is;
P(2 ≤ X ≤ 5) = [P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)]
P(2 ≤ X ≤ 5) = 0.8054
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Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
Next
Submit
Mark this and return
Answer: C D B
Step-by-step explanation:
JUST TOOK THE TEST ON ENDEGENUITYYYYY
The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.What are ratios?Ratios are fractional values representing relations between two quantities.
What are proportions?When two ratios are equal, they are said to be in proportion.
What is a scale factor?The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.
How to solve the given question?In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.
We analyze each statement:
Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.∴ The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.Learn more about Proportions at
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The following number lines are missing some numbers. Sketch each one on your paper and use the information provided to complete the number lines. a. b. c. d.
The numbers that are missing to complete the number lines are -18,-6,0,12,18 (a), -36,-18,-9, 9, 18, 27, 36(b),-700,-350,350,1050,1400,1750 (c).
What are number lines?In maths and related areas, number lines can be defined as horizontal lines that have numbers placed on them. Moreover, the numbers are placed at equal distances and follow a pattern; for example, 1,2,3,4, etc. or 5,10,15, etc.
How to complete the number lines?Understand the sequence and complete them:
A. The numbers have an interval of 6. Then -18,-12,-6,0,6,18
B. The numbers have an interval of 9. Then: -36,-27,-18,-9,0,8,18,27,36
C. The numbers have an interval of 350. Then: -700, - 350, 0, 350, 700, 1050, 1400, 1750.
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What is the length of the line?
Answer:
B) 5
Step-by-step explanation:
The points are (2,2) and (6,5). Subtract both Y's and X's and then square the answers and add. you should get 25, which has a square root of 5.
Help please!!!!!!!!!!!!!!!!
Find the area of the triangle.
b ft
h yd
Question content area bottom
Part 1
The area of the triangle is
enter your response here or
enter your response here .
The area of the triangle is 52.32 square units
Finding the area of the trianglefrom the question, we have the following parameters that can be used in our computation:
The triangle (see attachment)
The base of the triangle is calculated as
base = 12 * tan(36)
The area of the triangle is then calculated as
Area = 1/2 * base * height
Where
height = 12
So, we have
Area = 1/2 * base * height
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 12 * tan(36) * 12
Evaluate
Area = 52.32
Hence, the area of the triangle is 52.32 square units
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10 pts Question 4 A horizontal line passing though the origin that includes both positive and negative numbers is called Y-Axis O X-Axis Point Ordered Pair 4 Previous Next >
then A If it’s a horizontal line passing through
derivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
Look at question on the image
Answer: 170
Step-by-step explanation:
The formula for the area of a triangle is 1/2bh, where b is the base length, and h is the height.
So- Essentially you’d just need to plug in the variables to solve this. the semicircle on the bottom serves to tell you the base length.
1/2(20)(17)
170
PLEASE I NEED THE ANSWER TO 1 + 1
Answer:
uhhhhh 3
Step-by-step explanation:
Step-by-step explanation: I know, hardest question known to man.
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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A real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged,” meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the five staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers.
The agent tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 < 0, where μ1 = the true mean selling price of all comparable empty homes and μ2 = the true mean selling price of all comparable staged homes. Are the conditions for inference met for carrying out a t-test for a difference in means?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all of the conditions for inference have been met.
Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.
Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.
The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.
The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.
The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.
Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.
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The figure below is a net for a cube. 16.3
In order to find the surface area we can use the next formula
\(SA=6s^2\)where s is the measure of the side.
In our case we have
s= 16.3m
we substitute the value in the formula
\(SA=6(16.3)^2=1594.14m^2\)41
Which of the following is the first step in estimating the line of best fit on a scatter plot graph?
Place two x's centered in each half of the data points
Plotting the data on the graph
Circle the data points
Divide the data vertically
Answer:
place two X's centered in each half of the data points
The water was pumped out of a backyard pond. What is the domain of this graph?
Find the enclosed area within the boundaries defined by the equations
x = 2y^2− 6, x = 2 − 1/3y, y= 7 and y= −3. Can someone help me plss
Answer: sorry I can't help you
Step-by-step explanation:
The enclosed area can be found by plotting the given equations, finding the points of intersection, establishing the boundaries, and then calculating the integral of the difference between the two functions within these boundaries.
∫7-3[ (2-1/3*y) - (2y² - 6) ] dy
Explanation:
To find the enclosed area within the boundaries defined by the equations x = 2y²- 6, x = 2 – 1/3y, y= 7 and y= -3, you would firstly have to plot these equations on a plane, observe their intersection points and identify the boundaries of the area enclosed.
Then, the enclosed area can be calculated by integrating the difference between the two functions within those points where y = -3 to y = 7. Once you've done that, you calculate the definite integral of each of the functions separately from y = -3 to y = 7 and subtract the results. Here's the computation:
∫7-3[ (2-1/3*y) - (2y² - 6) ] dy
Calculating this integration will give you the area enclosed within the boundaries defined by these equations.
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Which means "p decreased by 75"?