She bought a total of 2 3/4 pounds.
We have,
3/4 pound of yogurt-covered raisins,
5/8 pound of white chocolate raisins,
and 1 3/8 pounds of dark chocolate raisins.
She bought a total of
= 3/4 + 5/8 + 1 3/8
= 6/8 + 5/8 + 11/8
= 22/8
= 11/4
= 2 3/4 pounds
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She can buy 11/4 pounds of raisins.
Given that;
Sandy buys 3/4 pound of yogurt-covered raisins,5/8 pound of white chocolate raisins, and 1 3/8 pounds of dark chocolate raisins.
Hence, Total raisin she buy is,
⇒ 3/4 + 5/8 + 1 3/8
⇒ 6/8 + 5/8 + 11/8
⇒ 22/8
⇒ 11/4 pounds
Thus, She can buy 11/4 pounds of raisins.
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the ratio of a model car to a regular car is 1 :16 the model is 6.25 inches long what is the length of the actual car in feet and inches?
PLEASE HELP AND SHOW WORK!!!
using the graphing method to solve the equation 13(0.25)^x=7 Round your answer to the nearest thousandth
Answer:
x = 0.447
Step-by-step explanation:
You need to use your graphing calculator for this.
In y=, put 13(0.25)^x in Y1 and put 7 in y2. Using 2nd trace, find the intersections.
The answer I got was x = 0.447.
data from central hudson labs determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. assume the number of fragments (contaminants) follows a poisson distribution. (a) if you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
The probability of finding 0 contaminated pieces in 225 g of chocolate is 5.57 X 10⁻⁷.
Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.
Hence we get X ~ Poi(λt)
where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.
For P(X = x) we get [(λt)ˣ e^(-λt)]/x!
Here λ = 14.4 and t = 1 Hence we will get
P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!
Here we need to find the probability of the no. of contaminated pieces = 0
Therefore
P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!
Hence the probability of finding 0 contaminated pieces in a bar of chocolate is
P(X = 0) = e⁻¹⁴°⁴
= 5.57 X 10⁻⁷
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The graph shows a polynomial function. The domain of the function is -4.2 ≤x≤4.7. What is the range of the function?
Answer: :( I don’t know how to solve the problem
Step-by-step explanation:
The scale factor of two similar hexagons is 3:7.
The area of the smaller hexagon is 18 m2.
What is the volume of the larger hexagon
Possible answers
98 m2
324 m2
42 m2
36 m2
5832 m2
Answer:
Since the hexagon is a 2D shape, it does not have volume. We can find the area of a hexagon but not its volume.
Step-by-step explanation:
The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. In this case, since the figures are hexagons, we can use the ratio of their corresponding side lengths to find the ratio of their areas.
Since the scale factor of the hexagons is 3:7, we know that the ratio of their side lengths is also 3:7. Therefore, the ratio of their areas is:
(3/7)^2 = 9/49
We are given that the area of the smaller hexagon is 18 m^2, so we can use this to find the area of the larger hexagon:
(area of larger hexagon) = (area of smaller hexagon) x (ratio of areas)
(area of larger hexagon) = 18 x (9/49)
(area of larger hexagon) = 3.28 m^2 (rounded to two decimal places)
Since the hexagon is a 2D shape, it does not have volume. We can find the area of a hexagon but not its volume.
Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 4 days. It cost $35 per day to rent the tiller. She also buys a rake for $9.A. Find the change to the value on the gift card. (Question #1)
B. The original amount on the gift card was $200. Does Arleen have enough to buy a Wheelbarrow for $50?
Answer:
A. The total change in the value on the gift card will be -149$
B. Yes, Arleen has enough to buy a Wheelbarrow for 50$
Step-by-step explanation:
A.
To calculate the total change in value of the gift card we need to sum all expenses.
4 days of rental + cost of the rake = total change in value
(4 * -35$) - 9$ = -149$
B.
If the value of the gift card was 200$, then we have to subtract the expenses from the gift card value and check whether we have enough to buy a Wheelbarrow.
200$ - 149$ = 51$ > 50$
There were 200 members at a skating club. Membership dropped by 30%. How many members are there now?
Answer:
140 members
Step-by-step explanation:
find 70% of 200
Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?
Answer:
Raul has greatest batting average. Jaden has least batting average.Step-by-step explanation:
Convert all the batting averages to a single unit so that comparison is easier.
Use percentages.
Jaden batting average:
= 0.214 = 214/1,000 = 21.4%
Raul = 24.3%
Abraham:
= 2 / 9 * 100%
= 22.2%
Mark = 22%
Raul has the greatest batting average.
Jaden has the least batting average.
What is the difference of (5 + 3i) and (2 + 9i)?
Step-by-step explanation:
(5+3i)-(2+9i)
= 5 +3i - 2 -9i
= 5-2 +3i -9i
= 3 -6i
= 3( 1- 2i) [ 3 is taken as common]
this is the answer
The difference of (5 + 3i) and (2 + 9i) would be; 3( 1- 2i).
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part. Complex value z is written in a rectangular form as z = x+iy where (x, y) is the rectangular coordinates.
WE are asked to find the difference between (5 + 3i) and (2 + 9i).
Thus, (5+3i)-(2+9i)
= 5 +3i - 2 -9i
= 5-2 +3i -9i
= 3 -6i
= 3( 1- 2i) [ 3 is taken as common]
Therefore, the difference of (5 + 3i) and (2 + 9i) would be; 3( 1- 2i).
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What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4
Answer:
-2
Step-by-step explanation:
3n+2n+4=9n+12
5n+4=9n+12
5n-9n=-4+12
-4n=8
n=8/-4
n= -2
Answer:
-2
Step-by-step explanation:
I got this right in my assignment.
One angle of an isosceles triangle measures 68°. Which other angles could be in that isosceles triangle
Answer:
68°
Step-by-step explanation:
A triangle with two sides of equal length is an isosceles triangle.✨
hope you have a great day.
What is an algebraic expression for 16 more than the product of 43 and a number?
A: 16 − 43y
B: 43y(16)
C: 43y − 16
D: 43y + 16
The algebraic expression that can be represented by the statement is 43y + 16
How to make a algebraic expression that can be represented by the statement?From the question, we have the following statement that can be used in our computation:
16 more than the product of 43 and a number
Represent the variable with y
So, we have the following representation
16 more than the product of 43 and y
Express the product as an actual product
So, we have the following representation
16 more than 43y
more than as used here means addition
So, we have
43y + 16
Hence, the expression is (d) 43y + 16
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Answer: 43y + 16
Step-by-step explanation:
i did the test
Plz help it is 10 points
Oh please first if the rectangle was compete, it's area would be 8.
The area of the missing triangle is \(\frac{2*2}{2}\)=2.
8-2=6
And there you go! Your answer is 6.
I run a business. It costs £54,000 a year. Most of the money goes on paying wages. The ratio of wages to other costs is 2 : 1. How much do I spend on wages every year?
Answer:
2 × 54,000 ÷ (1+2)
£36,000
Step-by-step explanation:
Total cost of the business = £54,000
wages : other costs = 2 : 1
Total ratio = 2 + 1 = 3
How much do I spend on wages every year?
Amount spent on wages yearly = ratio of wages / total ratio × Total cost of the business
= 2 × 54,000 ÷ (1+2)
= 2/3 × £54,000
= £108,000/3
= £36,000
Amount spent on wages yearly = £36,000
24 more than Holly's age is 67
Answer:
This question isn't really complete, but if you're asking what Holly's age is, then that's just 67 - 24, which is 43.
So Holly is 43, if that's the question.
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(h + 24 =67\)
\(h = 43\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We are given that 24 more than Holly's age is 67.⸻⸻⸻⸻
\(\boxed{\text{Setting up an equation:}}\\\\\text{'24 more than Holly's age'} \rightarrow h + 24\\\\\text{'is 67'} \rightarrow = 67\\\\\boxed{h + 24 = 67}\)
⸻⸻⸻⸻
\(\boxed{\text{Solving for 'h'...}}\\\\h + 24 = 67\\-------------\\\rightarrow h + 24 - 24 = 67 - 24\\\\\rightarrow \boxed{h=43}\\\\\\\text{Holly should be 43 years old.}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
review the proof step statement 1 cos(2x) = 1-sin^2(x)
Answer:
Option (3)
Step-by-step explanation:
Correct steps for the proof are,
Step Statement
1 cos(2x) = 1 - 2sin²(x)
2 Let 2x = θ
3 x = \(\frac{\theta}{2}\)
4 \(\text{cos}\theta = 1 - 2\text{sin}^2(\frac{\theta}{2} )\)
5 \(\text{cos}\theta-1 =-2\text{sin}^2(\frac{\theta}{2} )\)
6 \(1-\text{cos}\theta =2\text{sin}^2(\frac{\theta}{2} )\)
7 \(\frac{1-\text{cos}\theta}{2} =\text{sin}^2(\frac{\theta}{2} )\)
8 \(\pm \sqrt{\frac{1-\text{cos}\theta}{2} }=\text{sin}(\frac{\theta}{2} )\)
There is a mistake in step 6.
Therefore, Option (3) will be the answer.
Help
ASAP
I’ll mark
You as brainlister
how did you get the product of sum and differences of terms?
Answer:
Step-by-step explanation:
The the terms be x and y
The sum of the terms = x+y
Difference of terms = x-y
Product of the sun and differences will be expressed as:
(x-y)(x+y) = x²-xy+xy-y²
(x-y)(x+y) = x²-y²
Hence the product of the terms is equivalent to the difference of two squares of the terms
Find the value of the expression:
2c2+3 for c=–11; 0; 15
Answer:
245, 3, 453
Step-by-step explanation:
-11 squared = 121
121 multiplied by 2 = 242
242 + 3 = 245
0 squared is 0
0 multiplied by 2 = 0
0 + 3 = 3
15 squared is 225
225 multiplied by 2 = 450
450 + 3 = 453
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what is pemdas? algebra 1
Answer:
p=Parentheses
e=Exponents
m=Multiplication
d=Division
a=Addition
s=Subtraction
its an order of solving a equation
Please help, I do not understand this
Answer:
Step-by-step explanation:
The sin(30) = 1/2
The sin(30) = 1/2 = opposite / hypotenuse
Opposite = 7
hypotenuse = opposite / sin(30)
hypotenuse = 7 / (1/2) = 7 *2 / 1 = 14
The long side can be found using the Pythagorian Theorem.
a^2 + b^2 = c^2
a = 7
b = ?
c = 14
14^2 = 7^2 + b^2
196 - 49 = b^2
147 = c^2
147 = 3*7 *7
sqrt(b^2) = sqrt(3*7*7)
b = 7 sqrt(3)
Heeeelppppppp meee pleeease
Step-by-step explanation:
as there are only 3 types of discontinuity overall : A, B and C.
there is no fourth, so D is out.
to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.
5x + 4, x = 2
5×2 + 4 = 14
this is finite and a well-defined number.
2 - x, x = 2
2 - 2 = 0
this is again finite and well-defined.
but it is different from 14 above.
there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.
none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.
but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.
so, yes, it is a jump. C is right.
If begin alpha is changed from 0.01 to 0.05, which of the following is true? I. The probability of a Type I error goes up II. The p-value goes up.
The correct answer is I. The probability of a Type I error goes up
If the significance level, or begin alpha, is changed from 0.01 to 0.05, the probability of a Type I error increases. This is because the researcher is now more willing to reject the null hypothesis and declare a significant effect even when there isn't one.
However, changing the significance level does not necessarily affect the p-value. The p-value is a measure of the strength of evidence against the null hypothesis, and is calculated based on the data and the chosen significance level. It is possible for the p-value to go up or down depending on the data, even if the significance level remains constant.
Therefore, the correct option is I. The probability of a Type I error goes up.
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Which of the following represents a nonlinear function?
A) y= 5x +7
B) y = x2
C) y=-2x
D) y=x
Answer:
y=x^2
Step-by-step explanation:
Answer:
y=x2
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply.
4
6
5
U A. 25
I B. 26
OC. 21
D. 24
O E. 22
F. 23
The angles that are exterior angles in the given diagram are:
A. ∠5
B. ∠6
E. ∠2
F. ∠3
What is an Exterior Angle?An exterior angle can be described as an angle that is formed between the side of a polygon and the adjacent side that extends out of the polygon.
From the image given, ∠2, ∠3, ∠5, and ∠6 are angles formed between a side of the triangle and an extended side.
Therefore, the exterior angles are:
A. ∠5
B. ∠6
E. ∠2
F. ∠3
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Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
Step-by-step explanation:
Let's make the number we're finding to be \(a\). So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be \(\frac{a}{4} +12\\\). It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be \(\frac{a}{3} -5\\\). Since they are the same, we have the equation below.
\(\frac{a}{4} +12 = \frac{a}{3} -5\\\)
All we have to do now is to find \(a\).
\(\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204\)
Answer:Our number must be \(204\). I think
square pqrs has sides of length $4$, and $m$ is the midpoint of $\overline{rs}$. a circle centered at $m$ with radius $2$ intersects the circle centered at $p$ with radius $4$ at points $n$ and $s$. what is the distance from $n$ to $\overline{ps}$?
The distance between N and PS is 3.2.
What is the midpoint of the segment?
Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.
From the below figure,
N is the intersection of the red and blue circles.
I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).
Then the formula for the red circle is:
(x-2)² + (y-4)² = 4.
The formula for the blue circle is
x² + y²- 16 = 0.
Solving for x and y yields intersections
(0, 4) and (3.2, 2.4),
the first being S and the latter being N.
Hence, the distance between N and PS is 3.2.
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M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
expressions is equal to 2(40 - p)?
How Solve the following questions (write all steps). Q1: Use the following data to find a recursive Nevill's method When interpdating table using Polynomial at x-4.1 f(x) X 36 1.16164956 3.8 080201036 4.0 0.30663842 4.2 035916618 -123926000. 4.4 Q2: Construct an approximation polynomial for the following data using Hermite method. 1 f(x) f'(x) x 1.2 2.572152 7.615964 1.3 3.60 2102 13-97514 1.4 5.797884 34.61546 1.5 14.101442 199.500 - Good Luck -
To find a recursive Nevill's method when interpolating a table using a polynomial at x = 4.1, we can use the following steps:
Step 1: Set up the given data in a table with two columns, one for f(x) and the other for x.
f(x) x
36 1.16164956
3.80201036 4.0
0.30663842 4.2
0.35916618 -123926000.4
Step 2: Begin by finding the first-order differences in the f(x) column. Subtract each successive value from the previous value.
Δf(x) x
-32.19798964 1.16164956
-3.49537194 4.0
-0.05247276 4.2
Step 3: Repeat the process of finding differences until we reach a single value in the Δf(x) column. Continue subtracting each successive value from the previous one.
Δ^2f(x) x
29.7026177 1.16164956
3.44289918 4.0
Step 4: Repeat Step 3 until we obtain a single value.
Δ^3f(x) x
-26.25971852 1.16164956
Step 5: Calculate the divided differences using the values obtained in the previous steps.
Divided Differences:
Df(x) x
36 1.16164956
-32.19798964 4.0
29.7026177 4.2
-26.25971852 -123926000.4
Step 6: Apply the recursive Nevill's method to find the interpolated value at x = 4.1 using the divided differences.
f(4.1) = 36 + (-32.19798964)(4.1 - 1.16164956) + (29.7026177)(4.1 - 1.16164956)(4.1 - 4.0) + (-26.25971852)(4.1 - 1.16164956)(4.1 - 4.0)(4.1 - 4.2)
Solving the above expression will give the interpolated value at x = 4.1.
Q2: To construct an approximation polynomial using the Hermite method, we follow these steps:
Step 1: Set up the given data in a table with three columns: f(x), f'(x), and x.
f(x) f'(x) x
2.572152 7.615964 1.2
3.602102 13.97514 1.3
5.797884 34.61546 1.4
14.101442 199.500 1.5
Step 2: Calculate the divided differences for the f(x) and f'(x) columns separately.
Divided Differences for f(x):
Df(x) \(D^2\)f(x) \(D^3\)f(x)
2.572152 0.51595 0.25838
Divided Differences for f'(x):
Df'(x) \(D^2\)f'(x)
7.615964 2.852176
Step 3: Apply the Hermite interpolation formula to construct the approximation polynomial.
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