Answer:
12 kilograms costs $14.40.
Solve the equation:
64 x 216^x =54^x
Answer:
x=1/256
Step-by-step explanation:
hope it helps you
explain why angle 1 and 3 are not alternate exterior angles
Answer:
I'm pretty sure it's because they have to be congruent, meaning they are the same size and these aren't
(I think)
Grayson biked 45 miles in 3 hours Maya biked 26 miles in 2 hours. if they both kept a constant speed, how much faster did Grayson bike than Maya?
PLEASE HELP ASAP
The speeds of both Grayson and Maya can be found using the equation:
distance/time
So 45/3
and
26/2
Grayson was going 15mph while Maya was going 13mph
So Grayson was going 2mph faster than Maya
to win at lotto in a certain state, one must correctly select 6 numbers from a collection of 50 numbers (one through 50.) the order in which the selections is made does not matter. how many different selections are possible?
There are 15890700 different selections to win at lotto at a certain state.
To find the number of different selections that are possible, you can use the combination formula. The combination formula is:
C(n , r) = n! / (r! × (n - r)!)
where C(n , r) represents the number of combinations, n represents the total number of items, and r represents the number of items being chosen at a time.
In this case, n is 50 and r is 6, so the number of different selections is:
C(50 , 6) = 50! / (6! × (50 - 6)!) = 50!/6!44! = 15890700
Therefore, there are 15890700 different selections that are possible.
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Help pls 6th grade math i will give brainliest
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10 x 2 = 20
Marissa says that lines a and d will eventually intersect.
Is she correct? Explain.
Q
yes, because they are on the same plane
O yes, because they are perpendicular
O no, because they are parallel
O no, because they are skew
Intro
Done
Answer:
d) no because they are skew
Step-by-step explanation:
e2020
Answer:
It's D
Step-by-step explanation:
A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in the same plane. If they aren't in the same plane, they can't intersect.
4+3÷3(67)-5×8
What is the answer
19. The average yearly income for 28 married couples living
in city C is $58,219. The standard deviation of the sample is
$56. Find the 95% confidence interval of the true mean.
20. The number of unhealthy days based on the AQI
Answer:
\(\{58198.2573,58239.7427\}\)
Step-by-step explanation:
We assume that the following conditions are true before constructing the confidence interval:
Assumption #1: Random Sampling.
Assumption #2: Independence.
Assumption #3: Large Sample.
Assumption #4: The 10% Condition (sample size is no bigger than 10% of population
Assumption #5: The Success / Failure Condition.
Assumption #6: Homogeneity of Variances.
A 95% confidence level correlates to a critical value of \(z^*=1.96\), hence:
\(\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=58219\pm 1.96\biggr(\frac{56}{\sqrt{28}}\biggr)\\\\CI=58219\pm20.7427\\\\CI=\{58198.2573,58239.7427\}\)
Therefore, we are 95% confident that the true mean of the average yearly income for a married couple living in city C is between $58,198.2573 and $58,239.7427
Use the fourier transform analysis equation (5.9) to calculate the fourier transforms of:
(a) (½)^n-1 u[n-1]
(b) (½)^|n-1|
We will use Equation (5.9) of Fourier transform analysis to calculate the Fourier transforms of the given sequences: (a) (½)^(n-1)u[n-1] and (b) (½)^|n-1|. F(ω) = Σ (½)^(n-1)e^(-jωn) for n = 1 to ∞. F(ω) = Σ (½)^(n-1)e^(-jωn) for n = -∞ to ∞
(a) To calculate the Fourier transform of (½)^(n-1)u[n-1], we substitute the given sequence into Equation (5.9). Considering the definition of the unit step function u[n-1] (which is 1 for n ≥ 1 and 0 for n < 1), we can rewrite the sequence as (½)^(n-1) for n ≥ 1 and 0 for n < 1. Thus, we obtain the Fourier transform as:
F(ω) = Σ (½)^(n-1)e^(-jωn)
Evaluating the summation, we get:
F(ω) = Σ (½)^(n-1)e^(-jωn) for n = 1 to ∞
(b) To calculate the Fourier transform of (½)^|n-1|, we again substitute the given sequence into Equation (5.9). The absolute value function |n-1| can be expressed as (n-1) for n ≥ 1 and -(n-1) for n < 1. Thus, we have the Fourier transform as:
F(ω) = Σ (½)^(n-1)e^(-jωn) for n = -∞ to ∞
In both cases, the specific values of the Fourier transforms depend on the range of n considered and the values of ω. Further evaluation of the summations and manipulation of the resulting expressions may be required to obtain the final forms of the Fourier transforms for these sequences.
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Data Set A has a mean of 215 and a standard deviation of 35. Data Set B has a mean of 400 and a standard deviation of 12.
Which data set is more spread out?
Answer:
Data set A
Step-by-step explanation:
Data set A is the one that is more spread out.
The mean is the same as the average of a given sample. It is usually a measure of the central tendency of a data set.
Standard deviation is a measure of the spread of a given set of data.
The lower the value of the standard deviation, the more clustered around the mean a data is. Data is spread out if it has a higher value of standard deviation.Since data set A has a standard deviation of 35, it the most spread out.
The diagram shows a triangle.
76
P+49
P+13
What is the value of p?
Answer:
40
Step-by-step explanation:
76p+49p+13
=(76-49)p+13 [ plus (+) plus = minus(-) ]
=27p+13
=40p or p=40 ans
Find the H.C.F. of 567 and 255 using Euclid’s division lemma.
Step-by-step explanation:
To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:
Step 1: Apply Euclid's division lemma:
Divide the larger number, 567, by the smaller number, 255, and find the remainder.
567 ÷ 255 = 2 remainder 57
Step 2: Apply Euclid's division lemma again:
Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.
255 ÷ 57 = 4 remainder 27
Step 3: Repeat the process:
Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.
57 ÷ 27 = 2 remainder 3
Step 4: Continue until we obtain a remainder of 0:
Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.
27 ÷ 3 = 9 remainder 0
Since we have obtained a remainder of 0, the process ends here.
Step 5: The H.C.F. is the last non-zero remainder:
The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.
Therefore, the H.C.F. of 567 and 255 is 3.
a rectangle's length is 5cm more than its width, if it has an area of 336 cm squared find the length
The length of the rectangle is 19 cm.
The formula for the area of a rectangle,
Area = Length x Width
Given that the area is 336 cm squared.
So, we can set up an equation,
⇒ 336 = (w + 5)w
where w represents the width of the rectangle.
Expanding this equation,
⇒ 336 = w² + 5w
Moving all terms to one side:
⇒ w² + 5w - 336 = 0
This is a quadratic equation that we can solve using the quadratic formula,
⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))
⇒ w = (-5 ± 23) / 2
We'll take the positive value,
⇒ w = 14
So, the width of the rectangle is 14 cm.
We also know that the length is 5 cm more than the width,
Therefore,
⇒ l = w + 5
⇒ l = 14 + 5
⇒ l = 19
Therefore, the length of the rectangle is 19 cm.
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Find the volume of the composite shape to the right to the nearest while number
find an equation of the plane tangent to the following surface at the given point. 8xy 5yz 7xz−80=0; (2,2,2)
To find an equation of the plane tangent to the surface 8xy + 5yz + 7xz − 80 = 0 at the point (2, 2, 2), we need to find the gradient vector of the surface at that point.
The gradient vector is given b
grad(f) = (df/dx, df/dy, df/dz)
where f(x, y, z) = 8xy + 5yz + 7xz − 80.
Taking partial derivatives,
df/dx = 8y + 7z
df/dy = 8x + 5z
df/dz = 5y + 7x
Evaluating these at the point (2, 2, 2), we get:
df/dx = 8(2) + 7(2) = 30
df/dy = 8(2) + 5(2) = 26
df/dz = 5(2) + 7(2) = 24
So the gradient vector at the point (2, 2, 2) is:
grad(f)(2, 2, 2) = (30, 26, 24)
This vector is normal to the tangent plane. Therefore, an equation of the tangent plane is given by:
30(x − 2) + 26(y − 2) + 24(z − 2) = 0
Simplifying, we get:
30x + 26y + 24z − 136 = 0
So the equation of the plane to the surface at the point (2, 2, 2) is 30x + 26y + 24z − 136 = 0.
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Use the method of undetermined coefficients to find one solution ofy′′−9y′+26y=1e5t. y= ?
Y = (1/6)*e^5t is differential equation .
What exactly does differential equation mean?
An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.
Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.
y′′−9y′+26y=e^(5t)
The characteristice equation of the differential equation is : r^2 -9r +26 =0
On solving we get the values of r=4.5 + 2.34i (z1) , 4.5 - 2.4i(z2)--- (complex roots)
homogeneous solution is: yh = c1e^z1t + c2e^z2t
Plug Y = Ae^5t in the ODE:
= 25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)
25A -45A +26A =1 ; 6A = 1; A =1/6
Y = c1e^z1t + c2e^z2t is a general solution but we wnata particular solution
So, simply Y = (1/6)*e^5t
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mendel accounted for the observation that traits which had disappeared in the f1 generation reappeared in the f2 generation by proposing that (fill in the blank)
Traits can be dominant or recessive, and the recessive traits were obscured by the dominant ones in the F1 generation.
Given,
In the question:
Mendel accounted for the observation that traits which had disappeared in the f1 generation reappeared in the f2 generation by proposing that___
Now, According to the question:
Fill up the above blank:
Mendel accounted for the observation that traits which had disappeared in the f1 generation reappeared in the f2 generation by proposing that__
Solution:
In the Mendel’s experiment, some traits which were absent in the F1 generation appeared in the second generation cross. By this he concluded, that the traits expressed in the F1 generation were dominant and hence they capped the expression of traits associated with recessive allele. He classified the traits in F2 generation as recessive, because these traits can occur only when they are in pair i.e they form individuals with homozygous recessive genotype.
For instance – If “R” is allele for dominant red color trait and “r” is the allele for recessive white color trait, then the cross between true breeding red flowers and white flowers will produce following offspring
RR * rr
Rr, Rr, Rr, Rr
Thus, in F1 generation all the offspring are heterozygous red
F2 generation-
Rr * Rr
RR, Rr, Rr, rr
The recessive trait of white colored flower reappears in second generation.
Hence, Traits can be dominant or recessive, and the recessive traits were obscured by the dominant ones in the F1 generation.
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Students can choose water, milk, or juice for lunch. The graph shows student drink choices from yesterday's lunch. What is the experimental probability that a student will choose juice for lunch?
a. 20%
b. 13%
c. 70%
d. 60%
Answer:
for me its b.
Step-by-step explanation:
because its up to 5% to 12%
Find remaining zereos of fdegree: 3, i, -7 i
1 - According to the conjugate zeros theorem if a complex number is the root of a polynomial its conjugate is a root as well.
2 - So the conjugates of i, -7i would be
-i, 7i, so
-i , 7i would ALSO be roots of the polynomial according to the conjugates zeros theorem and those are the two roots we were missing.
for a lower tail test, the test statistic z is determined to be zero. what is the p-value for this test?
0.5 is the p-value for this Z -test .
What is the Z test's p-value?
For each test, the p-value is the likelihood that the null hypothesis will be correct, which is expressed as the probability of receiving a z-value . an absolute value at least as great as the one we actually observed in the sample data.P-value, or probability value, is the likelihood that a statistic will be at least this distant from the mean if the null hypothesis is assumed to be true. So it can be thought of as a conditional probability, to put it another way.For a lower tail test, the test statistic z is determined to be zero that means
P(z<0)
Then p-value is
p-value = P(z<0) = 0.5 (From z score table )
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If Lin runs 16 laps at the same rate, how long does it take her?
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
Help pleaseee Im trying to get an A in class
Answer:
191
Step-by-step explanation:
Sorry it's sideways. I drew a box chart for this. First, fill in what you know: the number of white and black beads Ally has. Then, calculate how many black beads Betty has (Ally's number, 59, minus 35.) 59-35 = 24.
They tell you the total number of beads is 346. Add up Ally's total to get 131, then subtract that from 346. That's Betty's total beads, 215.
Last, subtract the 24 black beads Betty has from the 215 total to get 191.
For the sales tax on the laundry soap, Kiran says it should be $0.84. Lin says it should be $0.87. Do you agree with either of them? Explain your reasoning
Answer:
Needs more detail
when you enter a formula with more than one mathematical operation, the formula is not necessarily calculated left to right because excel calculations follow the mathematical rules called the .
Answer:
order of operations
Step-by-step explanation:
When you enter a formula with more than one mathematical operation, the formula is not necessarily calculated left to right because excel calculations follow the mathematical rules called the order of operations.
Please this question is very URGENT!!!!!!!. Please I really need help. answer all questions.
The question in number 60 is a statistical survey shows that 3 out of every 10 women wear size 14 dress. what is the probability that a woman chosen at random does not wear a size 14. and the options in number 60 is
\( \frac{3}{10} \: \: \frac{7}{10} \: \: \frac{3}{14} \: \: \frac{1}{2} \)
Answer all questions.
In question 58 the expression in between p and q is 4m + 15 and the one in between r and s is 5m - 10 and the options in this question 58 is in degrees.
Please answer all questions
The value of m is 25.
In a regular polygon with 20 sides, there are 18 triangles.
The probability that a woman chosen at random does not wear a size 14 dress is 7/10.
We have,
58.
4m + 15 and 5m - 10 are corresponding angles.
So,
4m + 15 = 5m - 10
15 + 10 = 5m - 4m
25 = m
m = 25
59.
In a regular polygon with n sides, the number of triangles that can be formed by connecting any three vertices (corners) of the polygon is given by the formula:
Number of triangles = (n-2)
For a regular polygon with 20 sides,
Number of triangles = (20 - 2) = 18
60.
Given that 3 out of every 10 women wear size 14 dresses, the probability of a woman wearing a size 14 dress is 3/10.
Probability of not wearing a size 14 dress = 1 - Probability of wearing a size 14 dress
Probability of not wearing a size 14 dress = 1 - 3/10
Probability of not wearing a size 14 dress = (10/10) - (3/10)
Probability of not wearing a size 14 dress = 7/10
Therefore,
The value of m is 25.
In a regular polygon with 20 sides, there are 18 triangles.
The probability that a woman chosen at random does not wear a size 14 dress is 7/10.
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PLEASE HELPPPPPPP ASAPPP
Using PT in the Coordinate System
Find the length of the legs.
(4.4)
(-2,-2)
[?]
Enter the number that
belongs in the green box.
Answer:
6 units
Step-by-step explanation:
distance between (-2,-2) and (4,-2)
distance formula,
√(x2-x1)²+(y2-y1)²
x2=4
x1=-2
y1=-2
y2=-2
putting the values,
√(4+2)²+(-2+2)²
√6²+0²
6 units
Solving systems by substitution
-2x+y=-1
4x-2y=2
Give step by step expiation
Answer:
All solutions
Step-by-step explanation:
Move the y from one side onto the other
-2x+ y= -1
+2x +2x
y= 2x -1
4x- 2(2x- 1)= 2
4x- 4x+ 2= 2
0= 0
All solutions
ANSWER FAST PLEASSEEEEE
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.
Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D
Finding the mode of each data-set, the bimodal city's data is given by:
C. City C.
What is the mode of a data-set?It is the value that appears the most times in the data-set. If two values appear the same number of sets, the data-set is called bimodal.
Hence, looking at the table:
For City A, 10 appears three times, hence it is the only mode.For City B, 25 appears five times, hence it is the only mode.For City C, 42 and 66 each appear three times, hence they are the modes, and the data-set is bimodal.For City D, 78 appears three times, hence it is the only mode.Hence option C is correct.
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the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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