The vector x is in the subspace H with a basis B=b1,b2. Find the B-coordinate vector of x. b1=(1,4,−2),b2=(−2,−7,3),x=(−1,−3,1) [x]B=?

Answer:

CP of each lemon = 1/4

SP of each lemon = 1/3

profit =

\( \frac{1}{3} - \frac{1}{4} \)

profit = 1/12

profit percentage =(1/12)/(1/4)*100

percentage = 33.3%

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Answer:

D) 3/5 and 9/15

Step-by-step explanation:

3 times 3 equals 9

5 times 3 equals 15

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

send the complete question . there are some missing signs .

Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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Answer:

100

Step-by-step explanation:

0.3n - 15 = 0.2n - 5

0.3n - 0.2n = - 5 + 15

0.1n = 10

10/0.1 = n

n = 100

(i) Let W be the event that the wind is blowing and H be the event that she hits the target. Using the multiplication rule: Probability of wind and hitting target

= P(W) x P(H|W) = 0.3 x 0.4 = 0.12

(ii) Probability of hitting the target on the first shot:

P(H) = P(not windy) x P(H|not windy) + P(windy) x P(H|windy)

= (1 - 0.3) x 0.7 + 0.3 x 0.4= 0.58

(iii) There are two cases to consider: She hits the target on the first shot and misses on the second, or she misses on the first shot and hits the target on the second.

P(hits target exactly once in two shots)

= P(H1, not H2) + P(not H1, H2)

= [P(not windy) x P(H1, not H2|not windy) + P(windy) x P(H1, not H2|windy)] +[P(not windy) x P(not H1, H2|not windy) + P(windy) x P(not H1, H2|windy)]

= [(1 - 0.3) x 0.7 x 0.6 + 0.3 x 0.4 x 0.6] + [(1 - 0.3) x 0.3 x 0.4 + 0.3 x 0.6 x 0.4]

= 0.282

(iv) Probability of no wind given that she missed:

=P(not W|not H)

= P(not H|not W) x P(not W) / P(not H)

= [P(not windy) x P(not H|not windy) + P(windy) x P(not H|windy)] x [1 - P(H)]

= [(1 - 0.3) x 0.3 + 0.3 x 0.6] x [1 - 0.58]= 0.112

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Correlation analysis is mostly used to determine whether a cause-effect relationship exists between two variables.

We have,

A statement to check which analysis is used by researcher,

So,

We know that,

The experimental method is the only method to attribute a cause and effect relationship as the researcher will hold one variable constant and 'experiment' with the other variable to see the effect.

Hence this is not upto the mark of given statement.

Now,

Regression analysis is used to determine the effect of one variable on the other.

Now,

We also know that,

Correlation analysis is mainly conducted by a researcher to determine whether a relationship exists between variables or not.

So,

The above mentioned statement satisfy the given statement.

Hence, we can say that the Correlation analysis is mostly used to determine whether a cause-effect relationship exists between two variables.

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Answer:

x = -9

Step-by-step explanation:

-2x + 6 + 4x = -12

-2x + 4x = -12 - 6

2x = -18 -----Divide -18 by 2

x = -9

Answer:

x = 20

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

x/35 = 24/42

x = (35 * 24)/42

x = 20

The probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18%

To find the probability that a randomly selected person will have an IQ score of less than 80, we need to consider the properties of the normal distribution, as IQ scores typically follow a normal distribution with a mean (μ) of 100 and a standard deviation (σ) of 15.

1. Calculate the z-score: The z-score represents the number of standard deviations a data point is from the mean. Use the formula:

z = (X - μ) / σ

where X is the IQ score, μ is the mean, and σ is the standard deviation.

z = (80 - 100) / 15
z = -20 / 15
z = -1.3333

2. Look up the z-score in a standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability is 0.0918.

Therefore, the probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18% when rounded to four decimal places.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

The bake sale raised $159.75

Step-by-step explanation:

A stacked histogram is a column chart that displays the number of resources required for or assigned to a project over time.

A stacked histogram is a type of column chart that represents the distribution of resources over time. It is commonly used in project management to visualize the allocation or requirement of resources for a project. The histogram consists of vertical bars, where each bar represents a specific time period, and the height of the bar corresponds to the number of resources.

In a stacked histogram, different categories or types of resources are represented by different colors or patterns within each bar. Each segment of the bar represents the quantity or proportion of a particular resource within that time period. By stacking the segments, the chart provides a visual representation of the cumulative number of resources required or assigned over time.

This type of histogram allows project managers and stakeholders to analyze resource utilization, identify periods of high demand or availability, and make informed decisions about resource allocation and scheduling. It provides a clear overview of resource distribution patterns and helps in optimizing resource management for efficient project execution.

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Answer: −18.5s+28.1

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Answer:

I'm not so sure but i guess it's option D y=5x-3

the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now

Answer:

Perimeter = 48 inches

Area = 144 inches²

Step-by-step explanation:

Perimeter = 4 * side

Perimeter = 4*12 in

Perimeter = 48 inches

Area = side²

Area = (12in)²

Area = 144 in²

The optimal clutch size is 1.

a)The survivorship of an offspring, S, decreases with the clutch size, C.

Therefore, the formula is given as:

S = 0.5 - 0.1C

We need to find the optimal clutch size for this bird species.

We can do this by differentiating S with respect to C, and equating the result to zero.

That is:S = 0.5 - 0.1C => dS/dC = -0.1

Equating dS/dC to zero gives:-0.1 = 0 => C = 0

This implies that there is no optimal clutch size for this species.

However, since C represents clutch size, it must be a positive integer.

Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is

1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.

We can differentiate S with respect to C, and equate the result to zero.

That is:S = a - bC => dS/dC = -b

Equating dS/dC to zero gives:-b = 0 => C = 0

This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.

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Answer:

it is 9 hours and 50 minutes

(a) The total amount Bill ended up paying for the equipment, including the down payment and monthly payments, can be calculated by adding the down payment to the total amount paid through monthly payments over the years.

(b) To determine the amount of interest Bill paid on the loan, we need to subtract the initial loan amount (rest of the equipment cost after the down payment) from the total amount paid.

(a) The total amount Bill ended up paying for the equipment can be obtained by adding the down payment to the total amount paid through monthly payments. The down payment represents the initial contribution made towards the purchase, while the monthly payments gradually cover the remaining cost of the equipment over the years. By summing up these two amounts, we obtain the total amount paid by Bill for the lab equipment.

(b) To calculate the amount of interest Bill paid on the loan, we need to subtract the initial loan amount from the total amount paid. The initial loan amount corresponds to the cost of the equipment minus the down payment. This represents the principal amount that Bill borrowed to finance the purchase. By subtracting the principal amount from the total amount paid, we can determine the interest paid on the loan.

It's important to note that the specific values for the down payment, loan amount, and monthly payments are not provided in the question. To obtain the exact total amount paid and the interest paid, these values would need to be known or provided.

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Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer: A

Step-by-step explanation:

The general solutions of the following differential-equations using D-operator methods are:

3.1)y = (\(e^{x}\\\)/2)[A sin 2x + B cos 2x] + (\(e^{3x}\)/2)C + (1/5)sin 2x + (1/10)cos 2x

3.2)y = \(e^{-x}\)[A cos √3 x + B sin √3 x] + (\(e^{x}\) / 10) (C sin 2x + D cos 2x)

3.1 For (D' - 5D + 6)y = e + sin 2x

Using the factorization method, we get

(D-2)(D-3)y = e + sin 2x.

Now, using the D-operator method and the concept of integrating-factors, we get

(I.D - 2)(I.D - 3)y = \(e^{x}\) + sin 2x

where I is the integrating factor.

Then, we integrate both sides with respect to x to get:
y = (\(e^{x}\\\)/2)[A sin 2x + B cos 2x] + (\(e^{3x}\)/2)C + (1/5)sin 2x + (1/10)cos 2x,

where A, B, and C are arbitrary constants.

3.2 For (D² + 2D + 4)y = e²x sin 2x

Using the characteristic equation method, we get:

r² + 2r + 4 = 0

r = (-2 ± 2√3 i) / 2

  = -1 ± √3 i

Now, y = \(e^{-x}\)[A cos √3 x + B sin √3 x] + (\(e^{x}\) / 10) (C sin 2x + D cos 2x), where A, B, C, and D are arbitrary constants.

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Answer:

C

Step-by-step explanation:

Answer:

x = \(\frac{1}{4}\)

y = \(\frac{3}{4}\)

z = 0

Step-by-step explanation:

You first need to solve for a variable, it won't be as easy as x = 3, you are looking to replace a variable with another equation.

For example, the second equation, 4y-z=3, I can either solve for y or z. It won't be a numerical value but it will get you a step closer.

4y-z=3

4y=z+3

y = \(\frac{z}{4} +\frac{3}{4}\)

Then you are able to use substitution to negate one of the variables and solve for the other two variables. I won't type that but I think you get the idea.

For given equation of circle radius is 6 unit and center is at (-2,1).

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

Now,

As shown in graph the graph by taking two points on graph

(-2,7) and (-2,-5)

Center will be at (-2-2)/2, (7-5)/2

i.e. (-2,1)

And for radius take magnitude of points from y-coordinate

(7+5)/2=6 unit

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Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

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Answer:

x = -9

if this is right, brainliest is much appreciated!

Step-by-step explanation:

hope this helps!

Answer: x = -9

Step-by-step explanation:

top right angle: Congruent sides implies congruent angles = ∠2

Using the Triangle Sum Theorem, the sum of the angles = 180

70° + ∠2 + ∠2 = 180°

       2(∠2)      = 110°

           ∠2      = 55°

          x + 64 = 55

                x = -9