Please answer this correctly

Answer:

B:<

Step-by-step explanation:

You can solve this question with fractions. The way I did it was by changing both equations into fractions like this: 6÷7=6/1x1/7=6/7 and     7÷8=7/1x1/8=7/8. Since they don't have a common denomintor and you still dont know which fraction is bigger/smaller, we are going to find a common denominator which is 56. After converting both fractions, (6/7=48/56 and 7/8=49/56)  Now you can see that 7/8 is bigger than 6/7, which shows that 6÷7<7÷8.

Answer:

C.(3|-4)

Step-by-step explanation:

Given the vector:

[tex]\left[\begin{array}{ccc}4\\3\end{array}\right][/tex]

The transformation Matrix is:

[tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex]

The image of the vector after applying the transformation will be:

[tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4\\3\end{array}\right]\\\\=\left[\begin{array}{ccc}0*4+1*3\\-1*4+0*3\end{array}\right]\\\\=\left[\begin{array}{ccc}3\\-4\end{array}\right][/tex]

The correct option is C

The image after applying the transformation to the matrix is [tex]\begin{bmatrix}3\\ -4\end{bmatrix}[/tex].

Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

It is given that the vector is

[tex]\begin{bmatrix}4\\ 3\end{bmatrix}[/tex]

and the transformation matrix is

[tex]\begin{bmatrix}0 &1 \\ -1 &0 \end{bmatrix}[/tex]

The image after applying the transformation

[tex]\begin{bmatrix}4\\ 3\end{bmatrix}\begin{bmatrix}0 &1 \\ -1 &0 \end{bmatrix}[/tex]

[tex]\begin{bmatrix}0*4+0*3 \\-1*4+0*3 \end{bmatrix}[/tex]

[tex]\begin{bmatrix}3\\ -4\end{bmatrix}[/tex]

Therefore the image after applying the transformation to the matrix is [tex]\begin{bmatrix}3\\ -4\end{bmatrix}[/tex].

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Answer:The answer is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Cos A = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Where Adjacent = 28, Hypotenuse = 197

Cos A = [tex]\frac{28}{197}[/tex]

Answer:

The proportion of new car buyers who prefer foreign cars is 425/1519 = 0.280.

Step-by-step explanation:

The proportion of new car buyers who prefer foreign cars can be estimated from the sample proportion.

The sample results tells us that 425 out of 1519 preferred foreign cars over domestic cars.

Then, we can calculate the sample proportion as:

[tex]p=\dfrac{425}{1519}=0.280[/tex]

The proportion of new car buyers who prefer foreign cars is 425/1519 = 0.280.

Answer:

[tex]z=\frac{112-124}{\frac{22}{\sqrt{37}}}=-3.318[/tex]  

The p value would be given by this probability:

[tex]p_v =2*P(z<-3.318)=0.0009[/tex]  

Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft

Step-by-step explanation:

Data given and notation  

[tex]\bar X=112[/tex] represent the sample mean

[tex]\sigma =22[/tex] represent the population standard deviation  

[tex]n=37[/tex] sample size  

[tex]\mu_o =124[/tex] represent the value that we want to test  

z would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to check the following system of hypothesis:

Null hypothesis: [tex]\mu = 124[/tex]  

Alternative hypothesis :[tex]\mu \neq 124[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{112-124}{\frac{22}{\sqrt{37}}}=-3.318[/tex]  

The p value would be given by this probability:

[tex]p_v =2*P(z<-3.318)=0.0009[/tex]  

Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft

Answer:

A = 45 units^2

Step-by-step explanation:

This is a trapezoid

A = 1/2 (b1+b2) h

b1 is the top = 7

b2 is the bottom = 11

h = 5

A = 1/2 ( 7+11) *5

A = 1/2 ( 18)*5

A = 45 units^2

Answer:

40k + 35 cents

Step-by-step explanation:

Each quarter is worth 25 cents, each nickels is worth 5 cents and each dime is worth 10 cents.

Value of all quarters:

[tex]25k[/tex]

Value of all nickels:

[tex]5*(k+5)\\5k+25[/tex]

Value of all dimes:

[tex]10*(2k+1)\\20k + 10[/tex]

The value of all coins in terms of k is:

[tex]V=25k+5k+25+20k+10\\V= 40k +35\ cents[/tex]

All coins are worth 40k + 35 cents.

Answer:

sorry about that that was my sister . the correct answer is yes

Step-by-step explanation:

please mark as brainliest

Answer:

(a)[tex]V=\dfrac{NI+FC}{SP-VC}[/tex]

(b)V=240 Units

Step-by-step explanation:

NI=(SP-VC)V-FC

We are required to make V the subject of the equation

Add FC to both sides

NI+FC=(SP-VC)V-FC+FC

NI+FC=(SP-VC)V

Divide both sides by SP-VC

[tex]V=\dfrac{NI+FC}{SP-VC}[/tex]

When

Volume of Sales

[tex]V=\dfrac{5000+1000}{40-15}\\=\dfrac{6000}{25}\\\\=240[/tex]

Answer:

9+1224+12=1245

Hope this helps

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21

Answer:

[tex]g(2) = 4(2) + 6 = 14[/tex]

[tex]f(2) = 2(2) + 3 = 7[/tex]

[tex](g - f)(2) = 14 - 7 = 7[/tex]

problem decoded dude

thank and follow meh

Answer:

Total revenue = 13.5 + 9 = $22.5

Step-by-step explanation:

The toll charges $1.00 for passenger cars and $2.25 for other vehicles. During daytime hours  60% of all the vehicles are passenger vehicles.

A particular daytime period 15 vehicle crossed the bridge. Recall that during daytime period, 60% of all the vehicles are passenger vehicles . Therefore,

Passenger vehicles = 60% of 15

Passenger vehicles = 60/100 × 15

Passenger vehicles = 900/100

Passenger vehicles = 9

9 of the vehicles are passenger vehicle and the charges for passenger cars is $1.00. other vehicle is $2.25.

revenue for passenger cars = 1 × 9 = $9

revenue for other vehicles = 2.25 × 6 = $13.5

Total revenue = 13.5 + 9 = $22.5

Answer:

Knowing that those vectors start at the point (0,0) we can "think" them as lines.

As you may know, two lines are parallel if the slope is the same, then we can find the "slope" of the vectors and see if it is the same.

A) the vectors are: (√3, 1) and (-√3, -1)

You may remember that the way to find the slope of a line that passes through the points (x1, y1) and (x2, y2) is s = (y2 - y1)/(x2 - x1)

Because we know that our vectors also pass through the point (0,0)

then the slopes are:

 (√3, 1) -----> s = (1/√3)

 (-√3, -1)----> s = (-1/-√3) =  (1/√3)

The slope is the same, so the vectors are parallel.

Part B:

The vectors are: (2, 3) and (-3, -2)

the slopes are:

(2, 3) -----> s = 3/2

(-3, -2)----> s = -2/-3 = 2/3

the slopes are different, so the vectors are not parallel.

∥v∥=√((6)^2+(-8)^2)=√(36+64)=√100=10. Dividing v by its magnitude, we get the unit vector u=(v/∥v∥)=(6i−8j)/10=(3/5)i−(4/5)j. Therefore, two unit vectors parallel to v are (3/5)i−(4/5)j and −(3/5)i+(4/5)j.

a. Two unit vectors parallel to v=6i−8j can be found by dividing the vector v by its magnitude. The magnitude of v can be calculated using the formula ∥v∥=√(v1^2+v2^2), where v1 and v2 are the components of v in the x and y directions, respectively. In this case, v1=6 and v2=−8. Thus,

b. To find the value of b when v=⟨1/3,b⟩ is a unit vector, we need to calculate the magnitude of v and set it equal to 1. The magnitude of v is given by ∥v∥=√((1/3)^2+b^2). Setting this equal to 1, we have √((1/3)^2+b^2)=1. Squaring both sides of the equation, we get (1/3)^2+b^2=1. Simplifying, we have 1/9+b^2=1. Rearranging the equation, we find b^2=8/9. Taking the square root of both sides, we get b=±(2√2)/3. Therefore, the value of b when v is a unit vector is b=(2√2)/3 or b=−(2√2)/3.

c. To find all values of a such that w=ai−a/3j is a unit vector, we need to calculate the magnitude of w and set it equal to 1. The magnitude of w is given by ∥w∥=√(a^2+(-a/3)^2). Setting this equal to 1, we have √(a^2+(-a/3)^2)=1. Simplifying, we get a^2+(a^2/9)=1. Combining like terms, we have (10/9)a^2=1. Dividing both sides by 10/9, we get a^2=(9/10). Taking the square root of both sides, we have a=±√(9/10). Therefore, the values of a such that w is a unit vector are a=√(9/10) or a=−√(9/10).

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Answer:

First, you would cancel out the lb in 2.2 lb, and cancel the kg in 1 kg. Then, you cross multiply. 46 x 1 x 1000 is 46000, you're just moving the decimal point. 1 x 2.2 x 1 would stay the same, so you would have 46000 over 2.2.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

The classical probability assessment works based on the principle that the probability of an event occurring is equal to the number of times the event occurs divided by total number of outcomes.

That is:

P(A) = n(A) / N

Therefore, the probability that the next customer will buy a computer will be:

P(c) = 25 / 100 = 1/4

Answer: There are systems with no solutions, and the graphs may show two regions with no intersections (as you know, the solution set is in the intersection of the sets of solutions for each inequality)

Step-by-step explanation:

Ok, suppose that our system is:

y > x

and

y < x.

This system obviously does not have any solution, because y can not be larger and smaller than x at the same time.

The graph of y > x is where we shade all the region above the line y = x (the line is not included)

and the graph of y < x is where we sade all the region under the line y = x (the line is not included)

So we will look at a graph where we never have a region with the two shades overlapping (so we do not have a intersection in the sets of solutions), meaning that we have no solutions.

Answer:

11x + y = -28

Step-by-step explanation:

Step 1: Find slope

(6-5)/(-2--3) = -11

Step 2: Find y-intercept

y = -11x + b

5 = -11(-3) + b

5 = 33 + b

b = -28

Step 3: Write in slope-intercept form

y = -11x - 28

Step 4: Convert to standard form

11x + y = 28

And we have our final answer!

Answer:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Answer:  window = 0.50 m

Step-by-step explanation:

First, draw a picture (see image below).

Then set up two equations that eventually you can set equal to each other.

Given: Ladder (hypotenuse) = 2.5

           Angle to Top edge of window = 55°

          Angle to Lower edge of window = 38°

[tex]\sin \text{Top}=\dfrac{opposite}{hypotenuse}\qquad \qquad \sin \text{Lower}=\dfrac{opposite}{hypotenuse}\\\\\\\sin 55^o=\dfrac{h+y}{2.5}\qquad \qquad \qquad \sin 38^o=\dfrac{y}{2.5}\\\\\\\underline{\text{Solve both equations for y:}}\\2.5\sin 55^o-h=y\qquad \qquad 2.5\sin 38^o=y\\\\\\\underline{\text{Set the equations equal to each other and solve for h:}}\\\\2.5\sin 55^o-h=2.5\sin 38^o\\2.5\sin 55^0-2.5\sin 38^o=h\\\large\boxed{0.50=h}[/tex]

Answer:

The probability that it will take fewer than six customer contacts to clear the inventory is 0.8%.

Step-by-step explanation:

We have a probability of making an individual sale of p=0.15.

We have 4 units, so the probability of clearing the inventory with n clients can be calculated as:

[tex]P=\dbinom{n}{4}p^4q^{n-4}=\dbinom{n}{4}0.15^4\cdot 0.85^{n-4}[/tex]

As we see in the equation, n has to be equal or big than 4.

In this problem we have to calculate the probability that less than 6 clients are needed to sell the 4 units.

This probability can be calculated adding the probability from n=4 to n=6:

[tex]P=\sum_{n=4}^6P(n)=\sum_{n=4}^6 \dbinom{n}{4}0.15^4^\cdot 0.85^{n-4}\\\\\\P=0.15^4(\dfrac{4!}{4!0!}\cdot 0.85^{4-4}+\dfrac{5!}{4!1!}\cdot0.85^{5-4}+\dfrac{6!}{4!2!}0.85^{6-4})\\\\\\P=0.15^4(1\cdot0.85^0+5\cdot0.85^1+15\cdot0.85^2)\\\\\\P=0.00051(1+4.25+10.84)\\\\\\P=0.00051\cdot16.09\\\\\\P=0.008[/tex]

Answer:

7am

Step-by-step explanation:

The data cited is in the attachment.

Answer: 308.2±106.4

Step-by-step explanation: To construct a confidence interval, first calculate mean (μ) and standard deviation (s) for the sample:

μ = Σvalue/n

μ = 308.2

s = √∑(x - μ)²/n-1

s = 147.9

Calculate standard error of the mean:

[tex]s_{x} = \frac{s}{\sqrt{n} }[/tex]

[tex]s_{x}[/tex] = [tex]\frac{147.9}{\sqrt{12} }[/tex]

[tex]s_{x}[/tex] = 42.72

Find the degrees of freedom:

d.f. = n - 1

d.f. = 12 - 1

d.f. = 11

Find the significance level:

[tex]\frac{1-0.97}{2}[/tex] = 0.015

Since sample is smaller than 30, use t-test table and find t-score:

[tex]t_{11,0.015}[/tex] = 2.4907

E = t-score.[tex]s_{x}[/tex]

E = 2.4907.42.72

E = 106.4

The interval of confidence is: 308.2±106.4, which means that dental insurance plan varies from $201.8 to $414.6.

Answer: it’s undefined or 0

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Slope= (y^2-y^1)/(x^2-x^1)

(x^1,y^1) and (x^2,y^2)

(9,4) and (9,-5)

SLOPE:

(-5-4)/(9-9)

-9/0

Undefined

kinda hard to show on brainy but there you go hope this helps

[tex](x+3)(x+5)[/tex]

[tex]x(x+5)+3(x+5)[/tex]

[tex]x^2+5x+3x+15[/tex]

[tex]\displaystyle x^2+8x+15[/tex]

Answer:

The standard form of a circle is (x - c)² + (y - d)² = r² where (c, d) is the center and r is the radius. This means that the center is (0, -7) and the radius is 8.

Answer:  Center = (0, -7)

                Radius = 8

Step-by-step explanation:

The equation of a circle is: (x - h)² + (y - k)² = r²     where

       x²   + (y + 7)² = 64

→   (x - 0)² + (y - (-7))² = 8²

           ↓              ↓       ↓

          h=0        k=-7     r=8

Answer:

a) 8.3 units of length

b) 31.6 units of length

Step-by-step explanation:

a) The distances traveled by each ball are given by:

[tex]d_1^2=100^2+10^2=10,100\\d_1=100.5\\\\d_2^2=90^2+(-20^2)=8,500\\d_2=92.2[/tex]

The diference between the distance traveled by both balls is:

[tex]d_1-d-2=100.5-92.2\\d_1-d_2=8.3[/tex]

The first ball traveled 8.3 units of length farther than the second ball.

b) The distance between both balls is:

[tex]d^2=(i_1-i_2)^2+(j_1-j_2)^2\\d^2=(100-90)^2+(10-(-20))^2\\d^2=1,000\\d=31.6[/tex]

The balls are 31.6 units of length apart.

Answer:

The sound in a loud part of the room is 10000 times louder than sound in a quiet part of the same place.

Step-by-step explanation:

The acoustic intensity sound is a logarithmic function whose form is:

[tex]L = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

Where:

[tex]L[/tex] - Acoustic intensity sound, measured in decibels.

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

Sound intensity is now cleared:

[tex]10^{\frac{L}{10} } = \frac{I}{I_{o}}[/tex]

The ratio of the sound intensity in a loud part to the sound intensity in a quiet part is:

[tex]\frac{I_{100}}{I_{60}} = \frac{10^{\frac{100\,dB}{10} }}{10^{\frac{60\,dB}{10}}}[/tex]

[tex]\frac{I_{100}}{I_{60}} = \left(10^{100\,dB-60\,dB}\right)^{\frac{1}{10} }[/tex]

[tex]\frac{I_{100}}{I_{60}} = (10^{40\,dB})^{\frac{1}{10} }[/tex]

[tex]\frac{I_{100}}{I_{60}} =10^{4}[/tex]

The sound in a loud part of the room is 10000 times louder than sound in a quiet part of the same place.

Answer:

No.

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible. You could have 100°+100°+100°+60° quadrilateral or whatever. As long as it's inner angles add up to 360°, it is possible.

Answer:

[tex]\boxed{\mathrm{It \: is \: not \: an \: empty \: set}}[/tex]

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

Answer:

Step-by-step explanation:

Given that: 3(m∠1+m∠3) = m∠2+m∠4.

From the diagram:

Therefore:

3(m∠1+m∠1) = m∠2+m∠2

3(2m∠1)=2m∠2

Divide both sides by 2

3m∠1=m∠2

m∠1+m∠2=180 (Linear Postulate)

Therefore:

m∠1+3m∠1=180

4m∠1=180

Divide both sides by 4

m∠1=45 degrees

Since m∠1=m∠3

m∠3=45 degrees

Recall: m∠1+m∠2=180 (Linear Postulate)

45+m∠2=180

m∠2=180-45

m∠2=135 degrees

Since m∠2=m∠4

m∠4=135 degrees

Answer:

9 bags

Step-by-step explanation:

130, 134, 136, 145, 145, 147, 147, 151, 154

9 bags had at least 130 peanuts.