Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
66°
5 mi
B
BC = [?] mi

Answer:

0.6%

Step-by-step explanation:

We have a standard deck of 52 playing cards, which is made up of 13 cards of each type (hearts, diamonds, spades, clubs)

Therefore there are one nine hearts, one nine diamonds, one nine spades and one nine clubs, that is to say that in total there are 4. Therefore the probability of drawing a nine is:

4/52

In the second card it is the same, an eight, that is, there are 4 eight cards, but there is already one less card in the whole deck, since it is not replaced, therefore the probability is:

4/51

So the final probability would be:

(4/52) * (4/51) = 0.006

Which means that the probability of the event is 0.6%

Answer:

n<5

Step-by-step explanation:

7>2n-3

+3      +3

10>2n

Divide by 2

5>n

Step-by-step explanation:

40 x $10.12/hr = $404.80

5 x $15.18/hr = $ 75.90

over time = $10.12 + $5.06 ( half of $10.12) = $15.18/hr

$404.80 + $75.90 = $480.70/weekly pay

assuming she works 52 weeks a year

$480.70 × 52 weeks = $24,996.40/yr

Answer:

Step-by-step explanation:

given a field of the form F = (P(x,y),Q(x,y) and a simple closed curve positively oriented, then

[tex]\int_{C} F \cdot dr = \int_A \frac{dQ}{dx} - \frac{dP}{dy} dA[/tex] where A is the area of the region enclosed by C.

In this case, by the description we can assume that C starts at (0,0). Then it goes the point (pi,0) on the path giben by y = sin(x) and then return to (0,0) along the straigth line that connects both points. Note that in this way, the interior the region enclosed by C is always on the right side of the point. This means that the curve is negatively oriented. Consider the path C' given by going from (0,0) to (pi,0) in a straight line and the going from (pi,0) to (0,0) over the curve y = sin(x). This path is positively oriented and we have that

[tex] \int_{C} F\cdot dr = - \int_{C'} F\cdot dr[/tex]

We use the green theorem applied to the path C'. Taking [tex] P = x+4y^3, Q = 4x^2+y[/tex] we get

[tex] \int_{C'} F\cdot dr = \int_{A} 8x-12y^2dA[/tex]

A is the region enclosed by the curves y =sin(x) and the x axis between the points (0,0) and (pi,0). So, we can describe this region as follows

[tex]0\leq x \leq \pi, 0\leq y \leq \sin(x)[/tex]

This gives use the integral

[tex] \int_{A} 8x-12y^2dA = \int_{0}^{\pi}\int_{0}^{\sin(x)} 8x-12y^2 dydx[/tex]

Integrating accordingly, we get that [tex]\int_{C'} F\cdot dr = 8\pi - \frac{16}{3}[/tex]

So

[tex] \int_{C} F cdot dr = - (8\pi - \frac{16}{3}) = \frac{16}{3} - 8\pi [/tex]

Answer:  $2 or $9

Step-by-step explanation:

Revenue (R) = $1800 , x = 1100 - 100p

R = xp

1800 = (1100 - 100p)p             substituted x with 1100 - 100p

1800 = 1100p - 100p²             distributed p into 1100 - 100p

100p² - 1100p + 1800 = 0       added 100p² & subtracted 1100p on both sides

     p² - 11p + 18 = 0                divided both sides by 100

(p - 2) (p - 9) = 0                     factored quadratic equation

p = 2  p = 9                         applied Zero Product Property to solve for p

Answer:  C) CD has dimensions 7 x 7

Step-by-step explanation:

When multiplying matrices the number of rows of the first matrix MUST equal the number of columns of the second matrix. I call these the "inside" numbers. The resulting dimension will be the "outside" numbers.

                 [7 x 2] × [2 x 7]

                        ↓     ↓

                        inside             These must match!

                [7 x 2] × [2 x 7]

                 ↓                  ↓

                       outside             These are the dimensions!

                7          ×        7        are the dimensions of CD

Answer:

the vertex of the parabola is at the point; (5, -1)

which agrees with answer "B" in the list of options

Step-by-step explanation:

Notice that this is the equation of a parabola with branches that open horizontally (not vertically), since the variable the goes squared is the y-variable instead of "x".

By analyzing it we can then write it by isolating the term in "x" on one side of the equation, and use at the same time the fact that it is being written in "vertex" form:

[tex]-8\,(x-5)=(y+1)^2\\(x-5)=-\frac{1}{8} (y+1)^2[/tex]

Therefore, the "y-value" of the vertex must be that which renders zero in the expression squared, that is y = -1. On the other hand, the x-value of the vertex is that which renders zero for the variable "x":  x=5.

Then, the vertex of the parabola is at the point; (5, -1)

Answer:

The scale factor is 2/3

Step-by-step explanation:

The image of (6,9) under a dilation is (4,6).

As you might see, there is a ratio between the image after dilating and before dilating, which is 4/6 = 6/9 = 2/3.

=> The scale factor is 2/3.

Accounting theories give an idea of ​​how to do it, how to follow it and the corresponding methodology, therefore the owner of a company must recognize these accounting theories to comply within the company.

We have the following accounting theories:

Comparable: It must be presented in a way, which may be compared thoroughly. Such as sales increased by way of 10% from the closing yr.

Relevant: Accounting information ought to be relevant; such as contemporary yr’s records with relevant facts have to be presented in economic report.

Consistent: Methods applied in accounting ought to be consistent; assume immediately line technique of charging depreciation is accompanied since last 5 years. If such technique is converting heavily, like instantly-line for this year and double declining technique inside the coming yr, then the system isn't regular and it doesn’t indicate smooth accounting.

Reliable: There should be reliability; such as coins bills are supported by way of respective vouchers of coins disbursements.

Answer:

(4, 3)

Step-by-step explanation:

Use the midpoint formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2} )[/tex]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

[tex]p_1=X_1/n_1=494/1000=0.494[/tex]

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

[tex]p_2=X_2/n_2=552/1000=0.552[/tex]

The difference between proportions is (p1-p2)=-0.058.

[tex]p_d=p_1-p_2=0.494-0.552=-0.058[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022[/tex]

Then, the margin of error is:

[tex]MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014[/tex]

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

Answer:

91% of the time the auto will get less than 26 mpg

Step-by-step explanation:

Think of (or draw) the standard normal curve.  Mark the mean (22.0).  Then one standard deviation above the mean would be 22.0 + 3.0, or 25.0.  Two would be 22.0 + 2(3.0), or 28.0.  Finallyl, draw a vertical line at 26.0.

Our task is to determine the area under the curve to the left of 26.0.

Using a basic calculator with built-in statistical functions, we find this area as follows:

normcdf(-100, 26.0, 22.0, 3.0) = 0.9088, which is the desired probability:  91% of the time the auto will get less than 26 mpg.

Answer:

The answer is C.

Step-by-step explanation:

Recall SohCahToa, where

[tex]\displaystyle \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex].

In the triangle, the opposite (to angle θ) is [tex]6[/tex], while the adjacent is [tex]2\sqrt{5}[/tex].

By substitution:

[tex]\displaystyle \tan(\theta)=\frac{6}{2\sqrt5}[/tex]

Simplify:

[tex]\displaystyle \frac{6}{2\sqrt{5} } \cdot\frac{\sqrt{5} }{\sqrt{5}} =\frac{6\sqrt{5}}{2(5)} =\frac{6\sqrt{5}}{10}=\frac{3\sqrt{5} }{5}[/tex]

The answer is C.

Answer:

See below in bold.

Step-by-step explanation:

We can write the equation as

y = a(x - 28)(x + 28)   as -28 and 28  ( +/- 1/2 * 56) are the zeros of the equation

y has coordinates (0, 32) at the top of the parabola so

32 = a(0 - 28)(0 + 28)

32 = a * (-28*28)

32 = -784 a

a = 32 / -784

a = -0.04082

So the equation is y = -0.04082(x - 28)(x + 28)

y = -0.04082x^2 + 32

The second part  is found by first finding the value of x corresponding to  y = 22

22 = -0.04082x^2 + 32

-0.04082x^2 = -10

x^2 = 245

x = 15.7 inches.

This is the distance from the centre of the door:

The distance from the edge = 28 - 15.7

= 12,3 inches.

Answer:

y = [tex]-9 \frac{1}{2}[/tex]

Step-by-step explanation:

9x-4y = 20

Given that x = -2

Putting in the above equation

9(-2) -4y = 20

-18 - 4y = 20

-4y = 20+18

-4y = 38

Dividing both sides by -4

y = [tex]-\frac{38}{4}[/tex]

y = [tex]-\frac{19}{2}[/tex]

y = [tex]-9 \frac{1}{2}[/tex]

Answer:

19/-2

Step-by-step explanation:

the answer is referred in the picture with the working out. hope it was helpful

Answer:

Step-by-step explanation:

by synthetic division

3) 1   -1   -11    15

|       3     6   -15   (add)

____________

   1     2    -5 |0

x²+2x-5=0

[tex]x=\frac{-2 \pm\sqrt{2^{2} -4*1*-5} }{2*1} \\or~x=\frac{-2 \pm\sqrt{4+20} }{2} \\or~x=\frac{-2 \pm2\sqrt{6} }{2} \\or ~x=-1 \pm \sqrt{6}[/tex]

Answer:

21/55

Step-by-step explanation:

Simply multiply the top 2 together:

3 x 7 = 21

And the bottom 2 together:

5 x 11 = 55

21/55 is your answer!

Answer:

No

Step-by-step explanation:

It is not divisible by 6, for if you divide by 6, you will get a non natural number,

It is obviously divisible by 2.

So, No.

Answer:

no

Step-by-step explanation:

only by 2

614/2 = 307

614/6 = 102.33

The x-coordinate of the point shown in the graph is - 5.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A point A(- 5, - 7).

From the above concept, we can easily conclude that the x-coordinate of the point shown in the graph is - 5.

The image of the graph is attached.

learn more about graphs here :

https://brainly.com/question/17267403

#SPJ2

Answer:

[tex] 211600 = 225000 -k*6700[/tex]

[tex] k = \frac{225000-211600}{6700}= 2[/tex]

[tex] 238400 = 225000 +k*6700[/tex]

[tex] k = \frac{238400-225000}{6700}= 2[/tex]

So then the % expected would be:

[tex] 1- \frac{1}{2^2}= 1- 0.25 =0.75[/tex]

So then the answer would be 75%

Step-by-step explanation:

For this case we have the following info given:

[tex] \mu = 225000[/tex] represent the true mean

[tex]\sigma =6700[/tex] represent the true deviation

And for this case we want to find the minimum percentage of sold homes between $211,600 and $238,400.

From the chebysev theorem we know that we have [tex]1 -\frac{1}{k^2}[/tex] % of values within [tex]\mu \pm k\sigma[/tex] if we use this formula and the limit given we have:

[tex] 211600 = 225000 -k*6700[/tex]

[tex] k = \frac{225000-211600}{6700}= 2[/tex]

[tex] 238400 = 225000 +k*6700[/tex]

[tex] k = \frac{238400-225000}{6700}= 2[/tex]

So then the % expected would be:

[tex] 1- \frac{1}{2^2}= 1- 0.25 =0.75[/tex]

So then the answer would be 75%

Answer:

The expression for the height of the plant is: f(x) = 8*(1.16)^x;

The value of f(x+1)/f(x) is 1.16.

Step-by-step explanation:

Since Diego's beanstalk grows at an exponential rate of 16% per day, then the expression that represents the height of the plant, "f", in function of days, "x", can be found as shown below:

Initially the height of the plant was:

[tex]f(0) = 8[/tex]

After the first day however it was:

f(1) = 8*(1 + \frac{16}{100}) = 8*(1.16)

While after the second day:

f(2) = f(1)*(1.16) = 8*(1.16)*(1.16) = 8*(1.16)²

And so on, therefore the expression is:

f(x) = 8*(1.16)^x

The value of f(x + 1)/f(x) is:

[8*(1.16)^(x + 1)]/[8*(1.16)^x]

[8*(1.16)*(1.16)^(x)]/[8*(1.16)^x] = 1.16

Answer:

Step-by-step explanation:

This is a poisson distribution. Let x be a random representing the number of calls in a given time interval.

a) the expected number of calls in one hour is the same as the mean score in 60 minutes. Thus,

Mean score = 60/2 = 30 calls

b) The interval of interest is 5 minutes.

µ = 5/2 = 2.5

We want to determine P(x = 3)

Using the Poisson probability calculator,

P(x = 3) = 0.21

c) µ = 5/2 = 2.5

We want to determine P(x = 0)

Using the Poisson probability calculator,

P(x = 0) = 0.08

Answer:

AC = 11 cm , CB = 22 cm

Step-by-step explanation:

let AC = x then BC = 2x , then

AC + BC = 33, that is

x + 2x = 33

3x = 33 ( divide both sides by 3 )

x = 11

Thus

AC = x = 11 cm and CB = 2x = 2 × 11 = 22 cm

Answer:

Height of tank = 50cm

Step-by-step explanation:

Volume of water from tank that the water is 10cm down is 84000cm³

Length = 60cm

Width = 35cm

Height of water = x

Volume = length* width* height

Volume= 84000cm³

84000 = 60*35*x

84000= 2100x

84000/2100= x

40 = x

Height of water= 40cm

Height of tank I = height of water+ 10cm

Height of tank= 40+10= 50cm

Height of tank = 50cm

Answer:

given;

previous year price of gas= $4.35

price of gas has been increased by 30%

now,price of gas in present year=?

we have;

price of gas in present year=priceof

previous year+30%of price of previous year.

so ,price of gas in present year=4.35+30%of4.35

=$4.35+30/100×4.35

=$4.35+1.305

= $5.655. ans....

therefore, the price of gas in present year is ;$5.655.

Answer:

Poison ivy rash is caused by contact with poison ivy, a plant that grows almost everywhere in the United States. The sap of the poison ivy plant, also known as Toxicodendron radicans, contains an oil called urushiol. This is the irritant that causes an allergic reaction and rash.

You don’t even have to come in direct contact with the plant to have a reaction. The oil can linger on your gardening equipment, golf clubs, or even your shoes. Brushing against the plant — or anything that’s touched it — can result in skin irritation, pain, and itching.

Jared might have told him about his activities similar to the ones like gardening etc. by which Jared's physician use to make a diagnosis.

He told doctor that he just returned from camp this clearly indicates that he might get in touch with plants .

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

Answer:

a=b

Step-by-step explanation:

When the denominator is zero, the expression is undefined

a-b=0

a=b

Answer:

1. it has different colors

Answer: X= 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

18=3(3x−6)

18=(3)(3x)+(3)(−6)(Distribute)

18=9x+−18

18=9x−18

Step 2: Flip the equation.

9x−18=18

Step 3: Add 18 to both sides.

9x−18+18=18+18

9x=36

Step 4: Divide both sides by 9.

9x

9

=

36

9

Answer:

X=4

Step-by-step explanation:

18=3(3X-6)

18=3><(3X-6)

18=9X-18

9X=-18-18

9X=36

X=36/9

X=4

Hope this helps

Brainliest please