The area of a rectangular field of length 12 m is 108 sq.m
Find the width of the field.

Answer:

positive 8 i think

Step-by-step explanation:

-8=8

Answer:

Both have the same y-intercept (-9)

Step-by-step explanation:

✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.

b = y-intercept = -9

y-intercept for Function 1 = -9

✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.

Thus, r = -9 when t = 0.

y-intercept for Function 2 = -9

✔️Both functions has the same y-intercept. None is greater than the other.

Answer:

[tex]y = -\frac{3}{2}x + 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

[tex]\frac{2m}{3} = -1[/tex]

[tex]2m = -3[/tex]

[tex]m = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + 2[/tex]

Answer:

arc = 25.29

Step-by-step explanation:

first find the circumference:

C = 2r(Pi) = 2(10)(3.14) = 62.8

since subtended, then we're looking for these opposite angle of 215 degrees:

360 - 215 = 145 degrees

62.8/360 = 0.1744 per degree

0.1744 x 145  = 25.29

Answer:

19.54

Step-by-step explanation:

Answer: 19.54

Step-by-step explanation: 140/360*(8*2*3.14)

Answer:

3

Step-by-step explanation:

6 / 2 = 3 hours

Answer:

0.9225 = 92.25% probability that two or more internship trained candidates are hired.

Step-by-step explanation:

Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Group of 13 individuals:

This means that [tex]N = 13[/tex]

6 candidates are selected:

This means that [tex]n = 6[/tex]

6 in trained internships:

This means that [tex]k = 6[/tex]

Find the probability that two or more internship trained candidates are hired.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041[/tex]

[tex]P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225[/tex]

0.9225 = 92.25% probability that two or more internship trained candidates are hired.

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the  ground.

We need to find the time when the paint hit the ground. Let the time be t.

Using the second equation of kinematics i.e.

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

u = 0 (initial velocity is 0 as it was at rest)

a = g

So,

[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]

So, it will hit the ground at 6.77 s.

Answer:

[tex]n_x = -4n_{x-1}\\[/tex]

where [tex]n_1[/tex] = 2

Step-by-step explanation:

512/-8 = -64

difference of n = 3

[tex]\sqrt[3]{64} = 4[/tex]

[tex]n_x = -4n_{x-1}\\[/tex]

where [tex]n_1[/tex] = 2

Answer:

464 grams.

Step-by-step explanation:

Amount of substance:

The amount of substance after t years is given by an equation in the following format:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Co-60 has a half life of 5.3 years.

This means that:

[tex]A(5.3) = 0.5A(0)[/tex]

We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]

[tex](1-r)^{5.3} = 0.5[/tex]

[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]

[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]

[tex]1 - r = 0.8774[/tex]

So

[tex]A(t) = A(0)(0.8774)^{t}[/tex]

If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?

We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So

[tex]A(t) = A(0)(0.8774)^{t}[/tex]

[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]

[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]

[tex]A(0) = 464[tex]

464 grams.

Answer:

[tex]Q' =(-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]Q = (3,-4)[/tex]

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

[tex]Q = (3,-4)[/tex]

Where:

[tex]x = 3[/tex] and [tex]y = -4[/tex]

Q' will be:

[tex]Q' =(-4,-3)[/tex]

She pulled out 91.2 dollars

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

Answer:

4*x

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

x in this case would be the number

Answer:

It would be C

Step-by-step explanation:

I have done this before!

Answer:

x = 0 , y = 1

Do let me know if you get it right :)

Answer:

Step-by-step explanation:

Add all the beads together to get your total amount of beads (This will be your denominator)

1+2+2+1=6 beads in total

You only want to focus on the amount of green beads. (Which is 2 and that will be you numerator)

[tex]\frac{Numerator}{Demonator}=\frac{green beads}{Total amount of beads}[/tex]

48 oz?

Step-by-step explanation:

I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong

Answer:

36oz for 2.59

Step-by-step explanation:

Try doubling each possible answer (largest isn't required):

36oz for 2.59 doubled is 72oz for 5.18.

12oz for 1.99 doubled is 24oz for 3.98.

The clear answer is 72oz for 5.18 instead of 48oz for 3.99.

Answer:

Given that an accounts receivable manager process 200 checks per day with an average processing time of 15 working days, to determine what is the average number of accounts receivable checks being processed in her office, the following calculation must be performed:

200 x 15 = X

3,000 = X

Thus, the average number of accounts receivable checks being processed in her office is 3,000.

In turn, if through information technology she reduces the process time from 15 days to 10 days to 5 days, the advantages and disadvantages of adopting this technology would be less work time and greater processing speed, although in contrast the times of effective work would be saturated.

24 divided by 12 equals 2,083

The division of 25 by 12  gives the quotient 2 and remainder is 1.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Given:

We have to divide 25 by 12.

The division is as follow:

                            12| 25 | 2

                                  24

                              ______

                                   1

Thus the Quotient is 2 and remainder is 1.

Learn more about Division here:

brainly.com/question/21416852

#SPJ5

Answer:

Quadratic (I took the test)

Step-by-step explanation:

y=t+2 equals y-2=t

put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.

add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)

This is an example of a quadratic equation.

We have given that the equation

y=t+2 equals y-2=t

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a,b are and c represents the constant.

put t in for x=t^1/2. this is x=(y-2)^1/2,

Squaring both sides we get,

x^2=y-2.

add 2 to both sides, which is y=x^2+2.

This is an example of a quadratic equation.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

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Answer:

$61.92

Step-by-step explanation:

Given data

Charge for food= $48

Tax= 9%

Tip=20%

Let us find the amount of the tax and the tip

Tax

=9/100*48

=0.09*48

=$4.32

Tip

=20/100*48

=0.2*48

=$9.6

Hence the total amount paid is

=48+4.32+9.6

=$61.92

Answer:Null hypothesis:  

Alternative hypothesis:  

The p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n  

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

Statistical decision  

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

Answer:

Diameter is equal to 38 cm.

Step-by-step explanation:

We know that the circumference equals  πd (where d is the diameter).

If we round the value of π to 3.14 then we will get...

πd = 119.32

(3.14)d = 119.32

d = 119.32 / 3.14

d = 38 cm

Therefore the diameter is equal to 38 cm

Answer:

Step-by-step explanation:

The discriminant must be zero.

Discriminant = (-48)^2 - 4*9k = 2304 - 36K

36k = 2304

k = 64

Using the square of a subtraction, it is found that k = 64.

It is a notable product, given by:

[tex](ax - b)^2 = a^2x^2 - 2abx + b^2[/tex]

In this problem, the expression is:

[tex]9x^2 - 48x + k[/tex]

We want it to be the square of a binomial, hence:

[tex]a^2x^2 - 2abx + b^2 = 9x^2 - 48x + k[/tex]

Then, comparing both sides, first the value of a is found:

[tex]a^2 = 9[/tex]

[tex]a = \sqrt{9}[/tex]

[tex]a = 3[/tex]

Then, with the second term, the value of b is found.

[tex]2ab = 48[/tex]

[tex]6b = 48[/tex]

[tex]b = \frac{48}{6}[/tex]

[tex]b = 8[/tex]

Finally, the value of k is found.

[tex]k = b^2 = 8^2 = 64[/tex]

You can learn more about the square of a subtraction at https://brainly.com/question/9239489

Answer:

momdhwdjwbdjwbdjwbdjwbdjwbd a amamamamamamama

Step-by-step explanation: