Which proportion resulted in the equation 3a = 7b?

Answer:

(x - 8)^2 + (y + 1)^2 = 68

Step-by-step explanation:

The standard form of the equation of the circle with center (8,−1) is :

(x - 8)^2 + (y + 1)^2 = R^2

If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.

Answer: [tex]9a+14[/tex]

Step-by-step explanation:

Simplify: [tex]4(a+1)+5(a+2)[/tex]

Step 1. Distribute 4 into a and 1. By distributing you would get 4a and 4.

[tex]4*a=4a. \\4*1=4[/tex]

Step 2. Plug 4a+4 back into the remaining equation, which can be viewed below:

[tex]4a+4+5(a+2)[/tex]

Step 3. Distribute, [tex]5(a+2)[/tex] again. Same principle as what you did previously. You should get 5a and 10.

[tex]5*a=5a.\\5*2=10.[/tex]

Step 4. Plug 5a+10 back into the leftover equation, which is as follows.

[tex]4a+4+5a+10[/tex]

Step 5. Combine like terms. Which is broken down below,

[tex]4a+5a=9a.\\4+10=14.[/tex]

Once you're done combining like terms, you'll get the simplified answer which is: [tex]9a+14[/tex]

Answer:

9a +14

Step-by-step explanation:

4(a + 1) + 5(a + 2)

Distribute

4a+4  +5a+10

Combine like terms

4a+5a  +4+10

9a +14

Answer:

21

[tex] \frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21[/tex]

Answer:

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

356 dies were examined by an inspection probe and 244 of these passed the probe.

This means that [tex]n = 356, \pi = \frac{244}{356} = 0.685[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 - 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.637[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 + 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.733[/tex]

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

Answer:[tex]z=a+bi=|z|(cos(θ)+isin(θ))tofindthtrigonometricform.√sin2(ga8A)+cos16(A)(cos(arctan(−1sin(ga8A)cos8(A)))+isin(arctan(−1sin(ga8A)cos8(A))))[/tex]

Step-by-step explanation:

Answer:

save your money by putting it into a savings account at the bank

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

  (6 +3)² +(12 -4)² = r² = 9² +8²

  r² = 81 +64 = 145

Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

Answer:

10,13,14,20,30.............

Answer:

34.55

Step-by-step explanation:

S = 34.55 represents the standard deviation of the residuals which is the correct answer that would be option (B).

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

Students' proficiency in math and English is assessed by a particular standardized test. Ten students were chosen at random, and their math and English test results were recorded and examined.

The computer output displays the outcomes.

Predictor    Coef     SE Coef     t-ratio        p

Constant   -124.13     78.712      0.046

Math           1.223      0.1966      6.220  0.000

S = 34.55     R-Sq = 82.8%      R-Sq (Adj) = 83.5%

In the above ANOVA table, S = 34.55 represents the residual standard deviation.

Therefore, the correct answer is Option B = 34.55.

Option A = 1.223 represents the coefficient of the math score.

Option C = 78.712 represents the Standard Error (S.E).

Option D = 124.13 is the coefficient value.

Hence, the correct answer would be an option (B).

Learn more about the standard deviation here:

https://brainly.com/question/16555520

#SPJ2

Answer:

Find the linearization L(x,y) of the function at each point. f(x,y) = x2 + y2 + 1 a. (4,0) b. (2,0) a. L(x,y) = Find the linearization L(x,y,z) of the function f(x,y,z) = 1x2 + y2 +z2 at the points (7,0,0), (3,4,0), and (4,4,7). The linearization of f(x,y,z) at (7,0,0) is L(x,y,z)= (Type an exact answer, using radicals as needed.)

Answer:

$64.15

Step-by-step explanation:

to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.

it is given that:

they gave the cashier $80.

the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)

$10+$5+$0.80+$0.05=$15.85

the total amount of money that the cashier gave them back is $15.85

to find how much the perfume cost:

$80-$15.85=$64.15

so, the perfume cost $64.15

Answer:

108

Step-by-step explanation:

4×5² + 1×5¹ + 3×5⁰

4×25 + 5+ 3×1

100+5+3

Answer:

stdev= 2.366431913

Step-by-step explanation:

10  stdev= 2.366431913

17  

12  

14  

12  

Answer:

P=2pi×r

P=2×12pi=24pi

24pi÷4=6pi

6pi÷2=3pi

p=2×6×pi

p=12pi

12pi÷2=6pi

permiter=3pi+6pi+12=40.27

that is for part a

Factored form: (x + 1/5)(x + 1/4)

Foil: x^2 + 1/4x + 1/5x + 1/20

Simplify: x^2 + 9/20x + 1/20

Hope this helps!

Answer:

(i) 4 interviewers

(ii) 3 interviewers

Answer:

B

Step-by-step explanation:

At 5 hours the distance traveled is 200 miles. 9 hours is less than double 5 hours so it is 360 miles.

9514 1404 393

Answer:

  2.64 gallons

Step-by-step explanation:

Each gallon costs $3.79, so the number of gallons that can be bought with $10 is ...

  $10/($3.79/gal) = (10/3.79) gal ≈ 2.6385 gal ≈ 2.64 gallons

Answer:

Since they are supplementary, they add up to 180 degrees. Since one is 38 degrees more than the other, you can use the equation x + (x+36) = 180 to find both angles

Step-by-step explanation:

Answer:

(-4, -1/2)

Step-by-step explanation:

The endpoints of AB are (-5,-4) and (-3,3)

To find the midpoints add the endpoints and divide by 2

(-5+-3)/2, (-4+3)/2

-8/2, -1/2

-4,  -1/2

Answer:

[tex]g(-1) = -1[/tex]

[tex]g(0.75) = 0[/tex]

[tex]g(1)= 1[/tex]

Step-by-step explanation:

Given

See attachment

Solving (a): g(-1)

We make use of:

[tex]g(x) = -1[/tex]

Because: [tex]-1 \le x < 0[/tex] is true for x =-1

Hence:

[tex]g(-1) = -1[/tex]

Solving (b): g(0.75)

We make use of:

[tex]g(x) = 0[/tex]

Because: [tex]0 \le x < 1[/tex] is true for x =0.75

Hence:

[tex]g(0.75) = 0[/tex]

Solving (b): g(1)

We make use of:

[tex]g(x) = 1[/tex]

Because: [tex]1 \le x < 2[/tex] is true for x =1

Hence:

[tex]g(1)= 1[/tex]

Given:

A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.

To find:

The quantity of the 60% solution in the mixture.

Solution:

Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.

Quantity of mixture is 234. So,

[tex]x+y=234[/tex]

[tex]x=234-y[/tex]                  ...(i)

The mixture has 43% fertilizer. So,

[tex]\dfrac{60}{100}x+\dfrac{21}{100}y=\dfrac{43}{100}\times 234[/tex]

Multiply both sides by 100.

[tex]60x+21y=10062[/tex]            ...(ii)

Using (i) and (ii), we get

[tex]60(234-y)+21y=10062[/tex]

[tex]14040-60y+21y=10062[/tex]

[tex]-39y=10062-14040[/tex]

[tex]-39y=-3978[/tex]

Divide both sides by -39.

[tex]\dfrac{-39y}{-39}=\dfrac{-3978}{-39}[/tex]

[tex]y=102[/tex]

Putting this value in (i), we get

[tex]x=234-102[/tex]

[tex]x=132[/tex]

Therefore, 132 liters of the 60% solution must be used.

Answer:

Step-by-step explanation:

Tree as an autotroph can prepare its own food and which animals and humans feed upon, so the tree is a producer

Answer:

A

Step-by-step explanation:

         1                                          2                                       3  

days hours minutes       days   hours   minutes     days    hours  minutes  

  7        8         20             6       24+8       20              6        31        60+20

  4       10         30

 -

_______________

         4

days     hours    minutes

  6           31           80

  4            10          30

-

____________________

  2             21          50

___________________

The recursive function is A(t + 1) = A(t) - 75

Where;

A(t) = 1,200 - 75×t

The known parameter are;

The amount Rebecca buys the new couch = $1,200

The amount she plans to make as monthly payment = $75

The time she plans to start paying = The month after she buys the couch

Strategy;

Define a recursive function that models the amount of money Rebecca still has to pay

Definition

A recursive function is one which has its own process as an input in the process of its implementation

A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;

The amount left for her to pay in the present month = The amount left to pay in the previous month - $75

Let A(t + 1) represent the amount left for her to pay in the present month and let A(t) represent the amount left to pay in the previous month, we get;

A(t) = 1,200 - 75×t

A(t + 1) = 1,200 - 75×t - 75 = A(t) - 75

The recursive function is A(t + 1) = A(t) - 75

The function is recursive because, the function, A(t), is called in as an input to the execution of the function

Learn more about recursive functions here;

https://brainly.com/question/13657607

Answer:

f(1) = 1,200

f(n) = f(n-1) -75 for n > 2

Step-by-step explanation:

Since the initial loan amount is $1,200, f(1) =1200.

And since $75 is deducted from the balance each month starting with n >2 , the common difference, d, is  -75 .

Use the general recursive function for an arithmetic sequence,f(n)= f (n - 1 ) +d , for n > 2 to write the recursive function models Rebecca’s situation:

Answer:

A majority of the data will lie between 38 and 46.

Step-by-step explanation:

It can be said that a majority of the data of a distribution lies within 1 standard deviation of the mean.

In this question:

Mean of 42, standard deviation of 4.

42 - 4 = 38

42 + 4 = 46

A majority of the data will lie between 38 and 46.

Answer:

A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.