Maggie's brother is 6 years younger than four times her age. The sum of their ages is
59.
How old is Maggie?
Maggie is
years old.

Answer:

A

Step-by-step explanation:

JUst answered same question

Answer:

Step-by-step explanation:

[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]

[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]

[tex] = 3 - \sqrt{3} (ans)[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

Answer: 5

Step-by-step explanation:

Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.

Answer:

75% cotton

Step-by-step explanation:

3/4=75%

1/4=25%

total 100%

Answer:

According to the table, 97,825 females from a randomly selected population of 100,000 females live to the age of 38.

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Plato

Answer:

We fail to reject the null and conclude thattherw is no difference in population means.

Step-by-step explanation:

Before After

5.6 6.4

1.3 1.5

4.7 4.6

3.8 4.3

2.4 2.1

5.5 6.0

5.1 5.2

4.6 4.5

3.7 4.5

H0 : There is no difference in population

H1 : There population are not all equal

Difference, d = (Before - After)

d = -0.8, -0.2, 0.1, -0.5, 0.3, -0.5, -0.1, 0.1, -0.8

The test statistic :

T = dbar / (Sd/√n)

dbar = Σx / n = - 2.4 / 9 = 0.2666

Standard deviation of difference Sd; [√Σ(d - dbar)² / n-1]

Sd = 0.403 (using calculator)

Hence,

T = dbar / (Sd/√n)

-0.266 / (0.403/√9)

-0.266 / 0.1343333

= - 1.980

The Pvalue ;

df = n - 1 ; 9 - 1 = 8

Pvalue(-1.980, 8) = 0.083

α = 0.05

Since Pvalue > α; We fail to reject the null and conclude thattherw is no difference in population means.

3914 1404 393

Answer:

  Ghs 2924.1

Step-by-step explanation:

The man's pay including his bonus was ...

  (1 +4/5)(Ghs 1624.5) = Ghs 2924.1

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

Answer:

its D 4x- 13

Step-by-step explanation:

i just did the question

Answer:

.8

Step-by-step explanation:

The ratios have to be the same for the cones to be similar

10       4

----- = ------

2         x

Using cross products

10x = 4*2

10x = 8

Divide by 10

x = 8/10

x = .8

Answer:

Step-by-step explanation:

Answer:

For Task B: [tex]3x^4 - 2x^3[/tex]

Step-by-step explanation:

Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!

Answer:

y=2x+4

this the right answer

Answer:

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

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

Answer:

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

One of the six sides is 2:

This means that [tex]p = \frac{1}{6}[/tex]

If the spinner is spun two times, what is the probability it will land on both 2 sides?

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Answer:

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Answer:32.5% fo people will buy

Step-by-step explanation:

mostly half of the people with order

Answer:

Ask in English then I can help

Answer:

  s/(100r)

Step-by-step explanation:

The % symbol is a shorthand way of writing /100, so ...

  s% of 1/r = (s/100) × (1/r) = s/(100r)

Answer:

Solution given:

S% of 1/r=S/100*1/r=S/(100r) is a required answer.

Step-by-step explanation:

% means divide by 100.

Answer:

fog(x) is D = 6[tex]\sqrt{x}[/tex]

Step-by-step explanation:

I. square all value, so f(x) is 2x then g(x) is 18x

II. Replace x.value in f(x) with g(x).value = 2(18x)

III. If x is 1, 2(18*1) will be 36; find root, so answer is 6

If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]

Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)

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Answer:

  -36

Step-by-step explanation:

Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.

  an = a1 +d(n -1)

  a8 = a1 + d(8 -1) = 60

  a12 = a1 + d(12 -1) = 48

The difference of these equations is ...

  (a1 +7d) -(a1 +11d) = (60) -(48)

  -4d = 12

  d = -3

Substituting into the first equation, we have ...

  a1 +7(-3) = 60

  a1 = 81 . . . . . . . . . add 21

Then the 40th term is ...

  a40 = 81 -3(40 -1) = 81 -117

  a40 = -36

Answer:

A. y = -x + 1

Step-by-step explanation:

The function can be represented in the slope-intercept form such as y = mx + b

m = slope = change in y/change in x

b = y-intercept = the starting value or the value of y when x is 0.

✔️Find slope (m) using two pair of values from the table, say (0, 1) and (1, 0):

Slope (m) = (0 - 1)/(1 - 0) = -1/1

Slope (m) = -1

✔️ y-intercept (b) = 1 (y = 1 when x is 0)

✔️Write the equation by substituting m = -1 and b = 1 into y = mx + b:

y = -1(x) + (1)

y = -x + 1

Answer:

Reject H0 and conclude that population means are different.

Step-by-step explanation:

H0: μ1 = μ2

H1: μ1 ≠ μ2

x1 = 11 ; σ1 = 4 ; n1 = 49

x2 = 14 ; σ2 = 5 ; n2 = 64

The test statistic :

(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]

Test statistic :

(11 - 14) / sqrt[(4²/49 + 5²/64)]

Test statistic :

-3 / √0.7171556

Test statistic = - 3.542

Using α = 0.01

The critical value Zα/2 ; Z0.01/2 = 2.58

Decison region :

Reject H0 : if Test statistic < Zcritical

Reject H0 : - 3.542 < - 2.58

Answer:

Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

---------------------------------

E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Stan H.

Answer:

y+1 = 2(x-1)

Step-by-step explanation:

Point slope form for a line is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

We are given the point(1,-1)

y --1 = 2(x-1)

y+1 = 2(x-1)

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

Answer:

|-8|

= |-8| = 8

|-8|. |-a = a , a> o

= 8

Answer:

it's very hard

im sorry dunno

Answer:

Step-by-step explanation:

5 years

[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]

10 years

[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]

486 months:

[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]

round those as you please