Please show your work this question what made you come to the conclusion. Thank you

Answer:

31/32

Step-by-step explanation:

There are 2^5, or 32 combinations.

There is only 1 combination which is all 5 children are boys.

So the probability that will have at least 1 girl is: 1 - 1/32 = 31/32

Answer:

2cm

Step-by-step explanation:

area of parallelogram=b*h=18cm

5*4=20

length of corresponding heights=20-18

=2cm

the length of corresponding height of the parallelogram is : 2cm

A parallelogram can be defined as a simple quadrilateral that is it possesses four sides and two pairs of parallel sides.

A opposite sides of a parallelogram are equal and the opposite angles of a parallelogram are equal.

In conclusion, the length of corresponding height of the parallelogram is : 2cm

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Answer:

False, this is not a function

Step-by-step explanation:

This would not represent a function

This would fail the vertical line test

One value of the input has more than one value for the output

9514 1404 393

Answer:

  $70

Step-by-step explanation:

Four relationships are given among four unknowns. Define the following variables: p, c -- the cost of a pie and a cake, respectively. q, d -- the number of pies and cakes, respectively.

  q/d = 5/2 . . . . . the ratio of pies to cakes sold

  pq +cd = 3780 . . . . revenue from the sales

  p = c -35 . . . . . a pie is $35 less than a cake

  cd = pq -420 . . . . revenue from cakes is $420 less than for pies

__

The equations are non-linear, so we're making up this process as we go along. We observe that 'pq' and 'cd' are involved in relations that give us their sum and difference, so these products are easily found. Their ratio can let us take advantage of our knowledge of q/d.

Substituting for cd in the second equation, we get ...

  pq +(pq -420) = 3780

  2pq = 4200

  pq = 2100

  cd = 2100 -420 = 1680

Now, we can write ...

  pq/cd = 2100/1680 = 5/4

  (p/c)(q/d) = 5/4 = (p/c)(5/2) . . . . substitute for q/d

  p/c = 1/2 = (c -35)/c . . . . . . . . . . substitute for p

  c = 2(c -35) . . . . multiply by 2c

  c = 70 . . . . . . . . add 70-c

The cost of a cake is $70.

_____

Additional comment

24 cakes were sold at $70 each. 60 pies were sold at $35 each.

9514 1404 393

Answer:

  21

Step-by-step explanation:

Let c represent the number of child tickets sold. Then 2c is the number of adult tickets sold. The total revenue is ...

  5.80c +9.50(2c) = 520.80

  24.80c = 520.80 . . . . . . . . . simplify

  c = 21 . . . . . . . . . . . . . . divide by 24.80

21 child tickets were sold that day.

Answer:

46

Step-by-step explanation:

200/2 = 100, and the x coordinate that line up with the y-coordinate of 100 is 46.

Answer:

56

Step-by-step explanation:

x = number of muffins in total at the beginning.

x - 5/8 x - 10 = 11

x - 5/8 x = 21

8/8 x - 5/8 x = 21

3/8 x = 21

3x = 168

x = 56

We should multiply the expression by √11/ √11 fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize this, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 2-√10 and its conjugate is; (2+√10).

(2√10)/(3√11) = (2√10)/(3√11)

                      =  ((2√10)√11/(3√11) √11

                =    (2√110)/33

This is the rationalized expression.  

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Answer:

$3792116

Step-by-step explanation:

that's the answer above

Answer:

9/49

Step-by-step explanation:

that is the procedure above

9514 1404 393

Answer:

Step-by-step explanation:

The radius is a function of time:

  r(t) = 60t . . . . . radius in cm; time in s

Then the area of the circle is ...

  A = πr² = π(60t)² = 3600πt²

The rate of change of area is the derivative of this:

  A' = 2·3600πt = 7200πt

The rates of change of interest are ...

  after 2s: 45,239 cm²/s

  after 5s: 113,097 cm²/s

  after 6s: 135,717 cm²/s

Answer:

40

Step-by-step explanation:

range is the difference between the highest and lowest number.

60 is the highest and 20 is the lowest

60-20=40

Answer:

12

Step-by-step explanation:

(10/y + 13) -3

Let y=5

(10/5 + 13) -3

PEMDAS says parentheses first

(2 +13) -3

15 -3

12

The general solution of [tex]\tan bx = 2[/tex] and [tex]x = 0.3[/tex] is [tex]x = 0.095\pi \mp 0.271\pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

From Trigonometry we remember that Tangent is a Transcendental Function that is positive both in 1st and 3rd Quadrants and have a periodicity of [tex]\pi[/tex] radians.  The procedure consists in using concepts of Direct and Inverse Trigonometric Functions as well as characteristics related to the behavior of the tangent function in order to derive a General Formula for every value of [tex]x[/tex], measured in radians.

First, we solve the following system of equations for [tex]b[/tex]:

[tex]\tan bx = 2[/tex] (1)

[tex]x = 0.3[/tex] (2)

Please notice that angles are measured in radians.

(2) in (1):

[tex]\tan 0.3b = 2[/tex]

[tex]0.3\cdot b = \tan^{-1} 2[/tex]

[tex]b = \frac{10}{3}\cdot \tan^{-1}2[/tex]

[tex]b\approx 3.690[/tex]

Under the assumption of periodicity, we know that:

[tex]y = \tan bx[/tex]

[tex]b\cdot x \pm \pi\cdot i = \tan^{-1} y[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

[tex]b\cdot x = \tan^{-1}y \mp \pi\cdot i[/tex]

[tex]x = \frac{\tan^{-1}y \mp \pi\cdot i}{b}[/tex]

If we know that [tex]y = 2[/tex] and [tex]b \approx 3.690[/tex], then the general solution of this trigonometric function is:

[tex]x = \frac{0.352\pi \mp \pi\cdot i}{3.690}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

[tex]x = 0.095\pi \mp 0.271\pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

The general solution of [tex]\tan bx = 2[/tex] and [tex]x = 0.3[/tex] is [tex]x = 0.095\pi \mp 0.271\pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

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9514 1404 393

Answer:

Step-by-step explanation:

The two given points can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (650 -400)/(4 -2) = 250/2 = 125

The vertical axis is cost, and the horizontal axis is years, so the slope is the ratio of these: cost per year.

The slope of $125 per year is the yearly membership dues cost.

Answer:

A

Step-by-step explanation:

Given that the cones are similar then corresponding dimensions are in proportion, that is

[tex]\frac{12}{2}[/tex] = [tex]\frac{3}{x}[/tex] ( cross- multiply )

12x = 6 ( divide both sides by 12 )

x = 0.5 → A

Answer:

The number of quarts of apple juice in a case of 24 bottles is 18.75.

Step-by-step explanation:

This question is solved by proportions, using rules of three.

Amount of ounces:

1 bottle - 25 ounces

24 bottles - x ounces

Applying cross multiplication:

[tex]x = 25*24 = 600[/tex]

600 ounces to quarts:

Each ounce has 0.03125 quarts.

1 ounce - 0.03125 quarts

600 ounces - x quarts:

[tex]x = 600*0.03125 = 18.75[/tex]

The number of quarts of apple juice in a case of 24 bottles is 18.75.

Answer:

-13 degrees celcius.

Step-by-step explanation:

6 degrees are lowered every hour. 6*8 = 48 degrees, 48 degrees are lowered.

35-48 is -13. The room temperature will be -13 eight hours after the process begins.

Answer:

No conclusion possible

Answer:

X * 0.8 = $64

x = $80

Step-by-step explanation:

Answer:

52.8

Step-by-step explanation:

(3×2.6×2/2)+(3×5×3)

= 7.8+45

= 52.8

Answered by GAUTHMATH

Answer:

c

Step-by-step explanation:

The residual for the point line (10,80) is option A 75. at the given line which best fits y = 6.2x + 13.

The graph follows a straight line equation shows a straight line graph.

            slope(m)=tan∅=y axis/x axis.

Straight line graphs show a linear relationship between the x and y values.

solving the equation:-

y = 6.2x + 13

putting value of X = 10

Y = 6.2 * 10 + 13

Y = 62 + 13

Y = 75

Hence the line best fit = 75.

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Answer:

12 free throw attempts

Step-by-step explanation:

First, find what percent of free throw attempts he misses:

6/10

= 0.6

So, he misses 60% of the time. Multiply 20 by 0.6 to find how many you would expect Lamar to miss out of 20 attempts:

20(0.6)

= 12

So, you would expect Lamar to miss 12 free throw attempts

Answer:

C A quadrilateral is both a rectangle and a rhombus

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Answer:

  0

Step-by-step explanation:

The coefficients are the numerical values that are not exponents. Their sum is ...

  4 -1 -2 +3 -4 = 0

Answer:

354°15'38.99''

Step-by-step explanation:

Answer:

b + 5; when b = 3.4 the distance Sandra rode is 17 miles.

Step-by-step explanation:

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans