The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 1,900 people enter the zoo and $5,600.00 is collected.

71

that's all there is to it

Answer: 71

Step-by-step explanation: 6.39 /0.09

71

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.

Any parallel line will do.

__

b) There is one solution when the graphs intersect in exactly one point.

Any line that crosses the one shown will do.

__

c) There are infinite solutions when the graphs describe the same curve.

A line overlapping the one shown is the one you want.

Answer:

(-2, 5)

Step-by-step explanation:

The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The graph of the line is given.

In order to find the coordinate of a point do as follows,

Draw a perpendicular line from any point on the line to x-axis.

The intersection of this line with x-axis will give the x-cordinate.

Similarly, find y-coordinate by drawing a perpendicular line to y-axis.

Applying the above procedure, a point is obtained as (-4, 1).

Hence, the ordered pair for the line shown in the graph is (-4, 1).

To know more about straight line equation click on,

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Answer:

360

Step-by-step explanation:

144/2=72

5×72=360

...........

Answer:

Step-by-step explanation:

For a solution to occur y=y so we can say

3x=2x+2 subtract 2x from each side

x=2, since y=3x

y=3(2)

y=6, so the solution exists at the point

(2,6)

Answer:

151

Step-by-step explanation:

114+131= 272 376-272=104

Answer:

y = -3x - 10

Step-by-step explanation:

Equation to represent the given table can be written in the slope-intercept form, y = mx + b.

m = slope = ∆y/∆x

Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):

Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1

Slope (m) = -3

b = y-intercept = the value of y when x is 0 = -10

To write the equation, substitute m = -3 and b = -10 into y = mx + b.

Thus:

y = -3x + (-10)

y = -3x - 10

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50

Answer:

The solution is [tex]x = 4.4817[/tex]

Step-by-step explanation:

The inverse of the ln function is the exponential, which means that to solve this question, we apply the exponential to both sides.

We have that:

[tex]\ln{(x^4)} = 6[/tex]

Applying exponential to both sides:

[tex]e^{\ln{(x^4)}} = e^6[/tex]

[tex]x^4 = e^6[/tex]

[tex]x = \sqrt[4]{e^6}[/tex]

[tex]x = (e^6)^{\frac{1}{4}}[/tex]

[tex]x = 4.4817[/tex]

The solution is [tex]x = 4.4817[/tex]

Answer:

A and B

Step-by-step explanation:

Hope this helped :)

Answer:

Step-by-step explanation:

3.

area of one triangular face = ½×16×30 = 240 in²

area of base = 30×9 = 270 in²

area of diagonal face = 34×9 = 306 in²

area of vertical face = 16×9 = 144 in²

surface area = 2×240 + 270 + 306 + 144 = 1,200 in²

volume = 240×9 = 2,160 in³

:::::

4.

area of one triangular face = ½×10×10.5 = 52.5 ft²

area of base = 10.5×6 = 270 ft²

area of diagonal face = 14.5×6 = 87 ft²

area of vertical face = 10×6 = 60 ft²

surface area = 522 ft²

volume = 52.5×6 = 315 ft³

1 foot = 12 inches.

Divide total inches by 12:

51 / 12 = 4.25 feet.

The whole number is the number of feet. Now multiply the decimal portion by 12 to get inches:

0.25 x 12 = 3 inches

51 inches = 4 feet 3 inches

The student is 4 feet 3 inches tall

If she is 51 inches, and you want to find the height in feet and inches, just add 12 each times from zero, and since 12 inches is equal to one foot, we can determine the following: 12 can go into 51 about 4 times, which is roughly 48 inches. Then, just subtract 48 from 51, and the answer to that is 3. And since we already know that 48 inches is 4 feet, then all you need to do is add the 3 inches that are left, and you get 4' 3'', or four feet and three inches. I hope this helps you, have a great day!

Answer:

The answer is 19.75

Step-by-step explanation:

You multiply the one in the brackets first

Answer:

it's going to be negative

Answer:

Step-by-step explanation:

1.values of x at y=0 are 1

2.5

3.

(3,-4)

4.

it is a minimum.

5.

axis of symmetry is x=3

Answer:

B, D, F

Step-by-step explanation:

B, D, F

Answer:   The last one is the one with the Median

Step-by-step explanation: Hope this helps ^^

Answer:

18,15,11,14,19,15,6 the last one

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution 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.

21 new employees.

This means that [tex]n = 21[/tex]

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

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

[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]

[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]

[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]

[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Answer:

A. Homes using solar power always have lower utility bills than homes using only gas and electricity.

Step-by-step explanation:

Gas and Electricity

[tex]\bar x = 93[/tex]

[tex]\sigma = 11[/tex]

Solar

Bills: 56, 54 and 51

Required

Determine which of the statements is true

First, we calculate the mean of the given data

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{56 + 54 + 51}{3}[/tex]

[tex]\bar x = \frac{161}{3}[/tex]

[tex]\bar x = 53.67[/tex]

Then, the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - x_i)^2}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{(56 - 53.67)^2 + (54 - 53.67)^2 + (51 - 53.67)^2}{3}}[/tex]

[tex]\sigma = \sqrt{\frac{12.67}{3}}[/tex]

[tex]\sigma = \sqrt{4.223}[/tex]

[tex]\sigma = 2.05[/tex]

So, we have:

Gas or Electricity

[tex]\bar x = 93[/tex]

[tex]\sigma = 11[/tex]

Solar

[tex]\bar x = 53.67[/tex]

[tex]\sigma = 2.05[/tex]

By comparison.

The mean and standard deviation of homes using solar panel is less than home using gas and electricity.

This implies that: (a) is true.

Answer:

209.2

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

each line segment's distance is 8 (count them)

4 * 8 = 32