The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.512.512, point, 5 years; the standard deviation is 2.42.42, point, 4 years.
Use the empirical rule (68 - 95 - 99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a lion living longer than 10.110.110, point, 1 years.

If Andrew takes same amount of time to kayak 4 miles upstream and 9 miles downstream in a river with a 6 mph current, then the speed of Andrew’s kayak in still water is 15.6 miles per hour.

Therefore the answer is 15.6 mph.

We can begin solving the problem by using the equation:

Speed (relative to water) = Speed (in still water) + Speed (of the water)

Let x be the speed of Andrew's kayak in still water.

When kayaking upstream, his speed relative to the water is x - 6 mph (since the current is moving in the opposite direction at 6 mph).

When kayaking downstream, his speed relative to the water is x + 6 mph (since the current is moving in the same direction at 6 mph).

Since the problem states that it takes Andrew the same amount of time to kayak 4 miles upstream as it takes him to kayak 9 miles downstream, we can set up the following equation knowing time = distance/ speed :

4/ (x - 6) = 9/ (x + 6)

Simplifying and solving for x we get

4(x + 6) = 9(x - 6)

4x + 24 = 9x - 54

9x - 4x = 54 + 24

5x = 78

x = 15.6

So, Andrew's kayak speed in still water is 15.6 miles per hour.

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Answer:

16

Step-by-step explanation:

To calculate x we must use the trig function of tangent:

as tangent is opposite divides by adjacent we can get this equation:

[tex]\tan 30 = \frac{9}{x}[/tex] which is equal to:

[tex]x=\frac{9}{\tan 30}[/tex] So x must equal to 15.588.. (just put the second bit in the calculator

As all the values provided are integers you round this to the nearest whole number:

16 (as the third digit, 5, rounds up)

so our answer is 16

Answer:

I am not sure but I think it is D

Step-by-step explanation:

I am nottt smarrttt so sowyyy

Answer:

y > 13

Step-by-step explanation:

Inequality graph:

Answer:

y>13

Step-by-step explanation:

5<y-8

5+8<(y-8)+8

13< y-8+8

13<y

y>13

For Quadratic equation, It is possible to know if there are 2 real solutions by examining the discriminant that is [tex]b^2-4ac[/tex] of the equation [tex]ax^2+bx+c[/tex].

In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.

In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.

discriminant : [tex]b^2-4ac[/tex]

if [tex]b^2-4ac[/tex] is positive, Both solutions are real.

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Answer:

Answer is B

0.008

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

hence we're trying to find leg b.

b=√c2﹣a2=√262﹣242=10

and there, b=10.

Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same​ height at x = 0. And (0,1) is the solution to the system of equation

To know the solution of a system of equation, the two equation can be solved simultaneously.

Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1

Equate the two equations to get x

1.5x + 1 = 1.2x + 1

collect the like terms

1.5x - 1.2x = 1 - 1

0.3x = 0

x = 0

Substitute x in any of the equation.

y = 1.5(0) + 1

y = 1

Yes! The flower will be of the same height at x = 0.

Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.

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After solving, the smallest number of yellow marbles are 4.

In the given question, all of Marcy's marbles are blue, red, green, or yellow.

One third of her marbles are blue, one fourth of them are red, and six of them are green.

We have to find the smallest number of yellow marble.

The 6 green marbles and yellow marbles of the total marbles = 1 - (1/3) - (1/4)

The 6 green marbles and yellow marbles of the total marbles = 5/12

Now, suppose the total number of marbles is x

We know the number of yellow marbles is 5/12 x-6 and a positive integer.

Therefore, 12 must divide x

Trying the smallest multiples of 12 for x.

We see that when x = 12

We get there -1 yellow marbles, which is impossible.

However, when x = 24 here are

= 5/12 x - 6

= 5/12*24 - 6

= 4

So, the yellow marbles are 4 which must be the smallest possible.

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Answer:

x=9.2

Step-by-step explanation:

23/x=17.5/7

cross multiply

17.5x=161

divide

x=9.2

A 2-step problem is a mathematical problem that can be solved using two steps or operations. These types of problems are typically simple and can be solved using basic arithmetic or algebraic concepts.

For example, a 2-step problem could involve solving for one variable in one equation and then substituting that value into another equation to find the value of a second variable.

For example:

2x+3y=10 and 3x-2y=5

Here, first step would be to solve for x in the first equation by isolating x and in the second step we can substitute that value of x in the second equation to solve for y.

It can also refer to a problem that can be solved in two steps by breaking the problem down into simpler parts. For example, a 2-step problem in geometry could involve finding the area of a shape by first finding the area of one part of the shape and then adding that to the area of another part of the shape.

In general, 2-step problems are not complex and can be solved easily by breaking down the problem into simpler parts and solving each part separately.

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Answer:

28 pieces

Step-by-step explanation:

If we try to divide 59 by 2 we get an answer of 29 and r1 so the answer would be 1 friend less.

The area of rectangle with side whole number = ab sq. units,

and area of rectangle with fraction side = ac/bd sq. units.

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with four equally long sides.

Given  to find the area of rectangle,

Area of rectangle is given by product of length and width.

A = l x b

Let the dimensions of a rectangle are all whole numbers, a by b

Area = a x b

A = ab sq. units

another rectangle with dimensions all fractions say, a/b by c/d .

Area = a/b x c/d

A = ac/bd sq. units

In all situations, the area of the rectangle must be calculated by multiplying its length and breadth.

Hence the area of rectangle is product of length to width in both cases.

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Answer:

y = 4x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (1, 3) ← 2 ordered pairs from the table

m = [tex]\frac{3+9}{1+2}[/tex] = [tex]\frac{12}{3}[/tex] = 4 , then

y = 4x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 3 ) , then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 ← equation of line

Answer:

a = 28, b = 12, c = 9

Step-by-step explanation:

The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).

Set up proportions.

[tex]\frac{16}{a}=\frac{4}{7}\\\\4a=112\\\\a=28[/tex]

Next, find b.

[tex]\frac{b}{21}=\frac{4}{7}\\\\7b=84\\\\b=12[/tex]

Finally,

[tex]c=21-b=21-12=9[/tex]

Answer: m=3

Step-by-step explanation:

The strategy to finding the slope is the use the slope formula, which Is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given a point, we can directly plug them in and solve.

[tex]m=\frac{15-0}{5-0} =\frac{15}{5}=3[/tex]

The way we can use mental math is mainly because we are given the origin. We know that anything subtracted by 0 is itself. With the formula, the subtraction gives us 15 and 5. With basic division, we know that 15/5=3.

Answer:

B

Step-by-step explanation:

Remark

If you started at W and went all the way around the circle until you wound up back at W, you will have gone 360 degrees. Since the angle measurement that prevents that is 85 degrees, the answer must be 360 - 85 = 275.

Answer:

275

Step-by-step explanation:

The angle start in V then goes the left to Y and ends in W

First you add the First 34 degrees from V to U.

Then the 90 degrees from U to Y. (you can see it has a square on the angle therefore its 90).

After that you add another 36 degrees from Y to X.

Finally to get the unknown angle from X to W you subtract all the other angles from 360 degrees.

360-245=115

Then add all the angles and you get 275 degrees.

Might be wrong but I think its correct

Answer:

a) 48 portions
b) $157.25

Step-by-step explanation:

1) 15.36/.32 to get 48 portions

2) Since it's asking for 6.25 0.32kg portions, multiply 6.25 by $25.16 to get $157.25

Answer:

2x+4>24

2x>20

x>10

Hope this helps

Have a good day :)

Step-by-step explanation:

Answer: 34.25/6.5

Step-by-step explanation:

2.5*13.7=34.25

4.9+1.6=6.5

Step-by-step explanation:

2.5x13.7=34.25

4.9+1.6=6.5

Answer:

30cm

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation.

29.9 so closest 30cm

In a tank that is 36 inches long, 18 inches wide, and 12 inches tall have approximately 33 gallons of water.

The rectangular tank's volume may be calculated using the formula V = l*b* h, where "l" stands for the tank's length, "b" for its width, "h" for its height, and "V" for its volume.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Volume = length*width*height

V=36*18*12

V=7776 inches^3

which is approximately 33 gallons.

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Sorry for being late but the answer is B

Answer:

B

Step-by-step explanation: e d g 20 22

Answer:

114

Step-by-step explanation:

hope this helps!

Answer:

114

Step-by-step explanation:

7x18= 126

126+45=171

171 divided by 3=57

57x2= 141

Answer:

134

Step-by-step explanation:

Answer:

6)  x = 40.5

8)  x = 16.5

Step-by-step explanation:

6) 45/x = 20/18

simplify and cross-multiply to get:

45/x = 10/9

10x = 405

x = 40.5

8) 22/8 = x/6

11/4 = x/6

4x = 66

x = 33/2

x = 16.5

Answer:

1133.54

Step-by-step explanation:

A=πr2

plug in 19 into r

square 19 and multiply by 3.14

Answer:

Connie, Josie, Patrick, Mimi, Emma

I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct

Step-by-step explanation:

The difference in ages of Marcelle and Megan is 95/12 as an improper fraction and as a mixed number is 7 whole number and the fraction 11/12.

We shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:

Marcelle's age = 15 whole number, 1/2

Marcelle's age = 31/2

Megan's age = 7 whole number, 7/12

Megan's age = 91/12

LCM of 2 and 12 is 12 so;

Marcelle's age = 31/2 × 12/12

Marcelle's age = 186/12

difference in their age (186 - 91)/12

difference in their age = 95/12

Therefore, the difference in the ages of Marcelle and Megan is the fraction 95/12 or as a mixed number is 7 whole number and the fraction 11/12

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