Based on the data table provided below, how many people would we expect to pick a snake as their favorite animal if 440 people were asked their preferences? Favorite Animal Number Panda 13 Snake 10 Tiger 17 Dolphin 15 104 80 136 120

Answer:

Step-by-step explanation:

0.24 is greater than 0.17, and therefore J's getting a strike next game is more likely.

The event that is more likely is Juanita gets a strike next game.

Probability is the likelihood that an event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that Juanita would have a strike is higher than that of Nina. Thus, it is more likely that  Juanita gets a strike next game.

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[tex]\bf \lim\limits_{x\to 3}~-x^2+6x-8\implies \lim\limits_{x\to 3}~-(3)^2+6(3)-8\implies 1[/tex]

Answer:

2///////////////////////////

Answer:

  m∠QRS = 30°

Step-by-step explanation:

An inscribed angle has half the measure of the intercepted arc.

  (arc QS)/2 = 60°/2 = 30°

The measure of angle QRS is 30°.

Answer:

The measure of arc BC is 44°

Step-by-step explanation:

we know that

m arc AD+m arc DC+m arc BC+m arc AB=360° ----> by complete circle

substitute the given values and solve for m arc BC

98°+120°+m arc BC+98°=360°

m arc BC+316°=360°

m arc BC=360°-316°=44°

Answer:

Step-by-step explanation:

We will see that the probability of not winning the prize is equal to 0.38, so the correct option is b.

In this experiment, we have two possible outcomes.

One outcome is winning the prize, with a probability P and the other outcome is losing, with a probability Q.

Because there are only two outcomes we will have that:

P + Q  = 1

We know that P = 0.62, replacing that we get:

0.62 + Q = 1

Q = 1 - 0.62 = 0.38

So we conclude that the probability of not winning the prize is 0.38, then the correct option is b.

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Answer:

  BF = 30

Step-by-step explanation:

Each midsegment is half the length of the parallel side of the triangle. CE is 60 and is parallel to BF, so BF = 60/2 = 30.

Answer:

Step-by-step explanation:

[tex]\text{We have the recursive formula of a series:}\\\\a_1=5\\a_n=3a_{n-1}\\\\a_2=3a_{2-1}=3a_1\to a_2=3(5)=15\\\\a_3=3a_{3-2}=3a_2\to a_3=3(15)=45\\\\a_4=3a_{4-1}=3a_3\to a_4=3(45)=135[/tex]

Answer:

20

Step-by-step explanation:

The geometric mean of n numbers is the n-th root of their product. For two numbers, it is the square root of their product:

geometric mean = √(8·50) = √400 = 20

The answer is: 20

My work: √8*50 = √400 = 20

You have to take the square root of 8 multiplied by 50.  With that, you would get 400, which is still squared because you have to get the numbers inside of the square root to one number.  After that, you can now take the square root of the number that is inside of it, which in this case it is 400.  The square root of 400 is 20.

I hope this helps!

Answer:

  640 = 0.80·j

Step-by-step explanation:

Let j represent the cost of Jocelyn's computer (in dollars). Adriana's computer cost 20% less, so has a cost that is 0.80·j. We are told that amount is $640, so we can write the equation ...

  640 = 0.80·j

Answer:

The ratio is equal to [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Let

x----> the amount spent on advertising

y----> the amount spent on its website

The ratio is equal to x/y

Remember that

[tex]0.75=\frac{3}{4}[/tex]

so

[tex]\frac{1}{(3/4)}=\frac{4}{3}[/tex]

1. False. [tex]f'(c)=0[/tex] does not necessarily mean that [tex]f(c)[/tex] is a maximum or minimum. It could just as easily be a saddle point. For example, consider the function [tex]f(x)=x^3[/tex] with [tex]f'(x)=3x^2=0[/tex] when [tex]x=0[/tex], yet [tex]f(x)<0[/tex] for [tex]x<0[/tex] and [tex]f(x)>0[/tex] for [tex]x>0[/tex].

2. True. If [tex]f'(x)=0[/tex] for all [tex]x[/tex] in [tex](a,b)[/tex], then [tex]f[/tex] must be constant on that interval.

3. False. In order for the MVT to apply, [tex]f[/tex] must be continuous on the closed interval. But [tex]\dfrac1{x^2}[/tex] does not exist at [tex]x=0[/tex].

The first statement about f'(c)=0 implying a local maximum or minimum is true. The second statement that if f'(x)=0 on an interval implies the function is constant is also true. Lastly, the Mean Value Theorem cannot be applied to f(x) = 1/x² on the interval [-1, 1] because the function is not continuous at x=0.

True or false:

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Answer:

is this all apart of the answers or separate questions??

Step-by-step explanation:

1. B

2.C

3.C

4.A

5.D

Answer:

400 units³

Step-by-step explanation:

The volume (V) of the square pyramid is

V = [tex]\frac{1}{3}[/tex] area of base × height (h)

where h is the perpendicular height.

Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )

Using Pythagoras' identity on the right triangle

h² + 5² = 13²

h² + 25 = 169 ( subtract 25 from both sides )

h² = 144 ( take the square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12

Area of square base = 10² = 100, hence

V = [tex]\frac{1}{3}[/tex] × 100 × 12 = 4 × 100 = 400

Answer:

For the equation

1) [tex]9 + | 2x - 3 | = 7[/tex]

x=0.5 and x=2.5

For the equation

2) [tex]3 + | 2x - 4 | = 15[/tex]

x=8 and x=-4

Step-by-step explanation:

For the equation

1) [tex]9 + | 2x - 3 | = 7[/tex]

we have 2 cases

Case 1 [tex](2x - 3)> 0[/tex]

[tex]9 + 2x - 3 = 7\\2x = 7 + 3-9\\2x = 1\\x = 0.5[/tex]

Case 2 [tex](2x - 3) <0[/tex]

[tex]9 - (2x - 3) = 7\\-2x + 3 = 7-9\\-2x = 7-9-3\\-2x = -5\\x = 2.5[/tex]

For the equation

2) [tex]3 + | 2x - 4 | = 15[/tex]

we have 2 cases

Case 1 [tex](2x - 4)> 0[/tex]

[tex]3 + 2x - 4 = 15\\2x = 15 + 4-3\\2x = 16\\x = 8[/tex]

Case 2 [tex](2x - 4) <0[/tex]

[tex]3 - (2x - 4) = 15\\-2x +4 = 15-3\\-2x = 15-3-4\\-2x = 8\\x = -4\\[/tex]

Given an implication of the form [tex]P\implies Q[/tex]

The equivalent implication is [tex]\lnot Q \implies \lnot P[/tex]

So, you have to negate both propositions and invert the order:

If a triangle is not isosceles, then it's not equilateral.

Answer:

The answer on Plato is C as this is a final product

Step-by-step explanation:

These are the choices on Plato

A. wood

B. steel

C. needle

D is the correct answer

the result of subtracting (5x + 3) from (9x - 7) is 4x - 10. Therefore, the correct option is C: 4x - 10.

To subtract (5x + 3) from (9x - 7), we need to distribute the negative sign to all the terms in (5x + 3) and then perform the subtraction term by term.

(9x - 7) - (5x + 3)

= 9x - 7 - 5x - 3

Now, combine like terms:

= (9x - 5x) + (-7 - 3)

= 4x - 10

So, the result of subtracting (5x + 3) from (9x - 7) is 4x - 10. Therefore, the correct option is C: 4x - 10.

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Answer:

see explanation

Step-by-step explanation:

Given

P(x) = x³ + 7x² + 4x, then

P(a) = a³ + 7a² + 4a ← substitute x = a into polynomial

To evaluate P(- 2) substitute a = - 2 into P(a)

P(- 2) = (- 2)³ + 7(- 2)² + 4(- 2) = - 8 + 28 - 8 = 12

Since P(- 2) ≠ 0 then (x + 2) is not a factor of P(x)

Answer:

12

Step-by-step explanation:

(-2)³ + 7(-2)² + 4(-2)

12

Answer:

Step-by-step explanation:

You might see this a bit easier if you change the 5/4 * pi into degrees.

pi/180 = 5/4*pi / x                   This is the proportion. Change 5/4 into a decimal

pi/180 = 1.25 *pi / x                 Cross multiply

x * pi = 1.25 pi * 180                Divide by pi

x = 1.25 * 180

x = 225 degrees.

The fraction of the area of the sector is angle/360

The fraction of the area  of the sector is 225/360  

The fraction of the area area of the sector is 5/8    Reduced.

225: 3*3*5*5

360 = 2*2*2*5*3 *3  

Cancel out the common factors

3 * 3 * 5

which leaves 5/8

Two

-3x^2 + 5x - 2 - 2x^2 + 4x + 2

- 5x^2 + 9x (the 2's cancel)

a = - 5

b = 9

c = 0

ANSWER

(1,4)

(-∞,-3)

EXPLANATION

The interval where a portion of the graph is below the x-axis is where the graph is negative.

From the graph , the curve is below the x-axis on the interval (-∞,-3). Hence the graph is negative on this interval.

Also the graph is below the x-axis on the interval (1,4). This is also another interval where the graph is negative.

Answer:

26 + 10i is your answer.

ANSWER

The radius is 25 inches

EXPLANATION

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

[tex] {r}^{2} = {7}^{2} + {24}^{2} [/tex]

[tex]r^{2} = 49 + 576[/tex]

Simplify

[tex]r^{2} = 625[/tex]

Take positive square root,

[tex]r = \sqrt{625} [/tex]

[tex]r = 25[/tex]

Hence the radius is 25 inches

I would personally go w/ b or c

There is exactly one solution for this triangle, and the correct answer is:  b. 1 solution

To determine the number of solutions for the given triangle with angles A, C, and side c, we can use the Law of Sines, which states that in any triangle:

[tex]\[\frac{\sin(A)}{a} = \frac{\sin(B)}{b} = \frac{\sin(C)}{c}\][/tex]

 Given:

- Angle A = 90 degrees (since it is a right angle, we assume A is the right angle for the purpose of this solution)

- Angle C = 4 degrees

- Side c = 12 units (opposite to angle C)

Since angle A is 90 degrees, we know that this triangle is a right-angled triangle. In a right-angled triangle, the other two angles must add up to 90 degrees. We are given one of those angles, C, which is 4 degrees. Therefore, the third angle, B, which is opposite side b, can be calculated as:

[tex]\[B = 90^\circ - C = 90^\circ - 4^\circ = 86^\circ\][/tex]

 Now, we have all three angles: A = 90°, B = 86°, and C = 4°. The sum of angles in any triangle is 180 degrees, and in this case:

[tex]\[A + B + C = 90^\circ + 86^\circ + 4^\circ = 180^\circ\][/tex]

 This confirms that the angles are consistent with the angles of a triangle.

Next, we can find the length of side b using the Law of Sines:

[tex]\[\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\][/tex]

[tex]\[\frac{\sin(86^\circ)}{b} = \frac{\sin(4^\circ)}{12}\][/tex]

Since 86° and 4° are acute angles and sine of an acute angle is unique, there will be a unique positive value for b. This means there is only one possible length for side b that will satisfy the conditions of the triangle.

 Therefore, there is exactly one solution for this triangle, and the correct answer is:

b. 1 solution

The solution is the point where the two lines meet. The answer is D.

Answer:

1

8

Step-by-step explanation:

What do we know:

John and George raked 7/8 of the yard.

John raked 3/4 of 7/8

What we need to know is:

How much did George rake?

How? Subtract the fractions given.

7 - 3

8 4

To do this we must make the denominator (bottom) number the same. How? Find the least common denominator for 8 and 4. Basically what is the lowest number that both 8 and 4 can be divided.

Answer is 8

8 divided by 8 is 1

4 divided by 8 is 2

so

7 - 3 ×2 6

8 4 ×2 = 8

7 _ 6 = 1

8 8 8 is how much George raked.

Answer:

First Answer: y + 4 = -3(x - 3)

Second Answer: y - 5 = (-3/4)(x - 4)

Step-by-step explanation:

That answer was correct :)

Answer:

1. y + 4 = -3(x - 3)

2. Second Answer: y - 5 = (-3/4)(x - 4)

:)))

Answer:

the answr is a 240

Step-by-step explanation:

beacuse you have to desept the question

Answer:

240 is the answer

Answer:

The measure of arc HD is 20°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In the triangle of the figure , the measure of the third  interior angle is equal to

180°-92°-38°= 50°

50°=(1/2)[(102+18)°-arc HD]

100°=[120°-arc HD]

arc HD=120°-100°=20°

Answer:

 arc HD = 20°

Step-by-step explanation:

Let point N be the point where secant RL intersect the circle, point M be the point of intersection for chords NL and KH, and point S be the vertex of the triangle formed by secants KH and RD.

It is given that m∠SRM = 38∘ and m∠RMS = 92∘. Use the Triangle Sum Theorem to determine m∠MSR.

m∠MSR = 180° − 92∘ − 38∘  = 50∘

It is also given that mPN = 18∘ and mNK = 102∘. So, mPK = 18∘ + 102∘ = 120∘.

If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. So,  

m∠MSR= 1 /2 (mPK − mHD)

Substitute the known values and solve for mHD.

50∘ = 1/2 (120∘ − mHD)

Multiply by 2.

100 = 120∘ − mHD

Simplify.

mHD = 20

Therefore, the measure of arc HD is 20∘.

Consecutive numbers: 1, 2, 3, 4, 5.

As we can see it's the latest plus 1

So,

x, x + 1, x + 1 + 1, x + 1 + 1 + 1

x, x + 1, x + 2, x + 3 and so on

So it's x + 1.

For this case we have that by definition, a consecutive number is obtained by adding a unit to the previous one.

Example:

n, n + 1, n + 2, n + 3 ...

So:

If "x" is the first number of Ameekah, its second number to form a series of consecutive integers must be:

x + 1, that is, add "1" to the previous number.

Answer:

x + 1

Option B

Answer:  [tex]\bold{B)\quad \dfrac{x-2}{x+1}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2+5x-14}{x^2+8x+7}\\\\\\=\dfrac{(x+7)(x-2)}{(x+7)(x+1)}\\\\\\=\dfrac{x-2}{x+1}[/tex]