Nachelle has a bag of candy full of 1 strawberry chew and 19 cherry chews that she
eats one at a time. Which word or phrase describes the probability that she reaches in
without looking and pulls out a cherry chew?

Answer:

no your answer is correct :)

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

D

Step-by-step explanation:

30 must be factored into

2  and 15

3  and 10

5 and 6

The two numbers chosen from the list above must add to 17

Only one set will do and that is 2 and 15

So the answer is

(x - 2)(x - 15)

which is the answer

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

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Answer:

see below

Step-by-step explanation:

As sin(t) = -3 / 5 and in quadrant 4

so cos is positive

a) sin^2(t) + cos^2(t) = 1

(-3/5)^2 + cos^2(t) = 1

cos^2(t) = 1 - (9/25)

cos^2(t) = (25 - 9) / 25 = 16/25

cos(t) = +4/5

b) sin(2t) = 2 sin(t)cos(t)

= 2 * (-3/5) * (4/5)

= -24/25

c) cos(2t) = cos^(t) - sin^2(t)

= (4/5)^2 - (-3/5)^2

= 16/25 - 9 / 25

= 7 / 25

d) tan(2t) = sin(2t) / cos(2t)

= (-24/25) / (7/25)

= -24/7

e) as sin(2t) is negative and cos(2t) is positive

2t is in Quadrant 4

I am not sure for below three

f) cos(t) = cos^2(1/2 t) - sin^2(1/2 t) = 4/5

  cos^2(1/2 t) + sin^2(1/2 t) = 1

by adding and solving

1 + 4/5 = 2 * cos^2(1/2 t)

9/10 = cos^2(1/2 t)

cos(1/2 t) = +- 3/\(\sqrt{10}\)

and sin(t) = 2 * sin(1/2 t) * cos(1/2 t) = -3/5

2 * sin(1/2 t) * 3/sqrt{10} = -3/5

sin(1/2 t) = +- 1/sqrt{10}

means here sin and cos for 1/2 t should be opposite signs

so it is either 2nd or 4th quadrant

g) sin( 1/2 t) = +-1/sqrt{10}

h) cos(1/2 t) = +- 3/sqrt{10}

As education level increases the unemployment rate decreases this is a negative linear type correlation.

There are three main types of correlations they are positive linear correlation where both the variables related to each other increase or decrease simultaneously.

In negative linear correlation between two variables if one variable is increasing the other starts to decrease and vice versa and the third type of correlation is where there is no correlation increase and decrease happen in random way that is quite difficult to form in terms of numerical form or graphing them.

According to the given statement as education level increases the unemployment rate decreases.

This is an example of negative linear correlation as one variable increases the other related to it decreases.

Increase in education level decreases unemployment as with higher education people learn new skills,they become more aware of their surroundings and most importantly education teaches us to think logically these are the things that a co-operate world wants.

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Answer:

2 places to the left

Step-by-step explanatiS

Answer:

1335 toys per day.

Step-by-step explanation:

The number of toys produced per day can be modeled by the following function:

\(N(t) = N(0) + at\)

In which N(0) is the current number and a is the increase.

A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each year.

This means that \(N(0) = 950, a = 55\)

So

\(N(t) = N(0) + at\)

\(N(t) = 950 + 55t\)

If the company follows through on this plan, how many toys will it be producing per day in 7 years?

This is N(7).

\(N(t) = 950 + 55t\)

\(N(7) = 950 + 55*7 = 1335\)

1335 toys per day.

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

Answer:

<4  (D)

Step-by-step explanation:

it is the same angle :D

also can you please help me??

Answer:

simple math convert mph to fps and multiply by 72: 105.6

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

the answer is 924.8 round it up and you get 925

Step-by-step explanation:

Answer:

a) 90

b) 46

c) 111

d) -45

Step-by-step explanation:

78 is greater than -12 by 90 (78 + (-12) = 66)

-23 is less than 23 by 46 (23 + (-23) = 0)

To give 105, 111 must be added to -6 (105 + (-6) = 99)

To give -30, -45 must be added to 15 (-30 + 15 = -15)

Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.

DE = 3x + 4

EF = 5x - 2

DE = EF

DE + EF = DF

Now, let's plug our values for DE and EF into our first expression.

3x + 4 = 5x -2

Add 2 to both sides and subtract 3x from both sides.

6 = 2x

Divide both sides by 2

3 = x

Let's plug 3 in for x into DE.

DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13

DE = EF = 13

We can plug 13 in for DE and EF to get DF

DF = DE + EF = 13 + 13 = 26

The probability that the buyer waits more than 10 minutes is 0.0271

From the question, we have the following parameters that can be used in our computation:

Probability function:

fy(y)=0.2e^(-0.2y), y ≥ 0

The inequality expression y ≥ 0 means that

The value of y is atleast 0

The probability that the buyer waits more than 10 minutes means that

y = 10

So, we have the following representation

y = 10 in fy(y)=0.2e^(-0.2y)

Substitute the known values in the above equation, so, we have the following representation

fy(10)=0.2e^(-0.2 * 10)

Evaluate the exponents

fy(10)=0.2 * 0.13533528323

Evaluate the products

fy(10) = 0.0271

Hence, the probability is 0.0271

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Answer:

C. 26°, 64°, 90°

Step-by-step explanation:

The solution for the given expression is 14∛x. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5∛x + 9∛x

The given expression can be simplified as follows,

5∛x + 9∛x

Here, both the terms have equivalent variables. So, both are like terms.

As per the rules like terms can be added or subtracted keeping the variable as the same.

Thus, 5∛x + 9∛x = 14∛x

Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.

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The sack of food Costs $300 for dogs and $250 for cats.

The unknown quantities.  the cost of a bag of dog food as "x" and the cost of a bag of cat food as "y".

Based on the given information, we can establish the following equations:

2x + 6y = 2100   (equation 1)

5x + 2y = 2000   (equation 2)

Now, we can solve the system of equations using methods such as substitution or elimination.

One way to solve it is to multiply equation 2 by 3 and equation 1 by 5 to match the coefficients of "y" and then subtract the equations:

15x + 6y = 6000   (equation 3)

-10x - 30y = -10500   (equation 4)

By adding equations 3 and 4, we get:

15x + 6y - 10x - 30y = 6000 - 10500

5x - 24y = -4500   (equation 5)

Now, we can solve equation 5 to obtain the value of "x":

5x = 24y - 4500

x = (24y - 4500) / 5

Next, we can substitute this expression for "x" into one of the original equations to solve for "y". Let's use equation 1:

2((24y - 4500) / 5) + 6y = 2100

Now, we can simplify and solve for "y":

(48y - 9000) / 5 + 6y = 2100

48y - 9000 + 30y = 10500

78y = 19500

y = 250

Therefore, the cost of a bag of cat food is $250.

Substituting this value back into equation 1, we can solve for "x":

2x + 6(250) = 2100

2x + 1500 = 2100

2x = 600

x = 300

Hence, the cost of a bag of dog food is $300.

Therefore, the sack of food costs $300 for dogs and $250 for cats.

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Answer:

11x + 12

Step-by-step explanation:

9x + 3x = 11x

8 + 4 = 12

Answer:

24x²

Step-by-step explanation:

first add 9 plus 8 plus 3 plus 4 to get 24 then since there are 2 x's that makes in 24x²

Answer:

$45.5

Step-by-step explanation:

Assuming that there is no tax or change in rate its simply $91 divided by two. We know that 45 is half of 91, 45.5 x 2 = 91

The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2

The given shape is the right-angled triangle

Such that

We have angles = 30 degrees and 45 degrees

The measure of y can be calculated using the following sine ratio

sin(45) = y/24

Make y the subject

So, we have

y = 24 * sin(45)

When evaluated, we have

y = 12√2

The length x is calculated as

sin(30) = x/y

So, we have

x = y * sin(30)

This gives

x = 12√2 * 1/2

Evaluate

x = 6√2

Hence, the value of x in the triangle is 6√2

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The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

The trigonometric ratio sin(θ) which applies to right triangles, is given by

Graphically,

Therefore, the ratio that represents the sine of angle P is

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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Answer:

C(d) = 0.64c +37.95

Step-by-step explanation:

C(38) = 0.64(38) + 37.95 = $62.27