a flower store has an inventory of 2525 roses, 1515 lilies, 3030 tulips, 2020 gladiola, and 1010 daisies. a customer picks one of the flowers at random.

The rate of the plane in still air is 550 mph, and the rate of the wind is 50 mph.

Let's denote the rate of the plane in still air as "p" and the rate of the wind as "w".

When the plane flies into the wind, its effective speed is reduced by the speed of the wind.

So, the speed of the plane relative to the ground is:

p - w

Similarly, when the plane flies with the wind, its effective speed is increased by the speed of the wind, so its speed relative to the ground is:

p + w

We know that the distance traveled by the plane is 3000 miles in both cases, so we can set up two equations based on the formula:

distance = rate x time

When the plane flies into the wind:

3000 = (p - w) x 6

And when the plane flies with the wind:

3000 = (p + w) x 5

Now we have two equations with two unknowns, which we can solve for "p" and "w".

Let's start by simplifying both equations:

Equation 1: 3000 = 6p - 6w

Equation 2: 3000 = 5p + 5w

We can then solve for one of the variables in terms of the other. For example, we can solve for "p" in terms of "w" by rearranging Equation 2:

5p = 3000 - 5w

p = (3000 - 5w) / 5

We can then substitute this expression for "p" into Equation 1 and solve for "w":

3000 = 6[(3000 - 5w) / 5] - 6w

Multiplying both sides by 5:

15000 = 6(3000 - 5w) - 30w

Distributing the 6:

15000 = 18000 - 30w - 30w

Combining like terms:

15000 = 18000 - 60w

Subtracting 18000 from both sides:

-3000 = -60w

Dividing both sides by -60:

w = 50

Now that we know the rate of the wind is 50 mph, we can substitute this value into either Equation 1 or Equation 2 to solve for "p".

Let's use Equation 2:

3000 = 5p + 5(50)

3000 = 5p + 250

2750 = 5p

p = 550.

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Answer:

Step-by-step explanation:

1) The length of the side DE by similar triangle theorem is; Option C: 20

3) If RY = b + 4 and SE =20, then the value of b is; 6

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. Thus, we can say that equilateral triangles, squares of any side lengths are as well examples of similar objects. This means that, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

1) ΔABC ~ ΔDEF

We are given the similar triangles ABC and DEF.

We are also told that ΔABC ~ ΔDEF.

Now, If AB = 10, AC = 8 and DF = 16

Thus, by similar triangle theorem, we can apply it to the attached triangle to get;

AB/DE = AC/DF

DE = (AB * DF)/AC

DE = (10 * 16)/8

DE = 20

3) Now, by using the concept of similar triangles, since we are given that;

R is the midpoint of line SH.

Y is the midpoint of line EH

RY = b + 4

SE =20

(b + 4)/20 = 1/2

Cross multiply to get;

2(b + 4) = 20

2b + 8 = 20

2b = 20 - 8

b = 12/2

b = 6

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When the population mean and standard deviation are known, you use the standard normal distribution

There are several probability distributions; these include

Of all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,

Note that it is also referred to as the z-distribution

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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The probability of a birth occurring before 245 days, which is the probability of a newborn baby being premature.

To do this, we need to calculate the area under the normal distribution curve that represents the probability of a birth occurring before 245 days.

We can use a standard normal distribution table or an appropriate applet to find this probability. Using the applet, we can enter the mean, standard deviation, and the value of 245 days to find the probability.

In mathematical terms, we can write this as:

P(birth before 245 days) = probability of a randomly selected newborn baby being premature

= P(X < 245), where X is the random variable representing pregnancy length

Using the normal distribution table or applet, we can find P(X < 245) by calculating the area under the normal distribution curve to the left of 245 days.

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Answer:

i have a question like that too so i reset it..

To determine the intervals of continuity for the function f(x) = (x - 3) / (x^2 + 3x - 18), we first need to identify any discontinuities. Discontinuities occur when the denominator is equal to zero. We can factor the denominator as follows:

x^2 + 3x - 18 = (x - 3)(x + 6)

The denominator is equal to zero when x = 3 or x = -6. Therefore, the function has discontinuities at x = 3 and x = -6.

Now, we can describe the intervals of continuity using interval notation:

(-∞, -6) ∪ (-6, 3) ∪ (3, ∞)

For the identified discontinuities, the conditions of continuity that are not satisfied are:

A. There is a discontinuity at x = c where f(c) is not defined.
C. There is a discontinuity at x = c where lim x→c f(x) does not exist.

In summary, the function f(x) is continuous on the intervals (-∞, -6) ∪ (-6, 3) ∪ (3, ∞) and has discontinuities at x = 3 and x = -6, with conditions A and C not being satisfied.

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The answer is:

The interval on which the function is continuous is (-∞, -6) U (-6, 3) U (3, +∞).

The discontinuities are x = -6 and x = 3.

The conditions of continuity that are not satisfied are B and C.

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To determine the intervals on which the function is continuous, we need to check for any potential discontinuities. The function is continuous for all values of x except where the denominator is equal to zero, since division by zero is undefined.

To find the discontinuities, we set the denominator equal to zero and solve for x:

x² + 3x - 18 = 0

Factoring the quadratic equation, we have:

(x + 6)(x - 3) = 0

Setting each factor equal to zero, we find two possible values for x:

x + 6 = 0 --> x = -6

x - 3 = 0 --> x = 3

Therefore, the function has two potential discontinuities at x = -6 and x = 3.

Now, we can analyze the conditions of continuity for these potential discontinuities:

A. There is a discontinuity at x = c where f(c) is not defined.

Since f(c) is defined for all values of x, this condition is not met.

B. There is a discontinuity at x = c where lim x→c f(x) ≠ f(c).

To determine this condition, we need to evaluate the limit of the function as x approaches the potential discontinuity points:

lim x→-6 (x - 3) / (x² + 3x - 18) = (-6 - 3) / ((-6)² + 3(-6) - 18) = -9 / 0

Similarly,

lim x→3 (x - 3) / (x^2 + 3x - 18) = (3 - 3) / (3^2 + 3(3) - 18) = 0 / 0

From the calculations, we can see that the limit at x = -6 is undefined (not equal to -9) and the limit at x = 3 is also undefined (not equal to 0).

C. There is a discontinuity at x = c where lim x→c f(x) does not exist.

Since the limits at x = -6 and x = 3 do not exist, this condition is met.

D. There are no discontinuities; f(x) is continuous.

Since we found that there are two potential discontinuities, this choice is not applicable.

Therefore, the answer is:

The interval on which the function is continuous is (-∞, -6) U (-6, 3) U (3, +∞).

The discontinuities are x = -6 and x = 3.

The conditions of continuity that are not satisfied are B and C.

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The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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The value of x in the given 45-45-90 triangle is 9.89.

The given triangle is a right-angled triangle which can be solved using the Pythagoras theorem. The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the base and the square of the perpendicular. This theorem can be applied to all right-angled triangles.

In the given triangle, we have been told that the length of both legs is 7. Now, after applying the theorem -

= 7²+7² = H²

= 49 + 49 = H²

= 98 = H²

= √98 = H

= 9.89 = H

Hence, this is the value of x.

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If one bead were randomly selected, the likelihood that it would be green is 40.9090%.

According to the question, given that

10 red beads, 3 blue beads, and 9 green beads are all contained in a bag. if just one bead was chosen at random

The likelihood that the bead will be green

⇒ \(\frac{9}{10 + 3 + 9}\)

⇒  \(\frac{9}{22}\)

⇒ 0.409 ≈ 40.9090 %

Therefore, probability of  one bead was chosen at random that the bead is green = 40.9090 %

determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.

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The probability that a single bead would be green if chosen at random is 40.9090%.

In response to the query, assuming that

A bag contains ten red beads, three blue beads, and nine green beads. suppose a single bead were picked at random

a bead's chance of being green

= 9/10+3+9

= 9/22

= 0.409 ≈ 40.9090 %

Therefore, probability of  one bead was chosen at random that the bead is green = 40.9090 %

Utilize probability to ascertain the likelihood of something happening. Many things are difficult to foresee with absolute confidence. Using it, we can only predict the likelihood of an event occurring or how likely it is. On the scale of probabilities, 0 denotes impossibility and 1 denotes certainty. For pupils in Class 10, probability is a crucial subject because it covers all of the subject's key ideas. In a sample space, the chance of each event is 1.

The circumference of the circle given the radius as 9 cm in terms of π is 18π cm.

Circumference of a circle = 2πr

Where,

Radius, r = 9 cm

Circumference of a circle = 2πr

= 2 × π × 9

= 18π cm

Ultimately, the circumference in terms of π is 18π.

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The rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

To find the rate at which lemons are being used in cups of lemonade per lemon, we need to divide the number of cups of lemonade produced by the number of lemons used.

In this case, 5 cups of lemonade are produced from 6 lemons, so the rate at which lemons are being used in cups of lemonade per lemon is:

5 cups of lemonade ÷ 6 lemons = 0.83 cups of lemonade per lemon (rounded to two decimal places)

the rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

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Answer:

The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The dihedral group of order 66 is denoted by D(33). This group has 66 elements, and it is generated by two elements, r and s, subject to the relations\(r^33 = s^2 = (rs)^2 = e\), where e is the identity element.

We consider the possible order orders in this group to determine the number of elements of order m in D(33). By Lagrange's theorem, the order of any element in a group must divide the order of the group. Thus, the possible orders of elements in D(33) are 1, 2, 3, 6, 11, 22, 33, and 66.

Elements of order 1: There is only one element of order 1 in D(33), namely the identity element e.

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Answer:

The axis of symmetry is x = 5/2.

Step-by-step explanation:                             -b           -(-5)

The formula for the axis of symmetry is x = --------  =  --------- = 5/2

                                                                          2a          2(1)

The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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the real solutions of the equation 8x^2 + 6x - 9 = 0 are x = 3/4 and x = -3/2.

To find the real solutions of the equation 8x^2 + 6x - 9 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 8

b = 6

c = -9

Plugging these values into the quadratic formula, we get:

x = (-6 ± √(6^2 - 4(8)(-9))) / (2(8))

x = (-6 ± √(36 + 288)) / 16

x = (-6 ± √324) / 16

x = (-6 ± 18) / 16

This simplifies to two possible solutions:

x₁ = (-6 + 18) / 16 = 12/16 = 3/4

x₂ = (-6 - 18) / 16 = -24/16 = -3/2

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Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

Answer:

Agree.

Step-by-step explanation:

1. (5^r)^t can be represented simply as 5^rt.

2. when r as negative integer, t as positive integer, rt is always a negative integer

3. when ever the indices rt is negative, the number 5^rt will be less than 1, thus cannot be a whole number for sure.

The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

⇒ radius = 10 inches

⇒ circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

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Answer:

in order for me to make the graph, can you slide down one so i can take a ss and upload it

Answer:

well there none thing to solve but it will be 9 inches i think

so  i think its 9 inches and it takes 4 hours of it to burn

Answer:

The 28 bananas weigh 7 pounds

Step-by-step explanation:

We can start by figuring out the price per banana by dividing the total price by the number of bananas:

Price per banana = $3 / 7 bananas

Price per banana = $0.43 per banana (rounded to the nearest cent)

Next, we can use the price per banana to find the cost of 28 bananas:

Cost of 28 bananas = 28 bananas x $0.43 per banana

Cost of 28 bananas = $12.04

Therefore, Luke pays $12.04 for 28 bananas.

To find the weight of 28 bananas, we can use the fact that seven bananas weigh 1 3/4 pounds:

Weight of one banana = 1 3/4 pounds / 7 bananas

Weight of one banana = 1/4 pound per banana

Then we can multiply the weight of one banana by 28 to find the total weight of 28 bananas:

Weight of 28 bananas = 1/4 pound per banana x 28 bananas

Weight of 28 bananas = 7 pounds

Therefore, the 28 bananas weigh 7 pounds.

Answer:

La afirmación es falsa, no todos los divisores de 100 son divisores de 50, ya que solo se toman en cuenta sus divisores comunes, los cuales son todos los divisores de 50. Expresamos a 100 en sus factores primos: 100 = 2 · 2 · 5 · 5 = 2² · 5² Divisores de 100: {1, 2, 4, 5, 10, 20, 25, 50, 100}

Step-by-step explanation:

The given confidence level is 95%. Thus, the level of significance is 5%. Now, let us determine the z-value for a level of significance of 5%. For a two-tailed test, the level of significance is divided between the two tails. So, the tail area is 2.5% or 0.025.

Using the normal distribution table, the z-value corresponding .Then the 95% confidence interval is calculated as below : Lower limit, Upper limit, So, the 95% confidence interval for the mean rupture stress is Given that the desired amplitude is the same as that in part (a), we need to determine the required sample size for a 99% confidence interval.

The level of significance for a 99% confidence interval is 1% or 0.01. Since it is a two-tailed test, the tail area is 0.5% or 0.005. Then the z-value corresponding to Using the formula for the margin of error, we can write:Margin of error = z(σ/√n)where n is the sample size. Substituting these values in the formula, Rounding off to the nearest whole number, we get n = 71. Therefore, the sample size should be 71 to obtain a 99% confidence interval with an amplitude equal to that in part (a).

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Answer:

i don't now

Step-by-step explanation:

Sorry I couldn't help you

The given equations are as follows

\(\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}\)

(1) First, multiply both sides of equation A by 4, we have

\(4\times\left(\frac{x}{4} +1\right)=4\times(-3)\)

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

\(4\times\frac{x}{4}+4\times1=4(-3)\)

\(\Rightarrow x+4=-12\)

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.