Find the probabilities that the length of a 1 The length of a petal on a certain flower varies from 1 44 cm to 4 84 cm and has a probability density function defined by f(x)* 288 randomly selected petal will be as follows a. Greater than or equal to 18 cm b. Less than or equal to 16 cm a. The probability that the length of a randomly selected petal is greater than or equal to 18 cm is 0.9351 (Round to four decimal places as needed) THIC ICHY VI a pcLai VII a LCI LAH HUVYCI VOICS HUIS 1.74 LITW 1.04 Unanu randomly selected petal will be as follows. a. Greater than or equal to 1.8 cm b. Less than or equal to 1.6 cm c. Between 1.6 cm and 1.8 cm

Answer:

(b) $17.94

(c) $23.85

Step-by-step explanation:

First, let us find the new price. A percent, divided by 100, can become a decimal:

6 x .15 = .9

6 + .9 = $6.90

(b) $6.90 x 2.6 = $17.94

    ^ price    ^ pounds

(c)

New price: $6.90 x 3.5 = $44.85

Old price: $6 x 3.5 = $21

New - old: $44.85 - $21 = $23.85

(if you need a, mutiply 6 by 2.6 for an answer of $15.60)

Hope this helps, have a nice day :D

b. 6 + 6 × 0.15 = 6 + 0.9 = 6.90

2.6 × 6.90 = 17.94

Explanation:

Find the new price using the formula retail price = original price + markup. Then find the total cost of buing 2.6 pounds at the new price.

c. 3.5 × 6 = 21

3.5 × 6.90 = 24.15

24.15 - 21 = 3.15

Explanation:

Find the total cost at each price and then subtract.

Answer:

25 Kilograms

Step-by-step explanation:

A boy weighs 55 lb how much does he way in kilograms if 1 kilogram is 2.2 lb.

From the above question:

2.2 lb = 1 kilogram

55 lb = x Kilograms

Cross Multiply

2.2 lb × x Kilograms = 55lb × 1 kilogram

x Kilograms = 55lb × 1 kilogram/2.2 lb

x Kilograms = 25 kilograms

The boy of 55 lb weighs 25 Kilograms.

Given parameters:

Capital  = 8000

Interest accrued = 600

Duration or time  = 3yrs

Unknown:

Interest rate = ?

To solve this problem, we use the simple interest formula.

Interest is the return on an investment.

Capital is starting amount

Duration is the time length of an investment.

Simple interest formula is given as:

     SI = \(\frac{PRT}{100}\)  

Where SI is the simple interest

            P is the principal

            R is the interest rate

             T is the time

The unknown here is the  interest rate;

             PRT  = 100SI

 Now input the parameters and solve for R;

           8000 x R x 3  = 100 x 600

             24000R = 60000

                         R = \(\frac{60000}{24000}\)   = 2.5%

The interest rate is 2.5%

Answer:

2/3

Step-by-step explanation:

irdk

Answer:

The population is 34,000. The sample is 2,000

Step-by-step explanation:

Population in statistics can be explained as the group or set of all elements which are of particular interest to a researcher or a study. In the scenario above, the research interest concerns customers who pay with a debit card, whose number amounts to 34,000, this value refers to the population. The sample is referred to as the subset of the population or larger sample, the sample from the study corresponds to number of debit card users who were selected at random to participate in the survey. This value is 2000.

a)The first five terms of the sequence are 2, 4, 6, 8, 10.b)The sequence {a_n} is bounded above by 2.

To find the first five terms of the sequence {a_n}, we can use the recursive formula given: a_1 = 2 and a_n+1 = 2 + a_n for n = 1, 2, 3, ...

(a) The first five terms of the sequence {a_n} are as follows:

a_1 = 2

a_2 = 2 + a_1 = 2 + 2 = 4

a_3 = 2 + a_2 = 2 + 4 = 6

a_4 = 2 + a_3 = 2 + 6 = 8

a_5 = 2 + a_4 = 2 + 8 = 10

Therefore, the first five terms of the sequence are 2, 4, 6, 8, 10.

(b) Now, let's prove that the sequence {a_n} is bounded above by 2 using the Principle of Mathematical Induction.

Step 1: Base case

For n = 1, we have a_1 = 2, which is less than or equal to 2. So, the base case holds.

Step 2: Inductive hypothesis

Assume that for some k ≥ 1, a_k ≤ 2.

Step 3: Inductive step

We need to show that a_k+1 ≤ 2.

Using the recursive formula, we have a_k+1 = 2 + a_k.

Since we assumed a_k ≤ 2, we can add 2 to both sides of the inequality:

a_k + 2 ≤ 2 + 2

a_k + 2 ≤ 4

Substituting the value of a_k+1 from the recursive formula, we have:

a_k+1 ≤ 4

Therefore, if a_k ≤ 2, then a_k+1 ≤ 4.

Step 4: Conclusion

By the Principle of Mathematical Induction, we can conclude that a_n ≤ 2 for all n ∈ N.

Hence, the sequence {a_n} is bounded above by 2.

In summary, we have shown that the sequence {a_n} is bounded above by 2 by using mathematical induction. We verified the base case and then assumed the inequality holds for some k and proved it for k+1. This ensures that the inequality holds for all natural numbers.

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Answer:

the first

Step-by-step explanation:

it just is. Be smarter.

The mean absolute deviation of the data set 10, 8, 10, 6, 6, 2, 10, 4 is 2.5.  

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have data:

10, 8, 10, 6, 6, 2, 10, 4

We know the mean absolute deviation formula:

\(\rm MAD = \dfrac{\sum (x_i-X)}{n}\)

X is the mean:

X = (10+8+10+6+6+2+10+4)/9

X = 56/8 = 7

MAD = 20/8 = 2.5

Thus, the mean absolute deviation of the data set 10, 8, 10, 6, 6, 2, 10, 4 is 2.5.

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These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Answer:

$25,377.11 or

$25,759.92

Step-by-step explanation:

hope that helps

Answer:

Step-by-step explanation:

4 4/5 is the same as (4 x 5) +4

4x5=20

20+4=24

24/5

Answer:

Points B, C, and D are on line n

Step-by-step explanation:

Answer:

лттьло. ьнеь е екбюедку к е. еккд

a) 58^-8 is the same as 1/58^8. we can also simplify the expression by applying the rule for negative exponents to the entire fraction.

To evaluate this expression, we can use the rule that any number raised to a negative exponent is equal to the reciprocal of the same number raised to the same positive exponent. In other words, x^-n = 1/x^n.

Applying this rule to the expression 1/58^8, we get:

1/58^8 = 1/(58^8) = 58^-8

Therefore, the correct answer is 58^-8.

It is important to note that the exponentiation operator (^) has higher precedence than the division operator (/), so we need to use parentheses to indicate that the exponent should be applied to the entire denominator before the division is performed. In this case, we can also simplify the expression by applying the rule for negative exponents to the entire fraction:

1/58^8 = (1/58)^8 = 58^-8

This simplification shows that the correct answer is still 58^-8.

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When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Step-by-step explanation:

-20 < -5k-15 < 5       divide everything by 5

-4 < -k -3 < 1             add three to all of the terms

-1 < -k < 4                 Multiply everything by -1  

                            NOTE: this reverses the < symbols

   1 > k > -4          Done.

Answer:

+_6

Step-by-step explanation:

let the possible values be x.

x÷4=9÷x

from that you will get x^2=36

introduce a square root to both sides and the answer is +_6

Using basic mathematical operations such as addition and subtraction, the beaker now has 5.2 ml of liquid.

Basic mathematical operations include addition, subtraction, multiplication, and division.

Addition is combining two or more values to come up with a total or sum. On the other hand, subtraction, the opposite of addition, is removing a value from another resulting to their difference.

If a scientist measures 4.62 ml of a chemical into a beaker, then takes out 0.67 ml of the chemical, and finally adds 1.25 ml of water into the beaker, subtracting the amount of chemical taken out from the initial amount of chemical and adding the amount of water, we can solve how much liquid is in the beaker.

4.62 ml - 0.67 ml + 1.25 ml = 5.2 ml

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Answer:

a

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

No, (12, 3, 12, 4, 19) is not a 5-permutation.

A permutation is a sequence of numbers or objects in which the order matters. In order for a sequence to be a valid permutation, each element must be unique and must not repeat. In the sequence (12, 3, 12, 4, 19), 12 is repeated, so it is not a valid permutation.

A permutation can also be thought of as an arrangement of objects in which the order of the objects matters. In a 5-permutation, there would be 5 unique objects arranged in a specific order.

Since (12, 3, 12, 4, 19) contains a repeated number, it does not represent a valid 5-permutation. In order for it to be a valid 5-permutation, each number in the sequence must be unique.

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The transformed function is:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

Here we have the function:

f(x) = x² + x

Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.

First, the translation is written as:

g(x) = f(x + 4)

Now the shink will give:

g(x) = f( 3*(x + 4))

Replacing the actual function we will get:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

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one number is x

the other one is y=x+5 (Because is five more than the first one)

so the equation will be

x+y=285

x+(x+5)=285

First, we sum like terms

2x+5=285

then we isolate the x

2x=285-5

2x=280

x=280/2

x=140

therefore, one number is 140 and the other number is 145.

y=140+5=145

y=145

Answer:

E

Step-by-step explanation:

NO

Answer:

Step-by-step explanation:

w  = -3 and 21/25

The value of w in 7/60=5/24w+11/12 is 6/5.

Given,

7/60 = 5/24 w + 11/12

We need to solve for w.

It depends on the type of equation given.

We need to keep the variable that we are solving for in one side and simplify the other terms.

Find the value of w.

We have,

7/60 = 5/24 w + 11/12

Subtract 11/12 on both sides.

7/60 - 11/12 = 5/24 w + 11/12 - 11/12

7/6 - 11/12 = 5/24 w

Simplify the left-hand side into a fraction.

(14 - 11 ) / 12 = 5 / 24 w

3 / 12 = 5 / 24 w

Multiply 24 / 5 on both sides.

24/5 x 3/12 = 24/5 x 5/24 w

6 / 5 = w

w = 6 / 5

Thus the value of w in 7/60=5/24w+11/12  is 6/5.

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Answer:

Correct options are B) and C)

Step-by-step explanation:

The given equation is 2x+y=10.

Clearly, x=3 and y=4 satisfy this equation.

Therefore , x=3 and y=4 is one of the solution of given equation.

• so we know the final number is 6 so lets look at the rest of the question:

• Let unknown number = y

• so ( y-2 ), so twice the difference of a number 2 is 6 will be expressed as follows :

2(y-2) = 6

Answer:

nosabo pana i need points brr

Answer:

Hey there!

The x-intercept is (6,0) meaning that if no children attend, 6 adults will attend.

The y-intercept is (0,14) meaning that if no adults attend, 14 children will attend.

Let me know if this helps :)

The x-intercept is (6,0) and y-intercept is (0,14).

x-intercept for "any curve is the value of x-coordinate at the point where the graph cuts the x-axis".

What is y-intercept?

y-intercept  for "any any curve is the value of y-coordinate at the point where the graph cuts the y-axis".

According to the question,

3.5x + 1.5y =21

Let 'x' is the number of adults and 'y' is the number of children.

To find  x-intercept put y=0.

3.5x + 1.5(0) = 21

             3.5x = 21

                  x = 21/3.5 =6.

To find y-intercept put x=0

3.5(0) + 1.5(y) = 21  

                  y = 21/1.5 = 14.

x-intercept (6,0) if no children attend the play then 6 adult attend the play. y - intercept (0,14) if no adult attend the play then 14 children attend the play.

Hence, The x-intercept is (6,0) and y-intercept is (0,14).

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