Caculate the simple interest earned on $5000 at 5% for 3.5 years

The test for breast cancer is not effective at identifying women who have breast cancer.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

It is given that, out of 2000 women, 16 are known to have breast cancer.

But, through the test, the women who do not have breast cancer are also testing positive and the women who have breast cancer are also testing negative.

So, the test for breast cancer is not effective at identifying women who have breast cancer.

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Answer:

c = s - (8×18)

Step-by-step explanation:

S = 8×18+6 = 150

c = s - (8×18)

The answer to the following algebra is;

b² at b = 4 is 16

y /5 at y = 15 is 3

27/s at s = 9 is 3

q/3 + 4 at q = 3 is 5

Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Given the following:

b² at b = 4

substitute b = 4

= 4²

= 4 × 4

= 16

y /5 at y = 15

substitute y = 15

= 15/5

= 3

27/s at s = 9

substitute s = 9

= 27/9

= 3

q/3 + 4 at q = 3

substitute q = 3

= 3/3 + 4

= 1 + 4

= 5

In conclusion, the algebraic expression is solved by substituting the value of the variables.

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Answer: $1.25.

Step-by-step explanation: The unit price of the oatmeal is calculated by dividing the total cost by the weight of the carton. In this case, the unit price is $6.25 / 5 pounds = $1.25 per pound. This means that for every pound of oatmeal, the cost is $1.25.

Answer:

dang he beat me to it

Step-by-step explanation:

6.25/5 is 1.25 per pound

Answer:

The two equivalent ratios of 4:5 are 8:10 and 12:15.

Step-by-step explanation:

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a)The 7-year growth factor for the amount on the loan is $4285.71 b)  7-year percentage change for the amount is 6.25% c) 1-year growth factor for the amount $612.244 and d) 1-year percent change for the amount is 0.894%.

a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or

Growth factor=(Final loan amount-Initial loan amount)/Total time

=>Growth factor=(78,000-48,000)/7

=>Growth factor=30,000/7=$4285.71

b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or

 percentage change=((78000-48000)/48000)×100

=>percentage change=[(30000)/48000)]×100

=>percentage change=300/48=6.25%

c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it

=>In 7 years growth factor is=$4285.71

  ∴In 1 years growth factor is=$4285.71/7=$612.244

d)In 7 years percentage change for the given amount is =6.25%

∴In 1 year percentage change for the given amount=6.25/7=0.894%

Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%

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According to the given statement the function representing the points relation is f(x) = 32(3x - 1)

An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.

Depicts a few points within the graph of the linear function f given a table.

x = -2, 1, 5, 10

f(x) = -224, 64, 448, 928

From option first,

f(x) = 32(3x - 1)

Put x = -2

= 32(-2x3-1)

= 32x(-7) = -224

Consequently, f(x) = 32 is the function used to express the points connection (3x - 1)

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The matrix that represents this information is

| 29  9   16 |

| 13  22   4 |

Matrices (singular matrix) are rectangular arrays or tables where numbers or elements are arranged in rows and columns

Given that:

For the month of June, they rented out 29 cars, 9 trucks, and 16 SUVs to individuals. They also rented out 13 cars, 22 trucks, and 4 SUVs

A defined above, matrices can be viewed as a table. Thus, we can write:

Cars    Trucks   SUVs

29          9           16

13          22           4

In matrice form:

| 29  9   16 |

| 13  22   4 |

Therefore, the matrix that represents this information is

| 29  9   16 |

| 13  22   4 |

Option D. is the answer

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The answer's are A and D!

Let me know if I'm right please!

The probability that a student will take no more than 40 minutes to complete tee examination is 0.00.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.

We have to find the probability that a student will take no more than 40 minutes to complete the examination.

As the time required to complete the statistics examination is uniformly distributed and varies between 40 and 60 minutes so no any student will take less than 40 minutes to complete the examination.

P(X ≤ 40) = 0   where 40 ≤ x ≤ 60

Hence, the probability that a student will take no more than 40 minutes to complete tee examination is 0.00.

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1) Probability that Exactly 2 have used their phones to access the Internet is; P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is; P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is; P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is; P(X ≤ 5) = 0.99862

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

P(X = x) = binomial probability

x = number of times for a specific outcome within n trials

nCx = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

1) We are given;

p = 15% = 0.15

n = 10

Thus;

P(X = 2) = 10C2 * 0.15^(2) * (1 - 0.15)^(10 - 2)

P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is;

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is;

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is;

P(X ≤ 5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = 0.99862

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Answer:

SO... y=3x+0b

Or... y = -3x+0b

Step-by-step explanation:

The number of ways the letters of the word DANCER can be arranged if D and A remain together is 120 ways .

In the question ,

it is given that the word is DANGER ,

the number of letters in the given word is = 6

it is given that the letters D and A are together ,

that means they are a single unit ,

So , the number of letters become = 5 letters

and  5 letters can be arranged in 5! ways ,

which can be simplified  as

5! [tex]=[/tex] 5 * 4 * 3 * 2 * 1 [tex]=[/tex] 120 ways

Therefore , the number of ways of arrangement is 120 ways .

The given question is incomplete , the complete question is

How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit ?

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If the mean of the five values is equals to 64 then the sum of x values i.e., ∑x is 320.

Arithmetic mean:

Arithmetic mean is simply called mean or average. To calculate the arithmetic mean of a set of values, we need to add all the values and then divide the sum by the number of values in the set.

X-bar = ( a₁ + a₂ + -----+ aₙ )/n

Here, there are n items in the set, and each item is represented by one of the a's.

We have given that,

Mean of 5 values , X-bar = 64 , n = 5

we have to calculate the sum of x i.e ∑x

Using Arithmetic mean formula,

sum of x , ∑x = X-bar × n , where x is five values

so, ∑x = 64 × 5 = 320

Hence, the sum of x values is 320.

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Answer:

Step-by-step explanation:

if you do 65.12 * 15% you will get 9.768

subtract that from 65.12 you will get 55.352

round that to the nearest hundredth it is 55.35

The triangle has lengths of 59 feet, 66 feet, and 79 feet.

Let us represent the length of the shortest side of the triangle with x feet, and that of the other shorter side with y feet

The longest side will be (2x - 39) feet

The length of the other shorter side will give us the equation;

y + x = 2x - 39 + 46

so that by subtracting x from both sides, we have

y = 2x - x + 46 - 39

y = (x + 7) feet

From the question,

x + x + 7 + 2x - 39 = 204 feet {which is the perimeter of the triangle}

4x - 32 = 204 {collect like terms}

4x = 203 + 32

4x = 236

x = 236/4

x = 59 feet

Therefore, as the length of the shortest side of the triangle is 48 feet,

the other shorter side is;

y = 59 + 7

y = 66 feet

and the longest side is;

2(59) - 39

118 - 39

79 feet.

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The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by [tex]e^x[/tex], is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

[tex]p(t) = 7te^{-\frac{t}{10}}[/tex]

percentage of infected people a maximum when p '(t) = 0

                    [tex]p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10[/tex]

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    [tex]p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%[/tex]

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

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Answer:

The coefficient of -2 and -3 is -6.

The arrangements are there with no pair of consecutive letters the same is ∑ₐⁿ(−1)^k2^k(2n−k)!C(n,k).

Given 2n letters, two of every one of n types. What number of courses of action of these letters are there without any sets of sequential letters something similar? Kindly look at my answer and let me know where my mix-up is!

So such plans where the sets of indistinguishable letters are discernible. Then, at that point, ∑ₐⁿ(−1)^k2^k(2n−k)!C(n,k) gives the quantity of such plans by incorporation avoidance (there are (2n−k)! ways for k given matches to be together (by combining the those sets into single components) and the rest randomly requested, 2k ways of requesting inside those given matches, and C(n,k) ways of picking those k pairs).So we can acquire the recipe

∑ₐⁿ(−1)^k2^k(2n−k)!C(n,k)

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Answer: 5:17

Step-by-step explanation: Add both ratios together to get the complete amount of days.

Answer:

5:17

the rainy days amount is 5 and the total amount of days is 17 (12+5) so 5:17

1) The system of equations to solve the given problem are:

2l-3=3b

2(l+ b)=48

2) The variables l and w stands for length and width, respectively.

3) Length l=15 and Width w=9

4) The graph of the solution is shown below:

A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or a one-dimensional length.

The perimeter calculation has various practical uses. A calculated perimeter is the length of fencing required to encircle a yard or garden. The circumference of a wheel/circle specifies how far it will roll in one revolution. Similarly, the amount of string coiled around a spool is proportional to the spool's perimeter; if the length of the string were precise, it would equal the perimeter.

1) The system of equations to solve the given problem are:

2l-3=3b

2(l+ b)=48

2) Here the variables are l, w

The variables l and w stands for length and width, respectively.

3) Given, perimeter of the triangle=48 inches

2l-3=3b

l=(3(b+1))/2

So, 2(l+ b)=48

3b+3+2b=48

5b=45

b=9

l=(3(10))/2

l=15

Therefore, length l=15 and width w=9

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Answer:answer will be more exact than the point you found in the first part

Step-by-step explanation:temperature in degrees Fahrenheit,

degrees Celsius

20

40

60

80 100 120 140 160 180 200 220 240

degrees Fahrenheit

a. Mark the point on the graph that shows the temperature in Celsius when it is 60

degrees Fahrenheit

b. Mark the point on the graph that shows the temperature in Fahrenheit when it

is 60 degrees Celsius.

c. Water boils at 100 degrees Celsius. Use the graph to approximate the boiling

temperature in Fahrenheit, or to confirm it, if you knew what it is.

d. The equation that converts Celsius to Fahrenheit is C = (F - 32). Use it to

calculate the temperature in Celsius when it is 60 degrees Fahrenheit. (This

answer will be more exact than the point you found in the first part

The equation in slope-intercept form is found as; y = -x/2 + 5/2.

For the stated question.

Two point are-

(x1, y1) = (3,1)

(x2, y2) = (1,2)

Thus,

slope m = (y2 -y1)/(x2 - x1)

m = (2 - 1)/(1 - 3)

m = -1/2

Equation of line;

y - y1 = m(x - x1)

y - 1 = (-1/2)(x - 3)

y = -x/2 + 5/2

Thus, the equation in slope-intercept form is found as; y = -x/2 + 5/2.

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The equation of the circle with endpoints of a diameter at the points (3, 8) and (-5, 6) is x² + y² + 2x - 14y + 33 = 0.

These are the specified parameters:

Endpoints of a diameter at the points (3, 8) and (-5, 6).

Determine the center point of the circle (a, b).

(a, b) = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

        = ((3 + (-5))/2 , (8 + 6)/2)

        = (-2/2 , 14/2)

        = (-1, 7)

The center point is (-1, 7).

Determine the radius of the circle (r).

[tex]\begin{aligned} r & = \frac{1}{2} \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\r & = \frac{1}{2} \sqrt{(-5-3)^2 + (6-8)^2} \\ r& = \frac{1}{2} \sqrt{(-8)^2 + (-2)^2} \\ r& = \frac{1}{2} \sqrt{64 + 4} \\ r & = \frac{1}{2} \sqrt{68} \end{aligned}[/tex]

Determine of the equation of the circle

(x - a)² + (y - b)² = r²

(x - (-1))² + (y - 7)² = (1/2 √68)²

x² + 2x + 1 + y² - 14y + 49 = 1/4 × 68

x² + y² + 2x - 14y + 50 = 17

x² + y² + 2x - 14y + 50 - 17 = 0

x² + y² + 2x - 14y + 33 = 0

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Answer: You can watch 14 vines.

Step-by-step explanation: 1 2/5 is equal to 1 4/10

1 4/10 is equal to 14/10

So the amount of vines you could watch is 14 in 1 minute and 24 seconds.

Answer:As hours spent studying increases, grades on the college algebra final exam increase.

Step-by-step explanation: