Minnesota fell from 48 degrees to -12 degrees over a 24 hour period. what was the average temperature change per hour?

Since the probability of Cheetah is 0.4

Since the probability of Tiger is 0.7

Since the probability of Cheetah or Tiger or both is 0.5

Let us draw a figure to show this information

Then we need to find both animals (x)

Since

Add x to both sides and subtract 0.5 from both sides

Divide both sides by 2 to find x

a) The probability of both animals is 0.3

Since the total of probability is 1, then to find the neither subtract (0.4 + 0.7 - 0.3) from 1

b) the probability of neither is 0.2

Events A and B are independent if the equation P(A∩B) = P(A) · P(B)

Since

Since P(Ch) . P(T) = 0.4 x 0.7 = 0.28

Then

c) The events are not independent

Let's begin by listing out the information given to us:

We proceed to use the quadratic formula, we have:

Given:

number of people (n) = 12

mean = 39.1

standard deviation = 17.4

99% confidence level

Using the confidence level formula, we can find the estimate of how much a typical parent would spend on their child's birthday:

The z-score at 99% confidence level is 2.576

Substituting, we have:

Hence, a typical parent would spend between $26.161 and $52.039 or :

There are 120 ways to choose the top essays.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 6 essays entered.

And, He has to select the best, second best, and third best.

Now,

Since, There are 6 essays entered.

Hence, The number of ways to choose the top essays = [tex]^{6} P_{3}[/tex]

                                                                                    = 6! / 3!

                                                                                    = 6×5×4

                                                                                    = 120

Thus, The number of ways = 120

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We will determine the earnings for the week as follows:

So, the student earned $288.15 that week.

Answer: divide each term from the original expression (3x3+27x2+9x ) by the GCF (3x), then write it in the parenthesis

Step-by-step explanation:

Answer:

You take it out and place it as a multiple.

Step-by-step explanation:

5x+15

GCF = 5

5(x+3)

Hope that helps

Given:

The number of girls =10 and the total number of students =30.

The percentage of the total amount of girls is

Hence the percentage of the total amount of girls is 33.33 %.

SOLUTION

From the question, the athlete eats 45 g of protein in a day. This means that in 23 days the athlete will eat

Hence the answer is 1 035 g of protein, or 1.035 kg of protein.

Note that: To change grams to kilograms, we divide by 100.

ANSWER:

18 inches by 9 inches by 12 inches

EXPLANATION:

The volume of Tom's rectangular prism-shaped suitcase which measures 9 inches by 9 inches by 24 inches is;

So the volume of Tom's suitcase is 1944 cubic inches

The surface area will be;

So the volume of the suitcase is 1026 square inches

*Let's go ahead and determine the volume and surface area of a suitcase that measures 18 inches by 18 inches by 6 inches;

We can see that the suitcase that measures 18 inches by 18 inches by 6 inches has the same volume as the first one but a higher surface area which doesn't fit Tom's needs

*Let's go ahead and determine the volume of a suitcase that measures 12 inches by 10 inches by 9 inches;

We can see that the suitcase that measures 12 inches by 10 inches by 9 inches has a different volume from the first one which doesn't fit Tom's needs.

Let's go ahead and determine the volume of a suitcase that measures 16 inches by 5 inches by 9 inches;

We can see that the suitcase that measures 16 inches by 5 inches by 9 inches has a different volume from the first one which doesn't fit Tom's needs.

*Let's go ahead and determine the volume and surface area of a suitcase that measures 18 inches by 9 inches by 12 inches;

We can see that the suitcase that measures 18 inches by 9 inches by 12 inches has the same volume as the first one and s smaller surface area which fits Tom's needs

The logarithms as a sum or difference of logarithms, using the power rule if necessary, to expand them.

The approximate value exists [tex]$\log _5 18 \approx 1.80$[/tex].

An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation. Check to verify if you can write both sides of the equation as powers of the same number before attempting to solve an exponential equation.

Write logarithms as a sum or difference of logarithms, using the power rule if necessary, to expand them. Utilizing the quotient rule, product rule, and power rule in that order is frequently beneficial.

The change of base formula can be used.

[tex]$\log _5(18)=\frac{\log 18}{\log 5} \approx \frac{1.25527}{0.69897} \approx 1.7959$$[/tex]

simplifying the above equation, we get

[tex]$\log _5 18 \approx 1.80$[/tex]

Therefore, the correct answer is option B. 1.80.

The complete question is:

Select the correct answer.

What is the approximate value of this logarithmic expression? [tex]$\log _5 18$[/tex]

A. 1.28

B. 1.80

C. 0.56

D. 2.89

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In a parallelogram, the opposite sides are parallel.

This means that RS is parallel to OT. So, the y value of S is the same as the y value of R, which is d, so y = d. Thus:

Now, we need to find x.

Since the sides RO and ST are also parallel, the x distance from O to R is the same as the x distance from T to S.

The x distance from O to R is

The x distance from T to S is

Since these x distances are equal, then:

Then, the coordinates of S are:

Which corresponds to option B.

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The graphical solution for the two systems of equations are as follows:

CONCLUSION:

The solutions to the systems of equations are:

A quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.

Given that, the graph is passing through (2, 0), (10, 0) and (6, -4).

The standard form of a quadratic equation is given as:

ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.

Now, the equation passes through (2, 0)

y = ax² + bx + c

0 = 4a + 2b + c  ----------------(1)

The equation passes through (6, -4)

y = ax² + bx + c

-4= 36a + 6b + c ----------------(2)

The equation passes through (10, 0)

y = ax² + bx + c

0 = 100a + 10b + c ----------------(3)

Using the Gauss elimination method to solve the system of equations we get,

a = 1/4, b = -3, and c = 5

The quadratic equation will be:

y = ax² + bx + c

y = (1/4) x² - 3x + 5

Therefore, a quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.

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Answer:

h(x-1) = - 4x + 7

Explanation:

To find h(x - 1), we need to replace x by (x-1) on h(x). Then:

Therefore, h(x-1) = - 4x + 7

Notice that the graph of the function is a cubic polynomial. Also, the graph is moved one unit upwards, then, the function f(x) is:

now, we can see from the y and x intercepts, that if we evaluate x= 0 and x = 1, we get:

then, applying the inverse function on both sides (we can do this since f(x) is a polynomial function and they always have inverse function), we get the following:

we can see that the first point that is on the graph of the inverse function is (-1,0). Doing the same on the second equation, we get:

thus, the points that lie on the inverse function are (-1,0) and (0,1)

In order to calculate the cost of 7.5 lbs of walnuts, we can use the following rule of three, knowing that 3/4 lbs have a cost of $3.45:

Now, we can write the following proportion and solve for x:

Therefore the cost is $34.50.

The number 96 is equivalent to the 100%. So we can state the following rule of three:

By cross-multiplying these numbers, we have

So, x is given by

Therefore, the answer is 72

f(x) = -16x^2 + 36

Where:

f(x) = height of the object

x = seconds after being dropped.

f(-1) = -16 (-1)^2 + 36

f(-1) = -16 (1) + 36

f(-1) = 20

-1 seconds after the object was dropped, the object was 20 ft above the ground.

This interpretation does not make sense, because seconds can't be negative.

f(0.5) = -16 (0.5)^2 + 36

f(0.5) = -16 (0.25) +36

f(0.5) = -4 + 36

f(0.5) = 32

0.5 seconds after the object was dropped, the object was 32 ft above the ground.

This interpretation makes sense in the context of the problem.

f(2) = -16 (2)^2 + 36

f(2) = -16 (4) +36

f(2) = -64+36

f(2) = -28

2 seconds after the object was dropped, the object was -28 ft above the ground.

This interpretation does not make sense in the context of the problem, because the height can't be negative.

Based on the observation, the domain of the function is real numbers in a <- x <-b , possible values of x where f(x) is true.

before the object is released x=0

next, calculate x when f(x)=0 ( after the object hits the ground)

0= -16x^2+36

16x^2 = 36

x^2 = 36/16

x^2 = 2.25

x = √2.25

x = 1.5

0 ≤ x ≤ 1.5

Juan's bananas cost half ( 1/2) as much as apples.

x= the cost of an apple in dollars

y= the cost of a banana in dollars

Multiply the cost of an apple by 1/2 (half). that expression must be equal to the cost of a banana.

y = 1/2 x (option b)

see the figure below to better understand the problem

In the right triangle ABC

tan(34.5)=h/x -----> by TOA

h=x*tan(34.5) -----> equation 1

In the right triangle ABD

tan(27.8)=h/(100+x) -----> by TOA

h=(100+x)*tan(27.8) -----> equation 2

Equate equation 1 and equation 2

x*tan(34.5)=(100+x)*tan(27.8)

solve for x

x*tan(34.5)=100*tan(27.8)+x*tan(27.8)

x*[tan(34.5)-tan(27.8)]=100*tan(27.8)

x=329.4 ft

Find out the value of h

h=x*tan(34.5)

h=329.4*tan(34.5)

h=226.4 ft

therefore

the answer is

In this problem -3 will be the adyacent side, -4 will be the opposite side and wwe can calculate the hypotenuse so:

So the trigonometric function will be:

Determine the area of the figure.

So answer is 144 yards square.

68.29

If we locate each point (x, y) on the plane we will obtain the following graph:

We can approximate the resulting figure to a straight line:

In order to discover the equation of this line we use a linear regression calculator and enter the values as follows:

The calculator gives as the following equation as an approximation:

ŷ = 0.82X + 7.61

Using this equation we can predict the score of the second test of the exam using the score of the first test.

On this case, we want to make a prediction for a score on the second test if a student scored a 74 on his first test.

This means, we want to find ŷ when X=74. Let's replace it on the equation:

That is why we can say that the student will have 68.29 as his score on the second test.

Answer:

followed

Step-by-step explanation:

now gimmie

The ratio of boys to girls in Mrs. Franco's class is 3:2 .

The Ratio is defined as the comparison of two quantities that have the same units .

In the question ,

it is given that

In Mrs. Franco's class

For every 6 boys there are 4 girls in the class

we have to find the ratio of , boys to girls

the number of boys = 6

the number of girls = 4

So , the ratio can be written as

boys / girls = 6/4

writing the ratio in the simplest form , we get

boys/girls = 3/2

the ratio is 3:2   .

Therefore , The ratio of boys to girls in Mrs. Franco's class is 3:2 .

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If the probability of failing a test is 0.115 if you consider a group of 12 people taking a test on a given day, then the probability that two or more of them will fail the test is 0.41

The probability of failing a test = 0.115

Total number of people = 12

We have to find the probability that two or more of them will fail the test

We know the binomial distribution

P(X≥2) = 1 - P(X<2)

= 1 - P(X=0) - P(X=1)

P(X≥2)= 1 -  [tex](12C_{0}) (0.115^0)(1-0.115)^{12}[/tex] - [tex](12C_{1}) (0.115^1)(1-0.115)^{11}[/tex]

= 0.41

Hence, if the probability of failing a test is 0.115 if you consider a group of 12 people taking a test on a given day, then the probability that two or more of them will fail the test is 0.41

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The opposite of −3 5/8 is on the opposite side of zero on a number line as −3 5/8 . The opposite of 4 2/9 is on the opposite side of zero on a number line as 4 2/9 .

A number line is a type of graph with a graduated straight line which contains both positive and negative numbers that are typically placed at equal intervals along its length.

In Mathematics, opposites simply refers to numbers that are located on opposite sides of zero (0) on any number line. Additionally, opposites generally have the same distance from zero (0) on any given number line.

In conclusion, -3 5/8 is a number that is located on the opposite side of zero (0) on a number line while 4 2/9 is a number that is also located on the opposite side of zero (0) on a number line.

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Complete Question:

Select from the drop-down menus to correctly complete each statement. The opposite of −3 5/8 is on the ______ side of zero on a number line as −3 5/8 . The opposite of 4 2/9 is on the ______ side of zero on a number line as 4 2/9 .

f (x)= x+ 5

f(2)

Reemplaza x por 2 y resuelve

f(2)= 2 + 5 = 7

Mismo procedimiento para los demas valores:

f(1) = 1 + 5 = 6

f(0) = 0 + 5 = 5

f(-1)= -1+5 = 4

f(-2)= -2+5 = 3

f(a)= a + 5

The values of the functions evaluated are:

a. (f + g)(x) = 9x + 1

b. (f + g)(x) = -7x + 1

c. (f * g)(x) = 8x² - 55x - 72

d. (f/g)(x) = (x - 8)/(8x + 9)

To evaluate a function expression, we are to input the given value of x and solve by combining like terms and simplifying to find the value of the given function expression.

Given the functions:

f(x) = x - 8

g(x) = 8x + 9

a. Find (f + g)(x): This implies that we are to add the two functions f(x) and g(x) together.

(f + g)(x) = x - 8 + 8x + 9

(f + g)(x) = 9x + 1

b. Find (f - g)(x): This implies that we are to subtract g(x) from f(x).

(f - g)(x) = x - 8 - 8x + 9

(f + g)(x) = -7x + 1

c. Find (f * g)(x): This implies that we are to multiply the functions, g(x) and f(x) together.

(f * g)(x) = (x - 8) * (8x + 9)

(f * g)(x) = 8x² - 55x - 72

d. Find (f/g)(x): This implies that we are to find the quotient of the functions, f(x) and g(x).

(f/g)(x) = (x - 8)/(8x + 9)

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Using the remainder theorem, we must find P(1) for:

1) Because we want to evaluate P(x) for x = 1, we must compute

2) Now we make the synthetic division by putting a 1 in the division box:

The remainder from the division is:

The quotient of the division is:

3) From the synthetic division we get a remainder R = -1, applying the Remainder Theorem we get that:

Summary

The answers are:

1)

2)

3)