Jacob answered 80% of the questions in a test correctly.
He answered 32 of the questions correctly.
Work out the total number of questions in the test.​

Answer: 890

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

f(2)=4(2)+2

f(2)=10

g(3)=2(3)-2

g(3)=6-2

g(3)=4

10+4=14

Answer:

17

Step-by-step explanation:

f(x) = 4x + 2

g(x) = x² - 2

f(2) = 4(2) + 2 = 10

g(3) = 3² - 2 = 7

10 + 7 = 17

Step-by-step explanation:

The question is wrong. The correct equation is :

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex]

We know that the equation gives the relation  between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

[tex]0=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=32[/tex]

And for C = 100 :

[tex]100=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=212[/tex]

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by [tex]F=71[/tex] and find the value of C ⇒

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒

[tex]C=(\frac{5}{9})(71)-\frac{160}{9}[/tex]

[tex]C=\frac{65}{3}[/tex] ≅ 21.67

C(71) = 21.67 °C

a. Yes, C is a function of F.

b. Domain of the function is: ( - ∞ , + ∞)

c. Range of function C is: (0, 100)

the domain of function C is: (32, 212).

d. [tex]\mathbf{C(71) = 21.67^{\circ}C}[/tex]

The domain of a function is the input value, while the range is the corresponding output value.

a. Given the equation of the function as, [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex], this means that, the value of C is dependent on the value of F, therefore, the answer is, Yes, C is a function of F.

b. Since no mathematical restriction was stated, therefore:

Domain of the function is: ( - ∞ , + ∞)

c. Temperature of water in its liquid state ranges between 0 and 100°C, therefore:

Range of function C is: (0, 100)

To find the domain, substitute C = 0 and C = 100, respectively, into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]0 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 32[/tex]

[tex]100 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 212[/tex]

Therefore, the domain of function C is: (32, 212).

d. To find C when F = 71°, substitute F = 71° into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]C(71) = \frac{5}{9}(71) - \frac{160}{9}\\\\C(71) = \frac{65}{3} \\\\\mathbf{C(71) = 21.67^{\circ}C}[/tex]

Learn more about domain and range of function on:

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Answer:

For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

About 1/5 of all adults in the United States have type O blood.

p = 0.2

q = 1 - p = 1 - 0.2 = 0.8

a. All four are type O. The probability will be

P = p⁴  

P = 0.2⁴

P = 0.0016

b. None of them is type O. The probability will be

P = q⁴  

P = 0.8⁴

P = 0.4096

c. Two out of the four are type O. The probability will be

P = p² × q²  

P = 0.2² × 0.8²

P = 0.04 × 0.64

P = 0.0256

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

The statement provided is False.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

The statement provided is:

"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."

Thus, the statement provided is False.

Answer: Yes

Step-by-step explanation: by SAS

Answer:

Step-by-step explanation:

ASA postulate of congruence.

Answer:

The answer is c

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Just divide it in the future!! :)

Answer:

$0.24

Step-by-step explanation:

There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce

Answer:4 and 9 are the numbers

Step-by-step explanation:

Answer:

4 and 9

Step-by-step explanation:

Factors of 36 are:

(1x36), (2x18), (3x12), (4x9), (6x6)

The ones with a difference of 5 are 4 and 9, and so therefore they are your answers.

Answer:

B

Step-by-step explanation:

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

To know more about equations follow

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#SPJ2

Answer:

ITS C:D pls give brainliest

Step-by-step explanation:

add all it equals C, 16.25

Answer:

8:24

Step-by-step explanation:

Just multiply 4*2 and 12*2

Hope it helps

Answer:

8:24, 24: 72, 16:48

Step-by-step explanation:

There's a lot just multiply them by the same number

Answer:

Solution

 =  25/24

Step-by-step explanation:

hope that helps :)

Answer:

x = -3/8

Step-by-step explanation:

Answer:

20ft²

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 5W .......equation 1

2L + 2W = 24 ........equation 2

To find the width

Substituting equation 1 into equation 2, we have;

2(5W) + 2W = 24

10W + 2W = 24

12W = 24

W = 24/12

Width, W = 2 ft

To find the length;

Substituting the value of "W" into equation 1, we have;

L = 5W

L = 5*2

L = 10 ft

To find the area of the rectangle;

Area = LW

Area = 10*2

Area = 20 ft²

Therefore, the deck's area is 20 feet square.

Answer:

4 11/40 hope this helps :)

Step-by-step explanation:

Answer:

4 11/40

Step-by-step explanation:

I had this question

Answers:

1. Adding decimals is very similar to adding whole numbers.

2. Line up the number vertically so that all the decimal points are aligned.

3. Add extra zeros to the right of he number so that each number has the same number of digits the right of the decimal point.

4. Place the decimal point of the result in line with the other decimal points.

I hope this helped you. If it is please click the thanks button. Thank You, Bye! ;-D

1. Adding decimals is very similar to adding whole numbers.

2. Line up the number vertically so that all the decimal points are aligned.

3. Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal point.

4. Place the decimal point of the result in line with the other decimal points.

While adding two decimals.

Learn more about decimal form here:

https://brainly.com/question/358789?referrer=searchResults

Learn more about decimal addition here:

https://brainly.com/question/13611222?referrer=searchResults

Answer:

7.5 hours

Step-by-step explanation:

1/5 in 1 hour and 1/3 in one hour

1/3-1/5 is 2/15

backwards is 15/2

7.5 hours

Hope this helps plz hit the crown ;D

Answer:

pretty sure its 2

Step-by-step explanation:

ignore the messing hand writing but I think this is why

I think

Step-by-step explanation:

12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4

Answer:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

Step-by-step explanation:

To justify the solution paths of linear equations.

[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)

Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.

Therefore, [tex]3x-6+5x=26[/tex]

Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.

Therefore, [tex]8x-6=26[/tex]

Here, we add 6 to both sides.

[tex]8x=32[/tex]

Now, divide the both sides with 8.

[tex]x=4[/tex]

Therefore, the answer is:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

Answer:

5 3/4 > 6 1/4

Step-by-step explanation:

Answer:

4 lbs

Step-by-step explanation:

1:4=4:16

16 is bigger than 14

So 4 lbs