Four less than the quotient of the number of a number x and 5

Solution

Step 1

The data are positively skewed, the mean will be larger than the median.

Step 2

Median = 70

Final answer

D. 70

Answer:0

Step-by-step explanation:

hey i'm in the six grade i'm not sure but pls try it

Answer:

when (-1, -4) is substituted into the first equation it's true

when (-1, -4) is substituted into the second equation it's true

the ordered pair (-1, -4) is a solution to the systems of equation

Step-by-step explanation:

original equation

x-y=3

multiply both sides by 7

7x-7y = 21

add 7y to both sides

7x=7y + 21

substitute into second equation

(7y+21)-y=-3

simplify

6y+21=-3

subtract 21 from both sides

6y=-24

y=-4

substitute y into original equation

x-(-4) = 3

cancel out negative signs

x+4=3

subtract -4 from both sides

x=-1

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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The value of 113+256 is determined by the above fractional formulae. Is 369

An exact number that shows a percentage of a total is called a fraction. You may figure it out by dividing a sum by the quantity of parts. As an example, the number 12 represents one-half of a whole number or an object. Simple subtraction of the smaller numerator from the larger numerator will yield the solution to the problem. To solve, for instance, 6/8 - 2/8, just take 2 out of the answer. The answer, which can be abbreviated to "4/8," is 12, or 12.

Making a fraction simpler by reducing or simplifying it is our goal. In order to do this, we divide the denominator and numerator by the largest integer that can be divided into both integers precisely. That is to say,

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The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Set up a ratio:

1/50 = x/480

Cross multiply:

50x = 480

Divide both sides by 50:

X = 9.6

The distance on the map is 9.6 cm

Answer:

Step-by-step explanation:

4 1/2 - 2 5/8

4 4/8 - 2 5/8 = 1 and 7/8

i mean i guess you could also do this witho ut sol ving

4 4/8 - 21/8 --> 36/8 - 21/8

i dk it's si mplify not solve so here?

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

Answer:

w=-7/3 and w=-9/5

Step-by-step explanation:

Given: 15w^2+62w+63=0

Factor: (3w+7)(5w+9)=0

Zero Product Property: 3w+7=0 and 5w+9=0

Solve each equation: w=-7/3 and w=-9/5

Let me know if you would like me to explain more.

Answer:

answer

A) 11.7²+X.6²

B) 7²+10² 0²

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

The missing angle RPQ between the intersected chord is 115 degrees.

The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

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The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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Answer:

he needs $1

Step-by-step explanation:

add 4+7+3=14 then your gonna add what he already has which is 9+4= 13 so 14-13=1

The quantity of 45 % salt solution required is 5 ml by forming the equations.

quantity of 20 % of salt solution is = 20 ml

Now, let the quantity of 45 % salt solution be x ml

The mixture that need to be created is 25 % solution.

So, the equation becomes:

45 % (x) + 20 % (20) = 25 % ( 20 + x )

0.45 x + 4 = 5 + 0.25 x

0.45 x - 0.25 x = 5 - 4

0.20 x = 1

1 / 5 x = 1

x = 5

Therefore, we get that, the quantity of 45 % salt solution required is 5 ml by forming the equations.

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The sum of slip is 9 small coffee order, then sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

A hat contains 4 slips of paper labeled as 3,3,6 and 8. One slip is selected randomly and without replacing, another one is selected. The number on the slips are added together.

The probability of getting a sum of 6 (3+3) is,

\(P_(3,3)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(3,3)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(3,3)=\dfrac{2}{12}\\P_(3,3)=\dfrac{1}{6}\)

The probability of getting the sum of 9 (6+3) or (3+6) is,

\(P_(3,6)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,6)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,6)=\dfrac{4}{12}\\P_(3,6)=\dfrac{1}{3}\)

The probability of getting the sum of 9 (6+3) or (3+6) is,

\(P_(3,8)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,8)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,8)=\dfrac{4}{12}\\P_(3,8)=\dfrac{1}{3}\)

The probability of getting a sum of 6 (3+3) is,

\(P_(6,8)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(6,8)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(6,8)=\dfrac{2}{12}\\P_(6,8)=\dfrac{1}{6}\)

There are three size of coffee to order:

Thus, when the sum of slip is 9 small coffee order, if sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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An equation to represent the situation and solve the equation of the number of cans of beans Jason can buy is x = 8.69/0.61 and x = 14.

An equation is a statement in mathematical terms that show that two or more algebraic expressions are equal or equivalent.

Algebraic expressions are formed with variables, constants, values, and numbers, in addition to mathematical operands without the equal sign (=).

The total budget on beans = $8.69

The unit price for a can of beans = $0.61

Let the number of cans of beans = x

x = 8.69/0.61

x = 14.2

x = 14

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The price of a can of beans is $0.61

The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

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Answer:

6\(\sqrt[]{2}\)

Step-by-step explanation:

The base of the triangle is 6.

This is because if the 2 given angles are 90, and 45, then that means that last angle must also be 45 because if you add all the angles of a triangle, it adds to 180.  

To solve for x, also known as c, we do \(a^{2}+b^{2} = c^{2}\).

If, 36 + 36 = 72, Then x is the square root of 72, also known as D:  6\(\sqrt[]{2}\)

(as shown in the picture below)

Hope that helps!

a) Either 3 or 4 questions did Mike answer correctly.

b) Either 7 or 8 questions did Sheila answer correctly.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

a) Let mike did x correct

then, incorrect will be (10- x)

The equation is:

Now, 5x + (10 - x) (-3) = 0

=> 5x - 30 + 3x = 0

=> 8x = 30

=> x = 30/8

=> x > 3 and x < 4

b) Let Sheila did y correct

then, incorrect = (10 - y)

Now, 5y + (10 - y) (-3) = 32

=> 5y - 30 + 3y = 32

=> 8y = 62

=> y > 7 and y< 8

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The given question is incomplete, complete question is:

In a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer.

A blank answer scores (). Mike scored a total of () and he did not leave all of the answers blank. (a) How many questions did Mike answer correctly? _ _ _ _ _ _ _ _ Sheila scored a total of 32. (b) How many questions did Sheila answer correctly?

Answer:

Step-by-step explanation:

Given system:

Divide the first equation by 2 and rearrange:

We got the same equation with the second one. It means we have two of the same lines overlapping.

This gives us infinitely many solutions.

Answer:

yeaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation: