-5/4 times a number +6 is less than 12

Answer:

Step-by-step explanation:

3. A single sticky note is a three-dimensional object. Meaning it has a length, width and height. Therefore, it is taking up space, and anything that takes up space has a volume. If the sticky not did not have a volume then it would not be a three-dimensional object.

4. Yes, if we knew the volume of a single sticky note, then we would simply have to multiply the volume of that individual note by the total number of sticky notes in the pile. This would give us the volume of the entire pile.

Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.

Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.

The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.

The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.

The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.

Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.

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Given that, one of the angles of the parallelogram is 66 degrees.

In a parallelogram, the opposite angles are equal.

Similarly, the other two angles are 3v and 3v.

The sum of the four angles of the parallelogram is 360 degrees.

Subtracting 132 from both sides, we get

Dividing both sides by 6, we get

Hence the value of v is 38 degrees.

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer: infinitely many

Step-by-step explanation:

Just rearrange the second equation:

a(y - x + 6) = 0

y - x + 6 = 0

y - x = -6

x - y = 6

You have two equations that are identical. The number of (x,y) pairs satisfying "both" equations is just the number of pairs satisfying the first one. (Think about it, satisfying one is satisfying both.)

There are infinitely many (x,y) pairs satisfying x - y = 6, so answer is "infinitely many solutions."

Suppose that quiz scores in a beginning statistics class have a mean of 7.1 with a standard deviation of 0.4, the range in which at least 75% of the data will reside is from 6.3 to 7.9.

Chebyshev's Theorem is a statistical tool that provides a range for how much data is likely to fall within a certain number of standard deviations from the mean.

Specifically, it tells us that, for any set of data, no matter how it is distributed, at least 1 - (1/k^2) of the data will fall within k standard deviations from the mean, where k is any positive number greater than 1.

In this case, we want to find the range in which at least 75% of the data will reside. We can use Chebyshev's Theorem to determine the minimum value of k that will give us this range. We know that at least 75% of the data should fall within two standard deviations from the mean, so we can set k = 2.

Using Chebyshev's Theorem, we can say that at least 1 - (1/2^2) = 75% of the data will fall within 2 standard deviations from the mean. The standard deviation is 0.4, so two standard deviations would be 2 * 0.4 = 0.8.

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The area of the trapezoid is \(\frac{1}{2}(b1+b2)*h\)

Therefore the area is:

   \(\frac{1}{2}*(3+5)*9 =\frac{1}{2}*(8)*9=4*9=36km^2\)

Area: 36 square kilometers

Hope that helps!

Answer: 72:16

Explanation:

Answer:

a) r(t) = (10, 5, -5) + (5, 5, 0)*t

b) (0, -5, -5)

Step-by-step explanation:

a) 2x + 4 -2y -5 = -3z -6

2x - 2y +3z +5 =0

(10, 5, -5)

(15, 10, -5)

(5, 5, 0)

r = (10, 5, -5) + (5, 5, 0)*t

b) The yz plane is given by the equation x = 0.

x = 0  in the vector equation of a straight line if and only if  t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.

Answer:

12.25 or 12 1/4

Step-by-step explanation:

Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.

So, 7 days, the bird would eat, 1.75*7 days.

1.75*7=12.25

Answer:

12.25 or 12 1/4

Step-by-step explanation:

Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.

So, 7 days, the bird would eat, 1.75*7 days.

1.75*7=12.25

Answer:

42°

Step-by-step explanation:

A right-angled triangle can formed in this scenario (image attached), where:

θ = angle of elevation of the sun

Opposite side = The height of the tower

Adjacent side = Length of the shadow

Trigonometric function will be used to determine the angle of elevation:

tanθ = \(\frac{opposite}{adjacent}\)

        \(= \frac{118 feet}{130 feet}\)

feet in the numerator and denominator will cancel each other out completely:

θ =\(tan^{-1} (\frac{118}{130})\)

 θ = 42.23°

∴ θ = 42° (Rounded to the nearest degree)

The functions that have end behavior lim x -> ∞ f(x) = -∞ is

y= x, y= x³ and y= 1/ (1+ \(e^{-x\)).

Here the function obey the rule as

lim x -> ∞ f(x) = -∞

So, the function

f(x) = y

lim x -> ∞ y = -∞

First, y= x

x = - ∞

y =  = - ∞ which is True

Second, y= x³

x - > -∞

y= (-∞)³ = -∞

y = -∞ which is True

Third, y= 1/ (1+ \(e^{-x\))

x - > -∞

y = -∞ which is True

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Step-by-step explanation:

Expanded notation may be defined as the way of expressing a number by exhibiting its value of each of the digit.

In an expanded notation, the number is always represented as a summation of each of the digit times its place value, while in the expanded form, an addition is used between the place value numbers.

A number containing zero can be written in the expanded form as for example,

509,300

Since digit 5 is 100,000th place, 9 is in 1,000th place and the digit 3 is 100th place, the number can be written as --

5 x 100,000 + 9 x 1,000 + 3 x 100

A) The probability that you will join them is 0.523;

B)  If you end up joining them, the probability your friends have decided to visit a national park is 0.50.

Note that probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

In the above case, Note that to determine the probability that you will join them, we need to use the formula for conditional probability, which is:

P(A and B) = P(A|B) * P(B)

In this case, A is the event that you join them, and B is the event of your friends deciding to visit either a national park or a city in the USA.

Given the above, we have:

P(join and national park) = P(join|national park) * P(national park) = 0.75 * 0.35

P(join and city) = P(join|city) * P(city) = 0.40 * 0.65

Thus to obtain the probability that you will join them: we must add the two probabilities: P(join and national park) and P(join and city)

⇒ P(join) = P(join and national park) + P(join and city)

= 0.75 * 0.35 + 0.40 * 0.65

= 0.523

Thus, it is correct to state that the probability or likelihood that you join them is: 0.523

B) If you decide to join them, the probability that your friends have decided to go to a national park is determined using the Bayes Theorem.  This theorem is given as:

P(B|A) = P(A|B) * P(B) / P(A)

Where A is the event of you going with them, and B is the event of your friends deciding to go to a national park.

P(national park|join) = P(join|national park) * P(national park) / P(join)

= 0.75 * 0.35 / 0.525

= 0.5019120459
\(\approx\) 0.50

Thus, it is correct to state that the probability your friends have decided to visit a national park is 0.57 if you eventually join them.

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The graph of f(x) = x(x+5)(x+3) / (x+3)(x+5) bears resemblance to the line y=x since both plots share similar linear characteristics.

Both the numerator and denominator of f(x) = x(x+5)(x+3) / (x+3)(x+5) cancel out the factors (x+3) and (x+5), giving us a simplified expression for the function, f(x) = x.

A line with a slope of 1 passes through the origin in an upward direction. When we examine the graph of y=x, which is a straight line passing through the origin with a slope of 1, it becomes apparent that adding 1 to x also adds 1 to y.

Since the simplified expression is merely f(x) = x, we can deduce that the graph of this function follows a linear path passing through the origin with a slope of 1.

In conclusion, the graph of f(x) = x(x+5)(x+3) / (x+3)(x+5) bears resemblance to the line y=x since both plots share similar linear characteristics.

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The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

(A)

Null hypothesis: Newspaper circulation in the city per day was = 15,000 in 2010

(B)

Alternative hypothesis: Newspaper circulation in the city today is > 15,000

(C)

Type 1 Error: This is the rejection of a true null hypothesis. It is the acceptance of the alternative hypothesis when the null hypothesis is true.

(D)

Type 2 Error: This is the non-rejection of a false null hypothesis. It is the acceptance of a null hypothesis when it is false.

Step-by-step explanation:

In statistical theory, the complete absence of any of these errors is virtually impossible.

Here, m∠GHI=72° and m∠LMN=108°. Therefore, option B is the correct answer.

Given that, m∠GHI=6x° and m∠LMN=9x°.

We need to find the measure of each angle.

Supplementary angles are thus a set of angles that complete each other to form 180°. Supplementary angles are those angles that sum up to 180°.

Now, 6x°+9x°=180°

⇒15x°=180°

⇒x°=12°

Thus, m∠GHI=6×12°=72° and m∠LMN=9×12°=108°.

Therefore, option B is the correct answer.

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Step-by-step explanation:

12p = £0.12

to answer how many elastic bands are in the bag we need to find out how often £0.12 fits into £6.

and that we do by division :

6 ÷ 0.12 = 50

so, there are 50 elastic bands in the bag.

if you cannot use a calculator, this is how you solve this by hand relatively easily :

6 / 0.12 = 6 / 12/100 = 6 × 100/12 = 1 × 100/2 = 50

Answer:

8=$16

Step-by-step explanation:

6=$12

divide both sides by 6

1=$2

so one pound equals $2 so if 6 pounds equals $12 just add 2 pounds to 6 to make it 8 pounds. you added two pounds so that means you have to add $4 to the total witch will give you

8=$16

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

----------------------

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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The probability that the 4 samples contain at least 3 yellow apples is 52.5%.

Probability refers to the ratio or measure of the likelihood of an event occurring given many possible outcomes.

Probability is depicted in decimals, fractions, or percentages.

The number of red apples in the basket = 6

The number of yellow apples in the basket = 14

Total number of apples in the basket = 20

The probability of a yellow apple = 0.70 (14/20)

Sample size = 4 apples

The number of at least yellow apples = 3

The probability of yellow apples picked in the sample = 0.75 (3/4)

The probability that the 4 samples contain at least 3 yellow apples = 0.525 (0.70 x 0.75)

= 52.5%

Thus, the probability is 52.5%.

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The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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Answer:

Step-by-step explanation:

i )

the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.

probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464

probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A

= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60

= .256 + .032 + .072

= .36

probability that oil will be discovered by three companies.

= .40 x .60 x .20 = .048

Total probability = .464 + .36 + .048 = .872

ii )

Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A

+ Probability by A , B and C .

= .20 x .6 x .4 + .20 x .40 x .40 +  .20 x .60 x .60 + .40 x .60 x .20

= .048 + .032 + .072 + .048

= .20

If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872

= .23

The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:

1)

2)

Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

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Answer:

a

Step-by-step explanation:

if im right, the answer would be in the question :) its asking for the probability of a senior who plays a sport, and the third sentence is "the probability that a student is a senior and plays a sport is 0.08". sorry if im wrong!

Answer:

Let's start by finding the speed of the dog:

Dog's speed = 2 * Cat's speed

Dog's speed = 2x mph

To find how far away they will be after 30 minutes, we need to first find the distance each one travels in that time.

Distance = Speed * Time

Cat's distance = x * 0.5 = 0.5x miles

(30 minutes = 0.5 hours)

Dog's distance = 2x * 0.5 = x miles

Now we can find the total distance between them:

Total distance = Cat's distance + Dog's distance

Total distance = 0.5x + x

Total distance = 1.5x miles

So after 30 minutes, the cat and dog will be 1.5x miles away from each other.

Answer:

1.5x

Step-by-step explanation:

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

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