Can someone please help me Write the ordered pair for each
letter on the graph

Answer:

The probability plot of this distribution shows that it is approximately normally distributed..

Check explanation for the reasons.

Step-by-step explanation:

The complete question is attached to this solution provided.

From the cumulative probability plot for this question, we can see that the plot is almost linear with no points outside the band (the fat pencil test).

The cumulative probability plot for a normal distribution isn't normally linear. It's usually fairly S shaped. But, when the probability plot satisfies the fat pencil test, we can conclude that the distribution is approximately linear. This is the first proof that this distribution is approximately normal.

Also, the p-value for the plot was obtained to be 0.541.

For this question, we are trying to check the notmality of the distribution, hence, the null hypothesis would be that the distribution is normal and the alternative hypothesis would be that the distribution isn't normal.

The interpretation of p-valies is that

When the p-value is greater than the significance level, we fail to reject the null hypothesis (normal hypothesis) and but if the p-value is less than the significance level, we reject the null hypothesis (normal hypothesis).

For this distribution,

p-value = 0.541

Significance level = 0.05 (Evident from the plot)

Hence,

p-value > significance level

So, we fail to reject the null or normality hypothesis. Hence, we can conclude that this distribution is approximately normal.

Hope this Helps!!!

The geometric sequence is:

\(\boxed{15,9,\frac{27}{5},\frac{81}{25}, \frac{243}{125} }\)

A geometric sequence, or geometric progression, is a sequence of numbers where each successive number is the product of the previous number and some constant  \(\text{r}\).

Now,

We need to find the 2nd, 3rd and 4th term of the geometric sequence. To find these terms, we need to know the common difference. The common difference can be determined using the formula,

Where \(\text{a}_1=15\) and \(\text{a}_5=\frac{243}{125}\)

For \(\text{n}=5\), we have,

\(\dfrac{243}{125}=15(\text{r})^4\)

Simplifying, we have,

\(\sf r= \dfrac{3}{5}\)

Thus, the common difference is \(\sf r= \frac{3}{5}\)

Now, we shall find the 2nd, 3rd and 4th terms by substituting \(\sf n=2,3,4\) in the formula \(\text{a}_{\text{n}}=\text{a}_1(\text{r})^{\text{n}-1}\)

For \(\sf n=2\)

\(\text{a}_2=15\huge \text(\dfrac{3}{5}\huge \text)^1\)

   \(=\bold{{9}}\)

Thus, the 2nd term of the sequence is 9

For \(\sf n=3\), we have,

\(\text{a}_3=15\huge \text(\dfrac{3}{5}\huge \text)^2\)

\(=15\huge \text(\dfrac{9}{25}\huge \text)\)

\(\bold{=\dfrac{27}{5}}\)

Thus, the 3rd term of the sequence is \(\bold{{\frac{27}{5}}}}\)

For \(\sf n=4\), we have,

\(\text{a}_4=15\huge \text(\dfrac{3}{5}\huge \text)^3\)

\(=15\huge \text(\dfrac{27}{25}\huge \text)\)

\(\bold{=\dfrac{81}{25}}\)

Thus, the 4th term of the sequence is \(\bold{\frac{81}{25}}\)

Therefore, the geometric sequence is:

\(\boxed{\bold{15,9,\frac{27}{5},\frac{81}{25}, \frac{243}{125}}}\)

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Answer:

[ D ] 140

Step-by-step explanation

4 x 265 = 1060

1060 - 1200 = -140

the answer is 140  i hope this helped <3

The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

2 + Y

Step-by-step explanation:

Two more than Y would be adding 2 to y, therefore adding 2 to y.

2 + Y

Answer

We have, 6% × x = 24 or, 6 100 × x = 24

Step-by-step explanation:

Multiplying both sides by 100 and dividing both sides by 6,

Answer:

24 % of that number is 4

Step-by-step explanation:

First solution:

If 6% of a number is 1, then 1% is 1/6 which is a repeating decimal, so we can just take it as 1/6. Then, to find 24% of that number we would have to do 1/6 x 24 which is equal to 24/6. 6 can evenly divide 24 which is 4.

Second solution:

We can see that since 24 is evenly divided by 6, to find 24%, we can multiply 1 by 4 because 6% x 4 = 24%

Therefore, 24% of that number is 4.

Answer:

(-1, 1) ∪ (3, ∞)

Step-by-step explanation:

Given inequality:

\(x^3-3x^2-x+3 > 0\)

Solve the inequality as though it were an equation.

\(\implies x^3-3x^2-x+3=0\)

Factor the equation.

If the coefficients in a polynomial add up to 0, then (x - 1) is a factor.

\(\implies (x-1)(x^2-2x-3)=0\)

\(\implies(x-1)(x+1)(x-3)=0\)

\(\implies x-1=0 \implies x=1\)

\(\implies x+1=0 \implies x=-1\)

\(\implies x-3=0 \implies x=3\)

The real solutions to the equation are the boundary points for the solution to the inequality.

Make the boundary points open circles as the original inequality does not include equality.

Four regions have been created:

Select points from the different regions and test to see if they satisfy the original inequality:

\(x=-2 \implies (-2)^3-3(-2)^2-(-2)+3=-15 < 0\)

\(x=0 \implies (0)^3-3(0)^2-(0)+3=3 > 0\)

\(x=2 \implies (2)^3-3(2)^2-(2)+3=-3 < 0\)

\(x=4 \implies (4)^3-3(4)^2-(4)+3=15 > 0\)

Since x = -2 does not satisfy the original inequality, the region x < -1 is not part of the solution.

Since x = 0 does satisfy the original inequality, the region -1 < x < 1 is part of the solution.

Since x = 2 does not satisfy the original inequality, the region 1 < x < 3 is not part of the solution.

Since x = 4 does satisfy the original inequality, the region x > 3 is part of the solution.

Therefore, the solution in interval notation is:

To graph the solution set:

Answer:

The required probability is \(\dfrac{13}{50}\)

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle \(\times\) Probability of selecting a lemon bottle out of water bottles.

Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle \(\times\) Probability of selecting a lemon bottle out of tea bottles.

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Probability of selecting a water bottle:

\(\dfrac{30}{50} = \dfrac{3}{5}\)

Probability of selecting a lemon flavored bottle from water bottle:

\(\dfrac{8}{30}\)

Probability of selecting a lemon flavored water bottle = P(A)

\(\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}\)

Probability of selecting a tea bottle:

\(\dfrac{20}{50} = \dfrac{2}{5}\)

Probability of selecting a lemon flavored bottle from tea bottle:

\(\dfrac{5}{20} = \dfrac{1}{4}\)

Probability of selecting a lemon flavored tea bottle = P(B)

\(\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}\)

The required probability is:

P(A) + P(B):

\(\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}\)

Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

Explanation:

10% of $8500 = 0.10*8500 = 850

For the first $8500 she made, she pays $850 in tax.

The remaining amount over 8500 is then taxed at 15%

30,000 - 8,500 = 21,500

So the remaining $21,500 she earned is taxed at the higher bracket of 15%

15% of 21500 = 0.15*21500 = 3225

She has to pay an additional $3225 in tax.

The total tax bill comes to 850+3225 = 4075 dollars

This is an effective rate of 4075/30000 = 0.1358 = 13.58% roughly.

For this problem we know that the perimeter of a triangle is given by the sum of the sides and we can set up the following equation:

9.8 + 10.9 + x = 27.1

And the best answer would be:

X + 9.8 + 10.9 = 27.1

Answer:

6 first box. 12 second box. 21 third box. 10 fourth box. 4 fifth box.

Step-by-step explanation:

Look for common denominaters, that will show you what to multiply the equation by to get rid of fractions.

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

21

Step-by-step explanation:

15-15=0

17-(-4)=21

sqrt(0^2+21^2)=21

this is someone else's answer from a question just like this one (Makanzi)

Since there was five boxes of crayons and there was 3 crayons in each one, the would be 15 in total. (crayons) And there was three people, 15/3=5 crayons per person.

Equation: 3x=15

x stands for the amount of crayons each person gets.

Answer:

12520

Step-by-step explanation:

Firstly , we need to find 25²

25 × 25 = 625

Then let us multiply before we add on ,

20 × 25² = 20 × 625 = 12500

12500 + 20 = 12520

And this is the final answer.

Question

20 + 20 × 25²

Answer:

Step by step explanation:

=20 + 20 × 25²

=20 + 20 × (25 × 25)

=20 + 20 × 625

=20 + 12.500

=12.520

results of 12.500 is 12.520

I hope this helps

Answer:

y = -2, 1, 4, 7 (in order)

Step-by-step explanation:

Plug in the value of x into the equation to find y.

For example for -1, plug in x as -1 into the equation.

y = 3(x) +1

y = 3(-1) + 1

y = -2

Similarly plug in the x to find the rest of the values for y.

Answer:

f(1·2)

Step-by-step explanation:

Subbing x=1 (f(1)) into the original function f(x)=a^x will give f(1)=a^1 which is simply equal to a. Therefore, if we were to do [f(1)]^2, we would just get a^2 because f(1) is equivalent to a. Out of the choice.s present, only f(1·2) is equal to a^2, because a^(1·2)=a^2

The length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.

Based on the question given, the width (W) is the length (L) minus 3 units, which can be expressed as:

W = L - 3

The formula for the area (A) of a rectangle is:

A = Length × Width

We are given that the area is 28 square units, so:

A = 28

Now, we can substitute the expressions for width (W) and area (A) into the area formula:

28 = L × (L - 3)

Now, we need to solve this quadratic equation for L. First, expand the equation:

28 = L^2 - 3L

Now, rearrange the equation in standard quadratic form

L^2 - 3L - 28 = 0

To solve this quadratic equation, you can factor it:

(L - 7)(L + 4) = 0

Now, set each factor equal to zero and solve for L:

L - 7 = 0

L = 7

L + 4 = 0

L = -4

Since the length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.

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Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Answer:

24

Step-by-step explanation:

For ABCD the three longest are:

60,40,30

60 to 40 is 20

40 to 30 is 10

so each time it's decreasing by 1/2

For EFGH the two shortest are:

6 and 12

12 to 6 is 1/2

Assuming there is a pattern

it logically would be 24

as 12(2)=24

Answer:

14⁻⁵

Step-by-step explanation:

Dividing two exponents with the same base has the effect of subtracting the bottom exponent from the top one. Following that rule, we can simplify our fraction like this:

\(\dfrac{14^{-3}}{14^2}=14^{-3-2}=14^{-5}\)

Answer:

1/14^5

Step-by-step explanation:

14^-3 can be rewritten as 1/14^-3

When doing so you are left with 1/(14^2)(14^3)

Simplify: 1/(14^5) because when multiplying exponents with common bases, you add the exponents.

The way in which the given ordered pairs represent a function is: b. For every x value, there is only one y value - a function.

A function simply refers to a mathematical expression (equation) which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).

In this context, we can reasonably infer and logically deduce that these ordered pairs represent a function because it has different input variables (x-values) for different or the same output variables (y-values).

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Given:

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.

In the given question,

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.

Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.

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Answer:

The length = 120 feet

Step-by-step explanation:

Givens

Let the length  = x

Let the width = 3/4  x

Perimeter = 420 feet

Formula

Perimeter = 2*L + 2*w

Solution

2*x + 2(3/4) x = 420

2x + 1.5x = 420

3.5 x = 420

x = 120

Answer:

22 inches

Step-by-step explanation:

3 feet = 36 inches

36-14=22

The other half is 22 inches long

Answer:

No

Step-by-step explanation:

70 is divisible by 5. 5 is not an even number.

Answer:

No

Step-by-step explanation:

The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.