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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

83050

Step-by-step explanation:

that's the answer to the question

Answer:

The answer would be that there are more bananas than pears

Step-by-step explanation:

Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500

And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.

Answer:

70.68 inch is the volume of the rectangular prism

Step-by-step explanation:

V = w × h × l

V = 3.8 inch × 3 inch × 6.2 inch

V = 70.68 inch is the volume of the rectangular prism

To check:

70.68 ÷ 3.8 ÷ 6.2 = 3 inch (height)

70.68 ÷ 6.2 ÷ 3 = 3.8 inch (width)

70.68 ÷ 3.8 ÷ 3 = 6.2 inch (length)

The interquartile range of the heights is of 17, which represents the middle 50% of heights of the trees.

For this data-set, we have that:

Then the IQR is:

IQR = 31 - 14 = 17.

The interquartile range is of 17, which represents the middle 50% of heights of the trees.

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Answer:

spread

median

14

middle 50%

question likh kar bhej dijiye

Answer:

True

Step-by-step explanation:

We should use simple units while doing any type of calculation, using simple units make it easy for other people to kn ow the calculation, on the contrary if we use complex units then it will make the calculation more complicated thereby increasing the chances of mistake.

Answer: 360

Step-by-step explanation:

310 + 50 = 360

Answer:

1710

Step-by-step explanation:

310 x 3 = 930

260 x 3 = 780

930 + 780 = 1710

Answer:

Step-by-step explanation:

Answer:

The solution to the equation is \(x = 8\)

Step-by-step explanation:

To solve the equation, first we apply the distributive property on the parenthesis, then we isolate x.

Solution:

\(3(10 - x) = 6\)

Applying the distributive:

\(3*10 - 3*x = 6\)

\(30 - 3x = 6\)

Solving for x

\(3x = 30 - 6\)

\(3x = 24\)

\(x = \frac{24}{3}\)

\(x = 8\)

The solution to the equation is \(x = 8\)

Sure! The general term of a sequence is a formula which describes the nth term of the sequence. In this case, the pattern is that each term is increased by 3 when compared to the previous term. This pattern can be expressed as a formula - an=a1+(n-1)d, where a1 is the first term, n is the term number and d is the common difference.

For the sequence given -2,1,4,7

a1=-2

n=4

d=3

Substituting these values in the formula will give us the general term of the sequence an = -2 + 3(n-1)

Hence, the general term of the sequence -2,1,4,7 is an = -2 + 3(n-1).

Observe the abscicca and ordinates

*Note that:- y-coordinate is ordinate and x-coordinate is abscicca.

Observe the graph and mark the point where function meets y-axis

*Note that:- The point of the graph where the function meets y-axis is called y-intercept.

\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)

Thus, Option C is the correct choice!!~

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

X=11 trust me on my mom

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

Anna is correct because the probability of getting a five or a one is 1/9 compared to Sam's which is 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The probability of rolling a one and a five

= 1/ 5 x 1/9

= 1/ 36

The probability of rolling a one or a five

= 1/ 9

Hence, Anna is correct because the probability of getting a five or a one is 1/9 compared to Sam's which is 1/36.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 center is  0.275

 \(SE = 0.063\)

b

 center is  0.275

 \(SE = 0.020\)

Step-by-step explanation:

considering question a

From the question we are told that

   The sample size is  n  =  50

 The proportion of  US adults are college graduates is  p = 0.275

Generally the center is equivalent to the proportion so the center is  0.275

Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 50} }\)

=>   \(SE = 0.063\)

considering question b

    The sample size is  n  =  500

      The proportion of  US adults are college graduates is  p = 0.275

     Generally the center is equivalent to the proportion so the center is  0.275

     Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 500} }\)

=>   \(SE = 0.020\)

In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.

A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.

In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:

= [p × (1 - p)]/n

= [0.275 × (1 - 0.275)]/50

= 0.0039875

= ✓0.0039875

= 0.063

Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.

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The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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Answer:

Step-by-step explanation:

12=666

Step-by-step explanation:

100% = $27.50

1% = 100%/100 = $27.50/100 = $0.275

the extra amount paid (for the tip) was

$32.45 - $27.50 = $4.95

to know how many percent that is, we need to see how often 1% fits into that amount.

so,

4.95 / 0.275 = 18

therefore the tip was 18%.

FYI - in real life the tip percentage (and corresponding amount) is calculated based on the net bill (the amount before sales tax).

Answer:

x = 1, y = 60 or (1, 60)

Step-by-step explanation:

Given the quadratic function, f(x) = -60x² + 120x, which models a reverse bungee jump. If we graph this given quadratic function, then it will show a downward-facing parabola whose vertex is the maximum point on the graph.

We can determine the maximum height of the given quadratic function by using the formula to find the x-coordinate of the vertex:

\(\displaystyle\mathsf{x\:=\frac{-b}{2a}}\)

From the given quadratic function: f(x) = -60x² + 120x, where a = -60, b = 120, and c = 0:

Substitute the given values for a and b into the formula for finding the x-coordinate value of the vertex:

\(\displaystyle\mathsf{x\:=\frac{-b}{2a}\:=\:\frac{-120}{2(-60)}\:=\frac{-120}{-120}\:=1}\)

Now that we have the value for the x-coordinate of the vertex, x = 1, substitute this value into the given quadratic function to find its corresponding y-coordinate:

f(x) = -60x² + 120x

f( 1 ) = -60( 1 )² + 120( 1 )

f( 1 ) = -60 + 120

f( 1 ) = 60

Thus, the y-coordinate of the vertex is f(x) = 60.

Therefore, the maximum height of the reverse bungee jump is x = 1, y = 60 or (1, 60).  

Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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p + 12 is the resulting expression using commutative law of addition.

Linear expression are expression that has a leading degree of 1.

Given the expression below

4 + (8 + p)

Using the commutative law of addition A + B = B + A, we will have:

4 + (8 + p) = (8 + p) + 4

= (4 + 8) + p

= 12 + p

Applying the commutative law, we will have

12 + p = p + 12

Hence the resulting expression using the commutative law of addition is p + 12

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Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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