A university bookstore ordered 86 shipments of notebooks. There were 84 notebooks in each shipment. How many notebooks did the bookstore order in all?

To find the probability that the first ticket drawn is a 1, we need to consider the total number of tickets and the number of 1s in the box.

There are a total of 8 tickets in the box. Among them, there are 3 tickets with a value of 1.

When the first ticket is drawn, there are 8 possible outcomes. Out of these, 3 outcomes will result in drawing a ticket with a value of 1 (as there are 3 tickets with a value of 1).

Therefore, the probability of drawing a 1 as the first ticket is 3/8 or 0.375. This means that there is a 37.5% chance of drawing a 1 as the first ticket.

The probability is calculated by dividing the number of favorable outcomes (drawing a 1) by the total number of possible outcomes (drawing any ticket from the box).

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Kate can see across the horizon by 3.33 times further than Paul.

The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.

The volume of the cone \(\mathbf{ V=\pi r \dfrac{h }{3}}\)

For Kate:

\(\mathbf{ V=\pi r \dfrac{h }{3}}\)

\(\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}\)

V = 2.12526863 × 10¹⁵ m³

For Paul

\(\mathbf{ V=\pi r \dfrac{h }{3}}\)

\(\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}\)

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= Volume of Kate/Volume of Paul

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

Learn more about Plane shapes here:

https://brainly.com/question/4504103

#SPJ1

Answer:

128 miles

Step-by-step explanation:

320/5=x/2   640=5x    x=128

The slope of the line that is represented by the given data in the question is 3/4.

To find the slope of a line, we need to use the formula:

slope = (change in y) / (change in x)

We can choose any two points on the line and use their coordinates to calculate the change in y and the change in x. Let's choose the points (-9, 4) and (7, 16) from the given data.

Change in y = 16 - 4 = 12

Change in x = 7 - (-9) = 16

Plugging these values into the slope formula, we get:

slope = 12 / 16 = 3 / 4

We can also interpret this slope as the rate of change of y with respect to x. For every increase of 1 in x, y increases by 3/4. Similarly, for every decrease of 1 in x, y decreases by 3/4.

To learn more about slope click on,

https://brainly.com/question/30522284

#SPJ1

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

12xy+14x

Step-by-step explanation:

12xy+14x

Hope this helps :3

Answer:

12xy + 14x

Step-by-step explanation:

I believer this is correct

Answer:

5^-4

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

The difference between the x/(x²+3x+2) - 1/[(x+2)(x+1)] then the correct option is D (x-1)/(x²+3x+2).

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.

For example, if it is asked to increase some item by 4, then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

x/(x²+3x+2) - 1/[(x+2)(x+1)]

x² + 3x + 2 = x² + 2x + x + 2

= x(x + 2) + (x + 2)

= (x + 2)(x + 1)

= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]

= (x-1)/[(x+2)(x+1)]

= (x-1)/(x²+3x+2)

Thus, the correct option is D (x-1)/(x²+3x+2).

Learn more about expression;

https://brainly.com/question/15401055

#SPJ1

1. Factor out the greatest common factor (GCF) from the coefficients.

2. Split the middle coefficient into two factors that add to the middle coefficient and multiply to the last coefficient.

1. First, identify the GCF of the coefficients, which is 1. Since there is no GCF, this step can be skipped.

2. Next, split the middle coefficient (17) into two factors that add to the middle coefficient and multiply to the last coefficient.

Since 17 = 8 + 9, we can use 8 and 9 as our two factors.

3. Group the terms by the common factors.

We can group the first and last term together (6x2 + 5) and the middle term separately (17x).

4. Factor out the common factor, which is x, from the first and last group. This gives us x(6x + 5).

5. Lastly, factor the remaining quadratic expression (6x + 5).

Since 8 and 9 are the two numbers that add to the middle coefficient and multiply to the last coefficient, we can use them as our two factors. This gives us (6x + 8)(x + 9).

Therefore, the factored form of 6x2 + 17x + 5 is x(6x + 8)(x + 9).

To learn more about coefficient refer :

https://brainly.com/question/28975079

#SPJ4

The solution to the equation p - 21 = 52 is p = 73.

To solve for p, we want to isolate the variable on one side of the equation.

We can do this by performing the same operation on both sides of the equation.

In this case, we add 21 to both sides, resulting in p - 21 + 21 = 52 + 21.

Simplifying further, we have p = 73.

Therefore, the solution to the equation is p = 73.

This means that when p is substituted with 73 in the equation, it satisfies the given equation and makes it true. Solving linear equations involves manipulating the equation using arithmetic operations to isolate the variable.

To learn more about solving linear equations, refer here:

https://brainly.com/question/30403771#

#SPJ11

Answer:

y=2x+1/2 or its y=2x+2

Step-by-step explanation:

Y intercept is when the line intercepts with the y axis, the straight line. In this case it is 4, so b=4

Slope is choosing two imaginary points and appyling the y2-y1/x2-x1 formula in this case is 5/2

Y=5/2x+4

The given data can be used to test the hypothesis that the proportion of preterm births among twins has increased from 1990 to 2000 and the conclusion is that the proportion of preterm births among twins has increased from 1990 to 2000.

Using a two-proportion z-test, with the null hypothesis that the proportions are equal, we find that the test statistic is approximately 1.89, with a p-value of 0.029. This suggests that there is evidence to reject the null hypothesis at the 5% significance level, and conclude that the proportion of preterm births among twins has increased from 1990 to 2000.

However, it's important to note that this conclusion is based on the assumption that the two samples are independent and representative of the population of interest. Other factors, such as changes in the population or hospital policies, may have also contributed to the observed increase in preterm births among twins.

To know more on two-proportion z-test

https://brainly.com/question/30762753

#SPJ4

Answer:

the third one?????????

Step-by-step explanation:

Answer:

285.7 \(ft^{2}\)

Step-by-step explanation:

The formula to find the lateral area of a cone is,  

I hope this helps:)

9514 1404 393

Answer:

  f^-1(x) = -2(x +5)

Step-by-step explanation:

Solve for x.

  y +5 = -1/2x . . . . . add 5

  -2(y +5) = x . . . . . multiply by -2

If you want this in "functional form", you can write it as ...

  f^-1(x) = -2(x +5) . . . . . swap x and y, then use f^-1(x) for y

Solution :

Let, income and saving of Adam is 9x and 3y.

Similarly income and saving of Rosy is 7x and y.

We know,

Income = Saving + Expense

Now, it is given that their expense is same and it is ₹12000  per month.

For Adam, 9x = 3y + 12000   ...1)

3x = y + 4000

For Rosy, 7x = y + 12000

21x = 3y + 36000   ...2)

Subtracting 1) from equation 2), we get :

12x = 24000

x = ₹2000

Therefore, monthly incomes of Adam and Rosy is ₹18000 and ₹14000 respectively.

Answer:

\(x=3\)

Step-by-step explanation:

Add like terms and get x by itself.

\(2x-3+4x=21\\6x-3=21\\6x=18\\x=3\)

Answer:

The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.

Answer:

a = 9

Step-by-step explanation:

\(\frac{4}{12}\) = \(\frac{a}{27}\) ( cross- multiply )

12a = 108 ( divide both sides by 12 )

a = 9

Answer:

x= 0.4

Step-by-step explanation:

x^2 = 4/25 (0.16)

x = 0.4                        Square root both sides

Answer:

Step-by-step explanation:

If the multiplication of two numbers has the zero at the end, one of them will have a factor of 2 and the other number will have the factor of 5.

Example: Multiplication of 25 and 8.

                Factors of 25 = 5 × 5 [5 is a factor of 25]

                Factors of 8 = 2 × 2 × 2 [2 is a factor of 8]

Multiplication of 8 × 25 = 200 [Zero at the end]

Two numbers are 459 and 885.

Factors of 459 = 3 × 3 × 3 × 17

Factors of 885 = 3 × 5 × 59

[Since, 2 is not a factor in both the numbers multiplication of the numbers will not have 0 at the end]

459 × 885 = 406215

Answer:

6 hours

Step-by-step explanation:

\(\frac{1}{6}\) of Total battery life = \(\frac{1}{6} * 3600 = 600\)milliamps

Assuming the battery takes 100 Milliamps per hour,

Time = Battery Capacity / Current hours

Time = 600 / 100 Mah = 6H

Answer:

x=0

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

3(2x−5)=−15

Step 1: Simplify both sides of the equation.

3(2x−5)=−15

(3)(2x)+(3)(−5)=−15(Distribute)

6x+−15=−15

6x−15=−15

Step 2: Add 15 to both sides.

6x−15+15=−15+15

6x=0

Step 3: Divide both sides by 6.

6x/6 = 0/6

x=0

Hope this helps :)

Answer:

2x-5= -3x times(x) 3 is -9

Step-by-step explanation:

PEMDAS

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

y = 7

Step-by-step explanation:

3x = 5x - 8

8 = 2x

x = 4

3x = 5 + y

3(4) = 5 + y

12 = 5 + y

7 = y

#teamtrees #WAP (Water And Plant)

Answer:

7

Step-by-step explanation:

As all sides are equal,

3x=5x-8

2x=8

x=4

5+y=3x

5+y=3*4

5+y=12

y=12-5

y=7

It will take approximately 8.84 years for the car's value to be $5000.

We can use the formula for exponential decay to find the time it takes for the car's value to reach $5000:

V = V0 * \(e^{(-rt)\)

where V is the current value, V0 is the initial value, r is the decay rate, and t is the time in years. We can rearrange this formula to solve for t:

t = -ln(V/V0) / r

Plugging in the given values, we get:

t = -ln(5000/17000) / (-0.17) = 8.84 years (rounded to two decimal places)

Therefore, it will take approximately 8.84 years for the car's value to be $5000.

Learn more about exponential Decay:

https://brainly.com/question/24077767

#SPJ4

Answer:

16x - 9

Step-by-step explanation:

2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis

= 6x² + 10x - 6x² + 6x - 9 ← collect like terms

= 16x - 9

Answer:

16X-9

Step-by-step explanation:

(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)

6x²+10x+6x²+6x +-9

combine like terms

6x² +10x +-6x² +6x+-9

(6x² +6x² )+(10x+6x)+(-9)

16x+-9

16x-9

Answer:

Step-by-step explanation:

To determine if an observation is an outlier, we need to compute its z-score and see how far it deviates from the mean in terms of standard deviations.

The formula for z-score is:

z = (x - μ) / σ

where x is the observation, μ is the mean, and σ is the standard deviation.

For option (a), the observation is 150, so the z-score is:

z = (150 - 100) / 10 = 5

For option (b), the observation is 100, so the z-score is:

z = (100 - 100) / 10 = 0

For option (c), the observation is 90, so the z-score is:

z = (90 - 100) / 10 = -1

An observation is considered an outlier if its z-score is greater than 3 or less than -3.

Therefore, the only observation that might be an outlier is option (a) with a z-score of 5. The other two options have z-scores within the range of -3 to 3 and are not considered outliers.

So the answer is (a) 150.

know more about outlier: brainly.com/question/26958242

#SPJ11