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jolli1 [7]
2 years ago
7

Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 time

s as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is?
Mathematics
1 answer:
Fed [463]2 years ago
7 0

The equation used for finding the length of Harold's bridge will be 3H-7M=0 Length will be H = 1/√2

<h3>What is an equation?</h3>

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is

 1(1/2)=3/2

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}M=0\\\\\\3H-\dfrac{7\times 3}{2}=0\\\\\\H=\dfrac{1}{\sqrt{2}}

The equation used for finding the length of Harold's bridge will be 3G-7M=0 Length will be H = 1/√2

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Based on a​ survey, assume that 43​% of consumers are comfortable having drones deliver their purchases. Suppose we want to find
svlad2 [7]

Answer:

The probability of getting two consumers comfortable with drones is 0.3424.

Step-by-step explanation:

The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.

A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.

To compute the probability of getting two consumers comfortable with drones followed by three consumers not​ comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.

This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.

So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.

Compute the probability of getting two consumers comfortable with drones as follows:

P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...

P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}

               =10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424

Thus, the probability of getting two consumers comfortable with drones is 0.3424.

4 0
3 years ago
The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
3 years ago
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jeka57 [31]
If you would like to solve the inequality <span>–1 + 6 * (–1 – 3x) > –39 – 2x, you can do this using the following steps:

</span>–1 + 6 * (–1 – 3x) > –39 – 2x
-1 - 6 - 18x > -39 - 2x
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32 > 16x
32/16 > x
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The correct result would be x < 2.
5 0
3 years ago
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Answer:

The number of innings Brantley pitched is 7.

Step-by-step explanation:

We are given that the table shows the number of innings pitched by each of the Greenbury Goblins' starting pitchers during the Rockbottom Tournament below;

         Pitcher                           Number of innings pitched

          Calvin                                            11

          Thom                                             12

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            Kris                                               3

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Let the number of innings Brantley pitched be 'x'.

The mean of the following data set is given by the following formula;

          Mean = \frac{\text{Sum of all data values}}{\text{Total number of observations}}

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                 40 = 33+x

                  x = 40 - 33 = 7

Hence, the number of innings Brantley pitched is 7.

8 0
3 years ago
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Monica [59]

Answer:

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Step-by-step explanation:

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Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.

8 0
3 years ago
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