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2 years ago

To celebrate the end of your cycling tour, you enter a fun race at an assault course. It is harder than expected.

Mathematics

1 answer:

Cloud [144]2 years ago

7 0

Answer:

1 out of 4, 3 out of 4

Step-by-step explanation:

Only one person out of four will complete the course. That's 25% of the people who took the course.

That means you have a 1 out of 4 chance to complete the course, and a 3 out of 4 chance to not complete the course.

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The equation y = 0.002x - 0.30 can be used to determine the approximate cost, y in dollars, of producing x items. How many items

ArbitrLikvidat [17]

Answer:

193650

Step-by-step explanation:

Since the cost must be no more than 387$, you can substitute that number instead of y to get 387 = 0.002x - 0.30. you can add 0.30 to both sides to get 387.3 = 0.002x

Then you can divide both sides by 0.002 to get 387.3/0.002 = 193650

5 0

2 years ago

C=wtc/1000 solve for w

Nutka1998 [239]

For this case we have the following equation:
$C = \frac{wtc}{1000}$
To clear w, we must follow the following steps:
1) The value of t multiplied by c pass to divide the other side of the equation:
$\frac{w}{1000} = \frac{C}{tc}$
2) the value of 1000 is passed to multiply to the other side of the equation:
$w = \frac{1000C}{tc}$
Answer:
The cleared equation for w is:
$w = \frac{1000C}{tc}$

3 0

2 years ago

Read 2 more answers

Finn and Ellie sell oranges at a produce stand. Finn earns $5 for each crate of oranges he sells. At the end of the week, Ellie

Gnesinka [82]

Answer:

Step-by-step explanation:

Finn earns $5 for each crate of oranges he sells in a week. This means that if she sold z crates in a week, the total amount that she would earn is 5 × z = 5z

At the end of the week, Ellie has earned $20 more than Finn. The following expression shows Ellie's earnings :

20 + 5z

Therefore, in the expression, the second term represents the total amount that Finn earned for selling z crates.

4 0

2 years ago

Read 2 more answers

What is the following simplified product? Assume x greater-than-or-equal-to 0

andreev551 [17]

Answer:

Option C is correct.

Step-by-step explanation:

We have to simplify the product of

(StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)

= $(\sqrt{6x^{2}} + 4\sqrt{8x^{3}})(\sqrt{9x} - x\sqrt{5x^{5}})$

= $(\sqrt{6x^{2}} + \sqrt{128x^{3}})(\sqrt{9x} - \sqrt{5x^{7}})$

= $\sqrt{54x^{3}} - \sqrt{30x^{9}} + \sqrt{1152x^{4}} - \sqrt{640x^{10}}$

= $3x\sqrt{6x} - x^{4}\sqrt{30x} + 24x^{2}\sqrt{2} - 8x^{5}\sqrt{10}$

= 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

Therefore, option C is correct. (Answer)

8 0

2 years ago

Read 2 more answers

Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10

son4ous [18]

There is a relationship between confidence interval and standard deviation:
$\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}$
Where $\overline{x}$ is the mean, $\sigma$ is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
$\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}$
When we do all the calculations we find that:
$\overline{x}=123.8\\ \sigma=11.84$
Now we can find confidence intervals:
$($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\$
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing

6 0

2 years ago