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3 years ago

What is the probability the computer produces the first letter of your first name

Mathematics

1 answer:

inysia [295]3 years ago

4 0

Answer:

1 out of 26

Step-by-step explanation:

Because there are 26 letters in the alphabet !

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A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.

mestny [16]

Here's the formula for the volume of a cone:

$V=\frac{1}{3}\pi\ r^2h$

Plug in 3.14 for $\pi$ .
Plug in 6 for the height $h$ .
Our radius is half of our diameter. $r=6$ .

$V\approx\frac13\times3.14\times6^2\times6$

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...

$V\approx226.08$

Rounding to the nearest tenth...

$\boxed{V\approx226.1\ ft^3}$

7 0

3 years ago

Read 2 more answers

Can someone tell me what 5/6 x 9/10 is and explain it please don’t just give me a answer

nadezda [96]

How this is solved is by

Multiply 5/6 with 9/10
This multiplication involving fractions can also be rephrased as "What is 5/6 of 9/10?"

5
6
×
9
10
is
3
4
.

Steps for multiplying fractions

Simply multiply the numerators and denominators separately:
5
6
×
9
10
=
5 × 9
6 × 10
=
45
60
After reducing the fraction, the answer is
3
4
Or 3/4

8 0

3 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - <em>α</em>)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of <em>t</em> is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0

3 years ago

To bike rental companies have different pricing systems company a charges a flat fee of four dollars +2 dollars per mile Company

lukranit [14]

Answer: the charge would be the same after 5 miles

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be

4 + 2x

Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.

For the charge to be the same, the number of miles would be

2.8x = 4 + 2x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8

x = 5

5 0

3 years ago

Use signed numbers to solve. A helicopter descended 1200 feet, rose 800 feet, and then descended 450 feet. What was the net gain

sergey [27]

The rise or an increase in altitude is represented by positive sign and a decend or decrease in altitude is represented by negative sign.

First the helicopter descended 1200 feet. So the change in altitude will be -1200 feet.

Then the helicopter rose by 800 feet. So the change in altitude will be 800 feet.

Finally the helicopter descended by 450 feet. So the change in altitude will be -450 feet.

The net change in altitude will be the sum of all the above 3 changes.
Change in altitude = -1200 + 800 - 450 = -850 feet

The negative sign indicates a descend i.e. loss in altitude. So the net change in altitude was a loss of 850 feet.

3 0

3 years ago