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3 years ago

11

What is 8 x 6 x 1/2?

2 answers:

Lena [83]3 years ago

4 0

Answer:

24

Step-by-step explanation:

8 x 6 = 48 and 48/2 = 24

Alla [95]3 years ago

3 0

Answer:

8 x 6 = 48 x 1/2 = 24

Step-by-step explanation:

Yoy have to multiply 8 and 6 which is 48 then multiply by 1/2.

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Scores from an exam are normally distributed with a mean of 85 and a standard deviation of 5. Suppose 188 students take the exam

charle [14.2K]

The mean is $\mu=85$ and standard deviation is $\sigma=5$ . Then the variable $X\sim N(85,5)$ .

Use substitution $Z=\dfrac{X-\mu}{\sigma}=\dfrac{X-85}{5}$ , then the variable $Z\sim N(0,1)$ .

The probability $Pr(X>80)$ can be calculated in the following way:

for X=80, $Z=\dfrac{80-85}{5} =-1$ and $Pr(X>80)=Pr(Z>-1)$ . From the diagram $Pr(Z>-1)=0.34+0.34+0.135+0.025=0.84$ .

Conclusion: if 188 students take the exam, then 188·0.84=157.92 (157) would receive a score above 80

4 0

3 years ago

Read 2 more answers

Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

7 0

2 years ago

Solve the following prisim

mr_godi [17]

Answer:

First find the area of the front triangle and then multiply it with 3

Step-by-step explanation:

3 0

3 years ago

A rectangular solid has sides of 7 cm + 9 cm + 11 cm what<br> is its surface area

alina1380 [7]

Your answer would be: <em>693.</em>

Explanation:

When finding the area in a problem use <em>L×W×H</em>.

That being said, you now have to multiply the <em>L×W×H</em> (7x9x11)

7 × 9 × 11 = <em>693</em>

So the answer would be <em>693</em> because, if you are finding an area you use <em>L×W×H</em> to find your area.

6 0

3 years ago

Read 2 more answers

Darla has four buckets shaped like cylinders she is filling the buckets with water by using a scoop shaped like a cone if the co

padilas [110]

Answer:

12 Scoops

Step-by-step explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders $=4*\pi r^2h$

The scoop is cone shaped and:

Volume of the Cone Scoop $=\frac{1}{3} \pi r^2h$

Since the radius and height of the cone scoop and cylindrical buckets are the same,

The number of Cone Scoops it will take to fill the buckets is:

Total Volume of Buckets/Volume of Cone Scoops

$=\dfrac{4*\pi r^2h}{\frac{1}{3} \pi r^2h} \\=4 \div \frac{1}{3}\\=12$

It will take 12 Scoops to fill the 4 buckets.

5 0

3 years ago