Find the surface area of the prism.

Answer:

Step-by-step explanation:

Volume of a cylinder of radius

r

and height

h

is

π

r

2

h

As radius is

3

and area is

81

π

cubic units,

π

3

2

×

h

=

81

π

or

9

π

×

h

=

81

π

Hence

h

=

81

π

9

π

=

9

Answer:

9 cm

Step-by-step explanation:

Answer:

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Step-by-step explanation:

The given data is

Sample1 mean = x1` = 289.3

Sample 1 size = n1= 10

Sample 1 std. dev= s1= 22.5

Sample2 mean = x2` = 321.5

Sample 2 size = n2= 16

Sample 2 std. dev= s2= 21

1)Formulate the null and alternate hypothesis as

H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂

2)The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

where degrees of freedom = d.f=

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

3) the significance level chosen is ∝= 0.05

4) Calculating the d.f

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

    = [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]

= 18

5) the critical region for ∝= 0.05 for 18 d.f =  ±2.101 for two sided test

6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 289.3- 321.5/√21²/10 + 22.5²/16

t= -32.2/√44.1+31.64

t= -32.2/8.0729

t= -3.9886

7) Conclusion

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Answer:

Step-by-step explanation:

This is a really famous diagram!  The circle has been divided into many wedges (think slices of pizza!).  The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them.  See how the bottom and top edges of the rectangle look bumpy?

The area of the "rectangle" is approximately [tex]\pi r^2[/tex] .  The reason is that the height of the rectangle is  r , the radius of the circle.  And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle.  It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.

The approximation improves as the number of wedges increases.  In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference.  In other words, making more wedges makes the rectangle less bumpy!

Answer:

1 4

2 8

3 12

6 24

for next year, its 32

Step-by-step explanation:

cauz 8 divided by 2 is 4

Also since it goes up by four, 3 is 12 and 6 is 24

Answer:

Cannot be determined with the information given in and of itself.

Step-by-step explanation:

You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.

I would appreciate Brainliest, but no worries.

Answer:

0

Step-by-step explanation:

if you have 2 and you take one away you have 1,

you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.

Answer:

1

Step-by-step explanation:

9/10+1/10=(9+1)/10=10/10=1

Answer:

1

Step-by-step explanation:

you can add the two fractions since they have a common denominator. 9/10 + 1/10 = 10/10

any number divided by itself is equal to 1

Step-by-step explanation:

[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]

Answer:

At 2:00.

Step-by-step explanation:

You take 10 minutes off 2:50 for play time add the two 20s together then subtract 40 to get 2:00.

Answer:

0.9192 = 91.92% probability that the weight will be less than 4473 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean weight of 3950 grams and a standard deviation of 374 grams.

This means that [tex]\mu = 3950, \sigma = 374[/tex]

Find the probability that the weight will be less than 4473 grams.

This is the pvalue of Z when X = 4473. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4473 - 3950}{374}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a pvalue of 0.9192

0.9192 = 91.92% probability that the weight will be less than 4473 grams.

The true statements are as follows

The following statements considered to be false:

Therefore, the above statements are considered true.

Learn more: brainly.com/question/17429689

Answer:

The answer is C.

Step-by-step explanation:

They don't explain how to find the total distance Candice ran.

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  3 days

Step-by-step explanation:

You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.

The equation for the number of days (d) is ...

  73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee

  73.95d = 221.85 . . . . . . subtract 11

  d = 221.85/73.95 = 3 . . . . divide by the coefficient of d

The saw was rented for 3 days.

Answer:

3 days

Step-by-step explanation:

Answer:

its 1

Step-by-step explanation:

Answer: 28.05

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

Answer:

5. 1 1/2 ( c )

6. 3 7/10 ( c )

Step-by-step explanation:

i can help u with the whole test if u give me brainliest

Answer:

a=16 is your correct answer.

Hope it helps!!!

Answer:

14

Step-by-step explanation:

Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.

Hope this helps!

Both angles form a right angle which is 90 degrees.

Angle 2 would equal 90 degrees - angle 1

Angle 2 = 90 -34 = 56

So now we know 4x = 56

To find x divide both sides by 4

X = 14

Answer:

$135

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hows it goin my boi

Answer:

400

Step-by-step explanation:

V = a² * h/3

Plug in your values:

V = 10² * 12/3

Then solve:

100 * 4 = 400

Answer:

I think it's false

Step-by-step explanation

Answer:

um.....

Step-by-step explanation:

9514 1404 393

Answer:

  245 cm²

Step-by-step explanation:

The surface area of a cone is given by ...

  SA = πr(r +s) . . . . where r is the radius, and s is the slant height

Filling in the given values, we have ...

  SA = (3.14)(3 cm)(3 cm +23 cm) = (3.14)(3)(26) cm² ≈ 245 cm²

The surface area of the cone is about 245 cm².

Answer:

The minimum sample size needed is 39.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the number of hours is 120 hour

This means that [tex]\sigma = 120[/tex]

The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?

The minimum sample size needed is n.

n is found when [tex]M = 50[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]

[tex]50\sqrt{n} = 2.575*120[/tex]

[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]

[tex]n = 38.19[/tex]

Rounding up

The minimum sample size needed is 39.

Answer:

17.5

Step-by-step explanation:

The area of a triangle is (height*base)divided by two

(the eight is really unnecessary)

so 7=base

8=height

7*5=35

35/2=17.5

Answer:

The coordinates of point B are (-3,-3).

Step-by-step explanation:

Let [tex]A(x,y) = (6,-6)[/tex], [tex]C(x,y) = (-6,-2)[/tex] and [tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex], then we have the following formula by vectorial definition of a line segment:

[tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex]

[tex]B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)][/tex]

[tex]B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)[/tex]

[tex]B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)[/tex]

[tex]B(x,y) = (-3, -3)[/tex]

Answer:

u  16

Step-by-step explanation: