Find the value for a,b,c,d

The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².

The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The volume of the given cylinder is,

Volume of the cylinder = (π/4) × (4cm)² × 16cm

                                      = 201.062 cm²

Hence, the volume of the given cylinder is 201.062 cm².

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Step-by-step explanation:

hope it helps you see the attachment for further information

Answer:

Angle B = 29.74

Step-by-step explanation:

Tan(x)=opp/adj

Tan(x)=4/7

x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]

x=29.74

Answer:

22/30

Step-by-step explanation:

22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.

So, 22/30

Answer:22/30

Step-by-step explanation:

The probability that at least three plants produce two or more seeds is 0.793915.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there be x successes is given by

Use binomial distribution, with p =0.20, n=5, x=3

[tex]P(X=x)=C(n,x)p^x (1-p)^{n-x}[/tex]

P(X> = 3)

[tex]=1-(P(X=0)+P(X=1)+P(X= 5 ))\\=1-(C(20,0)0.2^0 (0.8)^{20-0}+C(20,1)0.2^1 (0.8)^{20-1}+C(20,2)0.2^2 (0.8)^{20-2})[/tex]

=1-(0.0115292+0.057646+0.136909)

=1-0.206085

=0.793915

Hence, the probability that at least three plants produce two or more seeds is 0.793915.

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Solution :

From the given graph the x-intercept is 2 and y-intercept is -1 .

So, equation of line in intercept form is :

[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]

[tex]y = \dfrac{x-2}{2}[/tex]

Now, putting x = 4 in above equation, we get :

[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]

Therefore, the value of function at x =4 is 1 .

Answer:

[tex]P(81)=56.16[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\mu=50[/tex]

Standard Deviation [tex]\sigma=7[/tex]

Percentile 81st

Generally Probability of 81st Percentile

 [tex]P(Z<x)=81\%[/tex]

Using Standard normal Table

 [tex]P(Z<0.88)=81\%[/tex]

Therefore the 81st percentile is given as

 [tex]P(81)=z*\sigma *\mu[/tex]

 [tex]P(81)=0.88*7*50[/tex]

 [tex]P(81)=56.16[/tex]

Answer:

y=-2/3x

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so first rearrange the given equation to find the gradient. y=3/2x-7/2

the gradient of the new line will be m=-2/3 then use the point (-3,-2) to find the equation of the line

y=mx+b

-2=(-2/3)(-3)+b

-2=2+b

b=0

y=-2/3x

Answer:

Step-by-step explanation:

First make the denominators the same.

Take the LCM of (8, 12 , 8) = 24

So,

      [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]

[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]

That is,

           [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]

Answer:

You need variability

Step-by-step explanation:

Variability measures the degree to which the scores are spread out or clustered together in a distribution.

Hope this helps:)

Answer: 16590

Step-by-step explanation:

Let p be the population proportion of high school students in the area who attend their home basketball games.

As per given,

prior p = 0.5

Margin of error E= 0.01

Criticfor z-value for 99% confidence = 2.576

Sample size will be computed as

[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]

Hence, required sample size = 16590

Ummmmmm ok hold on let me see

Answer:

Josh made 40 free throws.

Step-by-step explanation:

5/7=0.71428571428

0.71428571428*56 = 39.99

so Josh made 40 free throws.

Have a nice day! :-)

Answer:

No.of cups for one soup : 2 cups

No.of cup for 3 soups: 2×3

=6

So , 6 cups of vegetable

HOPE IT HELPS U :)

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 25^2

400 + b^2 = 625

-400           -400

b^2 = 225

b = √225

b = 15

Answer:

A; TDC Inc., has 40 salespeople

B; Exactly half of the salespeople took fewer than 6 flights last year

F; Exactly half of the salespeople took at least 7 flights last year

Answer:

carretilla

Step-by-step explanation:

la carretilla se encontraba a unos 18 metros de altura

Answer:

P'(C) = 0.98

Step-by-step explanation:

Given that,

P(C) = 0.02 (The probability of getting C)

We need to find the complement of P(C) i.e. P'(C).

We know that,

P(C)+P'(C)=1

P'(C) = 1-P(C)

= 1-0.02

= 0.98

So, the complement of P(C) is equal to 0.98.

Answer:

[tex]x = \sqrt{32}[/tex]

Step-by-step explanation:

[tex]\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}[/tex]

Answer: 96

Step-by-step explanation:

Given

Verne has 5 math books to line up on a shelf

Jenny has 4 english books to line up on a shelf

No of ways Verne can arrange the books are [tex]5![/tex]

No of ways Jenny can arrange the books are [tex]4![/tex]

Difference between them

[tex]=5!-4!\\=120-24\\=96[/tex]

Thus, Verne can line up 96 more orders than Jenny

Answer: [tex]5.7\ cm[/tex]

Step-by-step explanation:

Given

Rectangle has an area of [tex]19.38\ cm^2[/tex]

Suppose rectangle length and width are [tex]l[/tex] and [tex]w[/tex]

If each side is increased by [tex]1.50\ cm[/tex]

Area becomes [tex]A_2=35.28\ cm^2[/tex]

We can write

[tex]\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)[/tex]

Substitute the value of width from (ii) in equation (i)

[tex]\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7[/tex]

Width corresponding to these lengths

[tex]w=5.7,\ 3.4[/tex]

Therfore, we can write the length of the longer side is [tex]5.7\ cm[/tex]

Answer:

M(x)  =  452,56 in

Step-by-step explanation:

The volume of the open box is  500 in³

V = Area of the base times height

V(b) =  x² * h               where x is the side of the square and h the heigh

Then     500 =  x²*h

Total material to use is: material of the base + material of 4 sides

material of the base is  x²

material of one side is x*h  we have 4 sides then  4*x*h

Total material M(b)

M(b)  =  x²  +  4*x*h

And    as    h  =  500/ x²

M(x)  =  x²  +  4* x* 500/x²

M(x)  =  x²  +  2000/x

Tacking derivatives on both sides of the equation

M´(x)  =  2*x   - 200/x²

M´(x)  =  0         2*x  -  200/x²  = 0

x³ -  100  =  0

x³   =  100

x   =  4,64 in

And By substitution     h  =  500/x²

h  =  500/(4,64)²           h  =  23,22  in

How do we know that x = 4,64 make V(x) minimum

we get the second derivative

M´´(x)  =  2  +  200*2x/ x⁴    =  2  +  400/x³

M´´(x) is always positive

M´´(x) > 0     then M(x) has a minimum for  x= 4,64 in

The least amount of material is:

M(x)  =  x²    +    2000/x

M(x)  =  (4,64)²  *  2000/4,64

M(x)  = 21,53  +  431,03

M(x)  =  452,56 in

Answer: 3/11 would be the answer

Answer:

x=36

Step-by-step explanation:

because 4x36=144

Answer:

4x = 144

4 • 36 = 144

The answer to the equation is 36

Answer:

yes

Step-by-step explanation:

Answer:

83,000

Step-by-step explanation:

Thousand = 1,000s place

1,000s place of 83,243 is the 3 (3,000)

The number right before 3 is the 2 (200)

2 is closer to zero than 10 so it rounds down

83,243 then becomes 83,000 since the other numbers before the (2) round down with it.

Answer:

xy

Step-by-step explanation:

xy³ and x³y

GCF is xy

Answer:

I think it's xy

Step-by-step explanation:

just find the prime factors of each term

Answer:

Step-by-step explanation:

Since this is a assignment, I'll give a hint.

To find the area of a trapezoid, it'ls h(b1*b2)/2.

The height is how long the trapezoid is from each base.

The bases are the lines parralel to each other.

Answer: =

Step-by-step explanation: just took the test

We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.

Here we have two angles, one in degrees and  the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.

The angles are:

pi/3 rads

60°

First, remember that:

pi rads = 180°

1 rad = (180°/pi)

With this, we can change the units of the first angle to get:

pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°

So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.

pi/3 rads = 60°

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Step-by-step explanation:

y = -x²+6x-5

x-intercept => y= 0

-x²+6x-5=0

x²-6x+5=0

(x-5) (x-1) =0

x= 5 or x=1

(1, 0) and (5, 0)