Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles

Using the binomial distribution, it is found that:

a) The mean is of 0.36 and the standard deviation is of 0.58.

b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

The formula is:

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

The values of the parameters are given as follows:

n = 6, p = 0.06.

Item a:

The mean is of 0.36 and the standard deviation is of 0.58.

Item b:

The probability is P(X = 3), hence:

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

[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]

There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

1=105

3=105

4=75

5=105

6=75

7=105

8=75

Step-by-step explanation:

angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).

This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).

lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.

I hope that made sense.

9514 1404 393

Answer:

  117°

Step-by-step explanation:

We assume you want to report your bearing as an angle measured CW from North. For conventional angles greater than 90°, it will be ...

  450° -angle = 450° -333° = 117°

The bearing of the ship is 117°.

Answer:

60

Step-by-step explanation:

i did the math yeah

9514 1404 393

Answer:

  200 cm

Step-by-step explanation:

1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...

  (600 cm)/3 = 200 cm . . . length of each piece

Answer:

[tex]7\frac{3}{8}[/tex] pounds

Step-by-step explanation:

First, convert the fractions into improper fractions, and make them have the same denominator.

First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]

Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]

Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]

Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.

[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]

Answer:

y = 8x + 86

Step-by-step explanation:

Answer:

choice 2) y = 8x + 86

Step-by-step explanation:

Answer:

Nope they are not parallel.

Step-by-step explanation:

first find the slope of each equation.

-4x+4y= -1

4y= 4x -1

y= (4x-1)/4

y=x - 1/4

the other equation

4x +4y = -1

4y= -4x -1

y= (-4x-1)/4

y= -x -1/4

the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.

Answer:

C. 62

Step-by-step explanation:

All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)

Answer:

92 is the answer

Step-by-step explanation:

Answer:

x=22/9

Step-by-step explanation:

4(3√(x-2))+1=9

4(3√(x-2))=8

3√(x-2)=2

√(x-2)=2/3

x-2=4/9

x=4/9+2

x=4/9+18/9

x=22/9

Therefore, the solution is x=22/9

Answer:

Linear

Step-by-step explanation:

[tex]y=.35x+26[/tex]

[tex]y=\frac{7}{20}x+26[/tex]          .35 = 7/20

The form [tex]y=mx+b[/tex] represents a linear equation. Our equation fits that form, with [tex]m=\frac{7}{20}, b=26[/tex].

Answer:

Linear

Step-by-step explanation:

Answer: 90 degrees clockwise

Step-by-step explanation:

Answer:

71 degrees

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

Answer:

13

Step-by-step explanation:

50 multiplied by .26

Answer:

the answer the 10.25 u move both decimals over and move it up to the top and divide like normal

Step-by-step explanation:

24 employees from each sales department at each location

Answer: D. 24 employees from each sales department at each location

Step-by-step explanation: took the test I got it right

Answer:

Step-by-step explanation:

Answer:

8 half cubes

Step-by-step explanation:

8 half cubes

Answer:

b! 8 half-cubes!

Step-by-step explanation:

Answer:

I believe it is 12

Step-by-step explanation:

but I am not 100 percent sure

Answer:

C. 75

Step-by-step explanation:

Answer:

D) -5

Step-by-step explanation:

10x-5=-55

10x=-55+5

10x=-50

x=-50/10

x=-5

Answer:

Test statistic  Z = -1.0

 |Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

Step(i):-

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

                        [tex]p = \frac{x}{n} = \frac{47}{382} = 0.1230[/tex]

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

Step(ii):-

Test statistic

              [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

         [tex]Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }[/tex]

       Z = - 1.0

     |Z| = |-1.0| < 1.96 at 0.05 level of significance.

Final answer:-

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Answer: 7 square root 2 AKA the bottom one

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

55+59 =114

180-114=66

Answer:

the present value is $16,203.80

Step-by-step explanation:

The computation of the amount that need to deposit is given below:

Given that

PMT = $400

FV = $0

NPER = 7 × 7 = 49

RATE = 7.1% ÷ 4 = 0.7889%

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the amount that need to be deposit is $16,203.80

Hence, the present value is $16,203.80

Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{4}{5} x[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1 }{x_2-x_1}[/tex] and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

[tex]m = \frac{4-0}{5-0} \\m = \frac{4}{5}[/tex]

So, the slope is [tex]\frac{4}{5}[/tex].

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the [tex]y = mx + b[/tex] format. The number in place of [tex]m[/tex] represents the slope, so substitute [tex]\frac{4}{5}[/tex] in its place. The number in place of [tex]b[/tex] represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

[tex]y =\frac{4}{5} x+0\\y = \frac{4}{5} x[/tex]

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

In this problem, the slope is 4/5 because m=rise/run.

Answer:none

Step-by-step explanation: