An executive board consists of a president (P) and three vice-presidents ( V 1 , V 2 , V 3 ) . For a motion to pass it must have yes votes from three of the voting members, one of which must be the president's. A weighted system that could represent this situation is:_________

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 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 of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

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

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

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

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Answer:

they might not be the same numbers but you can do it with all of the step-by-step explanations I gave you just with the numbers you have

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine tan m∠A, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan A = √32/2 = (√16 × √2)/2

Tan A = (4√2)/2

Tan A = 2√2

Answer:

b)-1.5

Step-by-step explanation:

Answer:-5/z ; z=5 solution -1

Step-by-step explanation:

-5/5

Answer:

see my explanation!!

Step-by-step explanation:

2000-750=1250m

Answer: 9 minutes and 12 minutes

Step-by-step explanation:

Answer:

3<+2=13 is the answer

Step-by-step explanation:

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Answer:

(-3, -2)

Step-by-step explanation:

"If the parabola opens up, the vertex represents the lowest point on the graph". By looking at the graph, we can see that the lowest point is (-3, -2).

Answer:

5½ inches

Step-by-step explanation:

7⅔ - 2 1/6 = 7 4/6 - 2 1/6 = 5 3/6 = 5½

Answer:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{7}{2}x - 16[/tex]

Required

The difference quotient for h

The difference quotient is calculated as:

[tex]\frac{f(x + h) - f(x)}{ h}[/tex]

Calculate f(x + h)

[tex]f(x) = \frac{7}{2}x - 16[/tex]

[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]

[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]

The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]

Collect like terms

[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]

So, we have:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]

Rewrite as:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Answer:

It is A.

Step-by-step explanation:

Just took the test

Answer:

120 degrees is x

Step-by-step explanation:

because both are equal angles

btw nice Pikachu meme

Answer:

a = 12 and b = 18

Step-by-step explanation:

Given that,

8,a,b,27 are in geometric sequence.

For a GP, the nth term is given by :

[tex]a_n=ar^{n-1}[/tex]

Put n = 4

[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]

Put n = 2,

[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]

Put n = 3

[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]

So, the values of a and b is 12 and 18 respectively.

=======================================================

Explanation:

The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is not on the plane P.

Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.

Therefore, the statement is sometimes true

Answer:

11^2 = 121.

11 * 11 = 121.

AnSwer:

Step-by-step explanation:

YOUR ANSEWR IS

121 Evaluate.

Answer:

$481.25

Step-by-step explanation:

The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is

i = ($3500.00)(0.055)(2.5 yr), or

i = $481.25

Answer:

p=8, -22

Step-by-step explanation:

Move 6 to the other side

-|p+7|=-15

Now move the - symbol to the other side

|p+7|=15

Now

p+7=15

and

p+7=-15

Solve both the equation

p=8, -22

Hope this helps!

Answer:

216 stamps

Step-by-step explanation:

Stamps =4x

stickers=x

coins=46

4x+x+46=316 (stamps, stickers and coins)

5x=270

x=54 (stickers)

4x=stamps

4(54)=stamps

216=stamps

check answer

54 (stickers)+216(stamps)+46 (coins)=316

316=316

Answer:

B

Step-by-step explanation:

You just need to find the volumes of both container and soap and divide them. So;

Volume of Soap = 15cm * 8cm * 6cm = 720 cm^3

Volume of Container = 165cm * 40cm * 96cm = 633600 cm^3

Dividing them gives = 633600 cm^3 / 720 cm^3 = 880

Answer is B.  

Answer:

i would like to have the pic of the graph and ill help asap

Step-by-step explanation:

Answer:

Im fairly sure it is 45ft^3

Answer:

[tex]45ft^{2}[/tex]

Step-by-step explanation:

V=L*W*H