[5y]^4 when y= 2 Evaluate the expression

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

Answer: c. The probability that A does not occur is 0.5.

Step-by-step explanation:

Given: Event A has probability 0.5. Event B has probability 0.6.

If M and N are disjoint sets , the  P(M or N) = P(M) +P(N)

So, if A and B are disjoint sets , then P(A or B)= P(A) + P(B)

= 0.5+0.6

= 1.1 > 1  

And probability cannot be greater than 1.

So, A and B are not disjoint.

If A or B includes all the possible outcomes in the sample space then, P(A) or P(B) should equal to 1 which is not true.

Probability of not E = 1- P(E)

So, . The probability that A does not occur =  1- P(A) = 1-.5= 0.5

So, option is C. correct.

The probability that A does not occur is 0.5.

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

Answer:

20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

201.6

i think

Answer: I am pretty sure its A

Step-by-step explanation:

Answer:

[tex]7x - 4y = 42[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (6,0)[/tex]

[tex](x_2,y_2) = (2,-7)[/tex]

Required

Determine the equation in standard form

First, calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{-7 -0}{2 - 6}[/tex]

[tex]m = \frac{-7}{-4}[/tex]

[tex]m = \frac{7}{4}[/tex]

The equation in standard form is calculated using:

[tex]y - y_1 = m(x - x_1 )[/tex]

This gives:

[tex]y - 0 = \frac{7}{4}(x - 6)[/tex]

[tex]y = \frac{7}{4}(x - 6)[/tex]

Cross Multiply

[tex]4y = 7(x - 6)[/tex]

Open bracket

[tex]4y = 7x - 42[/tex]

Subtract 7x from both sides

[tex]-7x + 4y = 7x - 7x - 42[/tex]

[tex]-7x + 4y = - 42[/tex]

Multiply through by -1

[tex]-1(-7x + 4y) = - 42*-1[/tex]

[tex]7x - 4y = 42[/tex]

Answer: 8 ÷ 6365

Step-by-step explanation: cant be simplified

Answer:

about 7 times

Step-by-step explanation:

First do 80 times 3 and get 240 then do 240 divided by 34 and get 7.058823529 which can be rounded to 7.

Answer:

168

Step-by-step explanation:

This is a proportion problem, but with a small trick.

Boys/Girls = 7/6

Here is the trick: add 1 to each side of the equation

(boys/girls) + 1 = (7/6) + 1

(boys + girls)/girls = 13/6

364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168

Answer:

[tex]168[/tex] girls

Step-by-step explanation:

Since the ratio of girls to boys is [tex]6:7[/tex], we can let the number of girls be [tex]6x[/tex] and the number of boys be [tex]7x[/tex]. We are given that there are a total of [tex]364[/tex] students, so we can write the following equation to solve for [tex]x[/tex]:

[tex]6x+7x=364[/tex]

Solving for [tex]x[/tex], we get:

[tex]6x+7x=364[/tex]

[tex]13x=364[/tex] (Simplify LHS)

[tex]\frac{13x}{13} =\frac{364}{13}[/tex] (Divide both sides of the equation by [tex]13[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=28[/tex] (Simplify)

Therefore, there are [tex]6x=6*28=168[/tex] girls in the 6th Grade. Hope this helps!

9514 1404 393

Answer:

  B.  9 x 10^4

Step-by-step explanation:

The square number will be a square multiplied by 10 to an even power. Only one choice has an even power of 10.

  9 x 10^4

Answer:

4 + 2t = m

Step-by-step explanation:

Answer:

i think it t=2m

so sorry if im wrong i tried

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.

EJ = JG

4w + 4 = 2w + 18

Subtract 2w from both sides

2w + 4 = 18

Subtract 4 from both sides

2w = 14

Divide both sides by 2

w = 7

EG = EJ + JG

EG = 4w + 4 + 2w + 18

EG = 6w + 22

Now that we know what 'w' is, we can substitute it for 7

EG = 6 (7) + 22

EG = 42 + 22 = 64

The measure of EG is 64.

Hope that helped!

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer:

4/5

Step-by-step explanation:

0.8=8/10=4/5

tadaaa

Answer:

Rotated then reflected.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1760 yards in 1 mile.

4 miles is 1760x4

Answer:

5.3x - 3.8y - 1.5

Answer:

(3.1x+2.2x)+(−2.4y+1.4y)+(1.9+3.4)

Step-by-step explanation:

I just did this problem :>

9514 1404 393

Answer:

  C.  jump discontinuity at x=-2

Step-by-step explanation:

At x=-2, you have to lift your pencil to keep drawing the graph. That means there's a jump discontinuity there.

This function has a jump discontinuity at x = -2.

__

Additional comments

At x=3, there is no discontinuity in the function. The derivative of the function has a discontinuity there, as there is an abrupt change in slope at that point.

If left and right limits exist and are the same at a point, but the graph is not defined at that point, then a removable discontinuity exists. All that is needed to fill the hole is to define the function at that point.

Answer:

n₁  > n₂     Sample size of the first sample is bigger

Step-by-step explanation:

CI = 95 %    α = 5 %     α = 0,05

We know the bell shape curve of the normal distribution is symmetrical with respect to the mean, therefore we only need to evaluate one tail of the samples

Then from z-table we find   z(c)  =  1,64

CI   =  (  μ₀ - z(c)*σ /√n   <  X  <   μ₀ + z(c)*σ /√n )

So we must compare the tails of the two CI

Let´s call  n₁    and   n₂   the samples size of two different samples

The CI of the samples begins at

sample 1       μ₀ - z(c)*σ /√n₁        and for sample 2    μ₀ - z(c)*σ /√n₂      

that means   51,7  =  μ₀ - z(c)*σ /√n₁     (1)

and                49,1  =   μ₀ - z(c)*σ /√n₂     (2)

Where   μ₀ ;  z(c) = 1,64 ;  σ  are equal in both equations

Now by simple inspection, we note that the second term on the right side of the second equation should be bigger than the second term on the right side of  the first equation

then    

z(c)*σ /√n₂   >  z(c)*σ /√n₁

Then   n₂    need to be smaller than  n₁

n₁  > n₂

Answer:

12

Step-by-step explanation:

15 feet total amount combined by pole and birdhouse

4 foot tall person makes 5 feet long shadow

5x3=15

4x3=12 so the birdhouse and pole are 12 feet

The birdhouse and the pole are 18.75 ft tall.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.

Assume that for the birdhouse and the pole are [x] ft tall.

Now, for a 4 feet tall person, the shadow is 5 feet long.

Then, for one feet long person, the shadow would be (5/4) feet long.

Then, for 15 feet long -

x/15 = 5/4

x = (15 x 5)/4

x = 75/4

x = 18.75 feet tall

Therefore, the birdhouse and the pole are 18.75 ft tall.

To solve more questions on Equation modelling, visit the link below-

https://brainly.com/question/9144182

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Answer:

(-1, -3)

Step-by-step explanation:

The solution of the graph is the coordinate of the point where the two lines intercept each other on the graph.

Thus, the two lines intercept at when x = -1, y = -3.

The solution to the system of equations represented on the graph would be (-1, -3)

Answer: 2 feet tall

Step-by-step explanation: 5*6=30/60=2

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:

Total ladybugs = 8.3 x 10⁶ + 950,000

Total ladybugs = 8,300,000 + 950,000

Total ladybugs = 9,250,000

Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

Learn more about total population here: https://brainly.com/question/13902749

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Answer:

The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

Step-by-step explanation:

Given

We know that the slope-intercept form of the line equation

y = mx+b

where

substituting m = 6 and the point (3, -4) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-4 = 6(3) + b

-4 = 18 + b

switch sides

b = -4 - 18

b = -22

now substituting m = 6 and the b = -22 in the slope-intercept form of the line equation

y = mx+b

y = 6x + (-22)

y = 6x - 22

Therefore, the equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

Answer: 0.4181807

Step-by-step explanation:

Probability that American adults are pessimistic about the future of marriage and the family: p= 0.25

Sample size n= 20

Let [tex]\hat{p}[/tex] be the sample proportion of American adults that are pessimistic about the future of marriage and the family.

[tex]P(\hat{p}\leq0.23)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.23-0.25}{\sqrt{\dfrac{0.25(1-0.25)}{20}}})\\\\= P(Z<-0.20655) \ \ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(Z<0.20655)\\\\= 1- 0.5818193=0.4181807[/tex]

Hence, the required probability = 0.4181807