If Bill wants to find the average of his family's heights. If his brother is 60 inches tall, his
sister is 58 inches tall, his mother 64 inches tall, and his father 72 inches tall, how tall
does Bill need to be to have an average family height of at least 62 inches?

A technical analyst would consider a put call ratio of  30 percent as a bearish indicator.

What in SAPM is technical analysis?

Which technical metric is regarded as bullish?

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Small, random genetic changes that occur over generations is known as genetic drift.

Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.

Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.

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The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.

The given expression is  [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]

Here we take the reverse of the distributive property to solve the expression. We take the term of  [tex]\frac{4}{7}[/tex]  common from both the separate expressions:

[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]

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We have given a sample size of n=40

Sample mean ¯x=$6.88 per 100 pounds

Population standard deviation= 1.96 per 100 pounds

First, we need to find the value of z α /2 =z (1−0.90/2)

Z (α/2) =z0.05

Z (α/2) =1.645

(a)The required 90% confidence interval is;

¯x ± margin of error

¯x ± z (α/2) * σ/sqrt 40

6.88 ± 1.645 * 1.96/sqrt 40

6.88±0.5097

(6.38,7.38)

Therefore, the lower limit is $6.38 per 100 pounds.

The upper limit is $7.38 per 100 pounds.

The margin of error is 0.50 per 100 pounds.

(b) to have the maximum of E, we use the formula;

n= (z (α/2)×σ/E) ^2

n= (1.645× (1.96/0.41)) ^2

n=61.84≈62

Therefore, the required farming region will be 62.

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Using it's concept, the probabilities are given as follows:
A. 1/4.B. 11/16.C. 0.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem, the number of marbles is given by:7 + 5 + 4 = 16.Then:For item a, 4 are red, hence the probability is 4/16 = 1/4.For item b, 4 are red and 7 are green, hence the probability is 11/16.For item c, there are no orange marbles, hence the probability is of 0.

Answer:

45 $

Step-by-step explanation:

20 x 2 = 40

40 + 5 = 45

I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.

The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.

Let's use the trig ratio cosine.

cos(angle) = adjacent/hypotenuse

cos(39) = x/7

7*cos(39) = x

x = 7*cos(39)

x = 5.44002 which is approximate

x = 5.4

Make sure your calculator is in degree mode.

342 = 2, 3, 6, 9

191 = no factors

1235 = 5

40320 = 2, 4, 8

16 = 2, 4, 8

78448 = 2, 4, 8

588 = 2, 4 , 12

67 = no factors

925 = 5

60043 = no factors

3663 = 3, 6

350 = 5

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Answer:

x = 9/11

Step-by-step explanation:

distribute the 2:

6x - 4 + 5x - 3 + 2

combine like terms:

11x - 7 = 2

add 7 to both sides:

11x = 9

divide by 11 to isolate x:

x = 9/11

Step-by-step explanation:

Distribute 2 to 3x-2

[tex]6x - 4 + 5x - 3 = 2[/tex]

Them combined like terms

[tex]11x - 7 = 2[/tex]

Then add 7 to both sides

[tex]11x = 9[/tex]

Then divide by 11 and get

[tex] \frac{9}{11} [/tex]

The false statement regarding the box-and-whisker plot is given by:

There are fewer data points in the lower two quartiles than in the upper two quartiles.​

The box-and-whisker plot is not given for this problem, but from it, we have that:

A box and whisker plot shows five things:

The false statement is:

There are fewer data points in the lower two quartiles than in the upper two quartiles.​

Because 50% values are below the median and 50% are above, meaning that there is an equal number of data points in the lower two quartiles than in the upper two quartiles.​

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The relative frequency are

i) Pilot error = 15.9 percent

ii)   Human Error =3.8 percent

iii)   Weather = 19.3 percent

iv)  Mechanical problem = 42 percent

v)  Sabotage = 19.2 percent

The formula for the relative frequency is = f/n

                             Where, f = the number of times the data occurred in an observation

                                           n = total number of observations.

If we have to convert it into percentage form we will multiply it by 100

Thus we have been given that

       Crashes due to pilot error = 260

       Crashes due to other human error = 62

       Crashes due to weather = 315

      Crashes due to mechanical problem = 682

       Crashes due to sabotage = 313

Total number of errors occurred = 260+62+315+682+313

                                                           = 1632

Hence, the relative frequency are

 i) Pilot error = 260/1632 * 100 = 15.9 percent

 ii) Human Error = 62/1632 * 100 =3.8 percent

iii)  Weather = 315/1632 * 100 = 19.3 percent

iv) Mechanical problem = 686/1632 * 100 = 42 percent

v) Sabotage = 313/1632 * 100 = 19.2 percent

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Answer:5

Step-by-step explanation: I used this website called step-by-step calculator and then typed in your question

Answer:2

Step-by-step explanation:

Answer:

A set is well-defined so that we can always tell what is and what is not a member of the set

A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.

The equation system is presented below;

10x - 3y = 29       .........equation 1

-3x + 10y = 55     ..........equation 2

As a result of subtracting equation (2) from equation (1), we get;

By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.

13x - 13y = 29 - 55 = -26

Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.

We can see from the subtraction of equivalent representations that the solution for the

The solution for given equation, 13x - 13y = -26, is like the solution for given equation.

The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.

Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.

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 y =  -3 ( x - 1 )² + 9 is  quadratic function in standard form Vertex .

How does a parabola's vertex shape work?

given ,   Vertex =  (1,9)

              point =  (4,6)

The formula is  

              y = a + ( x - h )²  + k

where  h = 1  , k = 9

then    y = a ( x - 1 )² + 9

Find the value of

a when one of the points is  ( 4,6)

  6 = a ( 4 - 1 )²  +  9

  6 - 9 = 9a  

    -3  = 9a

     a =  -9/3  ⇒ -3

put value of a

 y = a ( x - 1 )² + 9

 y =  -3 ( x - 1 )² + 9

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According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x

We are told that the Transitive Property states that if a = b and b = c, then a = c.

Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.

Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.

Now, the expression 0 + x + 13 is equal to x + 13.

Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;

0 + x + 13 is equal to 13 + x

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Answer:

$0.3

Step-by-step explanation:

Cost of one box in a set,

→ 67/15

→ 4.47 = $4.5

Cost of one box in another set,

→ 143/34

→ 4.205 = $4.2

The cost increase for each extra box,

→ 4.5 - 4.2

→ $0.3

Hence, the answer is $0.3.

so a lot of detachment is really just a former way of saying, like if then so it's if you pass a final, then you pass the class. You passed the final.

Therefore you pass the class, right? So it's the law of attachment basically says, Okay, if U then D and we're just told that U is true.

The sum of the three values is 10.25 meters.

Here, we are given three measurements- 7.5m, 2.25m and 50cm

Since, we need to find the answer in meters, let us convert all the units to meters so that we can add them.

7.5 and 2.25 are already in meters so we do not need to covert them.

We only need to convert 50 centimeters.

As per mathematical conversions,

1 meter = 100 centimeters

This means that 50 centimeters will be,

100/2 centimeters = 1/2 meters

⇒ 50 centimeters = 0.5 meters

Now, we add all the given numbers,

= 7.5 + 2.25 + 0.5

= 9.75 + 0.5

= 10.25

Thus, the sum is 10.25 meters.

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