Let the mean of the population be 38 instances of from 6" - 9" hatchings per nest, and let the standard deviation of the mean be 3. What sample mean would have a confidence level of 95% or a 2.5% margin of error?

Answer:

I think it has B option

Step-by-step explanation:

the graph  shows that  line pass through positive x-axis and negative y-axis so the answer of y is -tive and x is positive

if x=0

y=-2

if y =0

x=2/4=1/2

Answer:

Step-by-step explanation:

Not 6 on all rolls in the diagram = 4/5

6 on all rolls in the diagram is 1/5

To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%

1) The completed tree diagram is attached

2) The probability of rolling two sixes as worked out from the tree diagram is; P(6 | 6) = ¹/₂₅

Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;

P(not 6) = 1 - 1/5

P(not 6) = 4/5

A) Please find attached the completed tree diagram

B) First Roll;

P(6) = ¹/₅

P(not 6) = ⁴/₅

Second Roll;

Let's begin with the P(6) Section;

P(6 | 6) =  ¹/₅ × ¹/₅ = ¹/₂₅

P(6 | not 6) = ¹/₅ × ⁴/₅ = ⁴/₂₅

Let us now solve for the P(not 6) section;

P(not 6 | 6) = ⁴/₅ × ¹/₅ = ⁴/₂₅

P(not 6 | not 6) = ⁴/₅ × ⁴/₅ = ¹⁶/₂₅

Now, since we are looking for the probability of getting two sixes, it is gotten from the above; P(6 | 6) =  ¹/₅ × ¹/₅ = ¹/₂₅

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Answer:

The maximum power available to the motor is 2.4 MW

Step-by-step explanation:

The power of  a circuit that has a current, I, and a voltage, V, is given by the relation

Electrical power, P = I²R = I× I×R = I × V

Therefore given that the parameters are;

Voltage in the d.c. power supply = 600 V d.c.

Maximum current in the motor = 4000 A

Therefore, we can find the power as follows;

Maximum motor power = Voltage × Current

The maximum motor power, P available =  600 V × 4000 A = 2400000 W which on converting to MW becomes;

The maximum power available to the motor , P = 2.4 MW.

Answer: f²+g²=h²

Step-by-step explanation:

In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.

Answer:

Just graph y=x+2

One of the points will be (0,2) because that is a y-intercept. The other two will be in the graph, all you have to do is look at points on the line.

Step-by-step explanation:

Answer:

0,2

1,3

2,4

Step-by-step explanation:

All you would do is substitute the x point that you wish to find then add 2 to get the y point.

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{48}{60}[/tex]

To simplify find the highest common factor of 48 and 60, that is 12

Divide both values by 12

[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form

The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator

Answer:

The data are at the nominal level of measurement

Step-by-step explanation:

Nominal Level of measurement is irrespective of orders or classes. In this survey we do not find out which game is ranked the most favorite.

Nominal; level is used just for counting.  Its cannot be used as a measure or for quantitative analysis.

Such data cannot give the mean of the sample. And the two means cannot be compared.

In the given question it only gives the number of likes  nothing more. The average cannot be calculated for such data.

Answer:

see below

Step-by-step explanation:

The product of two negative integers is positive

True    -*- = +

The product of two integers with different signs is positive

False - *+ = -

Two numbers are the same sign then the product is positive

True -*- = +   and +*+ = +

The product of a positive and a negative is negative

True - * + = -  and + * - = -

The signs of two integers are different, then the product is positive.

False  - * + = -  and + * - = -

Answer:

acd

Step-by-step explanation:

Answer:

The answer is option D.

y = - 7x² - 1

It's maximum is ( 0 , - 1)

Hope this helps you

Linear functions never have maxima and minima, so a) is discarded.

In the options there are quadratic functions, they can present either a maximum or a minimum.

You can know instantly by seeing the sign of the variable [tex]{x}^{2}[/tex], if positive the parabola opens up, then it will have a minimum, if negative the parabola opens down, having a maximum.

[tex] \mathbb{ANSWER} \rightarrow \boxed{ \boxed{y = - {7x}^{2} - 1 }}[/tex]

Answer:

183.26cm

Step-by-step explanation:

Radius of the Circle = 50cm

Let the point be at A

It turns forward 210 degrees to B.

Therefore, the central angle subtended by the arc AB = 210 degrees

The movement of the point from A to B will be the length of the arc AB.

[tex]\text{Length of an arc }=\dfrac{\theta}{360} \times 2\pi r \\$Therefore, the distance moved forward$\\=\dfrac{210}{360} \times 2\times\pi \times 50\\\\=183.26$ cm[/tex]

Answer:

C. 21 m

Step-by-step explanation:

As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:

tan40° = h/25

25tan40° = h

h = 20.9775

h ≈ 21 m

Let S denote the sum

[tex]1\cdot3+2\cdot4+3\cdot5+\cdots+n\cdot(n+2)[/tex]

We can condense this to sigma notation:

[tex]S=\displaystyle\sum_{k=1}^nk(k+2)[/tex]

Expand the summand:

[tex]S=\displaystyle\sum_{k=1}^nk^2+2\sum_{k=1}^nk[/tex]

Recall the Faulhaber formulas,

[tex]\displaystyle\sum_{k=1}^nk=\frac{n(n+1)}2[/tex]

[tex]\displaystyle\sum_{k=1}^nk^2=\frac{n(n+1)(2n+1)}6[/tex]

So we have

[tex]S=\dfrac{n(n+1)(2n+1)}6+n(n+1)=\boxed{\dfrac{n(n+1)(2n+7)}6}[/tex]

Answer:

x² + 18x + 81 = 0

Step-by-step explanation:

For the zero to -9, the equation has to be x + 9.

x = -9

x + 9 = 0

Since the only zero is -9, square the equation.  Expand to get the function

(x + 9)² = 0

x² + 18x + 81 = 0

The  quadratic function f whose only zero is -9 should be [tex]x^2 + 18x + 81 = 0[/tex]

A quadratic function should be the one of the form f(x) [tex]= ax^2 + bx + c[/tex] , where a, b, and c are numbered with a not equal to zero. The graph of a quadratic function is a curve known as a parabola.

So, For the zero to -9, the equation has to be x + 9.

Now

x = -9

x + 9 = 0

So it can be like (x + 9)² = 0

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Answer:

the hot-holding temperature threshold is 135 degrees Fahrenheit

Step-by-step explanation:

the hot-holding temperature threshold is 135 degrees Fahrenheit

The correct option is D. 135°F (57°C)

We know that,

Bacteria grow most rapidly in the range of temperatures between 40 °F and 140 °F, doubling in number in as little as 20 minutes.

This range of temperatures is often called the “Danger Zone”. Never leave food out of refrigeration over 2 hours.

As Per food safety regulations, the hot-holding temperature threshold is 135 degrees Fahrenheit. Hot foods can be at or above this temperature to be safe for consumption.

If a heated food falls below this threshold, it is considered a danger zone temperature.

Hence the minimum hot-holding temperature requirement for pizza is 135°F (57°C).

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Answer:

The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Step-by-step explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]

The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]

Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Answer:

Standard form: [tex]x^3+3x^2-x-3[/tex]

Leading coefficient: 1

Step-by-step explanation:

[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]

The leading coefficient is 1 because the leading term is [tex]x^3[/tex].

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 10, thus

sum = 180° × 8 = 1440°

1 interior angle = 1440° ÷ 10 = 144°

Answer:

k=4/5

Step-by-step explanation:

(-k+2)/(1-2k) = -2   ( using the slope formula (y2-y1)/(x2-x1)  )

-k+2 = -2 (1-2k)

-k+2 = -2 + 4k

2= -2 +5k

4 = 5k

k=4/5

Answer:

Step-by-step explanation:

To find k use the formula for finding the slope of a line and equate it to the slope which is - 2

So we have

(2k, -2) and (1, - k)

[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]

Cross multiply

That's

- 2( 1 - 2k ) = - k + 2

Expand and simplify

- 2 + 4k = - k + 2

Group like terms

4k + k = 2 + 2

5k = 4

Divide both sides by 5

k = 4/5

Hope this helps you

Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Answer:

Step-by-step explanation:

We're going to leave the right side alone and work on the left side. In other words we are going to use a series of substitutions for these trig idenitites and get the left side manipulated to look like the right side.

Begin with the fact that sin(2x) = 2sin(x)cos(x) and make that first substitution:

2sin(x)cos(x) - tan(x) = right side

Now use the fact that the tangent is the same as the sin over the cos:

[tex]2sin(x)cos(x)-\frac{sin(x)}{cos(x)}[/tex] = right side

Now find a common denominator of cos(x) by multiplying the 2sin(x)cos(x) by cos(x) and writing the whole mess over that common denominator:

[tex]\frac{2sin(x)cos^2(x)-sin(x)}{cos(x)}[/tex] = right side

Now factor out a sin(x):

[tex]\frac{sin(x)(2cos^2(x)-1)}{cos(x)}[/tex] = right side

If we "split" that up and simplify at the same time, we'll see that sin(x) ovr cos(x) is the same as the tan(x), and that 2cos^2 - 1 is the same as cos(2x):

[tex]\frac{sin(x)}{cos(x)}(2cos^2(x)-1)=tan(x)cos(2x)[/tex] and that the left side now is the same as the right side. You MUST learn to recongize these identities.  I'll attach a copy that I made and give to my pre-calculus and calculus classes every year, if I am able to.

Answer:

SSS Postulate

Step-by-step explanation:

Answer:

{(-8,-8), (9, 9),(4,5), (4,0)}

Step-by-step explanation:

A relation that is a function does not have any repeating x-values.

A function has one input assigned to exactly one output.

The x-value of 4 repeats in the top set:

{(-8,-8), (9, 9),(4,5), (4,0)}

Therefore, the set is not a function.

Brainilest Appreciated.

Answer:

i think 38/60? simplified 19/30, im not sure..?

Step-by-step explanation:

20 percent of 60 is 12

1/6 is 10

12 plus 10 is 22

60- 22 is 38

Answer:

Expected value or mean = [tex]E(x) = \mu = 7.42[/tex]

Variance = [tex]\sigma^2 = 6.283[/tex]

Standard deviation = [tex]\sigma = 2.506[/tex]

Step-by-step explanation:

We are given the following information:

x       |      P(x)

6       |     0.64

8       |     0.14

9       |     0.14

15     |     0.08

The expected value or mean is given by

[tex]E(x) = \mu = x \cdot P(x) \\\\E(x) = \mu = 6 \cdot 0.64 + 8 \cdot 0.14 + 9 \cdot 0.14 + 15 \cdot 0.08 \\\\E(x) = \mu = 7.42[/tex]

The variance is given by

[tex]\sigma^2 = \sum (x - \mu)^2 \cdot p(x)[/tex]

[tex]\sigma^2 = (6 - 7.42)^2 \cdot 0.64 + (8 - 7.42)^2 \cdot 0.14 + (9 - 7.42)^2 \cdot 0.14 + (15 - 7.42)^2 \cdot 0.08 \\\\\sigma^2 = 1.291 + 0.0471 + 0.349 + 4.596 \\\\\sigma^2 = 6.283[/tex]

The standard deviation is given by

[tex]\sigma = \sqrt{\sum (x - \mu)^2 \cdot p(x)} \\\\\sigma = \sqrt{\sigma^2} \\\\\sigma = \sqrt{6.283} \\\\\sigma = 2.506[/tex]

Therefore,

Expected value or mean = [tex]E(x) = \mu = 7.42[/tex]

Variance = [tex]\sigma^2 = 6.283[/tex]

Standard deviation = [tex]\sigma = 2.506[/tex]

Answer:

BC=10 cm BCD= 90 degrees EB= 5 cm

Answer:

The sentences are

) It was a difficult moment, but I did what seemed right, which was to say, "Of course not," and then to take her onto my lap and hold her for a while.

2) They would discuss their experiences right up to the time of battle and then suddenly they wouldn't talk anymore

Step-by-step explanation:

Answer:  1.  They would discuss their experiences right up to the time of battle and then suddenly they wouldn't talk anymore

2.  It was thought that they had seen or done was so horrible.....

Step-by-step explanation:  I just took the test on Plato and these were the correct answers

Answer:

  see below

Step-by-step explanation:

The premium is your cost for the insurance, paid to the insurance company.

The deductible is your cost for a claim, paid to settle your liability.

The limit is the maximum the insurance will pay for a given incident.

Answer:

x=2/5 y−2

Step-by-step explanation:

Answer:

x-intercepts = (-2,0)

y-intercepts = (0,5)

Step-by-step explanation:

First, make the equation into slope-intercept form. (y=mx+b)

y=5/2x+5

b= the y-intercept so y-intercept = 5.

If you graph this line, you can see that the x-intercept = -2.

Answer:

Factor (a+3)2−a(a+3)

3a+9

=3(a+3)

Answer:

3(a+3)

I hope this help :)

Answer:

(a+3)(3)

Step-by-step explanation:

(a+3)^2-a(a+3)

(a+3)(a+3)-a(a+3)

Factor (a+3)

(a+3)(a+3-a)

(a+3)(3)

Answer:

Step-by-step explanation:

To find the common ratio of the sequence divide the next term by the previous term

That's

- 2 / 6 = - 1/3

2/3 ÷ -2 = 2/3 × -1/2 = - 1/3

Hence

The common ratio is - 1/3

Hope this helps you