If the confidence levels were 99.5% rather than 99.9% would the margin of error be larger or smaller than the result in part (a) ? Explain. The margin of error would be ( larger or smaller ) , since ( an increase or a decrease ) in the confidence level will ( decrease or increase ) the critical value z a/2.

Given that we have to find the probability of each of the following when we roll a pair of fair dice:

Probability of getting a sum of 1 = 0

Probability of getting a sum of 5= {4}/{36}=0.1111

Probability of getting a sum of 12= {1}/{36}= 0.0278

Explanation: When we roll a pair of dice, there are 36 possible outcomes or events. When we roll the dice, the number on the dice will be an integer from 1 to 6.

The following table represents the possible outcome when we roll a pair of dice.

There is only one way to obtain the sum of 1, i.e., when both dice show 1. As there is only one way, the probability is 0.

There are 4 possible ways to obtain the sum of 5. They are (1,4),(2,3),(3,2),(4,1). The probability is 4/36.

There is only one way to obtain the sum of 12, i.e., when both dice show 6. As there is only one way, the probability is 1/36.

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If -4 is a zero with multiplicity 1, then (x + 4) is a factor of the polynomial. Similarly, if 1 is a zero with multiplicity 2, then (x - 1)^2 is a factor of the polynomial. Therefore, we can write the polynomial in factored form as:

f(x) = a(x + 4)(x - 1)^2

where "a" is a constant that we need to determine.

To find "a", we use the fact that f(0) = -12. Substituting x = 0 into the equation above, we get:

f(0) = a(0 + 4)(0 - 1)^2

-12 = -4a

Solving for "a", we get:

a = 3

Therefore, the polynomial is:

f(x) = 3(x + 4)(x - 1)^2

Note that this polynomial has a zero at x = -4 (with multiplicity 1), a zero at x = 1 (with multiplicity 2), and f(0) = -12.

Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

The study outlined above is an experiment. In the study, two firefly colonies are set up in a laboratory environment and are subjected to different conditions. Therefore, it is an experimental design as the researcher is actively manipulating the independent variable which is the exposure of fireflies to light.

An observational study would involve recording data on a subject without manipulating their environment or situation. An observational study would have a less controlled environment in which the researcher does not interfere with the study subjects. There is a control group and a treatment group. The control group is the colony that is exposed to normal daylight/darkness conditions. The treatment group is the colony that is exposed to continuous light. The control group is used to provide a baseline measure or standard of comparison for the experiment.

It provides a way to compare the difference between the treatment group and the control group. Thus, the control group is the normal light/darkness colony, and the treatment group is the continuous light colony.

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The probability of a family having three males and two females can be calculated using the concept of binomial probability.

In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.

There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").

The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.

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such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

a) The optimal size of the production run is approximately 39, units (rounded to the nearest whole number).

b) The average holding cost per year is approximately $1,755.00 (rounded to two decimal places).

c) The average setup cost per year is approximately $24,300.00 (rounded to two decimal places).

d) The total cost per year, including the cost of the lights, is approximately $43,071.00 (rounded to two decimal places).

a) To find the optimal size of the production run, we can use the economic order quantity (EOQ) formula. The EOQ formula is given by:

EOQ = √[(2 * D * S) / H]

Where:

D = Annual demand = 11,700 units

S = Setup cost per production run = $81

H = Holding cost per unit per year = $0.15

Plugging in the values, we have:

EOQ = √[(2 * 11,700 * 81) / 0.15]

= √(189,540,000 / 0.15)

= √1,263,600,000

≈ 39,878.69

Since the optimal size should be rounded to the nearest whole number, the optimal size of the production run is approximately 39, units.

b) The average holding cost per year can be calculated by multiplying the average inventory level by the holding cost per unit per year. The average inventory level can be calculated as half of the production run size (EOQ/2). Therefore:

Average holding cost per year = (EOQ/2) * H

= (39,878.69/2) * 0.15

≈ 2,981.43 * 0.15

≈ $447.22

So, the average holding cost per year is approximately $447.22 (rounded to two decimal places).

c) The average setup cost per year can be calculated by dividing the total setup cost per year by the number of production runs per year. The number of production runs per year is given by:

Number of production runs per year = D / EOQ

= 11,700 / 39,878.69

≈ 0.2935

Total setup cost per year = S * Number of production runs per year

= 81 * 0.2935

≈ $23.70

Therefore, the average setup cost per year is approximately $23.70 (rounded to two decimal places).

d) The total cost per year, including the cost of the lights, can be calculated by summing the annual production cost, annual holding cost, and annual setup cost. The annual production cost is given by:

Annual production cost = D * Cost per light

= 11,700 * 1

= $11,700

Total cost per year = Annual production cost + Average holding cost per year + Average setup cost per year

= $11,700 + $447.22 + $23.70

≈ $12,170.92

Therefore, the total cost per year, including the cost of the lights, is approximately $12,170.92 (rounded to two decimal places).

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Answer:

0.5 cups

Step-by-step explanation:

The component form of vector v is < -4, 10 >, option D is correct.

Vector v with initial point at 6 comma negative 2 and terminal point at 2 comma 8

We have to find the component form of v?

To find the component form of vector v, we subtract the initial point from the terminal point:

<2, 8> - <6, -2>

= <2-6, 8-(-2)>

= <-4, 10>

Therefore, the component form of vector v is:

< -4, 10 >

Hence, vector v equals open angle bracket negative 4 comma 10 close angle bracket.

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The time it takes for Mrs. Jardine to bake more cookies compared to Mrs. How is of 6 hours.

The linear functions in this problem are defined in the slope-intercept format, as follows:

y = mx + b.

In which:

Miss Hoy can bake two dozen cookies every four hours. Mrs. Jardine can bake one dozen cookies every one hour, then the slopes are given as follows:

Assuming Mrs. Hoy gets a 36 cookie head start, the functions are given as follows:

Mrs. Jardine will have baked more cookies when:

12x > 6x + 36

6x > 36

x > 36/6

x > 6 hours.

Hence after 6 hours.

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Answer:C

Step-by-step explanation:

Answer:

A) 252pi

Step-by-step explanation:

The volume of a sphere is \(\frac{4}{3}\pi r^{3}\)

First, let's find the diameter of the large sphere.

If D=12, then R=6

\(\frac{4}{3}\pi 6^{3}=288\pi\)

Then, we need to find the volume of the smaller sphere

\(\frac{4}{3}\pi 3^{3}=36\pi\)

\(288\pi -36\pi =252\pi\)

Hope this helps :)

\(-noorati\)

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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You put C's value into your calculator, then push the TAN button to get your answer. Normally you round to 4 digits past zero. You didn't include any values so I can't give you an exact answer. Hope that helps!

Answer:

Step-by-step explanation:

To determine the approximate value of tan C, we need to know the value of angle C. If we have that information, we can use a calculator or a trigonometric table to find the value of the tangent function for that angle.

If angle C is not given, we cannot determine the value of tan C.

The solution to  the Cubic equation 5/(3b³ -2b² - 5) = 2/(b³ - 2) are b = 0 and b =4

Given Cubic equation is 5/(3b³ -2b² - 5) = 2/(b³ - 2)

5×(b³ - 2)=2×(3b³ -2b² - 5)

5b³  - 10 = 6b³ - 4b²  - 10

5b³  - 6b³ = - 4b²

-b³ = - 4b²

b³- 4b²= 0

b²(b - 4) = 0

b²= 0 and b - 4 = 0

So we  get b = 0 and b = 4

The solution to the Cubic equation 5/(3b3 -2b2 - 5) = 2/(b3 - 2) are b = 0 and b = 4.

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Answer:

Step-by-step explanation:

The probability that the duration of rainfall at least 2 hours is 0.473,  at most 3 hours is 0.683, and between 2 and 3 hours is 0.156.

1. Find the rate parameter (λ):
λ = 1/2.725 ≈ 0.367
2. To find P(X ≥ 2):

P(X ≥ 2) = 1 - P(X < 2).

The (pdf) is:
P(X < x) = 1 - e^(-λx)
P(X < 2) = 1 - e^(-0.367 * 2) ≈ 0.527
P(X ≥ 2) = 1 - 0.527 ≈ 0.473
3. To find P(X ≤ 3):
P(X ≤ 3) = 1 - e^(-0.367 * 3) ≈ 0.683
4. To find P(2 ≤ X ≤ 3):
P(2 ≤ X ≤ 3) = P(X ≤ 3) - P(X ≤ 2) = 0.683 - 0.527 ≈ 0.156
The probability that  duration  at least 2 hours is 0.473,  at most 3 hours is 0.683, and between 2 and 3 hours is 0.156.

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The difference in elevation between the dead sea and the mount everest is; 9277 m

We are told that the dead sea in the Middle East is 429 m below sea level.

Now, since it is below sea level, the elevation will be expressed as negative. Thus, it can be expressed as -429m.

The peak of Mount Everest in Asia is 8848 m above sea level. Since it is above sea level, the elevation can be expressed as positive.

Thus;

Difference in elevation = 8848 - (-429)

= 8848 + 429

= 9277 m

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Answer:

7% of $33.00 is $2.31

total $35.31

18% of $35.31 is $6.35

The total with tax and tip is $41.66

Brainly plz :))

The total cost of the meal after tax and tip will be $41.67.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

This feast costs $33.00. A 7% deals charge is applied, trailed by a programmed tip of 18%.

The cost after tax is given as,

⇒ $33 x 1.07

⇒ $35.31

The cost after the tip is given as,

⇒ $35.31 x 1.18

⇒ $41.67

The total cost of the meal after tax and tip will be $41.67.

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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The way we will write 1 in = 2.53 cm as a function is; f(x) = 2.54x cm

We are given the statement;

1 inches = 2.54cm

Now, if we have say 3 inches to convert to cm, it mean that we will have;

3 × 2.5 = 7.62 cm

Now, as a function if we have x inches to convert to cm, it means that the function will be;

f(x) = 2.54x cm

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Answer:

2/7 or 29%

Step-by-step explanation:

you add all the numbers than you put the blue marble on top and there it is.

Answer:

2/7

Step-by-step explanation:

Hello there.

1. First, you would add all the numbers up to get the total.

3 + 2 + 2 = 7 total marbles

2. Of those 7 marbles, 2 are blue. This would be 2/7 in fraction form.

Hence, there is a 2 in 7 chance that Sandra will choose a blue marble from the bag.

Hope this helps.

- Angelo

For the given function y = -3x; 4 ≤ x ≤ 3 a table is constructed as  

x | y-4 | 12 | 36 | 59 | 83 | 106 | 130 | 3 | -9 | -12 | -36 | -39 | -63 | -66 |

To construct a table of values of a given function, substitute different values of x in the function and calculate the corresponding values of y. For the function, y = -3x and for the range -4 ≤ x ≤ 3,

we can construct a table as follows:

x | y-4 | 12 | 36 | 59 | 83 | 106 | 130 | 3 | -9 | -12 | -36 | -39 | -63 | -66 |

The table shows that

when  x = -4, y = 12;

when x = -3, y = 9;

when x = -2, y = 6;

when x = -1, y = 3;

when x = 0, y = 0;

when x = 1, y = -3;

when x = 2, y = -6;

when x = 3, y = -9;

For the given function y = -3x, the table of values is shown above.

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Given that

The point is (-2, 4) and the slope is 3.

And we have to find the point-slope equation for this data.

Explanation -

First, we will write the formula to find the point-slope equation and then we will substitute the values to find the required equation.

The general point-slope equation is given as

We have slope, m = 3 and point (x1, y1) = (-2, 4)

Hence the required equation is

So the correct option is B.

Final answer -

Answero

Step-by-step explanation:

i dont know

Let's review the concept of BODMAS.

BODMAS is the correct order we use solve a mathematical problem.

Now, let's solve the given expression using BODMAS.

Hence, the solution is 24/25.

The total number of outcomes, if one picks a month of a year, is 12 and tosses a coin is 2.

The total number of outcomes refers to the possible events that can occur if an event takes place. These are helpful in calculating probability.

The events that can occur if one picks a month of the year is he or she picks one of the following months: January, February, March, April, May, June, July, August, September, October, November, and December. Thus, the number of outcomes possible is 12.

The events that can occur if one tosses is he or she gets the following side of the coin: Heads or Tails. Thus, the number of outcomes possible is 2.

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Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

3x(x+4)

Now, the terms outside the brackets need to multiplied inside the bracket:

\(3x^{2} +12x\)

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:

3*5*5+12*5

75+60

135

Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

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Answer:

4.5

Step-by-step explanation:

Use sin64=x/5 and simplify to

5sin64 and plug it into a calculator to get 4.49 which is 4.5