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To determine the minimum weight of a packet of candy with a z-score of -0.6, we need to use the formula:

z = (x - μ) / σ

where:

z = -0.6 (given)

μ = 72g (given)

σ = sqrt(16g) = 4g (since variance = standard deviation squared)

Substituting the values in the formula, we get:

-0.6 = (x - 72) / 4

Multiplying both sides by 4, we get:

-2.4 = x - 72

Adding 72 to both sides, we get:

x = 69.6g

Therefore, the minimum weight of a packet of candy with a z-score of -0.6 is approximately 69.6g (rounded to the nearest tenth).

Answer:

Fred is 6

Jimmy is 17

Step-by-step explanation:

Jimmy's age =2x +5

Fred's age =x

x+2x+5=23

3x=23-5

3x=18

x=6

Jimmy's age =2(6)+5=17

Fred is 6

I think it helps to look at an example.

Let's say we had the set {1,2,3,4,55}

The median is the middle most number. In this case it would be 3. There are the same number of values on either side of 3.

The mean is found by adding up the numbers and then dividing by 5 (which is the number of values). The mean is (1+2+3+4+55)/5 = 13

Notice that the median (3) is much closer to the main cluster {1,2,3,4}; whereas the mean (13) is trying its best to be somewhere between that main cluster and the outlier of 55. The mean is pulled by the outlier as if it was a gravitational or magnetic pull.

As such, the mean is a bad measure of center when outliers are present.  The larger the outlier, the worse the representation. This is why home prices for instance rely on the median. Multi-million dollar mansions greatly skew the mean housing price to be (much) larger than it should be.

If there aren't any outliers, then the mean is a better measure of center because it involves each item weighing in.

Answer:

Ask your math teacher, he's a nice guy and would like to help you.

Step-by-step explanation:

-Find his email on course home page

-Compose new email

- Ask your question or come to a help session

Answer:

There are less yellow marbles than red

:)

Step-by-step explanation:

Answer:

There are less yellow marbles than red marbles.

Step-by-step explanation:

Unionville's statue should be 30 feet tall.

A scale factor is a ratio that represents the relationship between corresponding measurements on two similar figures. It is usually expressed as a fraction or decimal.

For example, if you have two similar rectangles, one with dimensions 4×6 and the other with dimensions 8×12, the scale factor between them would be:

8/4 = 2 and 12/6 = 2

Here we have

The Statue of Liberty is about 300 feet tall and about 30 feet wide.

The town of Unionville is building a smaller model for their Fourth of July celebration. Unionville's statue will be 3 feet wide.

To determine the height of Unionville's statue, use the ratio of the width of the two statues i.e scale factor, and apply it to the height of the Statue of Liberty.

The scale factor for the dimensions of the statute

= Ratio of widths

= Width of model figure/ Width of the original statue  

= 3 feet / 30 feet = 0.1

So, the height of Unionville's statue should be:

0.1 x 300 feet = 30 feet

Therefore,

Unionville's statue should be 30 feet tall.

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Answer:

1

4

5

Step-by-step explanation:

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r = ln[lambda] = ln[Nt+1/N t] = instantaneous rate of increase; lambda = er , where e = 2.71828 (= natural log or log to the base e).

λ is a constant whose value is determined by the per capita birth rate minus the per capita death rate over discrete time periods.

Lambda is called the finite population growth rate that gives the proportional change in. population size from one time period to the next: λ = Nt+1.

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Step-by-step explanation

x^2 + 5x = -2

x^2 + 5x + 2 = 0

We need to use the quadratic formula.

In the formula, a = 1, b = 5 and c = 2.

See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.

Based on the given information,

only one triangle is possible.

The correct option is C.

It is a triangle with constant angles of 30, 60, and 90. This triangle is always a right triangle, as one of the angles is 90 degrees. Thus, a right-angled triangle is formed by these angles. Additionally, the right angle is equal to the sum of two acute angles, which will have a 1: 2 or 2: 1 ratio.

Given:

The angle measure of B = π/6 = 30°.

a = 20, and b = 10

That means,

m∠A = 2∠B = 2 x 30 = 60°.

Now, there is only one possibility of a triangle, and that triangle is 30-60-90 triangle.

Hence, only one triangle is possible.

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Answer:

60 mintues = 1 hour

60 seconds =1 mintues

Step-by-step explanation:

Answer:

To convert time to just hours:

2 hours is 2 hours * (1 hour/ 1 hour) = 2 hours

45 minutes is 45 minutes * (1 hour / 60 minutes) = 45/60 hours = 0.75 hours

45 seconds is 45 seconds * (1 hour / 3600 seconds) = 45/3600 hours = 0.0125 hours

Adding them all together we have 2 hours + 0.75 hours + 0.0125 hours = 2.7625 hours

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

To complete the probability distribution table, we need to determine the probability of selecting each possible value of the random variable x.

Since there are 10 correctly calibrated speedometers and 2 that are not, there are a total of 12 speedometers, and the probability of selecting a speedometer that is not correctly calibrated on the first draw is 2/12 = 1/6. After the first draw, there are 11 speedometers remaining, including one that is not calibrated, so the probability of selecting a second speedometer that is not calibrated is 1/11. Finally, on the third draw, there are 10 speedometers remaining, including the one that is not calibrated, so the probability of selecting a third speedometer that is not calibrated is 1/10.

Using these probabilities, we can complete the probability distribution table as follows:

x P(x)

0 (10/12) * (9/11) * (8/10) = 0.60

1 3 * (1/6) * (5/11) * (8/10) = 0.36

2 3 * (1/6) * (1/11) * (8/10) = 0.02

3 (1/6) * (1/11) * (2/10) = 0.00

To find the mean of this probability distribution, we can use the formula:

mean = Σ(x * P(x))

where Σ denotes a sum over all possible values of x.

Using the values from the probability distribution table, we have:

mean = (0 * 0.60) + (1 * 0.36) + (2 * 0.02) + (3 * 0.00) = 0.40

Therefore, the mean of this probability distribution is 0.40.

Part a: total discounted rental cost  for the boat  = $690.

Part b: cost per team member = $32.34

A two-variable linear equation can be thought of as a linear relationship involving x and y, or two variables whose values rely on each other (often y and x) (usually x).

From the graph:

Part a: Rental cost for boat for 3 days is 180.

For 1 day = 180/3 = 60.

So,

Total cost for the team to rent a boat for 12 days:

total discounted rental cost  = 12*60 - 12/4 *10

total discounted rental cost = $720 - $30

total discounted rental cost  = $690

Part  b:  cost per team member

total discounted rental cost = 35% paid by coach.

remaining 75% is equally  divided in all 16 team members.

Then,

cost per team member = 0.75*690 / 16

cost per team member = $32.34

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Complete question

The boat rental company gave a rowing team a discount of $10 off for every

4 days of rental. The team rented a boat for 12 days. Their coach paid 35%

of the total discounted rental cost. The remaining rental cost was divided

equally among the 16 team members.

The table for the data is shown.

A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).

In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Therefore, the required square root function is given by;

f(x) = √(4x + 8)

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Answer:

give more information

Step-by-step explanation:

sorry

Answer:

13.1

Step-by-step explanation:

Answer:

Around 13 ounces

Step-by-step explanation:

Answer:

the answer is in the picture

Answer:

\(\frac{z^{2} }{25}\)

Step-by-step explanation:

In order to write the expression in the form of \(\frac{z^{2} }{k}\) we simply have to open up the brackets. We do that the following way...

\((\frac{z}{5} )^{2} =( \frac{z}{5} )( \frac{z}{5}) = \frac{z^{2} }{25}\)

Answer:

Step-by-step explanation:

C

Answer:

A, C, and B

Step-by-step explanation:

Answer:

a) The percentage that the student does not read any paper is  10%  

b) The percentage that the student reads the local paper is 40%

c) the percentage that the student reads exactly two papers is 23%

d) the percentage that the student reads at least two papers is 25%

Step-by-step explanation:

Given the data in the question;

as illustrated in the Venn diagram below,

a)The student does not read any paper;

The percentage that the student does not read any paper will be;

100% - 90% = 10%

Therefore, The percentage that the student does not read any paper is  10%  

b) The percentage that the student reads the local paper;

from the Venn diagram below;

⇒ ( 20 + 15 + 3 + 2 )%    

= 40%

Therefore, The percentage that the student reads the local paper is 40%

c) The percentage that the student reads exactly two papers

⇒ ( 15 + 5 + 3 )%

= 23%

Therefore, the percentage that the student reads exactly two papers is 23%

d) The percentage that the student reads at least two papers;

⇒( 15 + 5 + 3 + 2 )%      

= 25%

Therefore, the percentage that the student reads at least two papers is 25%

Answer:

$3.50

Explanation:

In a standard die, the total number of possible outcomes = 6.

To find the expected winnings, multiply each payoff by its probability and sum it up:

Simplify:

The expected winnings for this game are $3.50 (to the nearest hundredth).

If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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Answer:

4/8.

Step-by-step explanation:

4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.

Therefore, the height of the kite from the ground is 184.97 ft (rounded to 3 decimal places).

Let us solve the given problem,Given data,The string of the kite is 375 ft longThe angle made by the kite with a horizontal line is 50°The bottom end of the string is 5.5 ft off the groundLet's assume the kite is at point A and the bottom end of the string is at point B.

AB represents the string of the kite and AC is perpendicular to the ground.So, we have to find the height of point A from the ground.To solve this problem, we have to break the given angle of 50° into two parts such that we get a right-angled triangle.

This is because we need to use trigonometric ratios in order to solve the problem.

As per the given figure, we can see that ∠EAB = 90° - ∠BAD = 90° - (50°/2) = 65°Now, we can calculate the height of point A from point C.So, in right-angled ΔABC,

an 65° = height AB / 5.5 ft

=> AB = 5.5 tan 65° = 20.04 ft

Now, we can find the height of point A by calculating BC.In right-angled ΔABC, cos 65° = BC / 375 ft

=> BC = 375 cos 65° = 164.93 ft

So, the height of the kite from the ground is given as:height of point A = height of point C + height AB=> height of point

A = 0 + 20.04 ft + 164.93 ft= 184.97 ft

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The equation for the function shown in the graph is y = sin(x + π/2).

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Given a graph of a sine function,

which shows the amplitude of 1,

and value of x-intercept is π/2, when y is 0, x is π/2

the equation for sine is

y = a sin(bx)

where a is the amplitude = 1

b is π

y = sin(x),

but given x-intercept π/2,

so, y = sin(x + π/2)

Hence option A is correct.

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Answer:

y=7

Step-by-step explanation:

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

Answer:

A : 3080

Step-by-step explanation:

In order to find volume, you have to multiply all the 3 sides. (Multiply height, length and width)

22 x 10 = 220.

220 x 14 = 3080.

Therefore the volume of the water is 3080 in.

Hope this helps!