Larry's math teacher did not want to announce her age. She told her students if
they could solve the riddle, it would reveal how old she was. Her riddle stated: "The
product of my age and five, then decreased by twenty and finally increased by my
age times negative three is fifty." How old was Larry's math teacher? Hint: Write the
equation first, then solve to find the missing part.

Answer:

516 miles

Step-by-step explanation:

The correct option is that C. Player A is the most consistent, with an IQR of 2.5.

The IQR is a spread metric that is less influenced by extreme values. It is the difference between the third (Q3) and first (Q1) quartiles. The quartiles for Player A are as follows:

Q1 = 2

Q3 = 4

IQR = Q3 - Q1 = 4 - 2 = 2

The quartiles for Player B are as follows:

Q1 = 2

Q3 = 5.5

IQR = Q3 - Q1 = 5.5 - 2 = 3.5

The IQR is regarded a better indicator of variability than the range since it is less impacted by extreme results. As a result, we may infer that the interquartile range is the best measure of variability for this data.

Learn more about IQR on

https://brainly.com/question/28922347

#SPJ1

Answer:

224.4

Step-by-step explanation:

102x2.2=224.4

Could I please have Brainliest.

The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

To know more about Equation visit:

brainly.com/question/28243079

#SPJ1

The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
You can learn more about probability at: brainly.com/question/30034780

#SPJ11

Answer:

$9

Step-by-step explanation:

divide the value by thr total value then multiply by 100. formula=(value/total value)x100

The simplified expression of (7 + 12i) × (7 + 12i) is -95 + 168i.

To perform the indicated operation and simplify, we'll multiply the expression (7 + 12i) by itself

(7 + 12i) × (7 + 12i)

Using the distributive property, we can expand this expression

= 7 × (7 + 12i) + 12i × (7 + 12i)

= 49 + 84i + 84i + 144i²

Since i² is equal to -1, we can simplify further:

= 49 + 168i + 144(-1)

= 49 + 168i - 144

= -95 + 168i

Therefore, the simplified expression is -95 + 168i.

To know more about expression click here :

https://brainly.com/question/30339304

#SPJ4

Answer:How much to pay after getting a 10% discount = $1,350

Step-by-step explanation: Discount simply mean reduction in prices of something in a given percentage of its actual price. So, how much to pay after getting a 10% discount will be = actual price - discountWhere discount = discount percentage * actual price.

Since we know: Actual price of the motorbike = $1,500Discount = 10% of actual priceDiscount = 10% of 1500 = 10/100 * 1500

Discount = 150 how much to pay after getting a 10% discount = 1500 - 150 = $1,350

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

For similar question on cosine rule.

https://brainly.com/question/27613782  

#SPJ8

0.017 m/min is the height of increasing water.

What is the volume of a cylinder?

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material.

Formula to calculate the volume of a cylinder

volume = π r² h

where r is the radius of the cylinder and h is the height.

Here, we have

radius = 6m

dV/dt = 3

We have to find:  dh/dt

volume = π r² h

Differentiating both sides with respect to t, we get

dV/dt = π[2r(dr/dt)h + r²(dh/dt)]

r remains constant (r = 6), dr/dt = 0

So, dV/dt = πr²(dh/dt)

Substituting the values, we get

2 = π(6)²(dh/dt)

dh/dt = 2/(36π)

= 0.017m/min

Hence, 0.017 m/min is the height of increasing water.

To learn more about the volume of a cylinder from the given link

https://brainly.com/question/17000059

#SPJ1

a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

learn more about hypothesis from givn link

https://brainly.com/question/606806

#SPJ11

Given:

The mass function is:

\(m(v)=4.5v\)

where v is the volume in cubic centimeters.

The force function is:

\(F(m)=800m\)

To find:

The composite function can be used to find the force of the object based on its volume.

Solution:

The composite function can be used to find the force of the object based on its volume is:

\(F(m(v))=F(4.5v)\)              \([\because m(v)=4.5v]\)

\(F(m(v))=800(4.5v)\)              \([\because F(m)=800m]\)

\(F(m(v))=3600v\)

Therefore, the correct option is D.

Answer: F(m(v)) = 3,600v

Step-by-step explanation:DDDD

Considering the Empirical Rule, it is found that the distribution of the average July 1st temperature in Pittsburgh, PA, is approximately normal.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

In this problem, the mean and the standard deviation are given as follows:

Within one standard deviation of the mean, the bounds are given as follows:

The percentage of temperatures in this range is:

(4 + 12 + 5)/(1 + 2 + 2 + 4 + 12 + 5 + 2 + 2 + 1) x 100% = 68% (approximately).

Within two standard deviation of the mean, the bounds are given as follows:

Hence the percentage is:

(2 + 2 + 4 + 12 + 5 + 2 + 2)/(1 + 2 + 2 + 4 + 12 + 5 + 2 + 2 + 1) x 100% =94% (approximately)

100% of the measures will be within three standard deviations of the mean. All of the percentages are close to the percentages established by the Empirical Rule, hence it can be said the distribution is normal.

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Answer:

7x ( 103 - 1 )

Step-by-step explanation:

9x^3 + 2x^2 - 5x + 4 - 5 x 3 - 7x + 4

729x + 4x - 5x + 4 - 15 - 7x + 4

729x - 5x - 7x + 4x + 4 + 4 - 15

721x - 7

7x ( 103 - 1 )

160-110=50

50/4=12.5

The electrician charges $12.50 per hour, or $50 for 4 hours.

This is not a function for the fact that 1, 2, 3, and 4 all go to the same value.

The circumference of circle is ,

where r is the radius of circle.

The diamteter of circle is , 69 yards

Convert into radius,

Substitute the radius in the circumference formula.

Hence the circumference of circle is 216.66 yards.

Answer:

$8

Step-by-step explanation:

20% is 1/5, so you can basically divide $40 by 5, which is $8.

Answer:

they are wrong the first one is the B one and the next one is D have a good day.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

Answer:

Let's solve for x.

3x+y=−6

Step 1: Add -y to both sides.

3x + y + −y = −6 + −y

3x = − y − 6

Step 2: Divide both sides by 3.

3x  / 3  =  − y −6 /  3

x =  − 1  / 3 y −2

Answer:

x = − 1  / 3 y −2

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

x = 2 + y/3

Step-by-step explanation:

Add

y

to both sides of the equation.

3 x = 6 + y

Divide each term by

3

and simplify.

Step-by-step explanation:

5x = 35 divide both sides of the equation by 5

5x / 5 = 35 / 5

x=7

Answer: \(12x^{2} -18x-12\)

Step-by-step explanation:

(6x-12)(2x+1)

Foil method

6x*2x

6x*1

-12*2x

-12*1

add them up

\(12x^{2} -18x-12\)

a) A z-score of 2.67 corresponds to a very small probability, indicating that a pregnancy length of 308 days is indeed unusual. b) The probability associated with a z-score of -7.87 using the standard normal distribution table or statistical software.

To find the z-score for a given value, we can use the formula:

z = (x - μ) / σ

where:

x is the given value,

μ is the mean,

σ is the standard deviation,

and z is the z-score.

a) For a pregnancy length of 308 days:

Mean (μ) = 268 days

Standard Deviation (σ) = 15 days

x = 308 days

z = (308 - 268) / 15 = 40 / 15 ≈ 2.67

To determine if this length is unusual, we can compare the z-score to the standard normal distribution table or use statistical software to find the corresponding probability.

b) For a pregnancy length of 150 days:

Mean (μ) = 268 days

Standard Deviation (σ) = 15 days

x = 150 days

z = (150 - 268) / 15 = -118 / 15 ≈ -7.87

Similarly, we can find the probability associated with a z-score of -7.87 using the standard normal distribution table or statistical software. A negative z-score indicates a value below the mean. In this case, a pregnancy length of 150 days would have an extremely low probability, suggesting it is highly unusual and likely indicative of a significant deviation from the norm.

The complete question is:

A woman wrote to Dear Abby and claimed that she gave birth 308 days after a visit from her husband, who was in the Navy. Lengths of pregnancies have a mean of 268 days and a standard deviation of 15 days. Find the z score for 308 days. Is such a length unusual?  

a) What is the probability for this pregnancy?

b) What is the probability for  150 days pregnancy?  Mean = 268, Standard Deviation = 15.

To know more about probability:

https://brainly.com/question/30034780

#SPJ4

The weight of the baby increased by a 20%

We know that the initial weight of the baby is 20 pounds, so that will be our 100%, and we can write:

20lb = 100%

Then the weight is 24 lb, so that will represent another percentage X, we can write:

24lb = X

We can solve this for X, taking the quotient between the relations:

(24lb/20lb)  = X/100%

(24lb/20lb)*100% = X = 120%

So we can see that the weight of the baby increased by a 20%

Learn more about percentages:

https://brainly.com/question/843074

#SPJ1

Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

Learn more about journal click;

https://brainly.com/question/32420859

#SPJ4

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

Learn more about curve here:

https://brainly.com/question/28793630

#SPJ11

Using a linear programming solver, the optimal solution for the objective function is $40,843.00. Therefore, the answer is $40,843.00.

To determine the optimal profit, we need to perform a linear programming optimization using the given information. Let's set up the problem:

Decision Variables:

Let x1 be the number of stoves produced.

Let x2 be the number of washers produced.

Let x3 be the number of electric dryers produced.

Let x4 be the number of gas dryers produced.

Let x5 be the number of refrigerators produced.

Objective Function:

Maximize Profit: Profit = 110x1 + 90x2 + 75x3 + 80x4 + 130x5

Constraints:

Molding/Pressing constraint: 5.5x1 + 5.2x2 + 5.0x3 + 5.1x4 + 7.5x5 <= 4800

Assembly constraint: 4.5x1 + 4.5x2 + 4.0x3 + 3.0x4 + 9.0x5 <= 2400

Packaging constraint: 4.0x1 + 3.0x2 + 2.5x3 + 2.0x4 + 4.0x5 <= 3000

Non-negativity constraint: x1, x2, x3, x4, x5 >= 0

Learn more about linear programming here, https://brainly.com/question/14309521

#SPJ11

Answer:

Step-by-step explanation:

Hence, Option A (-26x² + 56x - 15) is correct.

Hoped this helped.

\(BrainiacUser1357\)

The length of one side of the box is 10 inches.

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = \(\sqrt[3]{1000}\)

Therefore, each side is 10 inches.

Learn more about the volume of a cube here:

https://brainly.com/question/26136041

#SPJ1

Answer:

I think it's 6 or 0.6

Answer:

\(20 {e}^{9} {f}^{11} \)

Show Work:

\(5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} \)

\(5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1\)

\(5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} \)

\(20 {e}^{9} {f}^{11} \)

\(5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} \)

Answer:

\(20 {e}^{9} {f}^{11} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.