A population of measurements is approximately normal with a mean of 95 and a standard deviation of 15. The percentage of measurements that are 124. 4 or higher is.

Answer:

Step-by-step explanation:

a. (I) x = 65

(ii) vertically opposite angles are equal.

b. (i) 71 degrees

(ii) alternate interior angles are equal

c. (i) z = 180 - 71 = 109 degrees

(ii) angles on a line add up to 180 degrees

Answer:

x = 65°, y = 71°, z = 44°

Step-by-step explanation:

x and 65 are vertical angles and congruent, thus

x = 65°

y and 71 are alternate angles and congruent, thus

y = 71°

The sum of the 3 angles in a triangle = 180°, thus

z = 180° - (65 + 71)° = 180° - 136° = 44°

Hence

x = 65°, y = 71° and z = 44°

The strain that exists under a maximum-stress condition is 9.27 × 10^-3.

Given data: Minimum cross-sectional area of femur= 4.4×10^-4 m^2

Compressional force to fracture= 6.100×10^4 N

We need to find the maximum stress that this bone can withstand.

Maximum stress = compressive force / minimum cross-sectional area

                            = 6.1×10^4 / 4.4×10^-4=1.39×10^8 N/m^2

Now, we need to find the strain that exists under a maximum-stress condition.

Since stress = Young’s modulus × strain,

Strain = stress / Young's modulus

Maximum stress = 1.39×10^8 N/m^2

Young's modulus for bone = 1.5 × 10^10 N/m^2

Strain = 1.39×10^8 / 1.5 × 10^10= 0.00927= 9.27 × 10^-3

Therefore, the strain that exists under a maximum-stress condition is 9.27 × 10^-3.

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It will take Joel approximately 7.9 years (or 94.6 months) to pay off his $4300 laptop purchase on his credit card with an interest rate of 535% compounded monthly if he makes monthly payments of $40.

To calculate the time it will take Joel to pay off his $4300 laptop purchase on his credit card with an interest rate of 535% compounded monthly, we can use the formula for the number of periods (n) required to pay off a loan:

n = -log(1 - (r * p) / l) / log(1 + r)

where r is the monthly interest rate (which is 5.35), p is the monthly payment (which is $40), and l is the initial loan amount (which is $4300).

Plugging in these values, we get:

n = -log(1 - (0.0535 * 40) / 4300) / log(1 + 0.0535)

n = -log(0.99093023256) / log(1.0535)

n = 94.6

Therefore, it will take Joel approximately 94.6 months to pay off his laptop purchase, which is equivalent to about 7.9 years.

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The Graham's scan algorithm calculates the convex hull of a set of points, which guarantees a convex polygon. The smallest area polygon containing the set of points is not the convex hull of those points.

To demonstrate that the smallest area polygon containing a set of points may not always be a convex hull of that set of points, let's consider a simple example.

Suppose we have a set of four points: A, B, C, and D, arranged in a square formation, as shown below:

A----B

|    |

|    |

D----C

If we calculate the convex hull of these points using the Graham's scan algorithm, we would obtain the convex hull as ABCDA, which is a square.

However, if we look for the smallest area polygon that contains these points, we can find a non-convex polygon. By connecting the points A, B, C, and D in that order, we form a quadrilateral:

A----B

\  /

 \/

 /\

/  \

D----C

This quadrilateral, ABCD, is not convex, as it has an internal angle greater than 180 degrees.

Hence, in this example, the smallest area polygon containing the set of points is not the convex hull of those points. This example demonstrates that the smallest area polygon can be non-convex, and the convex hull may not always provide the minimum area solution.

The Graham's scan algorithm specifically calculates the convex hull of a set of points, which guarantees a convex polygon. However, to find the smallest area polygon, other techniques or algorithms need to be applied.

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The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

The mean of the total length for both Alex and Brandon can be determined by multiplying the mean length of a single stick by the number of sticks required for each toy. In this case, each toy requires four 9-inch long sticks.

Mean of the total length for both Alex and Brandon: 4 sticks * 9 inches = 36 inches.

Since both Alex and Brandon have sticks with the same mean length and standard deviation, the standard deviation of the total length for both of them remains the same.

Standard deviation of the total length for both Alex and Brandon: 0.17 inches.

Therefore, The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

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Answer:

1/2

Step-by-step explanation:

Slope is rise/run, so:

how far up you go/ how far right you go

If you start at (0, 5), What do you have to do to get to the next point?

You go up one unit, then right 2.

1/2.

The slope is 1/2

Answer:

1/2 the other person is right

The ratio of x:y  is 4:3.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categories ratios. Part to whole ratio is one, while part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

For instance, a class has a 12:15 boy-to-girl ratio, but the part-to-whole ratio refers to the relationship between a particular group and the entire. For instance, five out of every ten people enjoy reading. As a result, the ratio of the portion to the total is 5: 10, meaning that 5 out of every 10 persons enjoy reading.

Given:

15% of x=20% of y

So,

15 / 100 × x = 20 / 100 × y

3 / 20x = 1/5y

x / y = 1/5 x 20/3

x / y = 4/3

Hence, the ratio of x:y  is 4:3.

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Bullying is different from conflict.

Given,

To write script for conflict and bullying .

Conflict is a disagreement or argument in which both sides express their views.

Bullying is negative behavior directed by someone exerting power and control over another person.

Bullying is when someone aggressively uses their “power” to target another individual with repeated, unwanted words or actions. Those targeted individuals are hurt either physically or emotionally and have a hard time stopping what is happening to them.

In normal conflict, children self-monitor their behavior. They read cues to know if lines are crossed, and then modify their behavior in response. Children guided by empathy usually realize they have hurt someone and will want to stop their negative behavior.

On the other hand, children intending to cause harm and whose behavior goes beyond normal conflict will continue their behavior even when they know it's hurting someone.

Thus this is the basic script for conflict and bullying .

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Answer:

The correct option;

136 cubic inches

Step-by-step explanation:

The dimension of the rectangular flour canister are;

Length = 5 1/2 inches (5.5 inches)

Width = 4 inches

Height = 10 inches

The dimensions of the smaller sugar canister

Length = 3 1/2 inches (3.5 inches)

Width = 3 inches

Height = 8 inches

The volume of a cube is given by the relation;

V = Length × Width × Height

Therefore, we have;

The volume of the rectangular flour canister  = 5 1/2 × 4 × 10 = 220 in³

The volume of the rectangular sugar canister  = 3 1/2 × 3 × 8 = 84 in³

The difference in volume between the two canisters = 220 in³ - 84 in³ = 136 in³

The difference in volume between the two canisters = 136 in³

Answer:

Yeah, what they said. Above.

Step-by-step explanation:

This statement is false. In a weighted, connected graph with edge weights not necessarily distinct, if one Minimum Spanning Tree (MST) has k edges of a certain weight w, it is not guaranteed that any other MST must also have exactly k edges of weight w.

1. In a weighted graph, each edge has a weight (or cost) associated with it.
2. A connected graph means there is a path between any pair of vertices.
3. An MST is a subgraph that connects all the vertices in the graph, without any cycles, and with the minimum possible total edge weight.

However, there can be multiple MSTs for a given graph, and their edge weights distribution might not be the same. This is because MSTs are primarily focused on minimizing the total weight, not necessarily preserving the number of edges with a specific weight. Different MSTs may use different sets of edges to achieve the minimum total weight, so they might not have the exact same count of edges with weight w.

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Step-by-step explanation:

6+3b=6+3(7)=6+21=27

Very easy

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The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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The submarine must lower at least 2698 measures and the submarine must rise at least 516.45 measures. Trigonometric angles are the angles in a right- angled triangle using which different trigonometric functions can be represented.

Given that, the sonar system detects an icicle 4000 measures ahead, with an angle of depression of 34 ∘ to the bottom of the icicle.

What are trigonometric angles?

Trigonometric angles are the angles in a right- angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

a) We know that, tan θ = ( vertical/ Base)

Let the number of measures must the submarine lower to pass under the icicle bex.

tan θ = x/ 4000

⇒ tan 34 ° = x/ 4000

⇒0.6745 = x/ 4000

⇒ x = 0.6745 × 4000

⇒ x = 2698 measures

b) Let the number of measures must the submarine rise to pass over the sunken boat bey.

tan θ = y/ 1500

⇒ tan 19 ° = y/ 1500

⇒0.3443 = y/ 1500

⇒ y = 0.3443 × 1500

⇒ y = 516.45 measures

thus, the submarine must lower at least 2698 measures and the submarine must rise at least 516.45 measures.

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Answer:

See below.

Step-by-step explanation:

There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.

Answer:

-40

Step-by-step explanation:

First you have to look at the difference between 8 and 10. which is 80, then because it takes two steps to go from 8 to 10 you divide 80 by two, which is 40. And because the values are decreasing it is -40.

If the average waiting time in the line is 18 minutes, it is not possible to determine the number of customers at the carwash without additional information such as the service rate or arrival rate.

The number of customers at the carwash depends on various factors such as the service rate, arrival rate, and the distribution of service times. Without knowing these factors, it is not possible to accurately determine the number of customers at the carwash.

However, we can make some general observations. If the service rate is high, it is likely that the waiting time will be lower, and hence, the number of customers at the carwash will be lower. On the other hand, if the service rate is low, the waiting time will be higher, and hence, the number of customers at the carwash will be higher.

Similarly, if the arrival rate is high, the number of customers at the carwash will be higher, and if the arrival rate is low, the number of customers will be lower. Therefore, to determine the number of customers at the carwash, we need to know both the arrival rate and the service rate.

In conclusion, knowing only the average waiting time in the line is not sufficient to determine the number of customers at the carwash. Additional information such as the arrival rate and service rate is required to make an accurate estimation.

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y =7 as it is parallel to the x axis

Answer:

176 + 5x = 651

Step-by-step explanation:

the parts are 176, the guy works for 5 hours and the total is 651. the hourly cost is the unknown so 176 + 5x = 651.

hope this helps

Answer:

x=95

Step-by-step explanation:

The equation to solve this would be 651=176+5x. The first step would to subtract 176 on both sides of the equation. 651-176=176-176+5x. That equals 475=5x. Now, to isolate the variable, divide both sides of the equation by 5. 475/5=5x/5 That gives you 95=x. The cost of labor per hour is $95.

The high school graduation is the dependent variable.

In this question,

Jordan is studying whether or not race affects high school graduation in utah.

A dependent variable is a variable in an expression that depends on the value of another variable. It is a variable that represents a quantity that changes based on other quantities being manipulated in an experiment. It is the variable being tested, and therefore, it is called the dependent variable.

In the above statement, the high school graduation gets affected by race. So, the the high school graduation is the dependent variable.

Hence we can conclude that the high school graduation is the dependent variable.

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Answer: At 5.5 hours they will be 770 km apart.

Step-by-step explanation: Divide the distance by the total speed at which they are moving apart.

60 km/h + 80km/ = 140 km/h

770 km ÷140 km/h = 5.5 hours

Answer:

2/5

Step-by-step explanation:

The answer is 2/5 as a fraction or 0.40 as a decimal. To get the answer all you have to do is 1/3÷5/6

When comparing variables x and y that are in the list '(AB), the comparison function we use is EQ.

Here's an explanation:

In Lisp, the EQ operator compares whether the two arguments are the same memory location.

EQV, on the other hand, checks whether the two values being compared are equivalent to each other.

For example, EQV will return true for two identical strings, while EQ will not.

The comparison function that should be used to compare variables x and y, which are both in the list '(AB), is EQ.

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Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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The weight of each box that Lucy is shipping is 11.5 pounds.

To find the weight of each box, we need to subtract the weight of the envelope from the total weight and then divide by the number of boxes. Here's how to do it step by step:
1. Start with the total weight: 65 pounds
2. Subtract the weight of the envelope:

65 pounds - 7.5 pounds = 57.5 pounds
3. Divide by the number of boxes:

57.5 pounds / 5 boxes = 11.5 pounds per box

So the weight of each box is 11.5 pounds.

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Answer:

comments maxed out

Step-by-step explanation:

Answer:

45 miles

Step-by-step explanation:

5 miles = 8 km

72 km = 9 * 8 km

Since 8 km = 5 miles, replace 8 km with 5 miles

72 km = 9 * 8 km = 9 * 5 miles = 45 miles

The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

μρ=ρ

The standard deviation of this sampling distribution of sample proportion is:

σρ=\(\sqrt \frac{p(1-p)}{n}\)

The information provided is:

n = 533

p = 0.09

As the sample size is quite large, i.e. n = 533 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.

The mean and standard deviation are:

μρ=ρ=0.09

σρ=\(\sqrt \frac{p(1-p)}{n}\)=\(\sqrt\frac{0.09(1-0.09)}{533}=0.01239\)

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:

\(p(p^-p > 0.03)=P(p^ > 0.12) \\=P(z > \frac{0.12-0.9}{0.012}) \\= P(Z > 2.5) \\= 1-P(Z > 2.5) \\ = 1- 0.993 \\ = 0.00621\)

Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

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Histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

Histogram is used to summarize discrete or continuous data measured on an interval scale. It is often used to describe key features of the distribution of data in a practical way.

A histogram divides the range of possible values ​​in a data set into different classes or groups. For each group, a rectangle is created with a base length equal to the range of values ​​in that particular group and a length equal to the number of observations that fall into that group.

Histograms are similar to column charts, but there are no gaps between the bars. Histograms generally have equal width bars.

Thus, it can be concluded that histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

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The inequality for the given statement is y > -8x+9.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given that,

The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".

According the given statement

First taking the sum of negative eight times the value of x and 9.

-8x+9

Then,

y is greater than -8x+9.

y > -8x+9

Hence, The inequality for the given statement is y > -8x+9.

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