help me with geometry​

The expected number of smokers in a random sample of 150 students from this university is 15.

To calculate the expected number of smokers in a random sample of 150 students at a university where 10% of students smoke, you simply multiply the total number of students in the sample by the percentage of students who smoke:
Expected number of smokers = Total number of students x Percentage of smokers
= 150 students x 10%
= 150 x 0.10
= 15
So, if we know that 10% of students smoke at this university, and we have a random sample of 150 students, we can calculate the expected number of smokers as follows:

Expected number of smokers = 150 x 0.10 = 15

Therefore, we can expect that there will be approximately 15 smokers in a random sample of 150 students from this university.


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The Z scores a way to standardize and compare data, as well as to identify outliers.

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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Answer:

12.56 m

Step-by-step explanation:

The circumference of a circle is given by

C  = 2 * pi *r

C = 2 * (3.14) * 2

C =12.56

We have a variable x that is normally distributed with:

A. Using the data above we must find the 56th-percentile for the random variable x.

First, we need to find the z-score associated with this percentile. How we do that? We must find the value of z that solves the following equation:

Based on this, we find that the solution is z = 0.151 because from the normal table we see that:

Therefore, the percentile we are looking for is computed using the following formula:

B. We must find the proportion of the values for the random variable x between 82 and 89.

In mathematical terms, in this case, we must compute the following probability:

Again, we must obtain the z-scores to solve this. The corresponding z-values needed to be computed are:

Now, because the variable x is a normal distribution, then the variables Zlow and Zup have a normal distribution. Therefore, the probability is computed in the following way:

C. Finally, we must compute the following probability:

The corresponding z-value needed to be computed is:

Again, because x follows a normal distribution, then the variable Zlow has a normal distribution and the probability is computed as:

Summary

The results are:

A. 76.208

B. 0.1507

C. 0.0168

Explanation:

The two points (0,0) and (2,1) are on the line. Apply the slope formula to them to get the following

m = (y2-y1)/(x2-x1)

m = (1-0)/(2-0)

m = 1/2

This indicates that each time you go up 1 unit, you must move to the right 2 units.

Slope = rise/run = 1/2

rise = 1, run = 2

Answer:

D

Step-by-step explanation:

27*32=864

40%/100%=0.4

0.4*864=345.6

Answer:

$3.74

Step-by-step explanation:

5 pounds is 9.35 means 1 pound is 1.87 dollars

2 pounds is 3.74 dollars

The probability that they all receive correct meals - \(\frac{1}{35}\)

The probability is :

                  = \(\frac{1}{\frac{7!}{4! * 3!} }\)  = \(\frac{4! * 3!}{ 7!}\) = \(\frac{4 * 3 * 2 * 1 * 3 * 2 * 1}{7 * 6 * 5 * 4 * 3 * 2 *1}\) = \(\frac{3 * 2}{5 * 6 * 7}\) = \(\frac{1}{35}\)

So,

The probability that they all receive the correct meals = \(\frac{1}{35}\) .

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Answer:

Para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, a cada niño y niña se les debe dar 7/4 alfajores

Step-by-step explanation:

Al compartir 5 alfajores, entre 3 niños y niñas, los alfajores se cortan en tres partes cada uno de manera que cada niño y niña recibe 5/3 piezas de alfajore

Luego, la pregunta es, ¿cómo se pueden compartir 7 alfajores entre 4 niñas y niños sin que quede nada?

Por el proceso de compartir ejemplos, obtenemos;

Cada alfajores debe dividirse en el número total de niños y niñas, que son cuatro piezas cada uno.

El número total de 1/4 piezas = 7 × 4 = 28 piezas de 1/4 alfajores

Cada niño y niña recibe 7 de las piezas de 1/4 alfajores

El número total de alfajores, n, compartidos entre los cuatro niños y niñas viene dado por la expresión;

n = 7 (1/4 alfajores) × 4 = 28 piezas de 1/4 alfajores

Por lo tanto, para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, cada niño y niña debe recibir 7/4 alfajores.

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

1. 30 − 6q

3. −7d − 14 OR -7d + -14

4. = −4x + 24y

5. a) −3b − 15           b)−12x + 24

6. For the first answer to this question: 3x + 3y OR 3x = t

For the second answer to this question: 3x = t and it costs 15 dollars in total with x = 5.

Part A: The inequality representing the temperatures for benzene to remain liquid is 42°F < T < 176°F.

Part B: The graph of the inequality includes open circles at 42°F and 176°F, indicating that these temperatures are not included in the solution set. The interval between these points should be shaded, representing the temperatures within which benzene remains liquid.

Part C: No, the chemist would not have been able to conduct her research with benzene at 20°F because it is below the lower bound of the temperature range (42°F) required for benzene to remain in its liquid form.

Part A: To represent the temperatures within which benzene must remain liquid, we can use an inequality. Since the boiling point is 176°F and the freezing point is 42°F, the temperature must stay between these two values. Therefore, the inequality is 42°F < T < 176°F, where T represents the temperature in degrees Fahrenheit.

Part B: The graph of the inequality 42°F < T < 176°F represents a bounded interval on the number line. To describe the graph, we can use open circles at 42°F and 176°F to indicate that these endpoints are not included in the solution set. The interval between these two points should be shaded, indicating that the temperatures within this range satisfy the inequality. The shading should be from left to right, covering the entire interval between 42°F and 176°F.

Part C: In February, when the building's temperature fell to 20°F, the chemist would not have been able to conduct her research with benzene. This is because 20°F is below the lower bound of the temperature range required for benzene to remain liquid. The inequality 42°F < T < 176°F indicates that the temperature needs to be above 42°F for benzene to stay in its liquid form. Therefore, with a temperature of 20°F, the benzene would have frozen, making it unsuitable for the chemist's research.

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Answer:

Yes

She will complete a 20 mile run within 15 weeks.

Answer:

48-x

Step-by-step explanation:

6(x-2) + 5(x+12)-12x

6x-12+5x+60-12x

6x+5x-12x-12+60

-x+48

Answer:

The correct value of z crit for this test is +1.645

Step-by-step explanation:

Step-by-step explanation:

Area of a curved surface of a cylinder = 4400 cm².

The circumference of its base = 110 cm.

As we know that,

Formula of : circumference of base = 2πr.

→ 2πr = 110.

→ πr = 55.

Formula of : Curved surface area of cylinder = 2πrh.

→ 2πrh = 4400.

Put the value of πr = 55 in the equation, we get.

→ 2(55)h = 4400.

→ 110h = 4400.

→ h = 40 cm.

Height of cylinder = 40 cm.

Answer:

Step-by-step explanation:

A box and whisker plot (also known as a "box plot"), is a graph displaying the distribution of a set of data based on a five number summary.

To calculate the values of the five-number summery, first order the given data values from smallest to largest (this has already been done for us).

The median is the middle value when all data values are placed in order of size.

There are 28 data values in the data set, so this is an even data set.

The middle two values are 84 and 88.

\(\textsf{60, 64, 68, 68, 72, 76, 76, 80, 80, 80, 84, 84, 84, \boxed{\sf 84, 88,} 88, 88,}\\ \textsf{92, 92, 96, 96, 96, 96, 96, 96, 96, 100, 100.}\)

As there are an even number of data values, the median is the mean of the middle two values:

\(\implies \sf Median\;(Q_2) = \dfrac{84+88}{2}=86\)

The lower quartile (Q₁) is the median of the data points to the left of the median.  Again, as there is an even number of data points to the left of the median, the lower quartile is the mean of the the middle two values:

\(\textsf{60, 64, 68, 68, 72, 76, \boxed{\sf 76, 80,} 80, 80, 84, 84, 84, 84, $|$ 88, 88, 88,}\\ \textsf{92, 92, 96, 96, 96, 96, 96, 96, 96, 100, 100.}\)

\(\implies \sf Lower\;Quartile\;(Q_1) = \dfrac{76+80}{2}=78\)

The upper quartile (Q₃) is the median of the data points to the right of the median.  Again, as there is an even number of data points to the right of the median, the upper quartile is the mean of the the middle two values:

\(\textsf{60, 64, 68, 68, 72, 76, 76, 80, 80, 80, 84, 84, 84, 84, $|$ 88, 88, 88,}\\ \textsf{92, 92, 96, \boxed{\sf 96, 96,} 96, 96, 96, 96, 100, 100.}\)

\(\implies \sf Upper\;Quartile\;(Q_3) = \dfrac{96+96}{2}=96\)

An outlier is any value that lies more than one and a half times the length of the box from either end of the box.  The length of the box is called the interquartile range (IQR).  IQR = Q₃ - Q₁.

\(\begin{aligned}\sf Q_1- (1.5)(IQR) &= 78-(1.5)(96-78)\\&=78-(1.5)(18)\\&=78-27\\&=51\end{aligned}\)

\(\begin{aligned}\sf Q_3+ (1.5)(IQR) &= 96+(1.5)(96-78)\\&=96+(1.5)(18)\\&=96+27\\&=123\end{aligned}\)

As 51 is less than the minimum value of 60, and 123 is more than the maximum value of 100, there are no outliers in the data set.

The minimum data value is 60.

The maximum data value is 100.

Therefore, the five-number summary is:

Construct the box and whisker plot:

The data represented by the box is the interquartile range (IQR) where 50% of the data is found.

The left whisker represents the bottom 25% of the data and the right whisker represents the top 25% of the data.

The median score was 86, and 50% of the students scored between 78 and 96.  Therefore, it was a high scoring test and the students succeeded on the test.

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Answer:pink

Step-by-step explanation:

A pyramid with a square base has a volume of 42.67 cubic meters.

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.

Here,

perimeter=12.8 m

side=12.8/4

=3.2 m

volume=1/3*3.2²*12.5

=1/3*128

=42.67 m³

The volume of a pyramid with a square base is 42.67 m³.

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Answer:

the answer c

Step-by-step explanation:

the answer c

Answer:

16383

Step-by-step explanation:

Answer:

4:12

Step-by-step explanation:

To get from 3 to 9 you multiply 3 by 3. Do the same with the rest. 4 times 3 equals 12.

Answer:

1. f & c,     d & e,

2. h & a,   g & b

3. h & d,    f & b,   g & c,     a & e

here ya go, i hope this is correct if i remember right

Step-by-step explanation:

Answer:

\(\frac{dy}{dx}\) = 8(2x + 3)³

Step-by-step explanation:

Using the function of a function rule

Given

y = f(g(x)) , then

\(\frac{dy}{dx}\) = f'(g(x)) × g'(x)

Given

y = \((2x+3)^{4}\) , then

\(\frac{dy}{dx}\) = 4(2x + 3)³ × \(\frac{d}{dx}\) (2x + 3)

    = 4(2x + 3)³ × 2

     = 8(2x + 3)³

The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Answer:

B.) They are on opposite sides of zero on the number line.

stay safe and have a great day!

Answer:

B They are on opposite sides of zero on the number line.

is correct

Step-by-step explanation:

guy above is right

and did the quiz