The brain volume (cm^3) of brain vary from a low of 912cm^3 to a high of 1484cm^3.

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

Answer:

C. 2/5

Hope this helps!!!!!!!!

Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.

Step-by-step explanation:

As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.

With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.

Answer:

c ------ 1/3(40) ft^3

Step-by-step explanation:

searched the formula for volume of a cylinder

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= \(\frac{2}{3}\)

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

Answer: 3.2

Step-by-step explanation: 3.2 is the answer because the number 7 is higher than 5. so the number 1 goes up by one, which that equals 3.2

Answer:

Sorry Bro I can't understand

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.

However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.

Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.

Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.

To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.

These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.

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Using the z-distribution, we have that:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066\)

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

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Answer: (-8,8)

Step-by-step explanation:

\(\displaystyle\\\left \{ {{2x=96-14y\ \ \ \ (1)} \atop {9x=40-14y\ \ \ \ (2) \right. \\\\\)

Multiply both parts of the equation (1) by (-1):

\(\displaystyle\\\left \{ {{-2x=-96+14y} \atop {9x=40-14y \right. \\\\\)

Sum these equations:

\(7x=-56\)

Divide both parts of the equation by 7:

\(x=-8\)

Let us substitute the value of x=-8 into equation (1):

\(2(-8)=96-14y\\\\-16=96-14y\\\\-16-96=96-14y-96\\\\-112=-14y\)

Divide both parts of the equation by -14:

\(8=y\\\\Thus,\ y=8\)

Answer:

1/110

Step-by-step explanation:

Probability of selecting a rose is 3/12, probability of selecting a tulip is 4/11, and probability of selecting a carnation is 1/10.

\(\frac{3}{12} *\frac{4}{11} *\frac{1}{10} \\=\frac{1}{110}\)

Answer:

15

Step-by-step explanation:

sorry if this is wrong :)

The meaning of this annotation: "| |" is Absolute value.

Solving for : |2(-7.5)|

|2(-7.5)| = |2 x (-7.5)|

= |-15|

|-15| = 15

Therefore, |2(-7.5)| = 15

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The appropriate z-value to use in the situation given in the question is 1.28.

Given,Total number of adults in the sample = 2092

Number of adults using the internet = 1318

Number of internet users who expect businesses to have websites that give product information = 1041

Probability of internet users who expect businesses to have websites that give product information as per the teacher's statement = 80% = 0.8

To find the appropriate z-value to use in this situation, we need to calculate the standard error of proportion, which is given by:

SEp = √[p(1-p)/n]

where p is the proportion of internet users who expect businesses to have websites that give product information and n is the sample size.

Substituting the given values in the formula,

SEp = √[(1041/1318)(1-1041/1318)/1318]SEp = 0.019

z-value is given by:

z = (p - P)/SEp

where P is the proportion of internet users who expect businesses to have websites that give product information as per the teacher's statement.

Substituting the given values in the formula,

z = (0.8 - 1041/1318)/0.019

z = - 1.28

The appropriate z-value to use in this situation is -1.28.

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The average weight of the colony over the interval [1,4] is 47.83 newtons

The average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval.

Given,

\(w(t)=12.5e^{0.5t}\)

The average value of the given function

\(w_{avg} =\frac{1}{b-a}\int\limits^a_b {w(t)} \, dt\)

Here the interval is [1,4]

Therefore, a=1 and b= 4.

Substitute the values of w(t),a and b in the equation

\(w_{avg}= \frac{1}{4-1}\int\limits^4_1 {12.5e^{0.5t} } \, dx \\w_{avg}= \frac{1}{3}\int\limits^4_1 {\frac{25e^{0.5t} }{2} } \, dx\)

Consider,

\(u=\frac{t}{2}\\ \frac{du}{dt}=\frac{1}{2}\\dt=2du\)

Then,

\(w_{avg}= \frac{25}{3}\int\limits^4_1 {e^{u} } \, du\\ w_{avg}= \frac{25}{3}[e^{4/2}-e^{1/2}]\\ w_{avg}= \frac{25}{3}[e^{2}-\sqrt{e}]\\ w_{avg}= \frac{25}{3}[5.74]\\ w_{avg}=47.83\)

Hence, the average weight of the colony over the interval [1,4] is 47.83 newtons

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

Franklin will be able to fill 4 mugs.

Step-by-step explanation:

We Know

Franklin made 2 2/5 quarts of hot chocolate.

2 2/5 = 12/5 = 2.4

Each mug holds 3/5 of a quart.

3/5 = 0.6

How many mugs will Franklin be able to fill?

We Take

2.4 ÷ 0.6 = 4 mugs

So, Franklin will be able to fill 4 mugs.

Yesterday, 5 more rooms were occupied than today.

The number of occupied rooms is obtained applying the proportions in the context of the problem.

Yesterday, the number of rooms occupied was given as follows:

4/5 x 100 = 0.8 x 100 = 80 rooms.

Today, the number of rooms occupied is given as follows:

3/4 x 100 = 0.75 x 100 = 75 rooms.

80 > 75, and the difference is given as follows:

80 - 75 = 5.

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If 15 employed women are randomly select:

(A) The probability that exactly 2 of them have never been married is 0.0476

(B) At most 2 of them have never been married is 0.0617

(C) At least 13 of them have been married is 0.2884

Permutations and combinations are methods used to calculate the number of possible outcomes in various situations. Permutations are understood as permutations and combinations are understood as select.

According to the Question:

(A) the probability of:

P( at most  2 have been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

            = \(\frac{15!}{0!15!} (0.57)^0 (0.43)^{15} + \frac{15!}{11!14!} (0.57)^1 (0.43)^{14}\)

            = 0.0476

(B)  P( at most  2 have never been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

             = 0.0617

(C) 1 - 35% = 65%

  0.65¹³ × (13×12/ 1×2)

= 0.2884

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Answer:

\(W \le 6\)

Step-by-step explanation:

Given

\(Area = 60ft^2\ (max)\)

\(Length = 10ft\)

Required

Represent the width as an inequality

First, we represent the area as an inequality.

\(Area = 60ft^2\ (max)\)

max as used above means less than or equal to.

So, we have:

\(Area \le 60\)

The area of a rectangle is:

\(Area = L * W\)

So, we have:

\(L * W \le 60\)

Substitute 10 for L

\(10 * W \le 60\)

Divide both sides by 10

\(\frac{10 * W}{10} \le \frac{60}{10}\)

\(W \le \frac{60}{10}\)

\(W \le 6\)

Answer:

0.6766

Step-by-step explanation:

6.8%*9.95=0.6766

In the antimony trichloride system, when we assume only dilution when calculating concentrations, we are introducing a systematic error to our data.

The error in this assumption is that dilution is not the only process that occurs when calculating the concentration of the antimony trichloride system.

Antimony trichloride system refers to the equilibrium that is formed when antimony trichloride (SbCl₃) is dissolved in water. The reaction of antimony trichloride with water results in the formation of antimony ions (Sb⁺³) and chloride ions (Cl⁻). This reaction is represented by the following equation:

SbCl₃ + H₂O ↔ Sb⁺³ + 3Cl⁻

The equilibrium constant of the reaction is known as the antimony trichloride ionization constant (Kc).

The assumption of dilution only when calculating the concentration of the antimony trichloride system is introducing a systematic error in our data. This is because the reaction of antimony trichloride with water is not the only process that occurs when we are calculating the concentration of the system.

There are other factors that may affect the concentration of the system, such as temperature and pressure. Therefore, by assuming that dilution is the only process that affects the concentration of the antimony trichloride system, we are introducing a systematic error to our data. This error may result in inaccurate results when we are conducting experiments related to the antimony trichloride system.

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The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

Let the cost of cherry pies be x and the cost of blackberry pies be y.

In case of Carlos, we get the equation as:

7 x + 4 y = 71   …(1)

In case of Elisa, we get the equation as:

3 x + 4 y = 51

4 y = 51 - 3 x   …(2)

Put equation (2) in equation (1)

7 x + 51 - 3 x = 71

4 x = 71 - 51

4 x = 20

x = 20 / 4

x = 5

4 y = 51 - 3 (5)

4 y = 51 - 15

4 y = 36

y = 36 / 4

y = 9

Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

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The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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Answer:

can you please format it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

The number of traders who sells gari or maize if In a group of 59 traders,26 sell gari 8 sell only rice and 15 sell only maize. 10 sell gari and rice 16 sell rice and maize and 42 sell maize, is 6.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

In a group of 59 traders,26 sell gari 8 sell only rice and 15 sell only maize. 10 sell gari and rice 16 sell rice and maize and 42 sell maize,

Calculate the number of traders who sell gari of maize as shown below,

P(G ∪ R ∪ M) = P(G) + P(R) + P(M) - P(G ∩ R) - P(R ∩ M) - P(G ∩ M) + P(G ∩ R ∩ M)

59 = 26 + 8 + 15 - 10 - 16 - P(G ∩ M) + 42

59 - 42 = 49 - 26 - P(G ∩ M)

P(G ∩ M) =  - 17 + 23

P(G ∩ M) = 6

Thus, the number of traders who sells gari or maize is 6.

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The transitive closure of {a,b,c,d,e} is option A which is {(a, c), (b, d), (c, a), (d, b), (e, d)}.

In mathematics, the transitive closure of a paired connection R on a set X is the littlest connection on X that contains R and is transitive. For limited sets, "smallest" can be taken in its standard sense, of having the least related matches; for boundless sets, it is the unique minimal transitive superset of R. Hence the transitive closure of {a,b,c,d,e} is option A which is {(a, c), (b, d), (c, a), (d, b), (e, d)}.

The reflexive closure of {a,b,c,d,e} is {(a,a),(a,e),(b,a),(b,b),(b,d),(c,c),(c,d),(d,a),(d,c),(d,d),(e,a),(e,b),(e,c),(e,e)}

as reflexive closure is the union of relation R and the identity relation on set so{ (a, a),(b,b),(c,c),(d,d),(e,e)} U {R} will result in {(a, a),(a,e),(b, a),(b,b),(b,d),(c,c),(c,d),(d, a),(d,c),(d,d),(e, a),(e,b),(e,c),(e,e)}

Symmetric closure will be the union of relation R and the inverse of relation R so the symmetric closure will be

{(a,e),(b,a),(a,b),(b,d),(d,b),(c,d),(d,c),(d,a),(a,d),(e,b),(b,e),(e,c),(c,e),(e,e)}.

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Answer: my best guess is… (a, b, c, d, e}

Step-by-step explanation: I hope this helps<3