Samir paints 13 of a fence in 23 hour. He continues to paint the fence at the same rate. Which expression can be used to determine the fraction of the fence that Samir will paint in 1 hour?

The length of the line segments are 12 cm , 27 cm and 43 cm

A line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

Given here total measure of the segments is 82 cm. Let the measure of the second segment be x then as per question we have

4x/9+ x + x+16=82

22x/9+16=82

22x/9=66

x        = 27 cm

Hence, the length of the segments are 12 cm , 27 cm and 43 cm

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A) X is a binomial random variable since there are two possible outcomes on each trial, either support or not support the death penalty. B) The probability of 4 people selected support death penalty is 0.186. C) The probability that at least 2 people selected are against death penalty is 0.9848 or approximately 98.48%.

a. X is a binomial random variable since there are two possible outcomes on each trial, either support or not support the death penalty. The probability of success (supporting death penalty) is constant (66%) and the trials are independent.

b. The probability that exactly 4 people selected support death penalty can be calculated as shown below:Given, n = 5 (number of trials) and p = 0.66 (probability of success)

The probability of 4 people selected support death penalty is given by:P(X = 4) = (n C x)px(1-p)n-xwhere x = 4 Substituting the given values:P(X = 4) = (5 C 4)(0.66)^4(1 - 0.66)5-4= 0.186

c. The probability that at least 2 people selected are against the death penalty can be calculated as shown below:Since there are only two possible outcomes on each trial, either support or not support the death penalty. The probability of success (supporting death penalty) is 66% and the probability of failure (not supporting death penalty) is (1-0.66) = 0.34.

The probability of at least 2 people selected are against the death penalty is given by:

P(X ≥ 2) = 1 - P(X < 2) Since X follows a binomial distribution, P(X < 2) = P(X = 0) + P(X = 1) Given, n = 5 (number of trials) and p = 0.66 (probability of success)P(X < 2) = P(X = 0) + P(X = 1)P(X = 0) = (5 C 0)(0.66)^0(1 - 0.66)5-0= 0.0005P(X = 1) = (5 C 1)(0.66)^1(1 - 0.66)5-1= 0.0147S

ubstituting the calculated values:P(X < 2) = 0.0005 + 0.0147= 0.0152Therefore,P(X ≥ 2) = 1 - P(X < 2)= 1 - 0.0152= 0.9848

The probability that at least 2 people selected are against death penalty is 0.9848 or approximately 98.48%.

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Answer:

\(1 \frac{1}{5} \)

Step-by-step explanation:

\(3 \times \frac{2}{5} \\ \frac{3}{1} \times \frac{2}{5} = \frac{6}{5} \\ \frac{6}{5} = 1 \frac{1}{5} \)

The number of scores by the Eagles is 45.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cowboys scores = x

Eagles scores = y

y = 2x - 7 _____(1)

Now,

x + y = 71 ______(2)

From (1) and (2) we get,

x + 2x - 7 = 71

3x - 7 = 71

3x = 71 + 7

3x = 78

x = 26

Now,

y = 2x - 7

y = 2 x 26 - 7

y = 52 - 7

y = 45

Thus,

The eagles scored 45.

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Answer:

Factor \(12a + 6b : 6(2a + b)\)

Step-by-step explanation:

\(12a+6b\)

Rewrite \(12\) as \(2 * 6\):

\(=2\cdot \:6a+6b\)

Factor out common term \(6\):

\(=6\left(2a+b\right)\)

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, Have a good day! =)

Answer:

x=-1

Step-by-step explanation:

natural numbers, whole numbers, integer, rational number and real numbers

Natural numbers starts from 1 to positive infinity. 11 is between 1 and positive infinity. Hence, it is a natural number

Whole numbers start from 0 to positive infinity. 11 is between 0 and positive infinity. Hence, it is a whole number

Integer consists of natural numbers, 0 and the negative of the natural numbers (...-2, -1, 0, 1, 2....)

11 is between these sets of numbers. Hence it is an integer

Rational numbers are numbers that can be written as a fraction.

11 can be written as a fraction. Hence, it is a rational number

Irrational numbers cannot be written as a fraction. So this option is wrong

Real numbers consists of natural numbers, whole numbers, integers and rational numbers.

Since 11 fall in one of these, it is also a real number

The sets to which the following number 11 belongs to are natural numbers, whole numbers, integer, rational number and real numbers

Answer:

the first one and last one

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.

Step-by-step explanation:

the radius (r) is 36 inches, the circumference of the circle is C = 2pi r,

or C = 2pi(36 inches) = 72pi inches.

The half-life period of a radioactive element is 7 days. The fraction of the radioactive element that disintegrates in 21 days is 0.406.

The half-life period of a radioactive element is 7 days.

Fraction of the sample will remain after 21 days:

The decay constant \(\lambda\) = \(\frac{0.693}{t_{1/2} }\)

= \(\frac{0.693}{7} = 0.099\)/ hour

t = 21 days

t = \(\frac{2.303}{\lambda} log\frac{a}{a-x}\)

21 = \(\frac{2.303}{0.099}log\frac{a}{a-x}\)

0.9028 = \(log\frac{a}{a-x}\)

2.466 = \(\frac{a}{a-x}\)

\(\frac{a-x}{a} =0.406\)

Hence,

The half-life period of a radioactive element is 7 days. The fraction of the radioactive element that disintegrates in 21 days is 0.406.

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Heather and her family purchased a home for 450,000, which is right in the middle of the range of homes in the area, which have a mean price of 450,000 and a standard deviation of 50,000.

The mean price of the homes in the area is the average price of all homes in the area and can be calculated by adding up all of the prices of the homes and then dividing by the total number of homes. In this example, the mean price is 450,000. The standard deviation is a measure of how much variation there is in a set of data. It is calculated by taking the square root of the sum of the squared differences of each data point from the mean, divided by the total number of data points. In this example, the standard deviation is 50,000. So, the mean price of the homes in the area is 450,000, plus or minus 50,000. This means that the majority of homes in the area cost between 400,000 and 500,000. Heather and her family purchased a home that cost 450,000, which is right in the middle of the range.

Heather and her family purchased a home for 450,000, which is right in the middle of the range of homes in the area, which have a mean price of 450,000 and a standard deviation of 50,000.

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Answer:

Here!

Step-by-step explanation:

Hope this helps! Have a great day/night

Step-by-step explanation:

v(x) = y = -3/4x - 1/3

y + 1/3 = -3/4x

x = -4/3 × (y + 1/3)

you see ? we only need to show how we calculate x out of y (instead of the normal direction of y or of x).

and to follow naming standards we now simply switch x and y, so that the inverse function is indeed again a function of x

y = -4/3 × (x + 1/3) = -4x/3 - 4/9

Answer:

36 minutes

Step-by-step explanation:

i have a different saying this so dont get mad

The following is true about the study: e. It has one factor (medication) blocked by age.

In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.

In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.

Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.

In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.

In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.

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Answer:

4725

Step-by-step explanation:

105 students

think of 100 students

100 × 45 = 4500

now the remaining 5 students

cost for 10 students will be

45 × 10 = 450

divide 450 by 2 to find out for 5 students

it is 225

4500 + 225 = 4725

The number of square inches of glass they will Wayne need to build his display box is 1730.67 square inches.

We are given that;

Radius of sphere= 6inches

Now,

we can use the Pythagorean theorem to relate the radius of the sphere and the edge of the cube. If we draw a right triangle with one leg as the radius of the sphere and the hypotenuse as half of the diagonal of a face of the cube, we get:

r2+r2=(2e​)2

where r is the radius of the sphere and e is the edge of the cube. Simplifying and solving for e, we get:

e=22​r

Plugging in r=6, we get:

e=22​×6≈16.97

The surface area of a cube is given by:

S=6e2

Plugging in e≈16.97, we get:

S≈6×(16.97)2≈1730.67

Therefore, by Pythagoras theorem the answer will be 1730.67 square inches.

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Answer:

Step-by-step explanation:

radius = diameter / 2 = 5/2 = 2.5 in

V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)

cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)

Answer:

Is this cooking because if it is why would we need to answer that just ask another adult because this app is for home work or school work not for cooking

Answer:

x= 21

Step-by-step explanation:

(x+6)^1/3-5=-2

Solve for x

Add 5 to each side

(x+6)^1/3-5+5=-2+5

(x+6)^1/3=3

Cube each side.

((x+6)^1/3)^3=3^3

x+6 = 27

Subtract 6 from each side

x+6-6 = 27-6

x= 21

Answer:

x = 21

Step-by-step explanation:

\(\sf(x+6)^\frac{1}{3} -5=-2\)

First, add 5 to both sides.

\(\sf(x+6)^\frac{1}{3} =-2+5\\\\\sf(x+6)^\frac{1}{3} =3\\\\\sqrt[3]{(x+6)} =3\)

Cube both sides.

\(\sqrt[3]{(x+6)} =3\\\\x+6=3^3\\\\x+6=27\)

Subtract 6 from both sides.

\(x+6=27\\\\x=27-6\\\\x=21\)

Answer:

x=78.2

Step-by-step explanation:

Answer:

x = 8.94 inches

Step-by-step explanation:

Since it is already given that the area of the painting is 400 in² and the fact that area is length times width, we can make an equation and solve for x:

A=LW

400=(4x+9)(x)

400=4x^2+9x

0=4x^2+9x-400

Use the quadratic formula:

x=[-9±√(9²-4(4)(-400))]/2(4)

x=[-9±√(81+6400)]/8

x=[-9±√(6481)]/8

x = [-9+√(6481)]/8 = 8.938082281 = 8.94

x = [-9-√(6481)]/8 = -11.18808228 = -11.19

Since distance can only be positive, we will choose 8.94 as the correct solution. Therefore, x = 8.94 inches is the correct answer.

A manufacturer working at the 430 gram setting, and a 21 bag sample had a mean of 421 grams with a standard deviation of 15. The p-value of test statistic is 0.0074.

To test whether the bag filling machine works correctly at the 430 gram setting, we can conduct a one-sample t-test. The null hypothesis is that the true mean weight of the bags filled by the machine is equal to 430 grams, and the alternative hypothesis is that the true mean weight is less than 430 grams.

The test statistic is calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values given in the problem, we get:

t = (421 - 430) / (15 / sqrt(21)) = -2.77

The degrees of freedom for the t-distribution are n - 1 = 20.

Using a t-table or calculator, we can find the p-value associated with a t-score of -2.77 and 20 degrees of freedom. The p-value turns out to be 0.0074 (rounded to four decimal places).

Since the p-value is less than the level of significance of 0.1, we can reject the null hypothesis and conclude that the bag filling machine is underfilling the bags at the 430 gram setting.

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(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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Answer: 0

Step-by-step explanation:

The device detonated at 11:59:55, or 5 minutes and 17 seconds before noon.

By deducting the time at which each person heard the explosion from Adriana's precise explosion time, it is possible to determine the time at which the bomb exploded. The device detonated at 11:59:55, or 5 minutes and 17 seconds before noon. Since Adriana heard the explosion exactly at noon, the bomb must have detonated at 11:59:55, or 5 minutes, 17 seconds, earlier than noon. We deduct 5 to 17 seconds from the moment Adriana heard the explosion to arrive at this time. This gives us the bomb's explosion time as 11:59:55. Therefore, the bomb's explosion occurred at 11:59:55, or 5 minutes and 17 seconds before noon.

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Answer:

15% per year

Step-by-step explanation:

the population rate per year