LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )

Answer: -4

Step-by-step explanation: If you add all the numbers marked, -7 + -4 + -3 + 2 + 7 you will get -4.

Answer:

133/10

Step-by-step explanation:

first turn into proper fraction

19/5 * 7/2 = 133/10

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

Yes

Step-by-step explanation:

10,20,30,40,50 are all divisible by 5.

Answer:

x=0, y=3/2. (0, 3/2).

Step-by-step explanation:

7x-8y=-12

-4x+2y=3

----------------

7x-8y=-12

4(-4x+2y)=4(3)

-----------------------

7x-8y=-12

-16x+8y=12

----------------

-9x=0

x=0/-9

x=0

7(0)-8y=-12

0-8y=-12

8y=0-(-12)

8y=0+12

8y=12

y=12/8

simplify

y=3/2

Answer:

Box A: 6 feet

Box B: 16 feet

Box C: 12 feet

Step-by-step explanation:

Answer:

<KLN and <MLI

Step-by-step explanation:

vertical angles are made by opposite angles that are made by two intersecting lines

hope this helps :), brainliest??

Answer:

16

Step-by-step explanation:

Answer:

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.

This means that the null hypothesis is:

\(H_0: \mu = 10941\)

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

This means that the alternate hypothesis is:

\(H_a: \mu > 10941\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

10941 is tested at the null hypothesis:

This means that \(\mu = 10941\)

To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:

This means that \(n = 115, X = 11425, \sigma = 3217\)

Value of the z-statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}\)

\(z = 1.61\)

Pvalue of the test:

Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.

Looking at the z-table, z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

The ratio 11:7 is equivalent to 61% and 39%.

A ratio shows the mathematical relationship between two variables.  

For example, one can say that for every 11 green balls, there are 7 white balls.

In this example, the relationship of green and white balls can be expressed mathematically as 11:7.  In other words, it means that there are 61% green balls where there are 39% white balls.

Ratio = 11:7

Sum of ratio = 18 (11 + 7)

In percent terms, 11/18 = 61% (11/18 x 100)

Whereas 7/18 = 39% (7/18 x 100)

Thus, the ratio 11:7 is equivalent to 61% and 39%.

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The missing values of y are 19, 29, 34,  and 49.

The values of y missing in the table is determined by substituting the value of x into the given linear equation.

y = 4 + 5x

when x = 3, the value of y is calculated as;

y = 4 + 5 (3) = 19

when x = 5, the value of y is calculated as;

y = 4 + 5 (5) = 29

when x = 6, the value of y is calculated as;

y = 4 + 5 (6) = 34

when x = 9, the value of y is calculated as;

y = 4 + 5 (9) = 49

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Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Answer:

$14.04

Step-by-step explanation:

to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%

19.5 * 72% = 14.04

it costs $14.04 after a markdown of 28%

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

12

Step-by-step explanation:

Answer:

12 yards per hour

Step-by-step explanation:

The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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According to this inequality, the number of persons attending a theatrical inequality  play, denoted by p, must be less than or equal to 275 in order for everyone to have a seat.

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. We resuming our current status quo. Yet a variety of things lead to inequality: Negative values on both sides are split or added.

a. The disparity in representing the voting age in the United States is as follows:

a ≥ 18

In order to be eligible to vote, a voter's age, denoted by a, must be more than or equal to 18 years old.

b. The inequality used to depict a theater's seating capacity is:

p ≤ 275

According to this inequality, the number of persons attending a theatrical play, denoted by p, must be less than or equal to 275 in order for everyone to have a seat.

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When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.

A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.

When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.

This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.

Therefore, the answer is option B: Y decreases and X increases.

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A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)

We are given the equation that we are working with:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

We are given certain values that the variables, in this case, are equal to:

A = 136

\(b_{1}\) = 7

h = 16

Substitute the given variables in the given equation for the corresponding numbers:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

We know all the values in the equation except  \(b_{2}\). In order to find  \(b_{2}\) we must isolate it on one side of the equation

136 = 8 (7 + \(b_{2}\))

\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)

17 = 7 + \(b_{2}\)

17 - 7 = 7 - 7 + \(b_{2}\)

10 =   \(b_{2}\)

If   \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

136 = \(\frac{1}{2}\) * 16 (7 + 10)

136 = \(\frac{1}{2}\) * 16 (17)

136 = 8 (17)

136 = 136

\(b_{2}\) = 10

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Employing the identity (a+b)² = a² + 2ab + b², where a and b are any real numbers.

Substituting  a and b with a and x/y, respectively:

(a + x/y)² = a² + 2a(x/y) + (x/y)²

(a + x/y)² = (a + x/y)(a + x/y)

= a² + ax/y + ax/y + x²/y²

= a² + 2ax/y + x²/y²

add a² to both sides of the equation:

a² + (a + x/y)² = a² + 2ax/y + x²/y² + a²

a² + (a + x/y)² = (a² + x²/y²) + 2ax/y + a²

xy = a² substitute a² for xy in the last term:

a² + (a + x/y)² = (a² + x²/y²) + 2axy/xy + a²

a² + (a + x/y)² = (a² + x²/y²) + 2a + a²

We have that  x²/y² = (xy)/(y²) = a/y, and substituting this back into the equation:

a² + (a + x/y)² = (a² + a/y + a/y) + 2a + a²

= 2a² + (2a/x) + (2a/y)

A real number is described as a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

Therefore from the mathematical expression shown above, we have shown that:

a² + (a + x/y)² = 2a² + (2a/x) + (2a/y)

This is the mathematical expression we wanted to prove.

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Answer:

0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 450, \sigma = 60\)

Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

This is the pvalue of Z when X = 312. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{312 - 450}{60}\)

\(Z = -2.3\)

\(Z = -2.3\) has a pvalue of 0.0107

0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

Answer:

7x - y = -7

Step-by-step explanation:

Hope this helps!

The answers are a- 36

b- 9

c-0.1111

In mathematics or the field of statistics, probability is defined as the extent or the likelihood of something happening.

(a)- We have two dice in this question,

A die is known to be make up of 6 faces.

Therefore, the number of faces for two dice = 6 x 6

= 36

(b)- Out of these two dice, one die has 3 odd numbers and three even numbers,

Therefore,

the number of even number outcomes for both dice = 3 x 3

= 9

(c)- The probability of having an even number,

This is 1/9, remember 9 is the total number of even numbers = 0.1111

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Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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The resultant of the movement of the runner is 290.087 yards

The cosine rule states that if a , b ,c are sides of a triangle and A,B ,C are the opposite angles of the sides, then, c² = a² + b² − 2ab cos(C).

The law of cosines is useful for solving a triangle when all three sides or two sides and their included angle are given.

c² = 250² + 110² -2( 110) (250) cos 100

c² = 62500 + 12100 - 55000(-0.1738)

c² = 74600 + 9570

c² = 84170

c = √ 84170

c = 290.87 yards

Therefore the resultant of the runner pathway is 290.87 yards

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The percentage of items that can be recycled is 12%