What is the slope of the line that goes through (5,-11) and (-9, 17)?

Answer:

22.5

Step-by-step explanation:

45% = .45

.45 x 50 = 22.5

REMEMBER: "Of" Always means to multiply.

Answer:

Step-by-step explanation:

22.5 but if you wanna round it will be 23 cmon

The measure of angle y is 116 ⁰.

First we need to find the value of angle DCO and the value of angle DOC.

∠ DCO = 90 - 58⁰ ( angle subtended by diameter of a circle )

∠ DCO = 32⁰

line OC = OD = radius of the circle

∠ DCO = ∠ DOC = 32⁰

Now, the measure of angle y is calculated as follows;

∠ ODC + ∠ DCO + ∠ DOC = 180 ( sum of angles in a triangle )

y + 32 + 32 = 180

y + 64 = 180

y = 180 - 64

y = 116⁰

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Using the triangle sum theorem, x = 7 and y = 18.

The theorem that says that all the interior angles of a triangle will be equal to 180 degrees is referred to as the triangle sum theorem.

In the diagram given, since vertical angles are congruent, therefore:

(11x - 9) + (6x - 2) + 72 = 180 [triangle sum theorem]

Solve for x

11x - 9 + 6x - 2 + 72 = 180

17x + 61 = 180

17x = 180 - 61

17x = 119

x = 7

Also,

(5y - 8) + (11x - 9) + 30 = 180 [triangle sum theorem]

5y - 8 + 11x - 9 + 30 = 180

5y + 13 + 11x = 180

Plug in the value of x

5y + 13 + 11(7) = 180

5y + 13 + 77 = 180

5y + 90 = 180

5y = 180 - 90

5y = 90

y = 90/5

y = 18

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Answer:Which of the following is part of the set of integers?

negative whole numbers

zero

natural numbers

positive whole numbersWhich of the following is part of the set of integers?

negative whole numbers

zero

natural numbers

positive whole numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

78%

Step-by-step explanation:

39/50×100%

= 39×2%

= 78%

Answered by GAUTHMATH

Answer:

78%

Step-by-step explanation:

Divide 39 by 50 and then multiply by 100 and you get the percentage and that goes for all fractions if you wanna change them into percent form. If you want it to be decimal just don't multiply the 100 at the end.

It would be 1 by 3

Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.

also im learning the same thing right now lol

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

Answer:

95.44%

Step-by-step explanation:

We can find the percentage of area lies within 2 standard deviations of mean by computing P(-2<Z<2).

So,

P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)

Using normal area table P(0<Z<2)=0.4472. So,

P(-2<Z<2)=0.4472+0.4772

P(-2<Z<2)=0.9544

Thus, the 95.44% of area lies within 2 standard deviations of mean.

If you have an independent group design and ordinal data, the most appropriate test to be used is Kruskal Wallis test.

This is also referred to as one-way ANOVA on ranks and it is used to make comparison between two or more independent samples which have equal or different sample sizes.

It is also the most suitable when the sample contains an independent group design and ordinal data thereby making it the correct choice.

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Answer:

This is a function and there is no value of x for which we will get two or more different values of y.

Step-by-step explanation:

Now, this is a function and there is no value of x for which we will get two or more different values of y

The equation is y = 2x

bye

Answer:

w=95

Step-by-step explanation:

The sampling distributions reach a normal distribution as sample sizes increase.

For the given statement in the question-

As sample sizes grow larger, sampling distributions reach a normal distribution.

The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).

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If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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The function with zeros -3,-1,0 and 6 is  \(f(x)=x(x+1)(x+3)(x+6)\)

Given that the function has zeros at -3, -1,0 and 6.

If a is a zero of a function f(x), then f(a)=0. Also (x-a) will be a factor of f(x).

Thus here, f(-3)=0, f(-1)=0,f(0)=0 and f(6)=0.

That is the function will have the factors (x+3), (x+1), x and (x-6).

Hence the function f(x) can be defined as the product of these factors.

Thus, the function with zeros -3, -1, 0 and 6 will be

\(f(x)=x(x+1)(x+3)(x+6)\)

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Answer: The method of substitution involves three steps:

Step-by-step explanation:

Solve one equation for one of the variables.

Substitute (plug-in) this expression into the other equation and solve.

Substitute the value into the original equation to find the corresponding variable. here i helped ya

Answer:

12x + 4

Step-by-step explanation:

ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.

length = 2x-3

width = 4x+5

the perimenter is the total of the 4 sides.

2(2x-3) = 4x-6 (the total for lengths)

2(4x+5) = 8x+10 (the total for widths)

add the 2 together:

12x+4

Answer:

2(2x - 3) + 2(4x + 5)=  OR 12x + 4

Step-by-step explanation:

First, we need to know the formula of calculating the perimeter

The formula is 2(Length) + 2(Width) = Perimeter

The length is 2x - 3

The width is 4x + 5

Now fill in the known dimensions in the formula

2(2x - 3) + 2(4x + 5)= perimeter

This expression can be used to represent the perimeter of Rectangle ABCD, though (depending on the teacher) it is not simplified.

We remove the brackets by multiplying the number that's outside the brackets by the numbers or figures inside.

hence, 4x - 6 + 8x +10 = the perimeter

Note: A negative multiplied by a negative equals a positive. A positive multiplied by a negative and vice versa equals a negative. A positive multiplied by a positive equals a positive.

We can now simplify further by adding like terms. i.e, x + x, and integers + integers.

4x + 8x - 6 + 10 = the perimeter

12x + 4 = the perimeter

The perimeter can be represented by the expression, 12x + 4

Or (depending on the teacher,) 2(2x - 3) + 2(4x + 5)=

To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.

To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
  - Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
  - To obtain y′, connect an input line from y to a NOT gate.
  - Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
  - Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.

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Answer:

Step-by-step explanation:

17-8=9 but if 18-7=11 then 19-8=7

The three-inch cube would be worth \(9\text{ lb}\times $20/\text{lb} = $180$.\)

Since the cube is made of silver, we know that the ratio of volume to weight is constant, meaning that the density of silver is the same throughout the cube. Therefore, if a two-inch cube of silver weighs 3 pounds, then its volume is \($(2\text{ in})^3=8\text{ in}^3$\) and its density is \(3\text{ lb}/8\text{ in}^3 = 0.375\text{ lb/in}^3$.\)

Now let's consider a three-inch cube. Its volume is \($(3\text{ in})^3=27\text{ in}^3$\), which is 3 times the volume of the two-inch cube. Since the density is the same, the weight of the three-inch cube will be 3 times the weight of the two-inch cube, or \(3\times 3\text{ lb}=9\text{ lb}$.\)

To find the value of the three-inch cube, we need to know the price of silver per pound. Let's assume it's \($$20$\) per pound (this is just an example). Then the three-inch cube would be worth \(9\text{ lb}\times $20/\text{lb} = $180$.\)

In general, the value of the three-inch cube would be proportional to the weight and the price of silver per pound.

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You can expect approximately 46 seeds to sprout from a packet of 50 seeds.

Based on the given information, we know that the germination rate for the bush bean seeds is 92%, which means that 92 out of 100 seeds planted and tended according to the directions will sprout. We also know that the selection of seeds for packets is random and all seeds are independent of one another. Therefore, we can use the binomial probability formula to determine the expected number of seeds that will sprout:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:
n = 50 (number of seeds in the packet)
k = number of seeds that sprout
p = 0.92 (probability of a seed sprouting)
1-p = 0.08 (probability of a seed not sprouting)

Using this formula, we can calculate the expected value of X as follows:

E(X) = n * p
E(X) = 50 * 0.92
E(X) = 46

Therefore, we can expect around 46 seeds to sprout out of the 50 seeds in the packet. However, it's important to note that this is only an expected value and the actual number of seeds that sprout may vary.

To determine how many bush bean seeds you can expect to sprout from a packet of 50 seeds, you can use the germination rate provided and the assumption that all seeds are independent of one another.

Given:
- Germination rate = 92%
- Total seeds in the packet = 50

Since the seeds are independent, you can simply multiply the germination rate by the total number of seeds to calculate the expected number of seeds that will sprout.

Expected sprouts (X) = Germination rate × Total seeds
X = 0.92 × 50
X ≈ 46

So, you can expect approximately 46 seeds to sprout from a packet of 50 seeds.

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Divide the length of the longest side of triangle AFB by the longest side of triangle DHG to find the scale factor.

Triangle AFB: A=4 cm, B=5 cm, F=7 cm

Triangle DHG: D=2.8 cm, H=3.5 cm, G=4.9 cm

Scale factor = 7/4.9 = 1.43

Step by explanation

Step 1: Draw triangle AFB on a piece of paper.

Step 2: Measure the side lengths of triangle AFB and record them.

Step 3: Draw a second triangle, DHG, on the paper.

Step 4: Measure the side lengths of triangle DHG and record them.

Step 5: Divide the length of the longest side of triangle AFB by the longest side of triangle DHG to find the scale factor.

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The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

I took the test

z-score represents the data point is 2.5 standard deviations away from 0.5. Then the correct option is D.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

A set of data has a mean of 0.5 and a standard deviation of 0.01. A data point of the set has a z-score of 2.5.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

z-score represents the data point is 2.5 standard deviations away from 0.5.

Thus, the correct option is D.

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Answer:

870 meters

Step-by-step explanation:

To find the difference between the distances they walked, we need to calculate the distance each person walked.

We can use the formula distance = speed x time.

Naeem's speed is 1.3 m/s and he took 5 minutes to get to school which is equal to 300 seconds. Therefore, Naeem walked a distance of:

distance = speed x time

distance = 1.3 m/s x 300 s

distance = 390 m

Fina's speed is 1.4 m/s and she took 15 minutes to get to school which is equal to 900 seconds. Therefore, Fina walked a distance of:

distance = speed x time

distance = 1.4 m/s x 900 s

distance = 1260 m

The difference between the distances they walked is:

1260 m - 390 m = 870 meters.

Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.