Solve each system by sunstitution
y=7x-3
7x-6y=18

Answer:

The mean and variance of a y is 5 and 9 respectively.

Step-by-step explanation:

Let x1 and x2 be independent random variables.

Suppose the mean and variance of x1 are 2 and 4, respectively. Suppose, the mean and variance of x2 are 3 and 5, respectively. We need to find the mean and variance of y.

Mean of y,

The mean of y is given by the sum of the means of x1 and x2.

Mean of y = Mean of x1 + Mean of x2

Mean of y = 2 + 3

Mean of y = 5

Thus, the mean of y is 5.

Variance of y,

The variance of y is given by the sum of the variances of x1 and x2.

Variance of y = Variance of x1 + Variance of x2

Variance of y = 4 + 5

Variance of y = 9

Thus, the variance of y is 9.

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\(\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}\)

so ,

\(new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs\)

hσpє hєlpful~

Based on the information given the selling price of the pen set is $189.

Using this formula

Selling price=Selling price of pen+(Profit percentage× Selling price of pen)

Let plug in the formula

Selling Price=$150 +( 26% ×$150)

Selling Price=$150 +$39

Selling Price=$189

Inconclusion  the selling price of the pen set is $189.

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Is used to estimate the concentration of viable microorganisms in a sample by means of replicating liquid broth growth in ten-fold dilutions.

According to the Side Angle Side (SAS) postulate, two sides and the included angle of one triangle must be congruent to two sides and the included angle of another triangle in order for these two triangles to be considered congruent.

A is measured at a 40° angle. Measurement in mathematics refers to the quantification of a variety of quantities, including length, weight, capacity, and volume. Any amount is measured and expressed in two parts: a numerical value and the particular unit.

The most often measured quantities are the following: Length. Measurement units can be expressed in writing as symbols, words, or abbreviations. Use the following words for fundamental measuring units: 25 pounds, 12 inches. Use the following symbols to denote derived units of measurement: 38 mph, 27 ft/s2.

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Answer:

it would be c

Step-by-step explanation:

Given:

A transformation was performed on PQRS to form P'QʻR'S'.

To find:

The transformation.

Solution:

The given graph shows two similar polygons. It means, dilation was performed.

From the given graph it is clear that,

\(PS=2\) units

\(P'S'=1\) units

Now,

\(\text{Scale factor}=\dfrac{P'S'}{PS}\)

\(\text{Scale factor}=\dfrac{1}{2}\)

A dilation factor of \(\dfrac{1}{2}\) was performed on PQRS to form P'QʻR'S'.

Therefore, the correct option is (3).

Answer:

Angle 1: 53

Angle 2: 72

Angle 3: 55

Angle 4: 127

Angle 5: 53

Angle 6: 66

Angle 7: 125

When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Linear equations are generally represented in the form

y = mx + c

The y-intercept is the point at which the graph touches the y - axis

In the question, we are given an equation f(h) = 8h + 10

The slope and y - intercept here are 8 and 10 respectively.

However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.

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Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

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This is an example of deductive reasoning. Deductive reasoning is a logical process where a conclusion is drawn from previously known facts or observations.

In this case, the fact that the person's birthday is six days after their sister's birthday, and the person's birthday is on the 12th, allows us to deduce that the sister's birthday must be on the 18th. The conclusion is derived directly from the given facts, without the need for additional observation or evidence.

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Answer:

sorry I dont know

Step-by-step explanation:

We know that seventeen more than four times a number is equal to the difference between 29 and twice the number and we need to find the number.

To find the number we can use expressions

1. seventeen more than four times a number

We can represent this as

2. the difference between 29 and twice the number

We can represent this as

Now, since seventeen more than four times a number is equal to the difference between 29 and twice the number we can equal the two expressions

Where, x represents the number we need to find

Finally, we must solve the equation for x

Then, the number is 2

ANSWER:

The number is 2.

Answer:

If x = 0, then the value of the polynomial = 0

Step-by-step explanation:

Given that ;

F(x ) = 5x - 4x^2

Substituting 0 for x we have;

F(0) = 5(0) -4(0)^2 = 0 + 0 = p

The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

The expression is given as:

8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

Collect the like terms

8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³

Evaluate the like terms

7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³

Rewrite in standard form

n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

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Answer:

The area of the element is approximately 19314.164 square milimeters.

Step-by-step explanation:

We proceed to calculate the area highlighted on image:

1) Calculate the area of the square:

\(A_{\square} = (300\,mm)^{2}\)

\(A_{\square} = 90000\,mm^{2}\)

2) Calculate the area of each circle section:

\(A_{sc} = \frac{\pi}{4}\cdot (150\,mm)^{2}\)

\(A_{sc} = 17671.459\,mm^{2}\)

3) Subtract the areas found in 2) from the area found in 1):

\(A = A_{\square}-4\cdot A_{sc}\)

\(A = 19314.164\,mm^{2}\)

Answer:

<B =121

Step-by-step explanation:

If the angles form a linear pair, they add to 180

6x-19 + 11x-22 = 180

Combine like terms

17x -41 = 180

Add 41 to each side

17x-41+41 = 180+41

17x = 221

Divide by 17

17x/17 =221/17

x =13

<b = 11x-22 = 11*13 -22 = 143-22 =121

According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).

This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.

The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).

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--The given question is incomplete, the complete question is given

"  According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--

Answer:

Expression that can be modeled using the number line is  7 over 10 divided by 1 over 10  

Step-by-step explanation:

Arrow starts from 0 then it goes to 1/10 then to 2/10 then to 3/10 then to 4/10 then to 5/10 then to 6/10 then to 7/10.

Which implies 7/10 is divided into 7 equal parts of the equal length of 1/10 units.    

Hope this helps you :)

Hello!

Five times x increased by three times y is  5x + 3y

If A is a symmetric matrix, then A³ is also a symmetric matrix.

To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.

Now, let's look at A³:

A³ = A * A * A

We can replace each A with A^T, since they are equal:

A³ = A^T * A^T * A^T

Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:

A³ = (A^T * A^T * A^T)^T

A³ = (A^T)^T * (A^T)^T * (A^T)^T

Since the transpose of a transpose is the original matrix, we can simplify:

A³ = A * A * A

Therefore, A³ is also a symmetric matrix.

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Answer:

3/10+4/10=7/10

Step-by-step explanation:

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

\(\frac{new}{old}\)

then reduce or divide

The nth term of the sequence 100 is 592

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

\(a, ar, ar^2, ar^3, \cdots\)

 (till the terms to which it is defined)

Thus, the nth term of such sequence would be  \(T_n = ar^{n-1}\) (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

Given;

Sequence=-2,4...

D=4-(-2)

=6

Now, we have to find 100th term

So, n=100

an = a + (n – 1)d

=-2+(100-1)6

=-2+99x6

=592

Therefore, the answer of given sequence will be 592

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The probability that this group of four students includes at least two of the top three geography students in the class using hypergeometric distribution is 0.0452 or 4.52%.

In the given scenario, the students are chosen without replacement, hence the hypergeometric distribution is used. The hypergeometric distribution refers to a discrete probability distribution that describes the probability of k successes (random draws for which the object drawn has a specified feature) in n draws, without replacement, from a finite population of size N that contains exactly k objects with that feature, wherein each draw is either a success or a failure. The formula is given as

P(X=x) = h(x, N, n, k) = Ck,x Cn-k,n-x/ CN,n

Cn,x = n!/(x!(n-x)!)

Based on the information provided,

x is the number of successes

N is the size of the population = 28

n is the size of the sample = 4

k is the total number of desired outcomes = 3

The probability that this group of four students includes at least two of the top three geography students in the class is:

P (X ≥ 2) = P(X = 2) + P(X = 3)

P(X = 2) = h(2,28,4,3) = C3,2 C25,2/ C28,4 = 0.044

P(X = 3) = h(3,28,4,3) = C3,3 C25,1/ C28,4 = 0.012

Hence,

P (X ≥ 2) = P(X = 2) + P(X = 3) = 0.044 + 0.012 = 0.0452 or 4.52%

Note: The question is incomplete. The complete question probably is: In a class of 28 students, the teacher selects four people at random to participate in a geography contest. What is the probability that this group of four students includes at least two of the top three geography students in the class.

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Answer:I think its multiply

Step-by-step explanation: 90 x 2 = 180

Answer:

D

Step-by-step explanation:

Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.

The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.

The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:

First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:

P(Ace on first draw) = 4/52 = 1/13

Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:

P(Ace on second draw given an ace on first draw) = 3/51

To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:

P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)

P(Drawing two aces) = (1/13) x (3/51)

P(Drawing two aces) = 0.0045 or approximately 0.45%.

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