Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each
touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one
fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were
made during the game? Write and solve a system of equations to get your answer.

Answer:

Step-by-step explanation:

P(Red)=0.35

P(Green)=0.4

(a)Since there are three colours inside the bag

P(Red)+P(Green)+P(Yellow)=1

0.35+0.4+P(Yellow)=1

P(Yellow)=1-(0.35+0.4)

P(Yellow)=0.25

(b) In probability, the sum of an event and its complement is 1.

Therefore:

P(Red)+P(Not Red)=1

0.35+P(Not Red)=1

P(Not Red)=1-0.35

P(Not Red)=0.65

You didnt write the whole question :)

The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.

In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.

To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.

However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.

Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.

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Answer:

a=6

b=2

Step-by-step explanation:

42 divided by 7 gives you "a" which is 6

6 divided by 3 is 2

2 divided by "b" (2) is 1

We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:

In order to use t*, we need to check conditions for using a t-distribution first.

Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.

Solve for t*:

We need the tail area first.

Next we need the degree of freedom.

The degree of freedom can be found by subtracting the degree of freedom for A and B.

The general formula is df = n - 1.

Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.

Now we can use the formula at the very top to construct a confidence interval for two sample means.

Substitute the variables into the formula: \(\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }\).

Simplify this expression.

Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:

If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...

We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.

The place with the highest temperature is Oslo.

The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .

The new temperature in Moscow is 11 degrees Celsius .

When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.

The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:

= - 4 . 3 - ( - 9 . 5 )

= - 4.3 + 9 .5

= 5. 2 degrees Celsius

The new temperature in Moscow is:

= - 7.9 - 3.1

= 11 degrees Celsius

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Answer:

C

Step-by-step explanation:

given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12

Given that there are no favorable events, there is no probability that the machine will be running at 1300 hours.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

It is based on the probability that something will happen.

The fundamental underpinning of theoretical probability is the justification for probability.

For instance, while flipping a coin, there is a 12-percent probability that it will land on its head.

Thus, this is the probability formula:

P(E) = Favorable events/Total events

Now, we have a battery that works for 25 hours.

We have 50 batteries.

Then the number of hours will be:

50 * 25 = 1,250 hours

Then, favorable events will be 0.

Hence, the probability will be 0.

Therefore, given that there are no favorable events, there is no probability that the machine will be running at 1300 hours.

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Stress fracturing is a term used in the fire investigation community to describe a complicated pattern of short cracks in glass arising from this condition.

When a flame comes into contact with one side of a glass pane, it heats that side, causing it to expand. At the same time, the unexposed side of the glass remains relatively cool and does not expand as much. This temperature gradient creates non-uniform expansion and differential stresses within the glass. As a result, the glass may fracture between the faces, forming a complex pattern of short cracks.

Stress fracturing is a phenomenon commonly observed in fire investigations, particularly in situations where rapid heating or cooling of glass occurs. It is important to understand and analyze these patterns to gain insights into the behavior of glass under fire conditions and to help determine the sequence of events during a fire incident.

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The original fraction can be found using algebraic equations. Let the numerator be "x" and the denominator be "y". We know that x + y = 53 and (x-5)/y = 1/2. Solving for x and y, we find that the original fraction is 21/32.

Let the numerator of the original fraction be "x" and the denominator be "y". We know that the sum of the numerator and denominator is 53, so we can write the equation x + y = 53.

We also know that if we reduce the numerator by 5, we get a new fraction that can be converted into 1/2. This means that (x-5)/y = 1/2. We can simplify this equation by cross-multiplying and then rearranging the terms to get 2(x-5) = y.

Now we have two equations: x + y = 53 and 2(x-5) = y. We can substitute the second equation into the first equation to get x + 2(x-5) = 53. Simplifying this, we get 3x - 10 = 53, which gives us 3x = 63 and x = 21.

We can now use either equation to find y. Using the second equation, we get y = 2(x-5) = 2(21-5) = 32.

Therefore, the original fraction is x/y = 21/32.

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The solution to the system of equations is x = 11.5 and y = -27.5.

The solution to the system of equations is x = 2 and y = 1

The solution to the system of equations is x = -12 and y = 7.

The solution to the system of equations is x = 0.5 and y = -6.

A system of linear equations can be solved graphically, by substitution, by elimination, and by the use of matrices.

To solve the system of equations:

3x + y = 7

5x + 3y = -25

We can use the method of substitution or elimination to find the values of x and y.

Let's solve it using the method of substitution:

From the first equation, we can express y in terms of x:

y = 7 - 3x

Substitute this expression for y into the second equation:

5x + 3(7 - 3x) = -25

Simplify and solve for x:

5x + 21 - 9x = -25

-4x + 21 = -25

-4x = -25 - 21

-4x = -46

x = -46 / -4

x = 11.5

Substitute the value of x back into the first equation to find y:

3(11.5) + y = 7

34.5 + y = 7

y = 7 - 34.5

y = -27.5

Therefore, the solution to the system of equations is x = 11.5 and y = -27.5.

To solve the system of equations:

2x + y = 5

3x - 3y = 3

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 and the second equation by 2 to eliminate the y term:

6x + 3y = 15

6x - 6y = 6

Subtract the second equation from the first equation:

(6x + 3y) - (6x - 6y) = 15 - 6

6x + 3y - 6x + 6y = 9

9y = 9

y = 1

Substitute the value of y back into the first equation to find x:

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations:

2x + 3y = -3

x + 2y = 2

We can again use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express x in terms of y:

x = 2 - 2y

Substitute this expression for x into the first equation:

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

Simplify and solve for y:

4 - 4y + 3y = -3

-y = -3 - 4

-y = -7

y = 7

Substitute the value of y back into the second equation to find x:

x + 2(7) = 2

x + 14 = 2

x = 2 - 14

x = -12

Therefore, the solution to the system of equations is x = -12 and y = 7.

To solve the system of equations:

2x - y = 7

6x - 3y = 14

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 to eliminate the y term:

6x - 3y = 21

Subtract the second equation from the first equation:

(6x - 3y) - (6x - 3y) = 21 - 14

0 = 7

The resulting equation is 0 = 7, which is not possible.

Therefore, there is no solution to the system of equations. The two equations are inconsistent and do not intersect.

To solve the system of equations:

4x - y = 6

2x - y/2 = 4

We can use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express y in terms of x:

y = 8x - 8

Substitute this expression for y into the first equation:

4x - (8x - 8) = 6

Simplify and solve for x:

4x - 8x + 8 = 6

-4x + 8 = 6

-4x = 6 - 8

-4x = -2

x = -2 / -4

x = 0.5

Substitute the value of x back into the second equation to find y:

2(0.5) - y/2 = 4

1 - y/2 = 4

-y/2 = 4 - 1

-y/2 = 3

-y = 6

y = -6

Therefore, the solution to the system of equations is x = 0.5 and y = -6.

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Answer:

HERE

Step-by-step explanation:

MARK ME BRAINLIST PLEASE

Answer:

x = -2+3y I hope this help

let x = the brand of dressing with 5% vinegar

let y = the brand of dressing with 13% vinegar

Then

So,

we replace x:

Therefore, for x:

Answer:

80 ml for 5% vinegar

240 ml for 13% vinegar

Answer:

Patty's Printing costs $20 less than Guy's Graphix for 20 jersey's.

Step-by-step explanation:

1st. Find the total cost of Guy's Graphix:(7.50*20)+30=$180

2nd. Find the total cost of Patty's Printing:(5.50*20)+50=$160

3rd. Subtract to confirm answer:180-160=$20

the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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Answer:

Counting my money

Step-by-step explanation:

Answer: You use it in gardening if you need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. So even without thinking you are doing math. Measuring skills is always needed, and calculations of the essence when doing something new in the garden. You also use in it the kitchen Every ingredient has to be measured and sometimes you need to multiply or divide to get the exact amount you need.

The ideal travel angle for manual cutting operations is a push angle of 30-45 degrees.

Explanation: When performing manual cutting operations, it is important to consider the travel angle, which refers to the direction in which the cutting tool moves in relation to the workpiece. The recommended travel angle for most cutting operations is a push angle of 30-45 degrees. This means that the cutting tool should be positioned at an angle, pushing forward against the workpiece as it cuts. This angle allows for optimal cutting efficiency and control.

A push angle within this range ensures that the cutting force is distributed evenly, minimizing the risk of tool slippage or workpiece damage. It also helps to maintain good visibility of the cutting path, reducing the chances of errors or accidents. Additionally, the push angle allows the operator to exert sufficient downward pressure on the cutting tool, aiding in effective material removal. Overall, a push angle of 30-45 degrees is considered the most effective for achieving accurate and efficient manual cutting operations.

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Step-by-step explanation:

x^3+x^2+4x+4=0

x³+x²+4x=-4

x(x²+x+4)=-4

either

x=-4

or

x²+x+4=-4

x²+x+4+4=0

x²+x+8=0

comparing with ax² +bx+c

a=1

b=1

c=8

x={-1±√{1²-4×1×8}}/2×1

x={-1±√{-31}}/2

Answer:

Step-by-step explanation:

(-5/3)(-5/3)= 25/9= 2 7/9

Answer: 192,000

Step-by-step explanation:

Answer:

Frfr shi b boring ash ........... ahhhhh

Step-by-step explanation:

Step-by-step explanation:

Basically, let's represent the amount of money earned in

July with x

and

August with x+90

x+(x+90)=350

2x+90=350

2x=350-90

2x=260

x=260÷2

x=130

So, Wanda earned $130 babysitting in July and in July, 130+90=$220.

Hope this helps!

Answer:

The number of times he visited the gym is 19 times.

Step-by-step explanation:

A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):

Let the number of times he visits the gym be represented as x

A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195,

The Amount he spends = $195

= $100 + $5 × x

$195 = $100 + 5x

5x = $195 - $100

5x = $95

x = 95/5

x = 19 times

Therefore, the number of times he visited the gym is 19 times.

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

Answer: 0

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Slope is a value that describes the steepness and direction of a line.

A line with a negative slope, said to be decreasing, runs downwards from left to right.

A line with a positive slops, said to be increasing, runs upwards from left to right.

A horizontal line has a slope of zero because y does not change. A vertical line has an undefined slope because you cannot divide by zero (x does not change).

I hope this helps to understand :)

Answer:

Hamid's original weight was 80 kgs

Answer:

I say it's a

Step-by-step explanation:

I hope this help

Answer:

B

Step-by-step explanation:

If we count the number of points we find out that there are 36 employees

so the fraction must go like x/36

x is the numbers of dots that are less than a 1/2 which are 1/8, 1/4 and 3/8

so x=6

6/36

1/6

so option B

\(35pq^2=5\cdot7\cdot p\cdot q^2\\-14pq^2=-1 \cdot 2\cdot 7\cdot p \cdot q^2\\-21p^2q^3=-1\cdot 3\cdot 7\cdot p^2 \cdot q^3\\\\\text{hcf}(35pq^2,-14pq^2,-21p^2q^3)=7\cdot p \cdot q^2=7pq^2\)

Yes

Step-by-step explanation:

its a direct-variation function