Solve the system by substitution.
9x + 7y = 33
-6x = y

The correct answer is (c) between 0 and infinity. This can be answered by the concept from F statistic.

The F statistic, which is used in ANOVA (Analysis of Variance), is calculated as the ratio of the variance between groups to the variance within groups. Since variance is always a positive value (it measures the spread or dispersion of data), the F statistic will always be greater than or equal to 0.

Furthermore, the F statistic follows an F-distribution, which is a continuous probability distribution that ranges from 0 to infinity. The F-distribution has a skewed shape, with most of the values clustered towards 0 and decreasing as the values get larger. This means that the F statistic can take on values anywhere between 0 and infinity, but it cannot be negative.

Therefore, when conducting an ANOVA, FDATA will always fall within the range of 0 to infinity.

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Answer: 3.75 + - 7

Step-by-step explanation:

1.5x - 3 + 1.5x - 3 + 0.75x - 1

1.5x + 1.5x + 0.75x - 3 + - 3 + - 1

3.75x + - 7

Answer:

p = 1/3

Step-by-step explanation:

Total days in April = 30

Two digit odd days = 10

p =10/30

p = 1/3

Answer:

if the odd number is 2 then it will be 2/4 that would be the probability.

Using the normal distribution, the probabilities are given as follows:

a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.

b. More than 16 cases with side effects: 0.0174 = 1.74%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the equation presented below:

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

The parameters for the binomial distribution in this problem are given as follows:

p = 0.05, n = 200.

Hence the mean and the standard deviation of the approximation are given as follows:

For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:

X = 12.5:

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

Z = (12.5 - 10)/3.08

Z = 0.81

Z = 0.81 has a p-value of 0.7910

X = 7.5:

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

Z = (7.5 - 10)/3.08

Z = -0.81

Z = -0.81 has a p-value of 0.2090.

0.7910 - 0.2090 = 0.582 probability.

For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:

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

Z = (16.5 - 10)/3.08

Z = 2.11

Z = 2.11 has a probability of 0.9826.

1 - 0.9826 = 0.0174 = 1.74% probability.

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 Total volume of the salt shaker is 56.52+706.5=763.02 cm³

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.

Given here: The volume of a salt shaker  

The radius of the salt shaker which is 5 cm

Thus the volume of the cylinderical salt shaker is = π×3²×5²

                                                                                  =706.5 cm³

and the volume of the hemisphere at the top is=  (2/3)πr³

                                                                               =56.52 cm³

Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³

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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

5x + 18 = 7x - 6

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

And we have our final answer!

From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.

The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.

Radius r= 3 inches

Height h= 10 inches

π = 3.14159

Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:

V = (1/3) × 3.14159 × 3² × 10

V ≈ 94.24777 cubic inches

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Answer: − 2.3 d  +  3.5 h  −  14

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

c = cell phone cost

t = 5c

computer = 2.5 t = 2.5 ( 5c) =12.5 c

The total = 925

c+t+ computer = 925

c + 5c+ 12.5c = 925

Combine like terms

18.5 c = 925

Divide each side by 18.5

18.5c /18.5 = 925/18.5

c = 50

Answer:

Step-by-step explanation:

From the end of the problem to the beginning of the problem (this is often how you need to "decipher" story problems...go at it backwards!), we see that the cost of everything Tony bought is, in the end, based on the cost of the cell phone. The TV is 5 times as much as the cell phone, and the computer is 2.5 times as much as the TV...which is based on the cell phone. So the cell phone is our "main" unknown. We'll call that x.

If the TV is 5 times the cell phone, then the

TV = 5x

If the computer is 2.5 times the TV, then the

computer = 2.5(5x) = 12.5x

The cost of all these added together is 925.  Therefore,

x + 5x + 12.5x = 925 and

18.5x = 925 so

x = 50

The cell phone cost $50. Choice G.

The speed of an airplane is 208 miles per hour.

The speed of wind is 48 miles per hour.  

The distance covered by airplane against the wind = D = 640 miles

The time taken to cover D distance = T = 2.5 hours

Again

The distance covered by airplane with the wind = d = 460 miles

The time taken to cover d distance = t = 2 hours

Let The speed of the airplane = x mile per hour

and the speed of wind = y miles per hour

we know that -

∵ Speed = distance/ time

speed of airplane while moving against the wind

x - y =   D/T

Or, x - y =   640/4

Or, x - y = 160 mph        ........1

speed of airplane while moving with the wind

x + y =   d/t

Or, x + y = 640/ 2.5

Or, x + y = 256 mph        ........2

Now, Solving eq 1 and eq 2, we get,

(x - y) + (x + y) = 160mph + 256mph

Or, (x + x) + ( - y + y) = 416 mph

Or, 2 x + 0 = 416 mph

∴  x = 416/2

i,e x = 208 mph

So, The speed of airplane = x = 208 miles per hour

Now, substitute the value x = 208 in equation 1, we get,

∵  x - y = 160mph

So, 208 mph - y = 160 mph

Or, y = 208 mph - 160 mph

i.e y = 48 mph

So, The speed of wind = y = 48 miles per hour

Hence, The speed of an airplane is 208 miles per hour and the speed of wind is 48 miles per hour.

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Answer:

The area of the patio is 144 square inches

Step-by-step explanation:

A = l × w

A = 12 × 12

A = 144 in²

Answer:

  5(v -2)(v -4)

Step-by-step explanation:

You want to factor completely 5v^2-30v+40.

The coefficients in this quadratic have a common factor of 5. It works nicely to factor that out first.

  = 5(v² -6v +8)

The product of two binomial factors looks like this:

  (v -a)(v -b) = v² -(a+b)v +ab

When you compare this to the quadratic factor (v² -6v +8), you see that ...

  (a+b) = 6

  ab = 8

To find values for 'a' and 'b', it usually works well to start by factoring the product:

  ab = 8 = 1·8 = 2·4

The sums of these factor pairs are 1+8=9 and 2+4=6. The pair with a sum of 6 is what we're looking for. This means we can choose a=2, b=4 and our factorization is ...

  5v² -30v +40 = 5(v -2)(v -4)

__

Additional comment

There are some graphic aids that are sometimes used to help you find the 'a' and 'b' constants in the binomial factors. You may run across the "X" method, where the sum is put in the top (or bottom) of the X, and the product is put in the bottom (or top) of the X. Then the left and right sides are filled with the numbers having that sum and product.

That can help you focus on what you're doing, but the X fundamentally doesn't add anything to the solution process.

Quadratics with leading coefficient not 1

If the leading coefficient of the quadratic cannot be made to be 1, then a slight modification to the method shown here is needed. The factors of ax² +bx +c will be binomial terms generally of the form (px +q)(rx +s). If you play with all of the literals involved, you can convince yourself that you want to find factors of 'ac' that have a sum of 'b'. If those are 'u' and 'v', you can use them a couple of ways. One is to rewrite the quadratic as ...

  ax² +ux +vx +c

which you can factor by grouping:

  (ax² +ux) +(vx +c)

The other way to use these constants is to write the factorization as ...

  (ax +u)(ax +v)/a

Then the division by 'a' can be used to remove constant factors from one or both binomials to reduce them to "prime" factors.

Answer:

A. -13 + i

Step-by-step explanation:

I hope this helps!

The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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The probability of Stephen Curry making exactly three of his next five free throws is 0.3264 or 32.64%.

\(p(x) = nCx * p^x * q^(n-x)\)

where:

n = total number of attempts (5 in this case)

x = desired number of successes (3 in this case)

p = probability of success (0.92 in this case)

q = probability of failure (1 - p, or 0.08 in this case)

Plugging these numbers into the equation gives us:

p(3) = 5C3 * 0.92^3 * 0.08^2 = 0.3264

Stephen Curry is a professional basketball player in the NBA who is known for his incredibly accurate shooting ability. He made 92% of his free throws during the 2018-2019 regular season with the Golden State Warriors. We can calculate the probability of Curry making exactly three of his next five free throws using the binomial probability formula. This formula takes into account the probability of the event (Curry making the free throw) and the number of attempts (five). In this case, the probability of success (Curry making the free throw) is 0.92 and the number of attempts is five. Plugging these numbers into the equation gives us a probability of 0.3264 or 32.64%. This means that Curry has a 32.64% chance of making exactly three of his next five free throws.

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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392.7

To get the answer multiply Density * Volume

Mass = 0.1785 * 2200

Mass = 392.7

The amount of helium present in the hot air balloon = 392.7 kg

d = mass / volume

Given: volume of helium present in a hot air balloon = 2200 cubic meters

density of helium = 0.1785 kilograms per cubic meter

Let, m represents the amount of helium present in the balloon.

Using the formula of density,

density of helium = mass of helium / volume of helium

⇒ 0.1785 = m / 2200

⇒ m = 0.1785 × 2200

⇒ m = 392.7 kg

Therefore, option (c) is the correct answer.

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Circle: a cross-section that goes through the center of the sphere and creates a circular shape.

Point: a cross-section that goes through the center of the sphere and creates a single point.

Answer: 5 cm

Step-by-step explanation:

The volume of a cube can be determined by multiplying a side (s) of the cube by itself three times (cubing it)

So s³=125

Taking the cube root of both sides of the equation you get

s=5

The slope of a line that is parallel to the line containing the points (3, 4) and (2, 6) is -2.

To find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6), we first need to find the slope of the line containing these points. We can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Where:

m = slope

(x1, y1) = coordinates of the first point (3, 4)

(x2, y2) = coordinates of the second point (2, 6)

Substituting the given values, we get:

m = (6 - 4) / (2 - 3)

m = -2

The slope of the line containing the points (3, 4) and (2, 6) is -2.

Since we are looking for a line that is parallel to this line, the slope of the parallel line will also be -2.

Therefore, the slope of the parallel line is -2.

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Answer:

57.5

Step-by-step explanation:

20x - (10 x 110) = 50

=> 20x - 1100 = 50

=> 20x = 1150

=> x = 1150/20

=> x = 115/2

=> x = 57.5

The median is $1314, median of Rebecca is wrong.

The median can be more descriptive of a data set than the average because it is the middle number in a sorted, ascending, or descending list of numbers. The midpoint of the data is the point above and below which half (or 50%) of the observed data falls.

Other descriptive statistics like the mean (average), mode, and standard deviation are frequently compared to the median.

Given costs of laptop $979; $1,349; $1,279; $1,349; $1,899; $2,049; $875; and $1,099.

arranging cost in ascending order,

$875, $979, $1099, $1279, $1349, $1349, $1899, $2099

thee total terms are 8, so median is average of 4th and 5th term

4th term = 1279 and 5th term = 1349

median = (1279 + 1349)/2 = 2628/2

median = $1314

Hence the median of Rebecca is false.

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Movie Domestic Gross ($ millions) The Avengers (2012) 677 Spiderman (2002) 602 Spiderman 2 (2004) 520 Avengers: Age of Ultron (2015) 471 Iron Man 3 (2013) 434 Spiderman 3 (2007) 423 Captain America: Civil War (2016) 408 Guardians of the Galaxy Vol. 2 (2017) 389 Iron Man (2008) 384 Deadpool (2016) 363.

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Answer:4/8 or simplified answer 1/2

Step-by-step explanation:

3/4 + 3/8, first you have to find the highest common factor of 4 and 8.

The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.

6/8 + 3/8= 9/8

9/8 - 5/8= 4/8

The simplified answer is 1/2

Answer:

9$

Step-by-step explanation:

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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Answer:

photosynthesis is the process by which plants use energy from the sun in order to produce energy such as glucose. It mainly uses energy from the sun, carbon dioxide, and water to achieve this.

Pain is a warning signal produced by your body and sent to the central nervous system to tell you of a physical injury. Your body has many pain receptors that can be triggered by a myriad of things like heat or punctures.

the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities.

Pain is a distressing feeling often caused by intense or damaging stimuli. The International Association for the Study of Pain defines pain as "an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissue damage."[1] In medical diagnosis, pain is regarded as a symptom of an underlying condition.

Pain motivates the individual to withdraw from damaging situations, to protect a damaged body part while it heals, and to avoid similar experiences in the future.[2] Most pain resolves once the noxious stimulus is removed and the body has healed, but it may persist despite removal of the stimulus and apparent healing of the body. Sometimes pain arises in the absence of any detectable stimulus, damage or disease.[3]

Answer:

Please mark as brainlest please

The first 12 random numbers between 01 and 99 in the sample are:24, 11, 53, 25, 45, 91, 38, 89, 77, 8, 30, 26

To generate 12 random numbers between 01 and 99 using the given row of numbers, we can use the method of linear congruential generator.

LCG is an algorithm that yields a sequence of pseudorandom numbers. The generator is defined by the recurrence relation:

\($$X_{n+1}=(aX_n+c)\mod m$$\)

Here, m, a, c, and X0 are seed value or starting value. We can use these values to generate the random numbers as follows:

Seed value (X0): 82077

Multiplier (a): 101427

Increment (c): 32147Modulus (m):

\(2^_16\) = 65536

Using these values, we can generate the 12 random numbers as follows:

$$X_1= (101427 × 82077 + 32147) mod 65536

= \(24935X_2\)

= (101427 × 24935 + 32147) mod 65536

= \(11712$$X_3\)

= (101427 × 11712 + 32147) mod 65536

= \(25931$$X_4\)

= (101427 × 25931 + 32147) mod 65536

= \(23255$$X_5\)

= (101427 × 23255 + 32147) mod 65536

= \(61145$$X_6\)

= (101427 × 61145 + 32147) mod 65536

= \(64913$$X_7\)

= (101427 × 64913 + 32147) mod 65536

= \(38138$$X_8\)

= (101427 × 38138 + 32147) mod 65536

= \(29088$$X_9\)

= (101427 × 29088 + 32147) mod 65536

=\(2779$$X_{10}\)

= (101427 × 2779 + 32147) mod 65536

=\(42108$$X_{11}\)

= (101427 × 42108 + 32147) mod 65536

= \(1730$$X_{12}\)

= (101427 × 1730 + 32147) mod 65536

= \(47826$$\)

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