The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3

A researcher is using a chi square test to determine whether people have any preferences among three brands of televisions. The null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

The Chi-square test is a statistical method that is used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in a contingency table. It is used to test whether the observed frequencies of one or more variables differ significantly from their expected frequencies. It can be used for both categorical and numerical data.

The null hypothesis for a Chi-square test is that there is no significant difference between the observed and expected frequencies, i.e., the observed frequencies are similar to what is expected based on chance. The alternative hypothesis, on the other hand, is that there is a significant difference between the observed and expected frequencies.

Here, the researcher is using a chi square test to determine whether people have any preferences among three brands of televisions.

Therefore, the null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

This means that the researcher assumes that there is no significant difference between the observed and expected frequencies of each brand, i.e., the proportions of people who prefer each brand are equal.

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we get that:

1 mole of ZnCl2 P 136.286 grams

136.286 x 4 = 545.144

Round off to 545 grams

Answer:

4. 7 hours   6. 8.57

Step-by-step explanation:

Step-by-step explanation:

Since, Carlos completes the work in 5 hours.

So, in one hour she will do \( =\frac{1}{5}\) part

Since, Jenny completes the work in 9 hours.

So, in one hour she will do \( =\frac{1}{9}\) part

(Carlos + Jenny)'s one hour work together

\( =\frac{1}{5}+\frac{1}{9}\\

= \frac{9+5}{5\times 9}\\

= \frac{14}{45}\\\)

Total time taken by Carlos and Jenny together \( =\frac{45}{14}= 3\frac{3}{14} \: hours\)

Answer:

If y=32 when x=64

Then x=96 if y=48

X= 48*64÷32 = 96

Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

Answer:

780¢

Step-by-step explanation:

A dozen = 12

so 12 * 65 = 780

Answer:

The answer is 780¢

Step-by-step explanation:

Now, we know that 1 dozen = 12

So,

65 × 12 = 780

Thus, The cost of 1 dozen of peaches is 780¢

-TheUnknownScientist 72

Answer:

6t + 909

Step-by-step explanation:

t - tutor (hours)

101 - t = waitress (hours)

$15t + $9(101-t) = 15t + 909 - 9t

6t + 909

Answer:

Height = 108.35 cm

Step-by-step explanation:

Given :-

Radius = 26 cm

Total Volume = 230,000 cm³

To Find :-

Height

Formula Required :-

Volume (cylinder) = π x (radius)² x height

=> height = volume / π x (radius)²

Solving :-

h = 230,000 / (3.14 x 676)

h = 230,000 / 2122.64

Solution :-

Height = 108.35 cm

The probability that a randomly selected value from the normal distribution with mean 208.1 and standard deviation 57.6 is greater than 352.1 is approximately 0.0062 or 0.62%.

The standard normal distribution to solve this problem.

First, we need to standardize the value 352.1 using the formula:

z = \((x - \mu) / \sigma\)

mu is the mean, sigma is the standard deviation, and x is the value we want to standardize.

Substituting the given values, we get:

z = (352.1 - 208.1) / 57.6 = 2.5

A standard normal distribution table or calculator to find the probability that a standard normal random variable is greater than 2.5.

Using a table, we find that this probability is approximately 0.0062.

the common normal distribution to address this issue.

The number 352.1 must first be standardised using the formula z =

X is the value we wish to standardise, mu is the mean, and sigma is the normal deviation.

We obtain the following by substituting the above values: z = (352.1 - 208.1) / 57.6 = 2.5

To determine the likelihood that a standard normal random variable is larger than 2.5, use a standard normal distribution table or calculator.

We calculate this likelihood to be around 0.0062 using a table.

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The probability that a randomly selected value is greater than 352.1 is 0.0062, or approximately 0.62%.

To find the probability that a randomly selected value from a normal distribution is greater than 352.1, we can use the properties of the standard normal distribution.

First, we need to standardize the value of 352.1 using the formula:

z = (x - μ) / σ

where z is the z-score, x is the value we want to standardize, μ is the mean of the distribution, and σ is the standard deviation.

Plugging in the values, we have:

z = (352.1 - 208.1) / 57.6

z = 2.5

Now, we can use a standard normal distribution table or a calculator to find the area under the curve to the right of z = 2.5. This area represents the probability that a randomly selected value is greater than 352.1.

Using a standard normal distribution table or a calculator, we find that the area to the right of z = 2.5 is approximately 0.0062.

Therefore, the probability, P(x > 352.1), is approximately 0.0062 or 0.62%.

This means that there is a very small chance, about 0.62%, of randomly selecting a value from the given normal distribution that is greater than 352.1.

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Answer:

y=-4x-14

Step-by-step explanation:

Lines that are parallel would have the same slope, so the slope is

m= -4

Use point slope equation to solve for the slope intercept equation.

y-y1=m(x-x1)

m= -4

x= -3

y= -2

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

y+2=-4x-12

y=-4x-14

Since PS = RS, the triangle PRS is isosceles. This means the angles SPR and SRP are congruent.

The interior angles of any triangle sum to 180° in measure. So we have

∠SPR + ∠SRP + 90° = 180°

2 ∠SPR + 90° = 180°

2 ∠SPR = 90°

∠SPR = a = 45°

Answer:

The answer is 9

Step-by-step explanation:

You each exponent to get 81/9. You simplify and it gives you 9.

Answer:

The answer is 9

Step-by-step explanation:

if u multiply by the exponents

3^4=81

3^2=9

then divide 81÷9=9

Matrices can be multiplied  products can be found by matrix multiplication the products that can be found by matrix multiplication are AB, CB, CD, DC, DE, and EF.

To determine if two matrices can be multiplied, we need to check if the number of columns in the first matrix is equal to the number of rows in the second matrix.

Let's consider the given matrices:

a, b, c, d, e, and f.

We can write them in matrix form as:

A = [a]

   [b]

B = [c]

   [d]

C = [e]

   [f]

To find the products that can be obtained by matrix multiplication, we need to consider all possible combinations of these matrices. Let's analyze each case:

1. AB:

  Matrix A has dimensions 2x1 (2 rows and 1 column), and matrix B has dimensions 2x2. Since the number of columns in A matches the number of rows in B, we can multiply these matrices. The resulting matrix will have dimensions 2x2.

2. BA:

  Matrix B has dimensions 2x2, and matrix A has dimensions 2x1. The number of columns in B does not match the number of rows in A, so these matrices cannot be multiplied.

3. CB:

  Matrix C has dimensions 2x1, and matrix B has dimensions 2x2. The number of columns in C matches the number of rows in B, so we can multiply these matrices. The resulting matrix will have dimensions 2x2.

4. CD:

  Both matrix C and matrix D have dimensions 2x1. The number of columns in C matches the number of rows in D, so we can multiply these matrices. The resulting matrix will have dimensions 2x1.

5. DC:

  Matrix D has dimensions 2x1, and matrix C has dimensions 2x1. The number of columns in D matches the number of rows in C, so we can multiply these matrices. The resulting matrix will have dimensions 2x1.

6. DE:

  Matrix D has dimensions 2x1, and matrix E has dimensions 1x2. The number of columns in D matches the number of rows in E, so we can multiply these matrices. The resulting matrix will have dimensions 2x2.

7. EF:

  Matrix E has dimensions 1x2, and matrix F has dimensions 2x1. The number of columns in E matches the number of rows in F, so we can multiply these matrices. The resulting matrix will have dimensions 1x1.

Therefore, the products that can be found by matrix multiplication are AB, CB, CD, DC, DE, and EF.

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For a equation of the form:

m = slope

b = y-intercept

for:

(5)

(7)

Answer:

                 \(\bold{\pi=\dfrac c{246}}\)

Step-by-step explanation:

\({}\qquad \bold{c=2\pi r}\\\\{}\qquad\bold{c=2\pi\cdot123}\\\\{}\qquad\bold{c=246\pi}\\\\\div246\qquad\div246\\\\{}\quad\bold{\frac c{246}\,=\,\pi}\)

The given integral is evaluated by using the substitution rule. Integrating by substitution means replacing a given function with another one that makes it simpler to integrate. By putting u = sin(t), and hence du = cos(t) dt, we can easily compute the integral.

The given integral is:
π/2 ∫0 cos (t) / √1+sin^2(t) dt
To evaluate this integral, we will use the substitution rule. Integrating by substitution means replacing a given function with another one that makes it simpler to integrate.
Put u = sin(t), and hence du = cos(t) dt. Then, the given integral becomes:
π/2 ∫0 cos (t) / √1+sin^2(t) dt
= π/2 ∫0 1 / √(1 - u²) du
This is the integral of the function 1 / √(1 - u²), which is a standard integral. We can evaluate it by using the trigonometric substitution u = sin(θ), du = cos(θ) dθ, and the identity sin²(θ) + cos²(θ) = 1.
Thus, we have:
π/2 ∫0 1 / √(1 - u²) du
= π/2 ∫0 cos(θ) / cos(θ) dθ     [using u = sin(θ) and cos(θ) = √(1 - sin²(θ))]
= π/2 ∫0 1 dθ
= π/2 [θ]0π/2
= π/4
Therefore, the given integral evaluates to π/4.

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Answer:

7

Step-by-step explanation:

The probability that the sample proportion of riders who leave an item behind is more than 0.15.

To find the probability that the sample proportion of riders who leave an item behind is more than 0.15, we can use the normal distribution.

First, we need to calculate the z-score, which measures how many standard deviations the value is from the mean. In this case, the mean is the expected proportion of riders who leave an item behind, which we'll assume is p.

The formula to calculate the z-score is: z = (x - p) / sqrt((p * (1 - p)) / n)

Where x is the sample proportion, p is the expected proportion, and n is the sample size.

In this case, we're interested in finding the probability that the sample proportion is greater than 0.15. To do this, we need to find the area under the normal distribution curve to the right of 0.15.

Using a standard normal distribution table or a calculator, we can find the corresponding z-score for 0.15. Let's assume it is z1.

Now, we can calculate the probability using the formula: P(z > z1) = 1 - P(z < z1)

This will give us the probability that the sample proportion of riders who leave an item behind is more than 0.15.

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To find the minimum score needed to be in the top 7%, we need to find the score that corresponds to the 93rd percentile, since the top 7% is the complement of the bottom 93%.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 93rd percentile, which is approximately 1.44. This means that a score of 1.44 standard deviations above the mean corresponds to the 93rd percentile.

To find the actual score, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the actual score, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z * σ + μ

= 1.44 * 6.1 + 76.4

= 85.084

So, the minimum score needed to be in the top 7% is approximately 85.084 points.

Right Triangles

Right triangles can be identified because they have one internal angle of 90°.

Right triangles have two shorter sided called the legs and one larger side called the hypotenuse.

The relationship between the side lengths and the angles are called the trigonometric ratios.

For example, the angle of 42° as shown in the figure has one adjacent side (35) one opposite side (x) and the hypotenuse (y).

It's required to find the value of x, knowing the value of the side (45) and the angle 42°.

The trigonometric ratio that relates the opposite leg and the adjacent leg is called the tangent.

Substituting:

Solving for x:

x = 35 tan 42°

Calculating:

x = 35 * 0.9004

x = 31.51

Answer:

3

Step-by-step explanation:

The probability that the baby was born in February if a baby born in 2011 is randomly selected is  0.0754 or 7.54%.

The probability that the baby was born in February if a baby born in 2011 is randomly selected is calculated from the formula below:

Probability(February) = 299 / 3966

Probability(February) = 0.0754

Hence, the probability that a baby born in 2011 was born in February is equal to 0.0754 or 7.54%.

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A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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12 mygs will cost 27, and 5 flasks will cost 30

Answer:

Plane A or Plane MVN

Step-by-step explanation:

Answer:

3.294

Step-by-step explanation:

The standard form of the given number is \(3294000\).

Important information:

in a calculator, the numbers on the right side of E are the exponent of 10. So, the scientific notation of the given number is:

\(3.294E6=3.294\times 10^6\)

It can be written as:

\(3.294E6=3.294\times 1000000\)

\(3.294E6=3294000\)

Therefore, the standard form of the given number is \(3294000\).

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