finding missing measure​

ANSWER

Option B

EXPLANATION

We want to find the graph that represents the exponential function given:

To do this, we simply have to check for which of the graphs has the correct y-intercept. The y-intercept is the point where the graph touches the y-axis.

We can calculate the y coordainte of the y-intercept from the given function by finding the value of f(x) when x = 0.

That is:

Hence, the y-intercept is (0,4).

Therefore, the correct answer is Option B.

The sequence yn = √(n+1) - √n converges, and its limit can be found by simplifying the expression and applying the limit rules. The limit of yn as n approaches infinity is 0.

To find the limit of yn as n approaches infinity, we can simplify the expression. Let's start by rationalizing the numerator:

yn = (√(n+1) - √n) (√(n+1) + √n) / (√(n+1) + √n)

Simplifying the numerator, we get:

yn = [(n+1) - n] / (√(n+1) + √n)

= 1 / (√(n+1) + √n)

As n approaches infinity, both √(n+1) and √n also approach infinity. Therefore, the denominator (√(n+1) + √n) also approaches infinity. In the numerator, the constant 1 remains constant.

Using the limit rules, we can simplify the expression further:

lim(n→∞) yn = lim(n→∞) [1 / (√(n+1) + √n)]

= 1 / (∞ + ∞)

= 1 / ∞

= 0

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An "onto" function, also known as a surjective function, maps every element of the domain to at least one element of the codomain. A "one-to-one" function, or injective function, maps each element of the domain to a unique element in the codomain. If f: x → y is onto but not one-to-one, it means that some elements in x have the same corresponding element in y.

To determine if the inverse relation, f^(-1), is a function, let's recall the definition of a function: for every input, there must be exactly one output. Since f is not one-to-one, multiple elements in x correspond to a single element in y. Thus, when considering the inverse relation f^(-1), a single element in y would correspond to multiple elements in x.

In conclusion, f^(-1) would not be a function because it does not satisfy the requirement of having a unique output for each input.

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Answer:

100°

Step-by-step explanation:

Given

Quadrilateral PQMN and Quadrilateral WXYZ are similar so the corresponding angles are also similar.

so

< Z = <N = 100°

Hope it will help :)❤

Answer:

100 degrees

Step-by-step explanation:

Since quadrilateral PQMN is similar to quadrilateral WXYZ, the corresponding angles must match. That is, \(\angle P \cong \angle W\), \(\angle Q \cong \angle X\), \(\angle M \cong \angle Y\), and \(\angle N \cong \angle Z\). Specifically, \(m\angle Z = m\angle N = 100^\text{o}\).

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Here we go ~

\(\qquad \sf  \dashrightarrow \: \sqrt{ - 25} \)

\(\qquad \sf  \dashrightarrow \: \sqrt{ - 1 \times 25} \)

\(\qquad \sf  \dashrightarrow \: \sqrt{ {i}^{2} \times 25} \)

\(\qquad \sf  \dashrightarrow \: 5i\)

so, correct choice is D

\( \sqrt{ - 25} \)

The equivalent value from the given options.

\( \sqrt{ - 25} \)

\( = \sqrt{ - 1\times 25} \)

\( = \sqrt{ {i}^{2} \times 25 } \)

\( = 5i\)

Therefore, the correct answer is option D

\(= \ \frac{\beta _{1}}{s\beta _{1} } = t\beta _{1}\)  the t-value for the sample correlation coefficient r compare to the t-value .

What is the slope in math?

The two t values are equal.

\(t_{r} = r \frac{\sqrt{n - 2} }{\sqrt{1 - r^{2} } }\)

    \(= \frac{r * \sqrt{SST / \sqrt{SSR} } }{(\sqrt{1 - r^{2}) * \sqrt{SST} /\sqrt{SSR/(n - 2)} } }\)

     \(= \ \frac{\beta _{1}}{s\beta _{1} } = t\beta _{1}\)

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Sandy took two hours to jog a total of 13 miles. During the first hour, she ran 7 1/2 miles.

To determine the distance she ran during the second hour, we need to subtract the distance covered in the first hour from the total distance.

Since Sandy jogged a total of 13 miles and ran 7 1/2 miles in the first hour, we can find the distance she ran during the second hour by subtracting the distance covered in the first hour from the total distance.

Subtracting 7 1/2 miles from 13 miles gives us 5 1/2 miles, which represents the distance Sandy ran during the second hour. Therefore, during the second hour of her jog, Sandy ran a distance of 5 1/2 miles.

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In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the error term come from a normal distribution.

In a simple linear regression model, the normal quantile plot of the residuals is a graphical tool used to assess the normality assumption of the error term (also known as the residual). The error term represents the difference between the actual value of the dependent variable and the predicted value by the model.

Assuming that the error term follows a normal distribution is important for various reasons. Firstly, the normal distribution is a very common assumption in statistics, and many statistical methods rely on it. Secondly, a normal distribution of the error term is essential for making reliable predictions and for computing valid confidence intervals.

The normal quantile plot of the residuals compares the distribution of the residuals against a theoretical normal distribution. The plot consists of a straight line if the residuals are normally distributed. However, if the plot shows deviations from the straight line, it indicates non-normality in the residuals.

If the normality assumption is not satisfied, we need to explore the reasons for the non-normality and consider alternative methods to analyze the data, such as non-parametric methods.

Therefore, the normal quantile plot of residuals is an essential diagnostic tool in simple linear regression, as it allows us to evaluate the assumption of normality and make appropriate adjustments to the model.

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Answer:

80.56%

Step-by-step explanation:

So to solve we have the new value over the original value. the new value being the day the 29 workers showed up, and the original value is the full labor force there, so 36.

we get the equation 29/36 which gives us 80.56%

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Answer:

i think it is 90

Step-by-step explanation:

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Todd purchased a stereo from a wholesaler for $400 and then sold it in his electronics warehouse for $450. The markup percentage is 12.5%.

To calculate the markup percentage, we need to find the difference between the selling price and the purchase price, and then express it as a percentage of the purchase price. In this case, Todd purchased the stereo for $400 and sold it for $450.

The markup is the difference between the selling price and the purchase price, which is $450 - $400 = $50. To express this markup as a percentage of the purchase price, we divide the markup by the purchase price and multiply by 100: ($50 / $400) * 100 = 0.125 * 100 = 12.5%. Therefore, Todd's markup is 12.5% of the purchase price.

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Answer:

80 degrees

Step-by-step explanation:

a line is always 180 degrees

one side of that line is 100

so, just subtract 100 from 180

you get 80

180 - 100 = 80

Definition of range and graph of function f: The range of the function f : A → B is the subset of B consisting of all the images of elements of A; in other words, it is the set of all possible outputs (f(x)) of the function. The graph of a function is a visual representation of the pairs (x, f(x)) for each element x in the domain of the function.

Proof that G ⊆ A × R: If the range of f is R and the graph of f is G, we want to show that G ⊆ A × R.To show that G ⊆ A × R, we need to demonstrate that for any ordered pair (x, y) in G, y is an element of R. And since the domain of f is A, we know that x is also an element of A, so (x, y) must be an element of A × R. Therefore, G ⊆ A × R.

Therefore, we can say that A × R is not a subset of G. A function has an inverse if and only if it is both injective and surjective.If f is the function defined by f(x) = x^2, then f is not injective, since f(1) = 1^2 = 1 and f(-1) = (-1)^2 = 1, and therefore f is not invertible.

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Answer:

Step-by-step explanation:

so you will multiply height by length and that will give you 70 cubic cm DNT FORGET TO PUT CUBIC CM!!!!!

If I did these right, it should be 70.

The probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.9476

To determine the probability

The given parameters are:

True proportion and the mean (p) = 0.06

The samples size (n) = 235

Start by calculating the standard deviation using

\(\sigma = \sqrt{\frac{p(1-p)}{n} }\)

This gives

\(\sigma = \sqrt{\frac{0.06\;*\;(1-0.06)}{235} }\)

\(\sigma = \sqrt{\frac{0.06\;*\;(0.94)}{235} }\)

\(\sigma = \sqrt{\frac{0.0564}{235} }\)

\(\sigma = \sqrt{0.00024 }\)

\(\sigma = 0.01549\)

Next, we calculate the x values

\(x = x_{1} \pm x_{2}\)

where x₁ = 0.06 and x₂ = 0.03

x = x₁ + x₂ , x₁ - x₂

x = 0.06 + 0.03, 0.06 - 0.03

x = 0.09, 0.03

Calculate the z score for both x values

\(z = \frac{x\; - \; \mu}{\sigma}\)

\(z = \frac{0.09\; - \; 0.06}{0.01549}, \frac{0.03\; - \; 0.06}{0.01549}\)

\(z = \frac{0.03}{0.01549}, \frac{-0.03}{0.01549}\)

\(z = 1.94, -1.94\)

The p values at the z scores are:

p = 0.9738, 0.0262

Note: refer to z tables to find the p values

Calculate the difference

p = 0.9738 - 0.0262

p = 0.9476

Hence, the probability that the sample proportion will differ from the population proportion by less than 0.03 is 0.9476

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The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

5. beth can buy 49 avocados. 592 divided by 3 = 197 divided by 4 = 49

6. the painting will be 23 inches tall. 27 - 9 = 18 so 5 + 18 = 23

7. the photo will be 18 inches tall. 13 - 1 = 12 so 6 + 12 = 18

8. i think it's $273.08 . 37 divided by 10 = 3.7 x 74 = 273.8

You are right about the domain.

Step-by-step explanation:

5x +20 -3x -5 = 13

2x + 15 = 13

2x = -2

× = -1

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Answer:

21.92 inches

Step-by-step explanation:

628.86 inches of fabric on headband for 45 players and 2 coaches

Total persons=45 players +2 coaches=47

Each person uses 628.86/47 inches of fabrics

=13.38 inches per person

384.30 inches for wristband for players only

Each player uses 384.30/45 inches of fabrics

=8.54 inches per person

Karina uses 13.38 inches of fabric for headband and 8.54 inches of wristband for each player

13.38+8.54

=21.92 inches of fabric for each player

Answer:

14

Step-by-step explanation:

Answer:

130 skittles

Step-by-step explanation:

Since Sarah is the 2 side of the ratio, i divided her side of it by 2 so i could multiply by 5 to get the full bag. 3:2 = 78:52 skittles

Answer:

cp=(SP * 100 ) / ( 100 – percentage loss)

6786*100/100-13

7800

The quadratic equation has two complex solutions.

Option C is the correct answer.

The solutions of the equation are

x = -3 + √3i / 2 and x = -3 - √3i / 2

Option D is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

x² + 3x + 3 = 0

It is in the form of

ax² + bx + c = 0

a = 1, b = 3, and c = 3.

Applying the quadratic formula.

x = -b ± √(b² - 4ac) / 2a

x = -3 ± √(9 - 12) / 2

x = -3 ± √-3 / 2

x = -3 ± √3i / 2

x = -3 + √3i / 2 and x = -3 - √3i / 2

Thus,

The solutions are x = -3 + √3i / 2 and x = -3 - √3i / 2.

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Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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Answer:

k=8/5

Step-by-step explanation:

k=y/x according to formula

k=8/5