Write an equation to match this graph.

Answer:

865 in the workforce should be interviewed to meet your requirements

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

A pilot survey reveals that 5 of the 50 sampled hold two or more jobs.

This means that \(\pi = \frac{5}{50} = 0.1\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

How many in the workforce should be interviewed to meet your requirements?

Margin of error of 2%, so n for which M = 0.02.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.02 = 1.96\sqrt{\frac{0.1*0.9}{n}}\)

\(0.02\sqrt{n} = 1.96\sqrt{0.1*0.9}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.1*0.9}}{0.02}\)

\((\sqrt{n})^2 = (\frac{1.96\sqrt{0.1*0.9}}{0.02})^2\)

\(n = 864.4\)

Rounding up:

865 in the workforce should be interviewed to meet your requirements

Answer:

c. 0.62%

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.6991

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

Sample of 30, standard deviation of 2%.

Then

\(M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62\)

0.62%, so option c.

The number of zeros in the product of 7 and 5,000 is 3.

The place value is defined as the value of each digit in a given number.

Here, we are given that 7 is multiplied by 5000

We can see that in 5000, the hundreds, tens and units digits are all zero.

Also, we know that 0 multiplied by any number gives us a zero only.

Thus, when we multiply 5000 and 7, each digit of 5000 will be multiplied by 7.

We can thus see that there will definitely be at least 3 zeroes in their product.

when we 7 is multiplied by 5, the unit digit will not be 0 as 7 is an odd number.

Thus, there are 3 zeroes in the product of 7 and 5000.

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Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer: 30 inches

Step-by-step explanation:

20/8 = x/12

20(12) = 8x

240 = 8x = 30

The method that could be used to prove the claim that the two triangles are similar is to show that all pairs of corresponding angles are congruent and all corresponding sides are proportional. That is option D.

A triangle is defined as a polygon that has three sides that sums up to 180° and three edges.

A triangle that is congruent with another triangle means that the triangle is similar to the other triangle.

This means that the angles are equal and the sides are equal too.

Therefore, the given triangle can be said to be congruent.

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The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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Answer:

x=2, y=5. (2, 5).

Step-by-step explanation:

x=7-y

x=-2y+12

----------------

7-y=-2y+12

7-y-(-2y)=12

7-y+2y=12

7+y=12

y=12-7

y=5

x=7-5=2

The composition of A and B represents by the set A o B = {(2,2),(4,0)}

What is a set of ordered pair?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

Given sets are

A = {(1,2), (-3,0), (4,7)}

B = {(2,1), (0,3), (4,-3)}

The inputs of B are 2, 0, and 4.

The outputs of B are 1, 3, and -3.

The inputs of A are 1, -3, and 4.

The outputs of A are 2, 0, and 7.

The composition can be written as A o B = A(B(x)

A(B(2)) = A(1) = 2

A(B(0)) = A(3) = not valid [Since 3 is not an input of A].

A(B(4)) = A(-3) = 0

The composition is {(2,2), (4,0)}.

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Simplify the expression

90 + 4B - 2B - 7B

Already in like terms, therefore

90+2B-7B

90-5B

Please Mark BRAINLIEST.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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The point representing 0 on the real number line is the origin.

A number line is a visual representation of a set of real numbers. It is a straight line that is usually represented horizontally and it has a starting point, usually labeled as 0, which is called the origin.

Numbers to the right of the origin are positive, and numbers to the left of the origin are negative. The numbers on a number line are evenly spaced, and each point on the line represents a specific real number.

Number lines are useful in mathematics to represent numerical relationships, such as order, magnitude, and distance between numbers. They are also useful in teaching mathematical concepts, such as addition, subtraction, and fractions.

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A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.

These are the specified parameters:

English = 26

Science = 24

Music = 25

English but not science = 17

Science and music = 11

English and music = 14

Took all theree = 4

Lots of students took English and science

Look at the venn diagram in the attachment.

26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135

x + 92 = 135

x = 135 - 92

x = 43

Lots of students took English and science, but not music

= x - 4

= 43 - 4

= 39

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

Step-by-step explanation:

F(x) = 4x+5

F(-2) = -3

F(-1) = 1

F(0) = 5

F(1) = 9

F(2) =13

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

The answer is 4

Step-by-step explanation:

u welcome boo

The total distance travelled by Kyle is 210 m.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The given length of the field is 84 m.

And, the width is 35 m.

Now, the diagonal of the field can be calculated using Pythagoras theorem as below,

Diagonal = √((84)² +(35)²)

               = 91

Then, the total length is found by summing the length, width and the diagonal as below,

= 84 + 35 + 91

= 210

Hence, Kyle run for the distance of 210 m.

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Answer:

Notice that the triangles ABC and AMN are similar.

Thus:

\(\frac{AC}{MN} = \frac{AB}{MB}\\\\\frac{AC}{6} = \frac{8}{4} = 2\\\\ AC = 12\,\,ft.\)

The correct option, for the perpendicular are-

2.) ||u+v|| = √(||u||² + ||v||²)²

4.)||u + v|| < ||u|| + ||v||

For the stated question-

The correlations are valid for such sum of the vectors u and v's magnitudes,

Which are perpendicular have been identified are-

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.......

3

Step-by-step explanation:

There is three terms

The value of x is 13°

When two lines intersect, four angles are formed. There are two pairs of nonadjacent angles. These pairs are called vertical angles.

In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. It is a straight line which goes from top to bottom and bottom to top. Any point in this line will have the same value for the x-coordinate.

We have:

The angles are:

m ∠ A=(2x−2) ∘ and ∠ B=(3x−15) ∘

We have to find the value of x

Now, We know that :

m ∠A = m ∠B  (Def. of Vertical Angles)

(2x−2) = (3x−15)

Combine the like terms:

2x - 3x = -15 + 2

-x = -13

x = 13

The value of x is 13°

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The value of the quadratic equation when x = 3 is 67.

What is a quadratic equation?

Any algebraic equation that can be expressed in standard form as where x represents an unknown number and where a, b, and c represent known values, with a ≠ 0, is a quadratic equation.

We are given a quadratic equation as 3\(x^{2}\) + 5x + 25.

Now, when x = 3, we get

⇒ 3* \(3^{2}\) + 5 (3) + 25

⇒ 3 (9) + 5 (3) + 25

⇒ 27 + 15 + 25

⇒ 67

Hence, the value of the quadratic equation when x = 3 is 67.

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Question: Evaluate : 3x² + 5x + 25 when x = 3.

Answer:

$ 4.86

Step-by-step explanation:

Subtract 7.19 and 2.33

7.19-2.33=4.86

Since 10 is just a multiplicative constant, we can ignore it and focus on the exponential term.

If

\(y = 5^{-x}\)

we can rewrite this in terms of exp and log as

\(y = e^{\ln(5^{-x})} = e^{-\ln(5)x}\)

Then by the chain rule,

\(\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d}{\mathrm dx}\left[e^{-\ln(5)x}\right] = e^{-\ln(5)x}\dfrac{\mathrm d}{\mathrm dx}[-\ln(5)x] = -\ln(5) e^{-\ln(5)x} = -\ln(5)\cdot5^{-x}\)

Multiply this by 10 to get the derivative of g(x) :

\(\dfrac{\mathrm dg}{\mathrm dx} = \boxed{-10\ln(5)\cdot 5^{-x}}\)

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)

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Thanks!

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

Answer:

C and E

8 x 100,000 = 800,000

8 x 10 x 10 x 10 x 10 x 10 = 800,000

HELP ASAP! 10 POINTS Which expressions are equal to 8 × 10⁵ ? Select all that apply. A. 8 × 1 , 000 B. 8 × 10 , 000 C. 8 × 100 , 000 D. 8 × 10 × 10 × 10 × 10 E. 8 × 10 × 10 × 10 × 10 × 10