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No this does not indicate that the population proportion of women athletes who graduate from the university is now less than 67%.

Given long term graduation rate of 67%, sample size of 36  and the women athletes graduated is 23.

We have to find whether  the given information shows  that the population proportion is less than 67%.

First we have to create hypothesis for this :

\(H_{0}\):P=0.67

\(H_{1}\):P<0.67

Under null hypothesis the test statistic is

z=p bar-p/\(\sqrt{p(1-p)/n}\)

where p bar=23/36

=0.638

z=(0.638-0.67)/\(\sqrt{0.67(1-0.67)/36\)

=-0.032/\(\sqrt{0.67*0.33/36}\)

=-0.032/\(\sqrt{0.0064}\)

=-0.032/0.078

=-0.41

Now we have to find the left tailed critical at 0.01 significance level using z table.

z=-2.33

Since the z value does not fall in the critical region,therefore we fail to reject the null hypothesis. So we can conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.

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Question is incomplete as it should specify the signficance level of 0.01 to be used.

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

Answer:

We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.

so

20×6= 120 sq in

Answer:

120 sq in.

Step-by-step explanation:

LA = ah

LA = 20 × 6

A = 120

True; In MATLAB, array indices must be positive integers or logical values.

In MATLAB, array indices must indeed be positive integers or logical values. This means that when accessing elements within an array, the index values should be integers greater than zero or logical values (true or false). It is not permissible to use negative integers or non-integer values as array indices in MATLAB.

For example, consider an array called "myArray" with five elements. To access the first element of the array, you would use the index 1. Similarly, to access the fifth element, you would use the index 5. Attempting to use a negative index or a non-integer index will result in an error.

Using valid indices is crucial for proper array manipulation and accessing the correct elements. MATLAB arrays are 1-based, meaning the index counting starts from 1, unlike some programming languages that use 0-based indexing.

In MATLAB, array indices must be positive integers or logical values. This ensures proper referencing and manipulation of array elements. By adhering to this rule, you can effectively work with arrays in MATLAB and avoid errors related to invalid indices.

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In MATLAB, array indices start from 1. They are used to access specific elements within an array.

In MATLAB, array indices are used to access or refer to specific elements within an array. The index of an element represents its position within the array. It is important to note that array indices in MATLAB start from 1, unlike some other programming languages that start indexing from 0.

For example, consider an array A with 5 elements: A = [10, 20, 30, 40, 50]. To access the first element of the array, we use the index 1: A(1). This will return the value 10.

Similarly, to access the third element of the array, we use the index 3: A(3). This will return the value 30.

Array indices can also be logical values, which are either true or false. Logical indices are used to select specific elements from an array based on certain conditions. For example, if we have an array B = [1, 2, 3, 4, 5], we can use logical indexing to select all the elements greater than 3: B(B > 3). This will return the values 4 and 5.

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The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.

To convert Decimal into Fraction form:

Do the following Steps:

Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.

Step 2: Remove the decimal places by multiplication.

Step 3: Reduce the fraction.

Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Given,

The smallest flowering plant is the flowering aquatic duckweed found in Australia.

And it is 0.0236 inch long and 0.0129 inch wide.

Here we need to write these dimensions as fractions in simplest form.

Rewrite the decimal number as a fraction with 1 in the denominator

So,

=> 0.0236/1 and 0.0129/1

Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.

Then we get,

=> 236/10000 and 129/10000

Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,

=> 59/2500

But the fraction 129/10000 is not reducible.

Therefore, the fraction form is,

=> 59/2500 in. long and 129/10,000 in. wide.

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The mass number of the atom is 4.

The mass number, also called atomic mass number or nucleon number, is the total number of protons and neutrons (together known as nucleons) in an atomic nucleus.

Therefore, the sum of protons and neutron in the nucleus of an atom is mass number of that atom.

Therefore, the atoms in the diagram has 2 electrons, 2 protons and 2 neutrons.

Notice the electrons revolving around the nucleus of an atom.

Therefore,

mass number = mass of neutron + mass of proton

mass number = 2 + 2

mass number = 4

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x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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P(3) is approximately equal to  0.139.

(a) Yes, we can use the Poisson approximation to find P(30 < x < 35) because both np and n(1-p) are greater than or equal to 10, where n = 100 and p = 0.3. Therefore, the conditions for the Poisson approximation are satisfied.

Using Poisson approximation, we have:

λ = np = 100 x 0.3 = 30

P(30 < x < 35) ≈ P(X = 31) + P(X = 32) + P(X = 33) + P(X = 34)

= e^(-λ) * (\(λ^31\) / 31!) + e^(-λ) * (λ^32 / 32!) + e^(-λ) * (λ^33 / 33!) + e^(-λ) * (λ^34 / 34!)

≈ 0.1885

(b) Using the normal approximation, we have:

µ = np = 100 x 0.3 = 30

σ = sqrt(np(1-p)) = sqrt(100 x 0.3 x 0.7) = 4.58

P(30 < x < 50) ≈ P((30 - µ)/σ < (x - µ)/σ < (50 - µ)/σ)

≈ P(-4.34 < Z < 4.34) [where Z is a standard normal random variable]

≈ 1

Therefore, P(30 < x < 50) is approximately equal to 1.

(c) Let x be a binomial random variable with n = 4 and P(0) = 0.0081.

We need to find P(3).

Let P(1) = q

Then, from the given information, we have:

P(0) = (1-q)^4 = 0.0081

Solving for q, we get:

q = 1 - (0.0081)^(1/4) ≈ 0.207

Now, using the binomial probability formula, we have:

P(3) = (4 choose 3) * q^3 * (1-q)^1

= 4 * 0.207^3 * 0.793

≈ 0.139

Therefore, P(3) is approximately equal to 0.139.

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The evaluated value of the function f(x) = 3e^(-x+2) - 2 for x = 4 is approximately 0.045.

To evaluate the function, we substitute x = 4 into the given equation and simplify the expression. Plugging in x = 4, we have f(4) = 3e^(-4+2) - 2. Simplifying further, we get f(4) = 3e^(-2) - 2.

Using the approximate value of e as 2.71828, we can calculate the evaluated value. Evaluating 3e^(-2) - 2, we find that f(4) is approximately equal to 0.045 when rounded to three decimal places.

Therefore, when x is 4, the function f(x) = 3e^(-x+2) - 2 evaluates to approximately 0.045.

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The standard form polynomial that represents the product (-2m^3 + 3m^2 - m)(4m^2 + m - 5) is: -8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10

To find the product of the given polynomials, we need to apply the distributive property and multiply each term of the first polynomial with each term of the second polynomial.

(-2m^3 + 3m^2 - m)(4m^2 + m - 5) can be expanded as follows:

-2m^3(4m^2 + m - 5) + 3m^2(4m^2 + m - 5) - m(4m^2 + m - 5)

Applying the distributive property, we have:

-8m^5 - 2m^4 + 10m^3 + 12m^4 + 3m^3 - 15m^2 - 4m^3 - m^2 + 5m + 4m^2 + m - 5

Combining like terms, we get:

-8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10

Therefore, the standard form polynomial representing the product is -8m^5 + 14m^4 - 7m^3 - 3m^2 + 4m - 10.

#Enter the correct answer in the box. What is the standard form polynomial that represents this product?

(-2m3 + 3m2 - m)(4m2 + m - 5)

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Answer:

3 Gallons

Step-by-step explanation:

If half a gallon of paint covers 1/6 of a wall, then we need 6 1/2 gallons of paint. To make this simpler, we can just say that a gallon of paint can cover 2/6 of the wall. This means that with 2 gallons of paint, we can cover 4/6 of the wall. 3 gallons of paint will cover 6/6 of the wall.

Answer:

78.55cm^2

Step-by-step explanation:

Given data

DIameter of pie= 20 cm

Radius of pie= 10cm

Area of pie= πr^2

Area= 3.142*10^2

Area= 3.142*100

Area= 314.2 cm^2

Hence one fourth  of 314.2 cm^2 is

= 314.2/4

= 78.55cm^2

Therefore the area of the sector is 78.55cm^2

Answer:

B. $35.50/hr and \$6,079.38 in total income

Step-by-step explanation:

Given the following :

Total regular pay earning for the year = $73,840

Let basic salary = b

Overtime = 1.5b

Regular earning per week :

Regular year earning / number of weeks per year

$73840 / 52 = $1420

Regular hours = 40

Regular earning per week = $1420

Regular earning per hour = $1420 / 40

Regular earning per hour = $35.50

Number of overtime hours :

4 hours + 3.5hours = 7.5hours

Overtime pay per hour = 1.5 * regular earning

Overtime pay per hour = 1.5 * 35.5 = $53.25

Total overtime pay = Overtime pay per hour * Number of overtime hours

Total overtime pay = $53.25 * 7.5

Total overtime pay = 399.375

Total pay for the month :

160 regular hours + 7.5 overtime hours

(160 * 35.5) + $399.375

$5,680 + 399.375 = $6,079.375

= $6,079.38

Answer:

This is dependent because it depends what sock she picked out first.  It would be independent if she put the pulled out sock back into the container

Answer:

1/36

Step-by-step explanation:

outcomes/total number of outcomes

1/36

I think this is it but I'm not sure, don't take my word for it if you don't think it's correct either.

Answer:

The volume is 11.7

Step-by-step explanation:

\(\frac{m}{v}\) = d

\(\frac{2.6}{v}\) = 4.5

4.5 × 2.6 = 11.7

v = 11.7

Answer:

slope: 3/4

Step-by-step explanation:

slope= - y-intercept\ x-intercept

-(-3/4)

3/4

Answer:

The choice A) 5.9

Step-by-step explanation:

\( \sin(36) = \frac{x}{10} \\ \\ 0.587785 = \frac{x}{10} \\ \\ x = 10 \times 0.587785 \\ \\ x = 5.87785 \\ \\ x = 5.9\)

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

Step-by-step explanation:

Clusters:

There is a cluster with a regression line of -0.4

Outliers:

(8,8) because it is not near the cluster that was said earlier.

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

\(3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x\)

\(5y = - 3x + 15\)

Now solve for y by dividing each term by 5.

\( \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} \)

Now simplify.

\(y = \frac{ - 3}{5} x + 3\)

The slope is

\( - \frac{3}{5} \)

Answer:

the volume is 5 to the next power which is 3 u end up with multiplication which mean u multiply 5 with 3 to get ur units

The linear equation that models how much Carolina earns depending on the number of hours that she works is:

y = 6*x + 8

Here we know that for every mowing job, Carolina charges $6, plus an initial fee. So if that initial fee is b, we can write the equation as:

y = 6*x + b

We also know that for a 4 hours job she charges $32, then we can replace x by 4 and y by 32 in the equation above.

32 = 6*4 + b

32 = 24 + b

32 - 24 = b

8 = b

Then the linear equation we wanted to find is:

y = 6*x + 8

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Answer:

10x² - 12

Step-by-step explanation:

4x² - 7 + 6x² - 5 ← collect like terms

= (4 + 6)x² + (- 7 - 5)

= 10x² + (- 12)

= 10x² - 12

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The number of hours will they take to do the job is 2. Below is the solution:

2(1/8) + 3(1/12) = 1/x

1/4 + 1/4 = 1/x

1/2 = 1/x

x = 2

Answer:

Fourth option

Step-by-step explanation:

We know that A and B are rational numbers because they can be written as the quotient of two integers. Therefore, that eliminates the first and third options because they state that (at least) one of the numbers is irrational but we know that both are rational, hence, they are incorrect. The second option is incorrect because A · B = \(\frac{mn}{pq}\), not \(\frac{mp + nq}{pq}\), therefore, the correct answer is the fourth option.

The fair swap rate should be not lower than 5.5%.The quoted swap rate of 5.5% on a 3-year fixed-for-floating swap is not fair. To determine the fair swap rate,

we need to calculate the present value of the fixed and floating rate cash flows and equate them. By using the given spot rates, the fair swap rate is found to be lower than 5.5%.

In a fixed-for-floating interest rate swap, one party pays a fixed interest rate while the other pays a floating rate based on market conditions. To determine the fair swap rate, we need to compare the present values of the fixed and floating rate cash flows.

Let's assume that the notional amount is $1.

For the fixed leg, we have three cash flows at rates of 5.5% for each year. Using the spot rates, we can discount these cash flows to their present values:

PV_fixed = (0.055 / (1 + 0.04)) + (0.055 / (1 + 0.05)^2) + (0.055 / (1 + 0.06)^3).

For the floating leg, we have a single cash flow at the 3-year spot rate of 6%. We discount this cash flow to its present value:

PV_floating = (0.06 / (1 + 0.06)^3).

To find the fair swap rate, we equate the present values:

PV_fixed = PV_floating.

Simplifying the equation and solving for the fair swap rate, we find:

(0.055 / (1 + 0.04)) + (0.055 / (1 + 0.05)^2) + (0.055 / (1 + 0.06)^3) = (0.06 / (1 + fair_swap_rate)^3).

By solving this equation, we can determine the fair swap rate. If the calculated rate is lower than 5.5%, then the quoted swap rate of 5.5% is not fair.

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The length of the shorter arc from vertex P to vertex N is 37.68 inches.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which means numerous) and gon (which means sides).

To create a closed figure, at least three line segments must be connected end to end.

Given an equilateral polygon, PENTA is inscribed in a circle of radius 15 inches,

The central angle of the polygon leaning to the shortest chord is

α = 2π/5

α = 2*360/5 = 72°

The central angle of the polygon leaning to the shorter arc from vertex P to vertex N is

β = 2(2π/5)

β = 144°

The length of the corresponding arc is

= r*β

here r = 15 inches, and π = 3.14

length = r*2*2π/5

length = 15*2*2(3.14/5)

length = 37.68 inches.

Hence length is 37.68 inches.

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