The product of two numbers is -20/9. If one of the numbers is 4, find the other.

The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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1 kg = 2.2 pounds ( rounded to the nearest tenth)

500 kg x 2.2 = 1,100 pounds

1100 pounds is less than 2,500 so the forklift can lift it.

Answer:

2,500= 1133.981

Step-by-step

The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237

= 1133.980925 kg

0.45359237  this is the conversion rate therefore 1134 is the answer (was rounded)

Answer:

assuming 13 is supposed to be -13, the equation will be y=-5x+2

Step-by-step explanation:

common difference = -5

y=-5x+b

-3=-5(1)+b - plug in the first term of the sequence

b=2

Answer:

-6

Step-by-step explanation:

We are given that -x-10y=2 is a true equation so by multiplication property of equality, we can multiply everything by -3 on both sides. This gives us 3x+10y=-6

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function. 

In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)

Given that

The two expressions below have the same value when rounded to the nearest hundredth

=> ㏒₅ (b) = ㏒₉ (48)  

As we know  ㏒ₐ(b) = ㏒(b)/ ㏒(a)

=> ㏒₅ (b) = ㏒(b)/㏒(5)

=> ㏒(b)/㏒(5) = ㏒₉ (48)  

=> ㏒(b) = ㏒₉ (48) ㏒(5)

=> ㏒(b) =  (1.7618)(0.6989)  

=> ㏒(b) = 1.23132202  

=> ㏒(b) = 1.23  

Therefore,

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

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Answer:

deduct the factor fro, the pne on the other side to find the answer so you would have to cross over to the next column and get the answer

Step-by-step explanation:

Yes, they are lol, did you finish the question bro? A B AND C

Answer

5

Step-by-step explanation:

2-(-4)+3+(-6)-(-2)

6+3+(-4)

9+(-4)

5

Answer:

33/65

Step-by-step explanation:

Given the following

∠U=90°,

TS = 65 = HYpotenuse

UT = 56 = Opposite

SU = 33 = Adjacent

Cos <S = adj/hyp

Cos <S = SU/TS

Cos <S = 33/65

Hence the required ratio is 33/65

Answer:move the midle dot 1 left  move the other one to the x

Step-by-step explanation:

Answer:

A

d

Step-by-step explanation:

A) True. Therefore, there should be no systematic bias when probability sampling is done correctly.

When conducting a research study, it is important to ensure that the sample chosen is representative of the population. Probability sampling is a method that aims to achieve this by giving each member of the population an equal chance of being included in the sample.

When this sampling method is done correctly, it minimizes bias and ensures that the sample is truly representative. For example, let's consider a study on the average height of students in a particular school.

If we were to use probability sampling, we would assign a number to each student and then randomly select a certain number of students from that pool. This would give every student an equal chance of being chosen for the sample, eliminating any systematic bias that might arise if we were to select students based on subjective criteria.

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Based on the given statistics and the constructed box plot, the distribution of gasoline mileage for model year 2017 automobiles appears to be right-skewed and exhibits a wide range of values. It is not a symmetric distribution.

To develop a box plot and analyze the distribution of gasoline mileage for model year 2017 automobiles, we can use the given statistics:

Mean: 27.5

Median: 26.8

Smallest value: 12.70

Largest value: 50.20

First quartile (Q1): 17.95

Third quartile (Q3): 35.45

A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset.

The box plot consists of a box that represents the interquartile range (IQR), with a line inside representing the median. Whiskers extend from the box to represent the range of data within a certain distance from the quartiles, and any outliers are plotted individually.

Here's how the box plot can be constructed based on the given statistics:

      |              ____  

      |           _-'    `-_

      |        _-'          `-_

      |     _-'                `-_

      |  _-'                      `-_

      +--------------------------------

         12.70   17.95   26.8   35.45   50.20

In the above box plot:

The line inside the box represents the median (26.8).

The box spans from the first quartile (17.95) to the third quartile (35.45), encompassing the interquartile range (IQR).

The whiskers extend from the box towards the smallest value (12.70) and the largest value (50.20).

Based on the box plot, we can make some observations about the distribution:

Skewness: Since the median (26.8) is not at the center of the box, and the length of one whisker is longer than the other, it indicates that the distribution is skewed. Specifically, it appears to be right-skewed or positively skewed.

Outliers: There are no outliers shown in the box plot; all data points fall within the whiskers.

Spread: The box plot reveals that the spread of the data between the first quartile (17.95) and the third quartile (35.45) is quite wide, indicating a relatively large range of gasoline mileage values for model year 2017 automobiles.

In summary, based on the given statistics and the constructed box plot, the distribution of gasoline mileage for model year 2017 automobiles appears to be right-skewed and exhibits a wide range of values. It is not a symmetric distribution.

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Answer:

its fine because

Step-by-step explanation:

People who grew up with it often find it to be fine, good, or even delightful. Others may find it to be absolutely disgusting. Personally, I think SPAM tastes fine, but it's a bit too salty on its own. So, I think it's best when eaten with other foods that need some extra salt (like rice, eggs, etc.).

Answer:

-depending on what you like it taste like a salty, and slightly spicy, ham flavor.

To find the curvature of the curve defined by the vector function r(t) = < t^2, ln(t), t ln(t) > at a given point, we need to calculate the curvature using the formula:

κ = |dT/ds| / ||dT/ds||,

where dT/ds is the unit tangent vector and ||dT/ds|| is its magnitude.

Let's proceed with the calculations:

Step 1: Find the first derivative of r(t) to get the tangent vector T(t):

r'(t) = < 2t, 1/t, ln(t) + t/t > = < 2t, 1/t, ln(t) + 1 >.

Step 2: Calculate the magnitude of the tangent vector:

||r'(t)|| = sqrt((2t)^2 + (1/t)^2 + (ln(t) + 1)^2)

         = sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1).

Step 3: Differentiate r'(t) to find the second derivative:

r''(t) = < 2, -1/t^2, 1/t + 2/t > = < 2, -1/t^2, (t + 2)/t >.

Step 4: Calculate the magnitude of the second derivative:

||r''(t)|| = sqrt(2^2 + (-1/t^2)^2 + ((t + 2)/t)^2)

          = sqrt(4 + 1/t^4 + (t^2 + 4t + 4)/t^2)

          = sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2).

Step 5: Calculate the curvature:

κ = |dT/ds| / ||dT/ds||

  = (||r'(t)|| / ||r''(t)||^3)

  = ((sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1)) / (sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2))^3).

To find the curvature at a specific point, substitute the value of t into the expression for κ.

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The polynomials have the value of k for

a) k = -2/3 and

b) k = 0 or k = 1.

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

For question a, having the polynomial x³ + kx² - 2kx + 1 the remainder is -2 when divided by x + 1.

so;

f(-1) = (-1)³ + k(-1)² - 2k(-1) + 1 = -2

-1 + k + 2k + 1 = -2 {collect like terms}

3k = -2 {divide through by 3}

k = -2/3

For question b, having the polynomial x² + x - 2, he remainder is -2 when divided by x + k

so;

f(-k) = (-k)² + (-k) - 2 = -2

k² - k - 2 = -2

k² - k = 2 - 2 {add 2 to both sides}

k(k - 1) = 0 {factorize}

k = 0 or k - 1 = 0

k = 0 or k = 1

Therefore, the value for k for the polynomial in question a is k = -2/3 and for question b, k = 0 or k = 1.

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The graph of the inequalities and the shaded region are added as an attachment

From the question, we can make use of the following representations for the cell phones

Using the problem statements from the question, we have the following table of values

                         x             y       Available

Labor (hours)   3            4         640

Materials ($)     75         60       12900

Next, we determine the constraints

From the above, we have the following constraints of inequalities:

3x + 4y ≤ 640              

75x + 60y ≤ 12900

See attachment for the graph of the inequalities

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Answer:

Step-by-step explanation:

Depends on what kind of rotation you would be doing. But for example, if you are rotating 90 degrees about a point on a graph, your point (x, y) changes to (-y, x). Then another 90 degrees would be (-x, -y).

Answer:

x = 30

Step-by-step explanation:

110 and 3x - 20 are supplementary angles, sum to 180° , then

110 + 3x - 20 = 180

90 + 3x = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Answer:

x = 30

Step-by-step explanation:

Please refer to the attached photo. (Apologies for the terrible drawing.)

For this question, you must be clear of the angle properties.

z + 110 = 180 (Sum of Angles on a straight line)

z = 180 - 110 = 70

z = 3x - 20 (Corresponding Angles)

3x - 20 = z

3x - 20 = 70

3x = 70 + 20

3x = 90

x = 90 / 3 = 30

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

The length of the diagonals in a rectangle is the same, the biconditional statement that the length of the diagonals in a rectangle are equal is true.

A biconditional statement about the diagonals of rectangles is that the length of the diagonals are equal. This statement is justified by the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two perpendicular sides is equal to the square of the hypotenuse.

Using this theorem, we can calculate the length of the diagonals in a rectangle. To do this, let’s consider a rectangle with sides a and b. Then, the length of the hypotenuse is the length of the diagonal. Using the Pythagorean Theorem, we can calculate the length of the diagonal as follows: \(c^2 = a^2 + b^2\). Solving for c, we get \(c = sqrt(a^2 + b^2\)).

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The number of ternary strings of length that have only zeroes in odd-numbered positions is 3^{n/2}

A ternary string is a string consisting of characters from a three-character alphabet. We want to find out the number of ternary strings of length that have only zeroes in odd-numbered positions.

To create a string of length , we have three options for each position, giving us a total of 3^n possible strings of length .

We can count the number of valid strings by observing that each even-numbered position can be either a or b or c, while each odd-numbered position can only be 0. Hence, there are three possibilities for each even-numbered position and one possibility for each odd-numbered position. Thus, there are 3^{n/2} possible even-numbered substrings and only one possible string of zeroes in odd-numbered positions. Hence, the total number of valid strings is 3^{n/2}.

Therefore, the number of ternary strings of length that have only zeroes in odd-numbered positions is 3^{n/2}

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Answer:

About 91 customers would be expected to pay with a credit card.

Step-by-step explanation:

Well you have ro set up a ratio of 16/70 = x/400

This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.

The domain of an exponential function is all real numbers. In the interval notation is (-∞, ∞).

What is interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤ 1 .

Given exponential function is f(x) = B^x.

A function with an exponent as the independent variable is called an exponential function. The general form of an exponential function is y = f (x) = B^x, where B > 0 and a > 1, and x is any real number. The function is undefined for -1 < x < 1 if an is negative, which is why a > 0 is true. The function can have a domain that includes all real numbers by limiting a to positive values.

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Using the Uniform Distribution and the Z- distribution, it is found that 1591 specimens should be tested.

Uniform Distribution: It refers to a type of probability distribution in which all outcomes are equally likely.

Z- Distribution: The standard normal distribution, also known as z distribution, is a special normal distribution where the mean is 0 and standard deviation is 01.

For an uniform distribution of bounds a & b the standard deviation is given by:  α = √ (b-a)²÷12

here, α= standard deviation.

in this problem, a = 45 and b = 750, thus the estimate is:

α = √(750-45)² ÷ 12

  = √497025 ÷ 12

  = 203.5

the margin of error of a Z confidence interval is given by:

                  M = z (α ÷√n)

where, z is the critical value

            α is the population Standard deviation

             n is the sample size.

Now, finding the critical value which is z with a p - value of (1+∝ )÷2, where ∝ is confidence level.

here, ∝ = 0.95, thus z with a p-value of (1+0.95)÷ 2 = 0.96

∴ z= 0.96

standard deviation estimates is 203.5.

now, we want sample for a margin of error of 10, then,

               M= z( α ÷ √n)

         ⇒ 10 = 1.96 ( 203.5 ÷ √n)

         ⇒ 10√n = 1.96 (203.5)

         ⇒ √n = 0.196 (203.5)

         ⇒ (√n)² = [0.196(203.5)]²

         ⇒ n = 1590.89

Round up the value 1590.89 by:

1591 specimen should be tested

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Answer:

2°C

Step-by-step explanation:

Morning

-5°C

Noon (+3)

-2°C

4pm (+?)

0°C

Equation I used:

(-5) + (3) + x = 0

I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)

The solution ž to the equation Až = -3a + 45 is ž = -3u + 15.

Given a 3 x 2 matrix A with linearly independent columns, and u

= (-3 and v = (3) satisfy the equations

Aũ = ă and A✓ = b.

We have to find a solution i to Až = -3a + 45.

Since A has two linearly independent columns, the rank of A is 2.

The dimension of the column space of A is 2.

Therefore, the number of linearly independent columns in A is 2.

This implies that A has full column rank.

Thus the columns of A span R³. T

his implies that for every vector x in R³ there exists a solution to the equation Ax = x.

So, we have Aũ = ă  and A✓ = b.

Hence A(u+v)

= Au + Av = ă + b.

We get A(ž)

= A(-3u+45)

= -3Au + 45A.

Since u and v are the solutions to the equations Aũ = ă and A✓ = b,

we have Au = ă

and Av = b.

Therefore Až = -3Au + 45A

= -3a + 45.

Thus the required solution is ž = -3u + 15.

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