Pensacola and Naples are 624 miles apart. A map of Florida uses a scale of 0.5 centimeters: 75 miles. What is the distance between the two cities on the map?

A 3.12 cm B. 7.5 cm C. 4.16 cm D. 8.32 cm​

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

b^2=h^2-p^3

b^2=1600-576

b=√1024

therefore b= 32

Answer:

1.

1/16 or .0625

2.

8/15 or .53

3.

1/4 or .25

Step-by-step explanation:

hope it helps bro

The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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Answer:

3/8

Step-by-step explanation:

Ground-state electron configuration of gas-phase Co²+ is [Ar] 3d⁷. Answer: (E) [Ar] 3d⁷.Explanation: First of all, we need to find the electron configuration of Cobalt (Co).

The electron configuration of Cobalt (Co) is 1s²2s²2p⁶3s²3p⁶4s²3d⁷.Now, we can remove the electrons to get the electron configuration of gas-phase Co²+ .Co: 1s²2s²2p⁶3s²3p⁶4s²3d⁷Co²+: 1s²2s²2p⁶3s²3p⁶3d⁷The full electron configuration of Co²+ will be [Ar] 3d⁷. Therefore, the answer is (E) [Ar] 3d⁷.

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The probabilities are:

(a) P(A ∩ D) = 1/6

(b) P(B ∩ D) = 3/8

(c) P(C ∩ D) = 1/8

(d) P(D) = 2/3

To find the probabilities based on the given tree diagram, let's analyze each question step by step:

(a) P(A ∩ D):

To calculate the probability of A ∩ D, we multiply the probabilities along the path that leads to both events A and D. From the diagram, we see that the probability of event A is 1/2, and the probability of event D given A is 1/3. Therefore, we have:

P(A ∩ D) = P(A) * P(D | A) = (1/2) * (1/3) = 1/6

(b) P(B ∩ D):

Similarly, to find the probability of B ∩ D, we multiply the probabilities along the path that leads to both events B and D. From the diagram, the probability of event B is 1/2, and the probability of event D given B is 3/4. Thus:

P(B ∩ D) = P(B) * P(D | B) = (1/2) * (3/4) = 3/8

(c) P(C ∩ D):

Again, to calculate the probability of C ∩ D, we multiply the probabilities along the path that leads to both events C and D. From the diagram, the probability of event C is 1/2, and the probability of event D given C is 1/4. Hence:

P(C ∩ D) = P(C) * P(D | C) = (1/2) * (1/4) = 1/8

(d) P(D):

The probability of event D is obtained by adding the probabilities of reaching D from each of the previous events. From the diagram, we have:

P(D) = P(A) * P(D | A) + P(B) * P(D | B) + P(C) * P(D | C)

= (1/2) * (1/3) + (1/2) * (3/4) + (1/2) * (1/4)

= 1/6 + 3/8 + 1/8

= 4/24 + 9/24 + 3/24

= 16/24

= 2/3

Therefore, the probabilities are:

(a) P(A ∩ D) = 1/6

(b) P(B ∩ D) = 3/8

(c) P(C ∩ D) = 1/8

(d) P(D) = 2/3

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Complete the solution of the equation. find the value of y when x = -14.

To find the value of y we need to plug and substitute the equation if x = -14.

Answer:

x = 3

Step-by-step explanation:

take 60 degree as reference angle and using cos rule

cos 60 = adjacent/hypotenuse

1/2 = x/6

do cross multiplication

2*x = 6*1

x = 6/2

x = 3

Answer:

52%

Step-by-step explanation:

you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is  52%.

Probability that a salesperson makes a bonus given that the salesperson attended the sales training program will be 2/5.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution. Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. Information about the possibility that something will happen is provided by probability. For instance, meteorologists utilize weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.

Here,

Total percentage of people in team=100%
the salespeople attended the training program=40%

Probability that a salesperson makes a bonus given that the salesperson attended the sales training program,

=40/100

=2/5

Given that the salesperson completed the sales training session, there is a 2/5 chance that they will receive a bonus.

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Answer:

Step-by-step explanation:

Thus if you are not allowed to repeat a digit the number of possible 4 digit numbers you can construct from 1,2,3,4 is 4 3 2 1 = 24.

The number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

Given that, using only digits 1 and 2 form 4-digit numbers.

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

Here,

For the first digit you are picking from 2 digits.

For the second digit you are picking from 2 digits.

For the third digit you are picking from 2 digits.

For the fourth digit you are picking from 2 digits.

2×2×2×2=16

4-digit numbers

1111, 2111, 1211, 1121, 1112, 1221, 2112, 1122, 2211, 1212, 2121, 2221, 1222, 2122, 2212 and 2222.

Therefore, the number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

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Answer:

22 containers

Step-by-step explanation:

Add the oatmeal and chocolate chip, which will give you 45 cookies

Then divide that by 2 and you will get 22.5

Since we're asking for the whole we don't need the .5

so Anna would need 22 containers for each person to get one oatmeal and one chocolate

Answer:

B.     $2253.65

Step-by-step explanation:

Use the formula for compound interest.

F = P(1 + r/n)^(nt)

F = future value

P = present value

r = interest rate (written as decimal)

n = number of times interest is compounded each year

t = number of years

F = unknown

P = $2000

r = 4% = 0.04

n = 4

t = 3

F = $2000(1 + 0.04/4)^(4 × 3)

F = $2253.65

The distance of line segment F'G' is approximately 18.384 units.

To find the distance of line segment F'G', we need to calculate the distance between the coordinates of F' and G'.

Initially, line segment FG begins at (-9, -5) and ends at (8, -5).

To translate the segment right 10 units, we add 10 to the x-coordinates:

F' = (-9 + 10, -5) = (1, -5)

G' = (8 + 10, -5) = (18, -5)

To translate the segment down 7 units, we subtract 7 from the y-coordinates:

F' = (1, -5 - 7) = (1, -12)

G' = (18, -5 - 7) = (18, -12)

Now, we calculate the distance between F' and G' using the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Distance = √((18 - 1)² + (-12 - (-5))²)

= √(17² + (-7)²)

= √(289 + 49)

= √338

≈ 18.384

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The expression 70a + 21b represents the sum of two terms that is equivalent to 7(10a + 3b).

Let's break down the steps to understand how we arrived at the expression 70a + 21b as the sum of two terms equivalent to 7(10a + 3b).

We start with the expression 7(10a + 3b). This means that we need to distribute the 7 to each term inside the parentheses.

7(10a + 3b) = 7 * 10a + 7 * 3b

By multiplying each term inside the parentheses by 7, we get:

70a + 21b

The resulting expression, 70a + 21b, consists of two terms: 70a and 21b. These terms represent the individual contributions to the sum. The coefficient of each term corresponds to the multiplication factor applied during distribution.

So, the expression 70a + 21b is the sum of exactly two terms that is equivalent to 7(10a + 3b). It combines the multiplied terms resulting from the distribution of the 7 to each term inside the parentheses.

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Answer: x =-9/5

Step-by-step explanation:

Answer:

Rows:

1: Add the exponents instead of subtracted.  Correct answer \(h^{2}\)

2: 9/3 is 3 not 6.  Correct answer 3\(b^{5}\)

3: This answer is correct.  You subtract the exponents when you divide.

\(n^{2-6}\) is \(n^{-4}\)

4: The 5 should be in the numerator.  Correct answer \(\frac{5}{c^{8} }\)

5:  You add the exponents when you are multiplying the bases and subtract the exponents when you are dividing the bases.  Correct answer is  \(d^{4}\)

6: \(2^{3}\) = 8 Correct answer \(\frac{a^{4} }{8b^{24} }\)

Step-by-step explanation:

Helping in the name of Jesus.

The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Answer:

B

Step-by-step explanation:

Answer: True

Step-by-step explanation:

We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer

Therefore if you add the 38 the 52 and the 90 you’ll get 180

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.

Triangles that are equivalent in terms of size and form are known as congruent triangles.

It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.

The angle of triangles ABC and XYZ is;

∠A= 180° -(90+52) = 38°

∠B= 90°

∠C=38°

∠X=38°

∠Y=90°

∠Z=180° -(90+38°) = 52°

∠B =∠Y=90°

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.

Hence, option A is correct.

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Answer:

4x+6

Step-by-step explanation:

(x+4)+(3x+2)

=x+4+3x+2

=4x+6

Answer:

As the point of the intersection of the lines is (7, -12), the solution of the system is

\(y=-12,\:x=7\)

Please check the attached graph below.

Step-by-step explanation:

Given the system of the equations

\(y=-3x+9;\:y=-x-5\)

Check the attached graph below.

It is clear from the graph that the lines intersect at x =7 and y = -12

so the point of the intersection of the lines is (7, -12)

Hence, the solution of the system is

\(y=-12,\:x=7\)

VERIFICATION BY SOLVING THE SYSTEM OF THE EQUATION

Given the system of the equations

\(y=-3x+9;\:y=-x-5\)

Solving the system of the equations

\(\begin{bmatrix}y=-3x+9\\ y=-x-5\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=-x-5\)

\(\begin{bmatrix}-x-5=-3x+9\end{bmatrix}\)

Isolate x for \(-x-5=-3x+9\)

\(-x-5=-3x+9\)

\(-x-5+5=-3x+9+5\)

\(2x=14\)

\(x=7\)

\(\mathrm{For\:}y=-x-5\)

\(\mathrm{Subsititute\:}x=7\)

\(y=-7-5\)

\(y=-12\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(y=-12,\:x=7\)

Answer:

the answer would be c

Step-by-step explanation:

If the train is moving at a constant rate then the graph would have to show a straight line.

Answer:

$15.61

Step-by-step explanation:

Number of students = 17

Total amount to be raised = $483.62

Amount already raised = $218.25

So, amount remained to be raised

= Total amount to be raised - amount already raised

= $483.62 - $218.25

= $265.37

Each student raises the same amount.

So, amount to be raised by each student

= Amount remained to be raised / Number of students

= $265.37 / 17

= $15.61

Answer:

a) f(2) = 5

b) f(-2) = -3

c) f(100) = 999801

d) f(0) = 1

e) f(\(\frac{1}{2}\)) =  \(\frac{1}{8}\)

Step-by-step explanation:

part a: In order to determine and interpret the least squares regression line (LSRL), you need to have a set of data points and perform regression analysis.

The LSRL is a line that best fits the data points and represents the relationship between two variables. It is commonly used to predict or estimate values based on the given data.

To determine the LSRL, you will need to calculate the slope and the y-intercept of the line. The slope (m) represents the rate of change of the dependent variable for a one-unit increase in the independent variable.

The y-intercept (b) represents the value of the dependent variable when the independent variable is equal to zero.

Once you have determined the LSRL equation in the form of y = mx + b, you can interpret it.

For example, if the LSRL equation is y = 2x + 3, it means that for every one unit increase in the independent variable, the dependent variable is expected to increase by 2 units.

The y-intercept of 3 indicates that when the independent variable is zero, the dependent variable is expected to be 3.

part b: To predict the percent of children living in single-parent homes in 1991 for state 14, we can use the LSRL equation.

First, substitute the known value of the independent variable (1985) into the equation and solve for the dependent variable (percent of children living in single-parent homes). Let's say the LSRL equation is y = 0.5x + 10.

In this case, x represents the year and y represents the percent of children living in single-parent homes. So, when x is 1985, we can substitute it into the equation:

y = 0.5 * 1985 + 10
y = 993.5 + 10
y ≈ 1003.5

Therefore, the predicted percent of children living in single-parent homes in 1991 for state 14 would be approximately 1003.5 percent.

part c: To calculate the residual for state 14, we need to compare the observed percent of children living in single-parent homes in 1991 (21.5 percent) with the predicted value we obtained in part b (1003.5 percent).

The residual is calculated by subtracting the predicted value from the observed value:

Residual = Observed value - Predicted value
Residual = 21.5 - 1003.5
Residual ≈ -982

The negative value of the residual indicates that the observed value is significantly lower than the predicted value.

In other words, the actual percent of children living in single-parent homes in state 14 in 1991 is much lower than what was predicted based on the LSRL equation and the data from 1985.



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Answer:

y = 2/3x + 3

Step-by-step explanation:

(-1,-1) (3,5)

5+1/3+1

6/4

2/3

y = 2/3x + b

5 = (2/3)(3) + b

5 = 2 + b

b = 3

y = 2/3x + 3

Answer: A

Step-by-step explanation:

The solution is: Garret placed the treasure at the right place.

Here, we have,

The Cartesian plane can be used to locate the position of any given point with a coordinate. It consists of two numbered lines perpendicular to each other and intersecting at point zero of the lines.

From the statements given, 5 units from x-axis is not the same as 5 units on x-axis. Also, 3 units from y-axis is not the same as 3 units on y-axis.

So, distance 5 units from x-axis implies that a point 5 units after the x-axis. And also, distance 3 units from y-axis means 3 units after the y-axis.

With these conditions of the coordinate of the treasure, Garrett placed the treasure at the right place.

Hence, The solution is: Garret placed the treasure at the right place.

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complete question:

Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a

distance of 5 units from the x-axis and 3 units from the y-axis. Jeffrey places a treasure at point J, and

Garrett places one at point G. Who put the treasure in the right place? Explain how you know.