Use the operation signs +,-, x, and ⌯ once each in the expression below to make the number sentence true. Why does your answer make sense? Use evidence to justify your answer. 6 ___ (3 ___ 1) ___ 5 ___ 1 = 17

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

Read more on quadrilaterals:

https://brainly.com/question/23935806

#SPJ1

Answer: n > 3

Step-by-step explanation:

A circle above 3 going right

To determine the average number of customers in line at the convenience store, we can use the concept of the queuing theory and apply the M/M/1 queuing model.

In the M/M/1 model: "M" represents Markovian arrivals, which means that arrivals occur in a random and independent manner. "M" also represents Markovian service times, which means that service times are random and independent. "1" represents a single server. Given that customers arrive every 3 minutes on average (λ = 1/3 arrivals per minute) and the clerk can ring up a customer in 2.5 minutes on average (μ = 1/2.5 customers served per minute), we can calculate the average number of customers in line (Lq) using the formula:

Lq = (λ^2) / (μ * (μ - λ))

Substituting the values, we have:

Lq = ((1/3)^2) / ((1/2.5) * ((1/2.5) - (1/3)))

= 1/12

Therefore, on average, there is 1/12 or approximately 0.083 customers in line, exclusive of the customer being served.

Learn more about queuing here

https://brainly.com/question/30366103

#SPJ11

Answer:

consistent.

Step-by-step explanation:

if lines cross they're consistent. If they dont they're inconsistent and if they overlap completely they're equivalent

The actual quotient and the estimated quotient of 78,070÷37 is 2110 , so the difference between them is 0.

On dividing 78,070 by 37 ,

we get

78,070 /37

=2110

Since , the number gets divided completely

therefore the estimated quotient and the actual quotient will be 2110.

We first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient. When the divisor in a division sum has two or more digits, it is helpful to first estimate the quotient before attempting to discover the exact number.

The outcome of dividing two numbers is known as the quotient. Divided divisor = quotient + remainder is the formula for expressing the terms of division.

To learn more about division

brainly.com/question/12520197

#SPJ4

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

About expected value here:

https://brainly.com/question/29574962

#SPJ11

Answer:

Step-by-step explanation:

1.

1) =7+(-4)=3

2) =13-8=5

3) =11+5=16

4) =-5-9=-14

5) =-8-1=-9

6) =-1-(-7)=6

7) =-10+13=3

8) =15-7=8

9) =-2+6=4

10) =9-4=5

11) =-1-8=-9

2.

\(\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18\)

So, Vanessa's score = v. Let's work from there.

We know that 59 is decreased by Vanessa's score, which is subtraction, and thus: 59 - v

Then, we're told that that quantity is 7. "Is" can be used in place of an equals sign: = 7

Therefore, our equation is as follows: 59 - v = 7

Hope this helps!! :)

The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

Learn more about experiment here

https://brainly.com/question/25303029

#SPJ11

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

The completed proportions are;

ED/A_F = CE/CA = CF/CD

Step-by-step explanation:

The given m∠CED = m∠A

∴ Angle ∠CDE = Angle ∠A_FC, (corresponding angles)

Angle ∠ECD = Angle ∠ACF (reflexive property)

Triangle ΔDCE is similar to triangle ΔACF (Angle Angle Angle (AAA) similarity)

In triangle ΔDCE and triangle ΔACF

m∠A is bounded by CA and A_F

m∠CED is bounded by CE and ED

∠DCE is bounded by CE and DE

∠C is bounded by CA and CF

Based on the orientation of the two triangles, we have

ED is the corresponding side to A_F, CD is the  corresponding side to CF, CE is the corresponding side to CA

Therefore, we have;

ED/A_F = CE/CA = CF/CD.

The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

Read more about line segments at

https://brainly.com/question/24778489

#SPJ1

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

About complex numbers here:

https://brainly.com/question/20566728

#SPJ11

Population refers to the entire group of individuals or items that share a common characteristic and are of interest to the researcher. It is the complete set of individuals or items from which data is collected and analyzed. For example, if we are studying the average height of all students in a school, the population would include every student enrolled in that school.

Sample, on the other hand, refers to a subset of the population that is selected to represent the whole population. It is a smaller group of individuals or items that are chosen from the population to provide information about the entire population. Using the same example, if we randomly select 100 students from the school to measure their height, those 100 students would be considered the sample.

Here are a few key differences between population and sample:

1. Size: The population is typically larger than the sample. It includes all the individuals or items of interest, while the sample is a smaller representation of the population.

2. Data Collection: It is often more practical and feasible to collect data from a sample rather than the entire population. Gathering data from a large population can be time-consuming, costly, and sometimes even impossible.

3. Representativeness: The sample should ideally be representative of the population. This means that the characteristics and attributes of the sample should closely mirror those of the population. This ensures that the findings from the sample can be generalized to the larger population.

4. Precision: The larger the sample size, the more precise and accurate the estimates are likely to be. A larger sample size reduces the impact of random variability and increases the reliability of the results.

In conclusion, the population refers to the entire group of individuals or items of interest, while the sample is a smaller subset of the population that is chosen to represent the whole. The choice between using a population or a sample depends on various factors such as feasibility, time, resources, and the research objectives.

To know more about  population and sample in statistics here:

brainly.com/question/14362979

#SPJ11

Answer:

She will probably spend 200$ a month for 4 more months to get the bed payed off

Step-by-step explanation:

To estimate the parameters for the exponential and uniform distributions based on the given data, you can use the method of moments or maximum likelihood estimation.

To estimate the parameter for the exponential distribution, you can use the fact that the mean of an exponential distribution is equal to the reciprocal of the rate parameter (λ). In this case, you can calculate the sample mean of the data (86 + 24 + 9 + 50) / 4 = 42.25. Since the mean of the exponential distribution is equal to 1/λ, you can estimate the rate parameter as λ = 1 / 42.25.

For the uniform distribution, you need to estimate the minimum (a) and maximum (b) values. The minimum value can be estimated as the minimum observation in the data, which is 9. The maximum value can be estimated as the maximum observation, which is 86.

Once you have estimated the parameters, you can construct Q-Q plots. In a Q-Q plot, you plot the quantiles of the observed data against the quantiles of the theoretical distribution. For the exponential distribution, you can use the quantile function to calculate the expected quantiles. For the uniform distribution, you can calculate the quantiles using the formula (i-0.5)/n, where i ranges from 1 to n and n is the number of observations.

By comparing the observed quantiles with the expected quantiles on the Q-Q plot, you can visually assess the fit of the data to the chosen distributions.

Learn more about exponential distribution here:

https://brainly.com/question/28335316

#SPJ11

Answer:

Saturday.

Step-by-step explanation:

To answer the above question, we must recognise that Tuesday appears once every 7 days.

If today is Tuesday, 31 days ago will be obtained as follow:

31/7 = 4 remainder 3

Thus

31 = (7 × 4) + 3

31 = (28) + 3

Thus, the 28th day is Tuesday. If we count 3 days back from Tuesday, the day will be Saturday.

Therefore, the magician made his wife disappear on Saturday.

The fracture toughness for this solid is 1843.89 Y MPa√mm.  The plain strain fracture toughness value (K_ICc) is 2534.54 MPa√mm. For a valid fracture toughness test, the minimum required thickness would be 16.5 mm.

a) The fracture toughness (K_IC) of a solid is a measure of its resistance to crack propagation. It can be calculated using the formula:

K_IC = Yσ√(πa)

Where K_IC is the fracture toughness, Y is the geometric factor (typically ranging from 1 to 1.6), σ is the applied stress, and a is the crack length.

In this case, the crack diameter (2a) is given as 22 mm, so the crack length (a) is 11 mm. The stress (σ) for catastrophic fracture is 600 MPa.

Substituting the values into the formula, we get:

K_IC = Yσ√(πa) = Y * 600 MPa * √(π * 11 mm) ≈ 1843.89 Y MPa√mm

b) According to the ASTM E399 standard, the critical stress intensity factor (K_IC) should be compared to the material's plane strain fracture toughness (K_ICc). If K_IC is higher than K_ICc, it is considered an acceptable value.

The plane strain fracture toughness (K_ICc) can be calculated using the formula:

K_ICc = Tys√(πc)

Where Tys is the yield strength and c is the half-crack length.

The given Tys value is 1342 MPa. Since the crack length (c) is half the crack diameter (11 mm), c is equal to 5.5 mm.

Substituting the values into the formula, we get:

K_ICc = Tys√(πc) = 1342 MPa * √(π * 5.5 mm) ≈ 2534.54 MPa√mm

Comparing the calculated K_IC with K_ICc, we can determine if the fracture toughness value is acceptable.

c) To perform a valid fracture toughness test, the material should be in a state of plane strain, meaning that the crack should be sufficiently deep compared to the thickness of the specimen. The ASTM E399 standard recommends a minimum thickness of 1.5 times the crack length.

In this case, the crack length (a) is 11 mm. Therefore, the minimum required thickness would be:

Minimum thickness = 1.5 * a = 1.5 * 11 mm = 16.5 mm

In summary, the fracture toughness of the solid is approximately 1843.89 Y MPa√mm. To determine if it is acceptable according to ASTM E399, it should be compared to the plane strain fracture toughness value (K_ICc) of approximately 2534.54 MPa√mm. Lastly, for a valid fracture toughness test, the minimum required thickness would be 16.5 mm.

Learn more about diameter here:

https://brainly.com/question/32968193

#SPJ11

Answer:

1 : 6

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 10 cm

Height (h) = 15 cm

Ratio of TSA and CSA =?

Next, we shall determine the total surface area (TSA) of the cylinder. This can be obtained as follow:

Radius (r) = 10 cm

Height (h) = 15 cm

Pi (π) = 3.14

Total surface area (TSA) of the cylinder =?

TSA = 2πr(r + H)

TSA = 2 × 3.14 × (10 + 15)

TSA = 6.28 × 25

TSA = 157 cm²

Next, we shall determine the curve surface area (CSA) of the cylinder. This can be obtained as follow:

Radius (r) = 10 cm

Height (h) = 15 cm

Pi (π) = 3.14

Curve surface area (CSA) of cylinder =?

CSA = 2πrh

CSA = 2 × 3.14 × 10 × 15

CSA = 942 cm²

Finally, we shall determine the ratio of the total surface area (TSA) and curve surface area (CSA) of the cylinder. This can be obtained as follow:

TSA = 157 cm²

CSA = 942 cm²

Ratio of TSA and CSA =?

TSA : CSA = 157 / 942

TSA : CSA = 1 / 6

TSA : CSA = 1 : 6

Thus, the ratio of the total surface area (TSA) and curve surface area (CSA) of the cylinder is 1 : 6

To convert the FSM (Finite State Machine) to a controller using a state register and logic gates, follow these steps:
1. Identify the states of the FSM: Review the FSM you created for exercise 3.30 and list down all the states it contains.

2. Design the state register: Create a state register that can store the different states of the FSM. You can use flip-flops or any other suitable storage device.

3. Implement the logic gates: Use logic gates (such as AND, OR, and NOT gates) to implement the transitions between different states. Connect the outputs of the logic gates to the inputs of the state register.

4. Connect the state register to the FSM: Connect the outputs of the state register to the inputs of the FSM to control its behavior based on the current state.

5. Test and verify: Test the controller by simulating different inputs and checking if it transitions between the states correctly according to the desired behavior of the original FSM.

Know more about FSM (Finite State Machine) here:

https://brainly.com/question/29728092

#SPJ11

Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Answer:

x = 4°

Step-by-step explanation:

all angles in a triangle sum up to 180°

6x + 38° + 5x + 8° + 90° = 180 °

11x +136° = 180°

11x = 44°

x = 4°

Answer:

The value of x is 4.

Step-by-step explanation:

As we know that the sum of interior angles of triangle is 180⁰.

So, adding all the given sides and subtracting to 180⁰, to find the value of x.

\(\begin{gathered} \quad{\implies{\sf{Sum\:of\:all\: angles={180}^{\circ}}}}\\\\\quad{\implies{\tt{6x + {38}^{\circ} + {90}^{\circ} +5x + {8}^{\circ} = {180}^{\circ}}}}\\\\\quad{\implies{\tt{(6x + 5x) + ({38}^{\circ} + {90}^{\circ} + {8}^{\circ}) = {180}^{\circ}}}}\\\\\quad{\implies{\tt{(11x) + ({128}^{\circ} + {8}^{\circ}) = {180}^{\circ}}}}\\\\\quad{\implies{\tt{(11x) + ({136}^{\circ}) = {180}^{\circ}}}}\\\\\quad{\implies{\tt{11x + {136}^{\circ} = {180}^{\circ}}}}\\\\\quad{\implies{\tt{11x = {180}^{\circ} - {136}^{ \circ}}}}\\\\\quad{\implies{\tt{11x = {44}^{ \circ}}}}\\\\\quad{\implies{\tt{x = \dfrac{44}{11}}}}\\\\\quad{\implies{\tt{\underline{\underline{x = 4}}}}}\end{gathered}\)

Hence, the value of x is 4.

Now, we know the value of x. So, calculating the mission angles of triangle :

\(\rule{300}{2.5}\)

Answer:

r = 7 ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 43.96 , then

2πr = 43.96 ( divide both sides by 2 × 3.14 ← for π )

r = \(\frac{43.96}{2(3.14)} \) = \(\frac{43.96}{6.28} \) = 7 ft

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

To learn more about functions, refer:

https://brainly.com/question/25638609

#SPJ1

The cosine of 7π/6 is -√3/2 and the sine of 7π/6 is 1/2.To draw an angle in standard position, we start by placing the initial side along the positive x-axis and then rotate the terminal side counterclockwise.

For the angle 7π/6, we need to find the reference angle first. The reference angle is the acute angle formed between the terminal side and the x-axis.
To find the reference angle, we subtract the given angle from 2π (or 360°) because 2π radians (or 360°) is one complete revolution.
So, the reference angle for 7π/6 is 2π - 7π/6 = (12π/6) - (7π/6) = 5π/6.
Now, let's draw the angle.

Start by drawing a line segment along the positive x-axis. Then, from the endpoint of the line segment, draw an arc counterclockwise to form an angle with a measure of 5π/6.
To find the values of cosine and sine of the angle, we can use the unit circle.

For the cosine, we look at the x-coordinate of the point where the terminal side intersects the unit circle. In this case, the cosine value is -√3/2.
For the sine, we look at the y-coordinate of the same point. In this case, the sine value is 1/2.

To know more about counterclockwise visit:

https://brainly.com/question/29971286

#SPJ11

Answer:

12+2d

Step-by-step explanation:

e=5+d

f=d-7

e-f = 5+d-(d-7)

e-f = 12+2d

The solution of expression e - f is,

⇒ e - f = 12 + 2d

We have to given that,

e is 5 more than d.

And, f is 7 less than d.

Hence, It can be written as,

e is 5 more than d.

⇒ e = 5 + d

And, f is 7 less than d.

⇒ f = d - 7

So, We get;

e - f = (5 + d) - (d - 7)

Combine like terms,

e - f = 12 + 2d

Therefore, The solution of expression e - f is,

⇒ e - f = 12 + 2d

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The solutions are:  (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.

a. (A U B)' represents the complement of the union of sets A and B. To find (A U B)', we need to list all the elements in the universal set U that are not in the union of sets A and B. The union of sets A and B, A U B, includes all the elements that are in either set A or set B (or both). So, A U B = {2, 3, 4, 5, 6}. The complement of A U B, (A U B)', will contain all the elements in the universal set U that are not in the set A U B. Therefore, (A U B)' = {1, 7, 8, 9}.

b. (A ∩ B) x A represents the Cartesian product of the intersection of sets A and B with set A. To find (A ∩ B) x A, we need to list all possible ordered pairs that can be formed by selecting one element from the intersection of sets A and B and pairing it with an element from set A. The intersection of sets A and B, A ∩ B, contains the elements that are common to both sets A and B. In this case, A ∩ B = {3, 4}.

Now, we take each element from A ∩ B and pair it with each element from set A. So, (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}. Therefore, (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.

To learn more about universal set, click here: brainly.com/question/29792943

#SPJ11

The foci of the ellipse are \(\[(2 + \sqrt{21}, 3) \quad \text{and} \quad (2 - \sqrt{21}, 3)\]\), while the vertices are (7, 3) and (-3, 3).

center (x,y) = (2, 3)

focus (x,y) = (2 - √21, 3) (smaller x-value)

focus (x,y) = (2 + √21, 3) (larger x-value)

vertex (x,y) = (7, 3) (smaller x-value)

vertex (x,y) = (-3, 3) (larger x-value)

Here is the explanation :

To find the center, vertices, and foci of the given ellipse equation:

The equation of the ellipse is given as:

\(\[\frac{(x - 2)^2}{25} + \frac{(y - 3)^2}{4} = 1\]\)

Comparing this with the standard form of the ellipse equation:

\(\begin{center}\begin{equation}\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1\)

We can see that the center of the ellipse is (h, k).

In this case, the center (h, k) is (2, 3).

Therefore, the center of the ellipse is (2, 3).

To find the vertices and foci, we need to determine the major and minor axes of the ellipse.

The major axis is the longer diameter of the ellipse, and it is parallel to the x-axis. The length of the major axis is given by 2a.

The minor axis is the shorter diameter of the ellipse, and it is parallel to the y-axis. The length of the minor axis is given by 2b.

From the equation, we can determine that a = 5 and b = 2.

Now, let's find the vertices:

The vertices are located at the endpoints of the major axis. Since the major axis is parallel to the x-axis, the vertices will have the form (x, y ± b), where (x, y) is the center of the ellipse.

Therefore, the vertices are:

Vertex (x, y) = (2 ± 5, 3) = (7, 3) and (-3, 3)

Next, let's find the foci:

The foci are located along the major axis. The distance from the center to each focus is given by c, where c is related to a and b through the equation c = \(\begin{center}\sqrt{a^2 - b^2}\).

In our case, a = 5 and b = 2.

\(\begin{center}\[c = \sqrt{5^2 - 2^2} = \sqrt{25 - 4} = \sqrt{21}\]\end{center}\)

Therefore, the foci are located at a distance of \(\begin{center}\sqrt{21}\) from the center along the major axis.

Focus (x, y) = \(2 \pm \sqrt{21}, 3) = (2 + \sqrt{21}, 3) \text{ and } (2 - \sqrt{21}, 3)\]\end{center}\)

Hence, the center of the ellipse is (2, 3), the vertices are (7, 3) and (-3, 3), and the foci are \(\begin{equation}(2 + \sqrt{21}, 3) \text{ and } (2 - \sqrt{21}, 3)\).

To know more about the foci of the ellipse refer here :

https://brainly.com/question/30557306#

#SPJ11

he would have to take 8 more shots.

Step-by-step explanation:

9saves divided by 12 shots = .75

if you keep adding a shot and a save each time, you get to 17saves divided by 20shots=.85.

Hope this helps!

The percentage can be determined by multiplying the fraction to 100. In order to raise his save percentage to 0.850 goalie has to make one additional save.

Given that,

The number of shots saved out of 12 = 9.

Save percentage = (number of saves  ÷ number of shots faced)

In the given case save percentage is as below,

= 9 ÷ 12

= 0.75

Suppose the number of saves to increase the save percentage to 0.85 be N.

Then as per the question,

0.85 = N ÷ 12

=> N = 12 × 0.85

=> N = 10

Thus, the number of additional saves is given by 10 - 9 = 1.

Hence, goalie must make one additional save to raise his percentage to 0.850.

To know more about percentage click on,

brainly.com/question/29306119

#SPJ5