c) We have to find the probability that a new patient will be assigned to a male doctor.
In this case, we have 3 male doctors out of 7, so the probability can be expressed as 3/7.
We can find the probability as a percentage as:
\(\begin{gathered} P(m)=\frac{3}{7}*100\% \\ P(m)=0.429*100\% \\ P(m)=42.9\% \end{gathered}\)Answer: c) the probability is 3/7 or, expressed as percentage, 42.9%.
Emily has a decorative box that is shaped like a cube with a height of
5 inches. What is the surface area of the box?
HELP MEH ASAP PLS PLZ PLZ
Answer:
5 x 5 x 5 x 5 x 5
Step-by-step explanation:
Sammy draws 3 identical rectangles on his paper. If each rectangle has a base of 15 cm and a height of 12 cm, what is the total area of all 3 rectangles added together?
Answer:
540
Step-by-step explanation:
If you do 15x12 which is the formula for area for a rectangle, you get 180. That's only the area of one rectangle but if you multiply it by 3 you get 540 for the areas added together.
Answer:
540 cm
Step-by-step explanation:
you multiply 15 x12 If you are getting an area 15 x12=180 then you multiply 180 by 3 180x3=540 I think
Shireen decided to deposit her graduation gift money in two different savings accounts. Account X has an interest rate of .5% and Account Y has an interest rate of .25%. Altogether, she received $5000 from graduation. If after the first year Her interest earned was $21.25, how much was deposited into each account?a. Define your variables by assigning them to the real-world quantities in the problem.b. Write a system of equations in standard form you can use to solve for those quantities.c. Calculate the x and y intercepts for both equations.d. How much was deposited in each account? Use whatever method you want to solve thesystem of equations.
Let x= be the amount in the account with .5%
Let y be the amount in the account with .25%
We know that interest is
I = PRT
I = 21.25 and time is 1 year so t=1
I = x(.005)(1) + y (.0025)
We also know that the amount invested is 5000
x+y = 5000
The system of equations is
21.25 = .005x + .0025y
x+y = 5000
21.25 = .005x+.0025y
Let x = 0
21.25 = .0025y
21.25/.0025 =y
The y intercept is 8500
Let y =0
21.25 = .005x
21.25/.005 =x
The x intercept is 4250
x+y = 5000
Let x = 0
The y intercept is 5000
Let y =0
The x intercept is 5000
Using substitution
x = 5000-y
21.25 = .005(5000-y) + .0025y
21.25 = 25 - .005y +.0025y
21.25-25 = -.0025y
-3.75 = -.0025y
-3.75/-.0025 = y
1500 = y
Now find x
x+y = 5000
x+1500=5000
x = 5000-1500
x = 3500
The diameter of the moon is
3,474,000 meters. Which is the
best estimate of the diameter of the
moon?
The best estimate of the diameter of the moon is 3.474×10⁶.
The best estimate of the diameter will be calculated by converting the number into scientific notation. To convert the number into scientific notation it is broken into two parts.
First number is coefficient which has to range between 1 and 10. So, as per the digits, 3.474 will be the coefficient.
The 10 will be written along with exponent. There are three digits after the decimal followed by three zeroes. Therefore, the 10 and exponent will be written as 10⁶.
So, the complete number estimating the diameter of moon is 3.474×10⁶.
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Yvonne wants to use a dissection argument to justify the formula for the area of a circle. She dissects the circle into congruent sectors and reassembles the sectors as a parallelogram-like figure. The diagram below shows the arrangement for a circle dissected into 8 sectors. M Height Base Yvonne knows that as the number of sectors of the circle increases, the reassembled figure becomes closer and closer to an actual parallelogram so that it can be used to determine the area of the circle. Determine the value of each characteristic of the parallelogram in the table below. Select the best value for each characteristic.base of the parallelogram height of the parallelogram area of the parallelogram
Each sector is formed like a triangle with a circle base. The sum of all the bases should be equal to half the length of the circle's circumference, this is calculated with the following expression:
\(\text{base}=\frac{2\pi r}{2}=\pi r\)This is the base of the parallelogram.
The height of each triangle is the radius of the circle, therefore:
\(\text{height}=r\)The area of the parallelogram is the product of the base and the height.
\(\text{Area =}\pi r^2\)So the base is pi*r;
The height is r;
The area is pi*r².
What is the rate of change of y with respect to x for 9x-11y+2=0?
Answer:
the rate of chnge would be 9/11x
Step-by-step explanation:
here's a pic of my process:
Please can you help
Enlarge the shape by scale factor 0.5, using P as the centre of enlargement.
Р
Answer:
pls give brainliest an also I don't know
Answer:
Step-by-step explanation:
see the figure below
let's start from bottom left point
we have to calculate position from P to that point as below
it is 2 units up and 11 units left
so as scale factor is 1/2
we have to shift that point to 1 unit up and 5.5 units left
pink point corresponding to it is denoted below
we have to do the same process for all the five points to cover the total figure
Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Use a compass to draw an arc from point Q that intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT, and use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Step 3:
Step 4: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Adjust the width of the compass to AQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Adjust the width of the compass to NX, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Option (A) "Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y" is correct.
We have,
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have a statement:
Steps to construct an angle MNT congruent to angle PQR.
To construct an angle MNT congruent to angle PQR, the steps are as follows:
Step 1: Use a compass to draw an arc from point Q that intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT, and use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 4: Join points N and Y using a straightedge.
Thus, option (A) "Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y" is correct.
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onsider the transformation.
Which statement about the transformation is true?
O It is isometric because the side lengths remained the
same,
• It is isometric because all
angle measures remained
the same.
It is not isometric because the side
lengths did not
remain the same.
O It is not Isometric because the
not remain the same.
angle measures did
Mark this and return
Save and Exit
The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
What is isometric transformation?An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.
The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.
Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:10
Step-by-step explanation:
A sports stadium has a capacity of 42,000. On a
particular night, 35,000 spectators attend an event. At
the end of the event, spectators leave the stadium at a rate
of 320 spectators every minute. If m represents the
number of minutes after spectators begin to leave the
stadium, which of the following inequalities describes
the times when there are still spectators in the stadium?
A) 42,000 - 35,000m < 320
B) 35,000 - 320m > 0
C) 35,000 + 320m < 42,000
D) 320m < 87,000
Answer:
B
Step-by-step explanation:
The inequality will be 35000-320m>0
What is 1+57327392393629323
Answer:
57327392393629324
Step-by-step explanation:
Smallest number 0.0292,0.062,0.623,0.844
Answer:
0.0292
Step-by-step explanation:
It comes down to 0.062 and 0.0292 and 0.0292 has the smaller place value
Please answer this correctly
Answer:
50
Step-by-step explanation:
The probability of it landing on yellow or blue is 5 out of 7 total possibilities.
5/7
Multiply by 70.
5/7 × 70
350/7
= 50
Answer:
50 times
Step-by-step explanation:
Yellow or blue is 5/7 of the spinner
Multiply 70 by 5/7 to find the prediction of the number of times it will land there
70(5/7) = 50
Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of flights is studied. Round the probabilities to four decimal places. Part 1 of 4 (a) Find the probability that all of the flights were on time. The probability that all of the flights were on time is . Part 2 of 4 (b) Find the probability that exactly of the flights were on time. The probability that exactly of the flights were on time is . Part 3 of 4 (c) Find the probability that or more of the flights were on time. The probability that or more of the flights were on time is . Part 4 of 4 (d) Would it be unusual for or more of the flights to be on time
Answer:
a) \(P(X = n) = (0.85)^{n}\)
b) \(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)
c)
\(P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)\)
For each value, we use
\(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)
d) If \(x > E(X) + \sqrt{V(X)}\), yes, otherwise no
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
A measure is said to unusual if it is more than 2.5 standard deviations from the mean.
85% of recent flights have arrived on time.
This means that \(p = 0.85\)
(a) Find the probability that all of the flights were on time.
This is \(P(X = n)\), in which n is the size of the sample studied.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}\)
\(P(X = n) = (0.85)^{n}\)
(b) Find the probability that exactly x of the flights were on time.
Exactly x of the flights: So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)
(c) Find the probability that x or more of the flights were on time.
This is
\(P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)\)
For each value, we use
\(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)
(d) Would it be unusual for x or more of the flights to be on time?
If \(x > E(X) + \sqrt{V(X)}\), yes, otherwise no
Help with this DONT know the answer DONT answer
Answer:
c 12/3.95 = 9/x is the answer.
Several friends compared their bank account balances. Current Account Balance Name Checking account balance Zöe $10.98 Yvette –$11.32 Xavier –$11.71 Wyatt $11.75 Vern $10.89 Which list shows the people in order of the least bank balance to the greatest bank balance?
The bank balance from the least to the greatest are as follows: Xavier = -$11.71, Yvette = -$11.32, Vern = $10.89, Zoe = $10.98, Wyatt = $11.75
Current account balance of friends:
Zoe = $10.98
Yvette = -$11.32
Xavier = -$11.71
Wyatt = $11.75
Vern = $10.89
The least bank balance will be the one which is the most negative among all and the greatest bank balance will be the one which is positive and is the highest number. The bank balance below are shown from the least to the greatest:
Xavier = -$11.71
Yvette = -$11.32
Vern = $10.89
Zoe = $10.98
Wyatt = $11.75
Hence Xavier has the least bank balance and Wyatt has the greatest bank balance
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Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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In a football marathon , a team lost 4 games and won 7.what is the ratio of win to loses?
Please I need the answer PLEASEEEEEEEEEEEEEEEEEE!
Answer: The first one
Step-by-step explanation:
Twice a increased by the cube of a equals b.
Answer:
2a +a^3 =b
Step-by-step explanation:
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
which statement best describes the end behavior of the following function? F(x)=2x^4-x^3+5x-9
Here we have a polynomial of even degree with positive leading coefficient, so the end behavior is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
How is the end behavior of F(x)?
Here we have the function:
F(x) = 2x^4 - x^3 + 5x - 9
For any polynomial of even degree, we will have the same end behavior in both ends of the domain.
If the leading coefficient is positive, in both ends the function will tend to infinity.
If the leading coefficient is negative, in both ends the function will tend to negative infinity.
In the case of our function:
F(x) = 2*x^4 - x^3 + 5x - 9
We can see that the leading coefficient is 2, so it is positive, which means that the end behavior is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
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4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
) Find the domain of definition
a) f(x)=3x-1/√1-5x
Answer:
(-∞, 1/5)
Step-by-step explanation:
\(f\left( x\right) =\frac{3x-1}{\sqrt{1-5x} }\)
f is defined ,if and only if ,
1 - 5x > 0
⇔ 1 > 5x
⇔ 1/5 > x
⇔ x < 1/5
Please show your work as well too!
Answer:dddddd
ddddddddStep-by-step explanation:
which expression represent, 3 times the sum of 7 and m.
Please answer this question.
Answer:
use a calculator
;-;
Step-by-step explanation:
Answer:
is this 4th grade math? genuine question
Step-by-step explanation:
the answer is 11
11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
For similar question on Sequence.
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Consider the reflectional symmetry of the rhombus.
How many lines of symmetry does the shape have?
0
1
2
4
Answer:
2
Step-by-step explanation:
Answer:
C
Step-by-step explanation: