Answer:
0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.
Step-by-step explanation:
I am going to solve this question treating these events as Venn events.
I am going to say that:
Event A: General practitioner.
Event B: Under the age of 50.
Suppose that 9 out of the 23 doctors in a small hospital are General Practitioners
This means that [tex]P(A) = \frac{9}{23}[/tex]
10 out of the 23 are under the age of 50
This means that [tex]P(B) = \frac{10}{23}[/tex]
3 are both General Practitioners and under the age of 50.
This means that [tex]P(A \cap B) = \frac{3}{23}[/tex]
What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 50?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we have for this exercise.
[tex]P(A \cup B) = \frac{9}{23} + \frac{10}{23} - \frac{3}{23} = \frac{9+10-3}{23} = \frac{16}{23} = 0.6957[/tex]
0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.
PLS HELP
Which is a solution for the inequality -6x – 5 <-23 ?
(1) O
(2) 2
(3) -2
(4) 5
Single payment loan. Principal $10,500.00 annual rate of interest 15%, time 123 days. What is the total repayment
amount?
A $10,500.00
B $11,000.00
C $11,038.13
D 12,000.00
Answer:
B, 11000
Step-by-step explanation:
assuming a 365 day year...
[tex]10500*(1+.15)^{\frac{123}{365}}= 11006.35813[/tex]
which I guess is close enough to 11000
The total repayment amount is $11030.75. Therefore, option C is the correct answer.
Given that, Principal $10,500.00 annual rate of interest 15%, time 123 days.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, simple interest = (10500 × 15 × 123)/(100 × 365)
= 193725/365
= 530.75
So, amount = 10,500.00+530.75
= 11030.75
The total repayment amount is $11030.75. Therefore, option C is the correct answer.
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Tyler thinks that this figure has enough information to figure out the values of A and B.
Do you agree? Explain your reasoning.
Answer: No
Step-by-step explanation:
We know that A+B = 90, but without further information we cannot determine the specific values of A and B.
Solve for p
P-16 = 27
OA) p = -11
OB) p = 11
OC) p = 43
OD p = 9
Answer:
[tex]p - 16 = 27 \\ p = 27 + 16 \\ { \boxed{p = 43}}[/tex]
Answer:
P =43
Step-by-step explanation:
P-16 = 27
Add 16 to each side
P-16+16 = 27+16
P =43
Select the correct answer.
On the curve y = x/3
point P has coordinates (2.0.667). What is the slope of the curve at point P?
A.0.033
B.0.067
C.0.333
D.0.667
Answer:
c and d
Step-by-step explanation:
What is an inscribed polygon is being constructed
A square
Step-by-step explanation:
because there're only 2 circles being create whereas with an equilateral
Answer:
A square
Step-by-step explanation:
Find the area of the triangle, WILL GIVE BRAINLIEST
Answer:
10 cm^2
Step-by-step explanation:
area= 1/2 b*h
1/2 (5) (4)
= 1/2 (20)
=10
area= 10cm^2
Answer:
a = 10cm²
Step-by-step explanation:
a = (1/2)bh
a = (1/2)(5)(4)
a = 10cm²
I need help please :)
At a sale this week, a suit is being sold for $235.60. This is a 62% discount from the original price.
What is the original price?
Answer:
$620
Step-by-step explanation:
（1-62%）X=235.6
X=235.6/38%
X=620
The original price is $620
helpppppppppppppppppppppppppp
A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.
What is the probability that the first 3 parties of the night are all seated at window seats?
The probability that the first 3 parties are selected from the window seats is 0.0041
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.
The probability that a party will be chosen from the window seat is 4/25
Therefore the probability of 3 chosen from the window seat is 4/25×4/25×4/25
= 64/15625= 0.0041
learn more about probability from
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If the original quantity is 14 and new quantity is 35 what is the percent change
Answer:
150%
Step-by-step explanation:
given:
original quantity = 14
new quantity = 35
increased quantity = 35 - 14
=21
percent change = increased quantity /original quentity * 100%
=21/14 *100%
=21100/14 %
=150 %
What is the slope of the line shows below questions 9 of 10
Answer:
B. 3
Explanation:
using the slope formula we get
m = y2-y1/x2-x1
9-3/3-1 = 6/2 = 3
need an answer quick, will give the first right answer brainliest, i need a step by step explanation please
Answer: Imma say C
Step-by-step explanation:
Question: An expression is shown below: f(x) = x^2 – 6x + 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
given a parabola in standard form
y
=
a
x
2
+
b
x
+
c
then the x-coordinate of the vertex can be found using
∙
x
x
vertex
=
−
b
2
a
y
=
x
2
−
6
x
+
5
is in standard form
with
a
=
1
,
b
=
−
6
,
c
=
5
⇒
x
vertex
=
−
−
6
2
=
3
substitute this value into equation for y-coordinate
y
vertex
=
3
2
−
6
(
3
)
+
5
=
−
4
⇒
vertex
=
(
3
,
−
4
)
the axis of symmetry is vertical and passes through the
vertex with equation
x
=
3
to find x-intercepts let y = 0
⇒
x
2
−
6
x
+
5
=
0
the factors of + 5 which sum to - 6 are - 1 and - 5
⇒
(
x
−
1
)
(
x
−
5
)
=
0
equate each factor to zero and solve for x
x
−
1
=
0
⇒
x
=
1
x
−
5
=
0
⇒
x
=
5
⇒
x
=
1
and
x
=
5
←
x-intercepts
graph{(y-x^2+6x-5)(y-1000x+3000)=0 [-10, 10, -5, 5]}
Evaluate. 2^n -1, where n =7
Step-by-step explanation:
Sub n in the equation
2^7-1 = 128-1=127
From the observation deck of a skyscraper,
Taylor measures a 67° angle of depression
to a ship in the harbor below. If the
observation deck is 1014 feet high, what is
the horizontal distance from the base of the
skyscraper out to the ship? Round your
answer to the nearest tenth of a foot if
necessary.
Given:
Angle of depression from observation deck to a ship = 67°
Height of observation deck = 1014 feet.
To find:
The horizontal distance from the base of the skyscraper out to the ship.
Solution:
Let x be the horizontal distance from the base of the skyscraper out to the ship.
Using the given information draw a diagram as shown below.
In a right angle triangle,
[tex]\tan\theta=\dfrac{Perpendicular}{Base}[/tex]
For triangle ABC,
[tex]\tan A=\dfrac{BC}{AB}[/tex]
[tex]\tan (67^\circ)=\dfrac{1014}{x}[/tex]
[tex]x=\dfrac{1014}{\tan (67^\circ)}[/tex]
On further simplification, we get
[tex]x=\dfrac{1014}{2.35585}[/tex]
[tex]x=430.41789[/tex]
[tex]x\approx 430.4[/tex]
Therefore, the horizontal distance from the base of the skyscraper out to the ship is 430.4 feet.
Applying the Trigonometry ratio, TOA, the horizontal distance from the base of the skyscraper out to the ship is: 430.4 ft.
Recall:
To solve a right triangle, apply any of the Trigonometry ratios, SOH CAH TOA, where necessary.The situation described is shown in an image attached below, where:
BA = horizontal distance from the base of the skyscraper out to the ship (adjacent side length)BC = 1014 ft (Opposite side length)∠A = 67° = reference angle (∅)To find BA, apply TOA, which is:
tan ∅ = Opp/Adjacent
Substitutetan 67 = 1014/BA
[tex]BA = \frac{1014}{tan(67)} \\\\\mathbf{BA = 430.4 $ ft}[/tex]
Therefore, applying the Trigonometry ratio, TOA, the horizontal distance from the base of the skyscraper out to the ship is: 430.4 ft.
Learn more about Trigonometry ratio on:
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Solve for x.
3x/6 + 1 = 7
x = 12
x = 4
x = 16
Calculate the volume of space between the two cylinders in the diagram . Use 3.14 for pi! Show work !
Answer:
116933.6
Step-by-step explanation:
[tex]A_1 = \pi r^2 = 3.14 * 34^2 = 3.14 * 1156 = 3629.84[/tex]
[tex]V_1 = A_1 * h = 3629.84 * 40 = 145193.6[/tex]
[tex]A_2 = \pi r^2 = 3.14 * 15^2 = 3.14 * 225 = 706.5[/tex]
[tex]V_2 = A_2 *h = 706.5 * 40 = 28260[/tex]
[tex]V = V_1 - V_2 = 145193.6 - 28260 = 116933.6[/tex]
What is the value of “a” in the function equation?
Answer: the value of A is 2
Step-by-step explanation:
4(x + 3) + 2x in the simplest form
Answer:
6x + 12
Step-by-step explanation:
Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.
Determinar a posição da reta r, de equação 2x-3y+5=0, em relação à reta s, de equação 4x-6y-1=0
Answer:
[tex]2x - 3y = - 5 - - - (a) \\ 4x - 6y = 1 - - - (b) \\ no \: answers[/tex]
help please lol soon
Answer:
d.
D: {-7, 0, 2, 6}
R: {-13, 0, 5, 13}
Step-by-step explanation:
Domain of a relation is the set of all input values (x-values) while the range is the set of all corresponding output values (y-values) in a given relation.
Given the relation represented by the table above,
Domain would be: {-7, 0, 2, 6}
Range: {-13, 0, 5, 13}
Which of the following situations are equal to 30%? Select all that apply.
A) 27 out of 90
B) 12 out of 36
C) 50 out of 80
D) 9 out of 30
E) 6 out of 24
Will give brainlest
Rewrite the quadratic function in vertex form and give the vertex. f(x)=5x^2−25x
Answer:5(x-5/2)^2 - 125/4
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment.Each group of students needs 3/8 pint of vinegar.Trey draws the number line model and writes the equation below to help Ms. Nellies figure out how many 3/8-pint serving of vinegar she has.Are Trey's number line model and equation correct?
Trey's number line is _______ because it represents the expression _________.The correct equation is _______.Ms. Nellies has enough vinegar for _________ groups of students.
1st blank box: correct or incorrect
2nd blank box: 2 1/2 x 3/4,2 1/2 ÷ 3/4,2 1/2 x 3/8,or 2 1/2 ÷ 3/8.
3rd blank box: 2 1/2 ÷ 3/8= 6 2/3,2 1/2 ÷ 3/8 = 3 1/3,2 1/2 x 3/8 = 2 3/16, or 2 1/2 ÷ 3/8 = 15/16
4th blank box: 2,6,3,or 0
Answers:
Trey's number line is incorrect because it represents the expression 2 1/2 ÷ 3/4.
The correct equation is 2 1/2 ÷ 3/8 = 6 2/3.
Ms. Nellies has enough vinegar for 6 groups of students.
===========================================================
Explanation:
Trey has the right idea, but made a mistake on how the tickmarks are set up. Focus on the interval from 0 to 1. This section is cut into 4 equal pieces. So each tickmark represents 1/4 of a unit.
Going 3 tickmarks across means 3/4 of a unit is represented. Since each larger arc represents 3/4 of a unit, this means we're dividing the 2 & 1/2 over 3/4 instead of 3/8
That's why Trey's model represents 2 1/2 ÷ 3/4
The value 3 & 1/3 at the end is correct. Visually we see 3 whole jumps plus an extra 1/3 of a jump to arrive at 2 & 1/2. But again, Trey didn't cut the number line up in the right way, so it doesn't matter that he arrived at the correct result of 3 & 1/3 since his initial setup is faulty.
------------------------------
See the diagram below to see what Trey should have drawn. Notice each tickmark represents 1/8 instead of 1/4. Each large blue arc jump represents 3/8 of a unit. We have exactly 6 of these blue arcs plus 2 additional smaller arcs that are 1/3 of the blue arc. So that accounts for the 1/3+1/3 = 2/3 portion.
Overall, we would say that the equation is 2 1/2 ÷ 3/8 = 6 2/3
If you're curious why that equation works, check out the steps below
[tex]2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \div \frac{3}{8}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \times \frac{8}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5*8}{2*3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{40}{6}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{20}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18+2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18}{3}+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6\frac{2}{3}\\\\[/tex]
So again, the equation is 2 1/2 ÷ 3/8 = 6 2/3
------------------------------
What does this all mean? Well it means the teacher can break up the vinegar into 6 whole parts plus an additional 2/3 of a part.
In other words, 6 groups will get 3/8 of a pint each. The leftover part 2/3 isn't enough to form that 7th group. Notice in the diagram below, we have 2/8 = 1/4 of a pint which is smaller than 3/8 of a pint.
1/4 = 0.25
3/8 = 0.375
So this is another way to see that the leftovers isn't enough to form a 7th group.
Therefore, she has enough vinegar for 6 groups
Find the surface area of a square pyramid with side length 4 and slant height 5.
Answer:
56
Step-by-step explanation:
the surface area = (4×4) + (4×½×4×5)
= 16 + 40
= 56
Simplify each expression by writing the expression without absolute value bars
Answer:
-1
Step-by-step explanation:
When b<4
|b-4| is negative
|b-4| = - ( b-4)
- (b-4) / ( b-4) =
Factoring out (b-4)
-1
how do i solve this ?
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle is an isosceles triangle. However, one can see that it has a right angle (indicated by the box around the angle). Thus the triangle is a (45 - 45 - 90) triangle. A (45- 45 - 90) triangle is the only right isosceles triangle. One of the properties of a right isosceles triangle is that its sides follow the following ratio,
[tex]a;a;a\sqrt{2}[/tex]
Where (a) represents the legs of the right triangle, the sides that are adjacent to the right angle, in this case, the congruent sides. ([tex]a\sqrt{2}[/tex]) is the hypotenuse, the side opposite the right angle.
It is given that the hypotenuse is equal to (4), one is asked to find the length of the legs. To do so, divide the hypotenuse by ([tex]\sqrt{2}[/tex]) to find the legs. One can do this because the triangle is a (45 - 45 - 90) triangle, thus it must follow the ratio of the sides.
[tex]=\frac{4}{\sqrt{2}}[/tex]
Rationalize the denominator,
[tex]\frac{4}{\sqrt{2}}\\\\=\frac{4\sqrt{2}}{2}\\\\=2\sqrt{2}[/tex]
What is the answer to
24 + y = 41
Answer:
y=17
Step-by-step explanation:
move the constant to the right hand side and change it's sign
y=41-24
then subtract the numbers y= 41-24
which = 17
Answer: i believe it is 24 + 17 = 41 ^^ can you give me brainly when you get the chance
Step-by-step explanation:
