3000 people participated in the survey, of which 2790 like some type of drink.
Since in a survey of some people, 73% like to drink tea, 85% like to drink coffee and 65% like to drink tea as well as coffee, if 210 people like neither tea nor coffee, to find the total number of people taken part in the survey and show how many of them like at least one of the given drink, the following calculations must be performed:
-First, it must be determined how many people do not prefer any of the drinks, in percentages, subtracting the 65% who like both from the percentages of each particular drink, and adding these results.
(73 - 65) + (85 - 65) + 65 = X 8 + 20 + 65 = X 93 = X-Therefore, the 210 people who do not like any drink are 7 percent of the total survey. Therefore, to determine the total number of people who participated, the following cross multiplication must be carried out.
7 = 210 100 = X 100 x 210/7 = X 3000 = 73000 - 210 = 2790
Therefore, 3000 people participated in the survey, of which 2790 like some type of drink.
Learn more about cross multiplication in https://brainly.com/question/24327293.
write each equation explicitly in terms of x. then indicate whether the equation is a function. y^2-x^2+1=50
Step-by-step explanation:
y² - x² + 1 = 50
y² = x² - 1 + 50 = x² + 49
y = ±sqrt(x² + 49)
this is not a function in that sense, as for every x there are not one but 2 y (result) values.
5. Given a test in which there is overlap of the test results for diseased and non-diseased individuals (e.g., normal individuals are found who have test results ranging in value from 8 to 15, and diseased individuals are found who have test results ranging in value from 12 to 25, so that in the range of values 12 to 15 there are both normal and diseased individuals), if the current cutoff value lies in the range of this overlap and you move the cutoff value toward the normal population (lower numbers in this example), the true negative numbers will _____________________ . (5 points)
Answer:
True negative numbers are considered as diseased individual. So, the true negative numbers will increase
Step-by-step explanation:
True negative numbers are considered as diseased individual. So, the true negative numbers will increase.
Select the table representing a linear function. (Graph them if necessary.)
O A. x 0
7
2 3
y 1 2 56
B. х 0
7
3
2
0
y -2 -1
-1
O c. xo
1
N
3
y 10 12 14 16
-OD. x 0 1 2 3
y 5 3 1 2
Answer:
Option C
Step-by-step explanation:
the linear equation y = 2x+10 matches with option c
What is one thousand minus on hundred and ten
Answer:
The answer is 890 . ...... :D
To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2° and C = 18.3°. Find AB.
Answer:
AB or the distance across the river is about 171.36 meters.
Step-by-step explanation:
Please refer to the diagram below (not to scale). The area between the two blue lines is the river.
To find AB, we can use the Law of Sines. Recall that:
[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]
BC (or a) is opposite to ∠A and AB (or c) is opposite to ∠C. Thus, we will substitute in these values.
First, find ∠A. The interior angles of a triangle must total 180°. Thus:
[tex]m\angle A + m\angle B + m\angle C = 180^\circ[/tex]
Substitute:
[tex]\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ[/tex]
Solve for ∠A:
[tex]m\angle A = 49.5^\circ[/tex]
Substitute BC for a, AB for c, 49.5° for A and 18.3° for C into the Law of Sines. Thus:
[tex]\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}[/tex]
Since BC = 415 m:
[tex]\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}[/tex]
Solve for AB. Cross-multiply:
[tex]\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ[/tex]
And divide:
[tex]\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}[/tex]
Use a calculator. Hence:
[tex]AB = 171.3648...\approx 171.36\text{ m}[/tex]
AB or the distance across the river is about 171.36 meters.
simplify by using the distributive property and then combine like terms:
4 (3x – 9)
ANSWER PLS
Answer:
12x - 36
Step-by-step explanation:
4 (3x – 9)
Distribute
4 *3x - 4*9
12x - 36
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{4(3x - 9)}[/tex]
[tex]\huge\text{= 4(3x) + 4(-9)}[/tex]
[tex]\huge\text{= 12x - 36}[/tex]
[tex]\huge\boxed{\textsf{Answer: 12x - 36}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment \& enjoy your assignment!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than
the first to go 372 miles. What are the speeds of the cars?
The speed of the cars are
miles per hour.
Please please help!! Quickly
Answer:
pretty sure its D
Answer:
I have to give 2 Ans for my question
5. Determine the number of square units in the area of the trapezoid whose bases are 3-X units and 10+X units and whose height is 6 units.
Answer:
39 units
Step-by-step explanation:
The formula for area of trapezoid is 1/2h(a+b) where a and b are the base/parallel sides.
We have,
a=3-x
b=10+x
h=6
Now,
Area=1/2h(a+b)
=1/2*6(3-x+10+x)=3(13)=39 units
The tree diagram represents an experiment consisting of two trials. P(c)=
Answer:
0.8
Step-by-step explanation:
To get to C, you must start by taking the lower of the first two branches
That has a probability of 0.4
C is the branch on your right and has a probability of 0.2
P(C) = 0.4 * 0.2 = 0.8
Answer:
.26
Step-by-step explanation:
urgent !!!! HELP NEEDED
Answer:
[tex]352\ yd^2[/tex]
Step-by-step explanation:
1. Approach
The surface area of a three-dimensional figure is the two-dimensional space around the figure. Simply put, if one was going to wrap the figure up in paper, the surface area is the amount of paper one would need to wrap the entirety of the figure. One can find the surface area of a figure by finding the area of each individual facet of the figure and then adding up the areas.
2. Finding the area of the triangular faces
The formula to find the area of a triangle is the following:
[tex]A_t=\frac{b*h}{2}[/tex]
Where (b) is the base of the figure, and (h) is the figure's height. Since there is only one type of triangular face, one only has to find the area of one triangular face and then multiply its measurement by four.
Triangle 1
[tex]A_t=\frac{b*h}{2}[/tex]
[tex]A_t=\frac{11*10.5}{2}[/tex]
[tex]A_1=\frac{115.5}{2}[/tex]
[tex]A_t=57.75[/tex]
3. Finding the area of the quadrilateral
The following formula can be used to find the area of a quadrilateral:
[tex]A_q=b*h[/tex]
Substitute the dimensions of the quadrilateral in and solve for its area:
[tex]A_q=b*h[/tex]
[tex]A_q=11*11[/tex]
[tex]A_q=121[/tex]
4. Find the total surface area of the figure
To find the total surface area of the figure, add up all of the area values of its faces. Remember the area of the triangular face is multiplied by four because there are four triangular faces.
[tex]4(A_t)+(A_q)=A[/tex]
[tex]4(57.75)+121=A[/tex]
[tex]231+121=A[/tex]
[tex]352=A[/tex]
find the value of the trigonometric ratio. make sure to simplify the fraction if needed
Answer:
Cos C = a/h
= 21/35
Step-by-step explanation:
since cos is equal to adjacent angle over hypotenuse angle, so from the question we conclude Cos C = 21/35
Graph the function f(x)=x^2+2x-8
what are x intercepts
what are y intercepts
what is maximum or minimum value
Answer:
The x intercepts are 2, -4
The y intercept is -8
The minimum is -9
Step-by-step explanation:
f(x)=x^2+2x-8
To find the x intercepts, set equal to zero and factor
0 =x^2+2x-8
0 = (x+4)(x-2)
Using the zero product property
0 = x+4 0 = x-2
x = -4 x = 2
The x intercepts are 2, -4
To find the y intercepts, set x =0 and solve for y
y = 0^2 +2(0) -8
y = -8
The y intercept is -8
Since the coefficient of the x^2 is positive, the parabola opens up so we have a minimum.
The vertex is halfway between the x intercepts
(-4+2)/2 = -2/2 = -1
To find the minimum substitute x= -1 into the equation
f(x)=x^2+2x-8
f(-1) = (-1)^2 +2(-1)-8 = 1-2-8 = -9
The minimum is -9
Graph attached
y=x²+2x-8y=x²+4x-2x-8y=x(x+4)-2(x+4)y=(x+4)(x-2)x intercepts (-4,0) and (2,0)
Y intercept :-
Put x=0
y=-8(0,-8)
Vertex is the minimum
(-1,-9)What is the solution to 4x + 2 = 6(-2x - 5) ?
Group of answer choices
16
2
-16
-2
Answer:
x= -2
Step-by-step explanation:
4x + 2 = 6(-2x - 5)
Distribute
4x+2 = -12x-30
Add 12x to each side
4x+2+12x = -12x-30+12x
16x+2 = -30
Subtract 2 from each side
16x+2-2=-30-2
16x = -32
Divide by 16
16x/16x = -32/16
x = -2
You deposit $600 in an account earning 8% interest compounded annually. How much will you have in the account in 10 years?
Thank you, thank you! C:
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Answer:
$1295.35
Step-by-step explanation:
The compound interest formula can be used to find the account balance.
A = P(1 +r)^t . . . . principal P invested at annual rate r compounded for t years
A = $600(1 +0.08)^10 ≈ $1295.35
You will have $1295.35 in the account in 10 years.
Which compound inequality does the number line represent?
ILL MAKE BRAINLIEST PLEASE HELP
The compound ineqality which the number line represents will be 5x ≥ -15 or 5x ≤ 10 so option (B) must be correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical expression is said to be unequal if the sides are not equal. Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation.
In option (B) given that
5x ≥ -15
⇒ x ≥ -15/5
⇒ x ≥ -3
And
5x ≤ 10
⇒ x ≤ 10/5
⇒ x ≤ 2
By looking at the number line it is clear that the blue line is greater than -3 and less than 2 hence it will be correct.
For more about inequality?
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5 Cece draws these two figures to prove there is more
than one parallelogram with a 40° angle between a
2-cm side and a 6-cm side. Is Cece correct? Explain.
2 cm
40
4.
2 cm
Answer:
chash greatly ta 45uerywryrsyrsyrs
Cho X là đại lượng ngẫu nhiên có hàm mật độ dạng
fx=k(x-1)(4-x) nếu x∈0;4.
Tìm k, F, EX, P0
Anyone know how to do this?
Answer:
C
Step-by-step explanation:
The graph on the left is a closed circle at x=2, and the graph is only extending to lower values so it will only apply when x ≤ 2
The only piecewise functions that include x ≤ 2 are A and C
But the y intercept of the graph is at 2, so C is the only answer
How much would $150 invested at 8% interest compounded continuously be worth after 17 years? Round your answer to the nearest cent.
A(t)= P•e^rt
A. $471.39
B. $555.00
C. $354.00
D. $584.43
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Answer:
D. $584.43
Step-by-step explanation:
Using the given formula with the given values, we find ...
A(17) = 150·e^(0.08·17) = 584.43
Points A(p,6), B(-3,q) and C(r,8) are on a line whose equation is y=-2x+3. How find the unknown coordinates of A,B, and C?
9514 1404 393
Answer:
p = -3/2q = 9r = -5/2Step-by-step explanation:
Put the given coordinates in the equation for the line and solve for the unknown.
y = -2x +3
(p, 6) ⇒ 6 = -2p +3 ⇒ p = -3/2
(-3, q) ⇒ q = -2(-3) +3 ⇒ q = 9
(r, 8) ⇒ 8 = -2r +3 ⇒ r = -5/2
Help me with this please.
Answer:
the answer should be B
Step-by-step explanation:
take the total of people who got the flu(63) and the amount of them who were vaccinated(35) and write it as a fraction. 35/63 in its simplest form is 5/9
Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?
1/25
1/20
1/10
1/5
WARNING! PEOPLE HAVE BEEN PUTTING THE FOLLOWING WRONG ANSWERS:
1/10 AND 1/5 --> THESE TWO ARE WRONG.
I THINK IT IS 1/20. CAN SOMEONE CONFIRM?
Answer:
1/25
Step-by-step explanation:
There are five students. They all have a 1/5 chance. You have to include the chance of all five students, so each student has a 1/25 chance.
help giving brainilest, heart, and 5 stars
Answer:
4 = 6
5 = -17
Step-by-step explanation:
4. a² - b / b² - c
a² = 2² = 4
b = -2
4 - (-2) = 4 + 2 = 6
6 / b² - c = 6/4 - 3 = 6/1 = 6
4 = 6
5. -3x² + 2xy + 7
-3x² = -3 * -2² = -3 * 4 = -12
2xy = 2 * -2 * 3 = -4 * 3 = -12
-12 + -12 + 7 = -24 + 7 = -17
5 = -17
If my answer is incorrect, pls correct me!
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why infinity ( ) can’t be included in an inequality?
Answer:
Step-by-step explanation:
Because then the value on the other side will be unbounded by the infinity sign while expressing the answers on a number line.
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When 8 is added to a certain number and the sum is multiplied by 3, the result is 57. Find the number.
Answer:
The number is 11.
Step-by-step explanation:
[tex]3(8+x)=57\\24+3x=57\\3x=33\\x=11[/tex]
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.
Which graph represents this wage increase for x < 12?
Answer:
bhlhgewafhjffdgnhgreesdbjitbbbbhbfghjkkbiiuuhhh
Certain clouds form when temperatures fall below – 72°C. What is this temperature in degrees Fahrenheit
Answer:
-97.6°F
Step-by-step explanation:
The formula to convert the temperature is 9/5d + 32. Substitite -72 for d and solve!
9/5(-72) + 32
-129.6 + 32
-97.6
Best of Luck!
Answer:
-97.6
Step-by-step explanation:
8x-5/6x
Find all real numbers for which the rational expression is undefined
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Answer:
as written: noneperhaps intended: 0Step-by-step explanation:
The expression written here is interpreted according to the Order of Operations as ...
8x -(5/6)x
This reduces to (7 1/6)x, which is defined for all real numbers.
__
Maybe you intended the expression ...
(8x -5)/(6x)
This expression is undefined where its denominator is zero, at x = 0.
In tennis, a player must win 6 games in order to win a set. However, winning 6 games does not guarantee that the player will win the set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?
a. s ≤ 6g
b. s ≥ 6g
c. 6s ≤ g
d. 6s ≥ g
Answer:
A: s ≤ 6g
Step-by-step explanation:
Had this on a test that I scored 100 on.
The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.
What are inequalities?An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.
From the given information, we have the following claim that:
A player must win 6 games in order to win a set. But winning those 6 games doesn't guarantee winning the set.So, we are given certain condition attached that;
If "g" = number of games won, and "s" = number if set won.Then, the inequality that is true for this condition is 6s ≤ g.
It implies that, the player truly won the six games but it doesn't guarantee him winning the set.
Learn more about inequalities here:
https://brainly.com/question/24372553
