Answer:
x is equal to -4
Step-by-step explanation:
4x+3= -13
4x/4= -16/4
x= -4
Question 4 of 10
In a group of 30 students, the probability that at most 25 of them like to swim
is 56%. What is the probability that at least 26 of them like to swim?
A. 38%
B. 44%
C. 55%
D. 62%
Answer:
its a
Step-by-step explanation:
Find the standard form of the equation of the circle with endpoints of a diameter at the points (7,8) and (-3,6). Type the standard form of the equation of this circle
Answer:
The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diameter at the points (7,8) and (-3,6).
The diameter is the distance between these two points, so:
[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]
Radius is half the diameter, so:
[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]
So
[tex]r^2 = (\sqrt{21})^2 = 21[/tex]
Center:
Midpoint of the diameter, which is the mean of the coordinates. So
[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]
[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]
Then
[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
Definition: Another unit of measurement for angles. This one can be measured on the x-y coordinate
plane. The number of these in an angle equals the number of radii it takes to measure a circular arc
described by that angle.
Answer:
radians
Step-by-step explanation:
Another unit of measure for angles others then degrees are radians.
Answer:
radians
Step-by-step explanation:
Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have a mean of 50 minutes and a standard deviation of 20 minutes. How long does a customer spend at Little’s Law Firm on average?
Answer:
On average, customer spends approximately 98 min at Little’s Law Firm
Step-by-step explanation:
Given the data in the question;
Arrival rate λ = 6 per 8 hours = 6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute
Service rate δ = 1 / 50 min = 0.02 per minute
Standard deviation σ = 20 min
Now,
Utilization rate U = Arrival rate / Service rate
U = 0.0125 / 0.02
Utilization rate = 0.625
Number of people in Queue will be;
⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )
we substitute
⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )
⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )
⇒ 0.453125 / 0.75
Number of people in Queue = 0.6042
Now
Wait in the Queue = Number of people in Queue / λ
= 0.6042 / 0.0125 = 48.336
Wait Time in Office = Wait in the Queue + ( 1 / δ )
= 48.336 + ( 1 / 0.02 )
= 48.336 + 50
Wait Time in Office = 98.336 ≈ 98 min
Therefore, On average, customer spends approximately 98 min at Little’s Law Firm
HELP QUICK!!!! PLEASE!
Answer:
Linear function
[tex]y = \frac{x}{2} - 5[/tex]Step-by-step explanation:
[tex]y = \frac{x}{2} - 5[/tex]Linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.
[tex]y = \frac{2}{x} + 3[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1
, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
[tex]y = {2}^{x} - 1[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
[tex]y = {x}^{2} + 7[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.
Hope it is helpful...Pls someone pls help me with this question pls
Answer:
B) x = 20
Step-by-step explanation:
All triangle interior angles add up to 180 so:
x + 5 + 7x - 5 + x = 180
9x = 180
x = 20
Math Lab Review Work
1. Macy's is having their family and friends' sale. They are having 80% off everything. Janyla says
that she can find the sale price of an item that has a regular price of p by evaluating the
expression 0:20p. Nalia says that she can find the sale price for the same item by evaluating the
expression p-0.80p. Who is correct? (Hint: Substitute a value for p. Use the same number for
both expressions to see if you get the same answer
1 Pt
A) Neither
B) Both
C) Janyla
D) Nalia
A
B
0
D
E
Answer:
I think it C because I know that Nalia isn't correct so it's not D or B.
find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pie=3.14 in any formulas used
Square part of perimeter = 40.
Half circle = 25.135.
Together 65.135 is perimeter.
Area of square: 192
Are of half circle: 100.53.
Together 292.53
Rounded =292.48 I guess, its the most logical option since I don't see it and the only one that fits perimeter answer.
So its the 3rd question I believe, you may want to double check.
Hit the heart if it was helpful.
The perimeter and total area of the composite shape are; 292.53 and 65.135 .
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
The Square part of perimeter = 40.
Half circle = 25.135.
The perimeter = 40 + 25.135 = 65.135 is perimeter.
The Area of square = 192
Are of half circle: 100.53.
Together 292.53
Rounded =292.48
Therefore, the perimeter and total area of the composite shape are; 292.53 and 65.135 .
Learn more about the area here;
https://brainly.com/question/1658516
#SPJ2
Sixth grade
Jacob is planting flowers for his grandmother. This morning, he spent an hour planting
annuals and an hour planting perennials, but he planted more annuals than perennials. This
afternoon, he has the same number of annuals and perennials left to plant. Which will likely
take him more time to plant?
Step-by-step explanation:
Guess "This afternoon l,he has the same number of annuals and perennials left to plant will take more time to plant.
One side of a triangle is three times the shortest side.
"The third side is 7 feet more than the shortest side. The
perimeter is 62 feet. Find all three sides.
Answer:
The lengths of the sides are - 11, 18, 33
Step-by-step explanation:
Shortest side = x
Second side = 3x
Third side = 7 + x
Perimeter = sum of all three sides
62 = x + 3x + x + 7
62 = 5x + 7
55 = 5x
x = 11
Shortest side = x = 11
Second side = 3x = 33
Third side = 7 + x = 18
When ringing up a customer, a cashier needs 18 seconds to process payment as well as 1 second to scan each item being purchased. If it takes 20 seconds to ring up a customer, how many items are being purchased?
What’s the answer to this answer fast please
Answer:
Hello! answer: 25
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!
Which equation has a graph that passes through the origin and has a slope of -6.2? O A. y = 6.2x O B. y = -6.2x O c. y = 0.2% O D. y = -0.2x SUBNIIT
9514 1404 393
Answer:
B. y = -6.2x
Step-by-step explanation:
If the y-intercept is zero (the graph passes through the origin), then its slope-intercept equation is ...
y = mx + b
y = mx . . . . . line with slope m and y-intercept of 0
When the slope is -6.2, the equation is ...
y = -6.2x
what is 4x^2-1/ (x+4) (2x-1) simplified
Answer:
:)
Step-by-step explanation:
[tex]\frac{4x^2 - 1}{(x+4)(2x-1)} = \frac{(2x)^2 - (1)^2}{(x+4)(2x-1)}[/tex]
[tex]=\frac{(2x-1)(2x+1)}{(x+4)(2x-1)}\\\\=\frac{2x+1}{x+4}[/tex]
Answer:
i don't know
Step-by-step explanation:
it is very hard
sorry !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ]
Answer:
2x+1
Step-by-step explanation:
f(g(x))= (2x)+1
(2)x+1
A triangle has sides with lengths of 12 yards, 16 yards, and 20 yards. Is
it a right triangle? Yes or No
a number is between 20 and 30 and is three times the sum of its digits. what is the number?
Answer:
The only multiples of 3 between 20 and 30 are 21, 24, and 27. Only 27 satisfies the condition that it is 3 times the sum of its digits.
Step-by-step explanation:
The number between 20 and 30 that is equal to three times the sum of its digits is 27
How to determine the number?The numbers between 20 and 30 are:
21, 22, 23, 24, 25, 26, 27, 28, 29
Add each digit of the numbers and multiply by 3.
So, we have
21 ⇒ 3 * (2 + 1) = 9
22 ⇒ 3 * (2 + 2) = 12
23 ⇒ 3 * (2 + 3) = 15
24 ⇒ 3 * (2 + 4) = 18
25 ⇒ 3 * (2 + 5) = 21
26 ⇒ 3 * (2 + 6) = 24
27 ⇒ 3 * (2 + 7) = 27
28 ⇒ 3 * (2 + 8) = 30
29 ⇒ 3 * (2 + 9) = 33
In the above computation, the true correct term of the sequence is
27 ⇒ 3 * (2 + 7) = 27
Hence, the number is 27
Read more about sequence at:
https://brainly.com/question/6561461
#SPJ6
I need some help please!!!! I will try to give brainliest!!!
Answer:
x = 85, y = 45
Step-by-step explanation:
95 = 50 + y (exterior angle theorem)
y = 45
180 = y + x + 50 (Angle sum property)
180 = 45 + x + 50
180 = 95 + x
x = 85
13 Calculate the area of a circle with radius 14 cm.
Answer:
[tex]{ \tt{formular : {area = \pi {r}^{2} }}} \\ area = 3.14 \times {14}^{2} \\ \\ { \bf{answer : { \tt{area = 615.75 \: {cm}^{2} }}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]
Answer:
A≈ 615.75 [tex]cm^{2}[/tex]
Step-by-step explanation:
A= [tex]\pi[/tex][tex]r^{2}[/tex]
A= [tex]\pi[/tex]·[tex]14^{2}[/tex]
A≈ 615.75216 [tex]cm^{2}[/tex]
Seven values on the number line above are marked with letters. Match the opposites
Answer:
OMGGGG I NEED THIS ONEE TOOOO WANNANA WORKKKK ON OT
m to third power
n if m = 4 and n= 5
Calculate the volume of the triangular pyramid below.
Answer:
90
Step-by-step explanation:
1/2x10x3.6=18
18x5=90
solution to 3/x + 2/(x+1) = 3/5x?
9514 1404 393
Answer:
x = -6/11
Step-by-step explanation:
We assume you want the solution to ...
3/x +2/(x+1) = 3/(5x)
Subtracting the term on the right, we get the form f(x) = 0.
[tex]\displaystyle\frac{3}{x}+\frac{2}{x+1}-\frac{3}{5x}=0\\\\\frac{15-3}{5x}+\frac{2}{x+1}=0\\\\\frac{12(x+1)+10x}{5x(x+1)}=0\\\\22x+12=0\quad\text{numerator must be zero}\\\\x+\frac{6}{11}=0\quad\text{divide by 22, simplify}\\\\\boxed{x=-\frac{6}{11}}[/tex]
_____
If you really intend 3/x +2/(x+1) = (3/5)x as you have written, the solution is 3 irrational values for x. I find a graphing calculator a convenient way to find them.
Please help song for b
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
8) Solve the system of equations by substitution
y = x + 2
3x + y = 10
Answer:
(2, 4)
Step-by-step explanation:
y = x + 2
3x + y = 10
3x + (x + 2) = 10
4x + 2 = 10
4x = 8
x = 2
y = (2) + 2
y = 4
Step-by-step explanation:
3x + y = 10
substituting the value of y = x + 2
=>3x + x+2 = 10
=>4x= 10-2
=>4x= 8
=>x= 8/4
=>x= 2
And, y= 2+2 = 4
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Answer:
the second one
Step-by-step explanation:
y is postitive when x < -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1 option 2
The numbers 24, 22, 34, 28, 29, 24, 25 29, a and b have a median of 27 and a mode of 29. Given that a
Answer: Median is 26,5 and modes are 24 and 29
Step-by-step explanation: In increasing order numbers are
22, 24 24, 25 , 28, 29 , 29 , 34. Because amount of number is even
median is (25 + 28) / 2 = 26,5 and modes are 24 and 29 because both
numbers exist twice
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to
create AA'B'C'. What are the coordinates of the vertices of AA'B'C'?
What is the circumference
Answer:
37.68 cm
Step-by-step explanation:
Formula = 2πr
2 * 3.14 * 6
3.14 * 12 = 37.68
37.68 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
37.68 the first answer
Step-by-step explanation:
