Using equivalent angles, it is found that the coterminal angle is of 270º.
Equivalent Angles:In the trigonometric circle, ranging from 0 to 360º, each angle has an equivalent on the each quadrant.A negative angle is given by the trigonometric circle in clock-wise rotation, hence, to convert to positive, we keep adding 360º.In this problem:
The angle is of -450º.-450 + 360 = -90º, which means that the original angle gave more than one lap of the circle.Adding again, -90 + 360 = 270º, which is the coterminal angle.You can learn more about equivalent angles are https://brainly.com/question/21737963
Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manager receiving the circuits randomly selects 2, without replacement, and tests them. If both circuits work, the manager will accept the shipment. Otherwise the shipment is rejected. What is the probability that the shipment is accepted
Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865
Calculate and write your answer in standard form.
(7x10^-4) divided by(4x10^4)
I
Enter your math answer
Solve the equation.
с/8 = 9
c =
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order
Answer:
0.0309
Step-by-step explanation:
Faces on dice ( 1, 2, 3, 4, 5, 5)
Number of outcomes = 6
With 5 repeated twice
P(event A) = Required outcome / Total possible outcomes
Required outcome :
Number of 5's = 2 * distinct faces!
Required outcome = 2 * 5! = 2 * 120 = 240
Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776
Required / total possible = 240 / 7776
= 0.0308641
= 0.0309
help 16 points Select all of the true statements.
A.
All rhombuses are squares.
B.
All rectangles are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
E.
All trapezoids are parallelograms.
Answer:
a and b I think
Step-by-step explanation:
I'm not sure if that is right i haven't learned that in a while
a) Expand and simplify (4x + 3)(2x - 5)
Answer:
8x² - 14x - 15
Step-by-step explanation:
(4x + 3)(2x - 5)
8x² - 20x + 6x - 15
8x² - 14x - 15
Answer:
Step-by-step explanation:
Use FOIL, first outside inside last.
4x*2x - 5*4x + 3*2x - 3*5
[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]
3 35/44 as a decimal
Answer:
3.79545454545 or 3.7954 with a little line over the 54 showing its repeating.
Answer:
Step-by-step explanation:
Your decimal will be 3.6 because to convert 3 33/55 into decimal:
Step 1: Divided the numerator 33 divided by the denominator 55 33 divided by 55 = 0.6.
Step two: add 0.6 to the integer part. 3 + 0.6 = 3.6
So 3 33/55 as a decimal is 3.6
Here’s the rounded value also:
3 33/55 = 4 rounded to 0 decimal places.
Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?
1 foot =
1
3
yard
1 ½ - 6/10 =
HELP PLS
Answer:
0.9
Step-by-step explanation:
1 1/2 = 1.5
6/10 = 0.6
1.5 - 0.6 = 0.9
1) Which is the slope in the following linear equation?
y= 7x + 3
A. 3
B. 11
C. 7
D. 4
Answer:
C. 7
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 7x + 3
Step 2: Break Function
Identify Parts
Slope m = 7
y-intercept b = 3
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Add 3 to the product 10 and 4
Answer:
The product of" , means multiply , the product of 10 and 4 is 40 , plus 3, 43?
The solution of the expression is,
⇒ 43
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ Add 3 to the product 10 and 4
Now, We can simplify as;
⇒ 3 + (10 × 4)
⇒ 3 + 40
⇒ 43
Thus, The solution of the expression is,
⇒ 43
Learn more about the mathematical expression visit:
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hi i need help please:))
Answer:
i got 96
Step-by-step explanation:
you have to find the unit rate for 1 driveway and times that by 12
32 divided by 4 is 8
8 x 12 is 96
hope this helps :)
A store is instructed by corporate headquarters to put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answer:
$20
Step-by-step explanation:
the manager's error could likely be putting the percentage mark up rather than the markup price added to the original price
25%×16
= $4
mark up price= (16+4)$
= $20
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm
Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 4 mm/s.
This means that [tex]\frac{dr}{dt} = 4[/tex]
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is [tex]\frac{dV}{dt}[/tex] when [tex]r = \frac{d}{2} = \frac{60}{2} = 30[/tex]. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dV}{dt} = 4\pi*(30)^2*4[/tex]
[tex]\frac{dV}{dt} = 1508[/tex]
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Division of Labor:
There were 4 hobos that arrived in town looking for work. They met with a business owner who said he could pay them for 200 hours of work. However, there was a catch. They could divide up the work anyway they wanted, but each hobo had to work the same number of days as he/she worked hours in 1 day. For example, If a hobo worked 8 hours a day, he/she had to work for 8 days. The other catch is that the laziest hobo of all did the negotiations with the business owner and then went back to present the plan to his/her pals.
The question is how many hours a day did each hobo work?
(please be asap lol i need help on this )
Answer:
16
Step-by-step explanation:
An investment service is currently recommending the purchase of shares of Dollar Department Store selling at $18 per share. The price is approximately normally distributed with a mean of 20 and a standard deviation of 2. What is the probability that in a year the shares will be selling: Between $21 and $24
Answer:
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The price is approximately normally distributed with a mean of 20 and a standard deviation of 2.
This means that [tex]\mu = 20, \sigma = 2[/tex]
What is the probability that in a year the shares will be selling between $21 and $24
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 21. So
X = 24:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 20}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 21:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20}{2}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
0.9772 - 0.6915 = 0.2857
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Answer the statistical measures and create a box and whiskers plot for the following set of data
2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19
Min:
Q1:
Med:
Q3:
Max:
Answer: 478161
Step-by-step explanation:
please helppp me on this math question
Answer:
C=F/M
C=2640/75
C=35.20
$35.20 Per Band Member
Step-by-step explanation:
C= Cost Per Band Member
F = Food and Bus Cost
M = Band Members
Answer:
The answer is 32.2 (35 with ramainder of 15)
Step-by-step explanation:
THE ANSWER IS 35 WITH REMAINDER OF 15
A salesman makes both a base salary and also a commission, which is a percentage of
what he sells. Each month, if his sales total s dollars, he makes a total of 5000+ 0.2s. What
does the 5000 represent?
Answer:
a salesman make 5000+0.2
total 5000+5000.2=10000.2
Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.
Answer:
2,3,4
Step-by-step explanation:
hope this helps=D
Answer:
B,C,D
Step-by-step explanation:
When you multiply a given fraction by a factor greater than 1, the product will (always, sometimes, never) be less than the given fraction
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
For positive numbers, multiplying by a factor greater than 1 increases their value:
(1/2) × 2 = 1 > 1/2
For negative numbers, multiplying by a factor greater than 1 decreases their value:
(-1//2) × 2 = -1 < -1/2
So, "sometimes" the product will be less than the given fraction.
Which figure best represents a rhombus?
Answer:
it's the second one a rhombus is a diamond
The perimeter of a rectangle is 32 meters. The length is 5 less than twice the width. Find the length and the width of the rectangle.
length:___ Width:____
will mark brainliest need answer asap first person to answer gets brainliest
Answer:
A= [tex]4x+8[/tex]
B= [tex]8x+6x \\or\\ 16x[/tex]
C= [tex]8x+12[/tex]
D= [tex]6x+6y+6z[/tex]
Step-by-step explanation:
Distributing, or the means to divide something/create a share or part of something is when we multiply the sum of two or more addends by a number to achieve the same result as multiplying each addend individually by the number then adding the products together.
With this said, part A would look like this:
[tex]4(x+2)\\4(x) + 4(2) = ?\\4x + 8[/tex]
Now, the problem doesn't specifically state to solve the problem, but if you wanted too it would look like this:
[tex]4x + 8=0\\-8 \\4x=-8\\divide 4\\4=GCF\\x=-2[/tex]
Since we are just looking for the equation, the following problems would appear as so:
B:
[tex](6+8)*x\\x(8) + x(6)\\8x+6x\\14x[/tex]
C:
[tex]4(2x+3)\\4(2x)+4(3)\\8x+12[/tex]
D:
[tex]6(x+y+z)\\6(x) +6(y)+6(z)\\6x+6y+6z[/tex]
Another way to view the distributive property is that your distributing the number outside the parenthesis to all the number inside as such.
I would be happy to help you again in the future and hope that this provided you with some clarification! Have a nice day! :D
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
The answer is A
30
Apply the distributive property to factor out the greatest common factor. 21e + 35 =
Answer:
7(3e+5) alternative form 92.08392
Step-by-step explanation:
PLEASE HELP ASAP 10+ PTS!!
Answer:
(x,y) = (25,15)
Step-by-step explanation:
In a parallelogram, alternate angles are equal, so
[tex]\left \{ {{3x-8=4y+7} \atop {4x+13=5x-12}} \right.[/tex]
From the latter equation we obtain [tex]x= 13 + 12 = 25[/tex]. So substituting in the former equation gives
[tex]75-8 = 4y + 7\\4y = 60\\y = 15[/tex]
5.6 is what percent of 70?
Answer:
8%
cba to explain loolll