Answer:
Step-by-step explanation:
130 + 55 + y + 90 = 360 degree (sum of exterior angles of a quadilateral is 360 degree )
275 + y =360
y = 360 - 275
y = 85 degree
Determine the list of numbers 14, 18 and 33 can be measured of the sides of a triangle if so clarify the triangle as a cute right or obtuse
9514 1404 393
Answer:
no
Step-by-step explanation:
The measures 14, 18, 33 cannot correspond to the sides of a triangle. The two short sides total 32 in length, so cannot meet up with the ends of the side whose length is 33. A triangle cannot be formed.
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
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What are the value too
F(-3)=
F(-1)=
F(3)=
Answer:
f(-3)=-2,5
f(-1)=-1,5
f(3)=¾
Answer:
-5/2
3/2
3/4
Step-by-step explanation:
Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, . The managers plan to choose a random sample of completion times and estimate via the sample. Assuming that the standard deviation of the population of completion times is minutes, what is the minimum sample size needed for the managers to be confident that their estimate is within minutes of
Answer:
The appropriate answer is "144".
Step-by-step explanation:
Given:
Population standard deviation,
[tex]\sigma=10.4[/tex]
Margin of error,
[tex]E=1.7[/tex]
[tex]CL=95[/tex] %
[tex]CL=1-\alpha[/tex]
Or,
[tex]\alpha=1-CL[/tex]
[tex]=1-0.95[/tex]
[tex]=0.05[/tex]
Now,
Critical value,
= [tex]Z_{\frac{\alpha}{2} }[/tex]
= [tex]Z_{\frac{0.05}{2} }[/tex]
= [tex]1.96[/tex]
The minimum sample size will be:
⇒ [tex]n=\frac{Z^2_{\frac{\alpha}{2} }(\sigma)^2}{E^2}[/tex]
By putting the values, we get
[tex]=\frac{(1.96)^2(10.4)^2}{(1.7)^2}[/tex]
[tex]=\frac{415.5074}{2.89}[/tex]
[tex]=143.774[/tex]
or,
[tex]=144[/tex]
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
A ordinary fair dice is thrown once. What is the probability the dice lands on a even number
The diameter of a circle is equal to twice it's radius
TRUE OR FALSE
Answer:
true
Step-by-step explanation:
The diameter of a circle is a single line segment that stretches the entire width of the circle, intersecting with the center point and two points around the circumference. The diameter measures how wide the circle is, and is always equal to twice the radius (2r).
Person A was born on January 15, 1948. Person B was born on January 15, 1962. If both are alive now, in what year was person A twice as old as person B?
in 14 january 1976 A will be twice as old as B
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:
Find the measures of the angle QUESTION A.
Answer:
145°
Step-by-step explanation:
x°+70°=(2x-5)°
x°+70°=2x°-5°
70°+5°=2x°-x°
75°=x°
x=75
JKM=(2x-5)°
=(2x75-5)°
=(150-5)°
=145°
Complete the following proof by dragging and dropping the correct reason in the spaces bellow
Given: Q is between P and R,R is between S, PR=QS
Prove:PQ=RS
Given:
Q is between P and R, R is between Q and S, [tex]PR=QS[/tex].
To prove:
[tex]PQ=RS[/tex]
Solution:
The two column proof is:
Statements Reasons
1. Q is between P and R 1. Given
2. [tex]PQ+QR=PR[/tex] 2. Segment addition postulate
3. R is between Q and S 3. Given
4. [tex]QR+RS=QS[/tex] 4. Segment addition postulate
5. [tex]PR=QS[/tex] 5. Given
6. [tex]PQ+QR=QR+RS[/tex] 6. Substituting property of equality
7. [tex]PQ+QR-QR=QR+RS-QR[/tex] 7. Subtraction property of equality
8. [tex]PQ=RS[/tex] 8. Simplify
Hence proved.
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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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.
You pick a card at random.
3 4 5
What is P(not less than 5)?
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.
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how do i solve this ?
Answer:
x = 2
Step-by-step explanation:
The given triangle is a (30 - 60 - 90) triangle (this refers to the angle measurements). One property of a (30 - 60 - 90) triangle is that its side follows the following ratio,
[tex]x:x\sqrt{3}:2x[/tex]
Where the side opposite the (30) degree angle measures (x), the side opposite the (60) degree angle measures ([tex]x\sqrt{3}[/tex]) and the side opposite the (90) degree angle measures (2x).
One can use this ratio in the given triangle. Since it is given that the side opposite the (90) degree angle measures (4), and the side opposite the (30) degree angle measures (x), one can form an equation and solve for the unknown,
(2x) = (4)
Inverse operations,
x = 2
Make x the subject of the formula p = x + a b
Answer:
Step-by-step explanation:
x + ab = p
x = p - ab
What is one of the zeros of the function f (x) = x^2– X – 12?
Answer:
The Zeros :
[tex]x = 4 , - 3[/tex]
find p(1) if the polynomial is p (X)=x2-3x+6
Step-by-step explanation:
hope it helps you..........
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
What is the exact area of the region bounded by the x-axis and the graph of y = x^3 - x.
Area =?
Step-by-step explanation:
the answer is in the above image
The area of the region is 0 square units.
What is Integration?In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.
Given:
y = x³ - x.
For the boundness
x³ - x=0
x(x² - 1)= 0
x= 0, x= ±1
Now, [tex]\int\limits^1_{-1} {x^3-x} \, dx[/tex]
= [tex][x^4/4]_{-1}^{1} \; - [x^2/2]_{-1}^{1}[/tex]
= [ 1/4 - 1/4] - ( 1/2 -(-1/2))
=0 - 0
= 0 square units
hence, the area of the region is 0 square units
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0.0543 nearest whole number
Answer:
0
Step-by-step explanation:
Ignore the next 2 numbers after 0.05. To the nearest whole number, round 0.05 to the nearest tenth, 0.1. Then round that to the nearest whole number, 0, which is your answer.
4( x + 2) + 6x in the simplest form
Answer:
10x+8
Step-by-step explanation:
4( x + 2) + 6x
Distribute
4x+8 +6x
Combine like terms
10x+8
Answer:
10x+8
Step-by-step explanation:
4x+8+6x
(4x+6x)+8
10x+8
Evaluate. 2^n -1, where n =7
Step-by-step explanation:
Sub n in the equation
2^7-1 = 128-1=127
Rewrite the quadratic function in vertex form and give the vertex. f(x)=5x^2−25x
Answer:5(x-5/2)^2 - 125/4
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:
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
Find the volume of the shape.
Hope this help!!!
Have a nice day!!!
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.
NEED HELP ASAP PLEASE
Assume that a three-month CD purchased for $3000 pays simple interest at an annual rate of 10%. How much total interest does it earn?
$ ____
What is the balance at maturity? ______
Answers:
interest = $75balance at maturity = $3075=============================================================
Explanation:
The simple interest formula is
i = p*r*t
where in this case,
p = 3000 = principal (amount deposited)r = 0.10 = annual interest rate in decimal formt = 3/12 = 0.25 = number of yearsSo,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
---------------
In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.