25. Write interval notation for the set
In interval notation, square brackets indicate that a function can take on that value (or uses a less/greater than or equal to sign). Parenthesis indicate that a function cannot take on that value (or uses a less/greater than sign).
In the case of the given set, both inequality signs are less/greater than or equal to. This indicates to us that we will use brackets in both instances because the set can be equal to -2 and 2.
Answer: [-2,2]
Answer Choice: D
Hope this helps!
I will be forever in your debt, ( and a brainiest) if you help me
Answer:
Step-by-step explanation:
12P3 = 12! / (12-3)!
= 12*11*10
= 1320.
8C7 = 8!/7! *(8-7)!
= 8.
Suppose that in a random sample of 240 smartphone users, 160 used an iPhone. Conduct a hypothesis test at significance level 0.02 to test the claim that more than 58% of smartphone users use an iPhone.
State the null hypothesis, the alternative hypothesis, the test statistic, the (P-value or traditional method), and formulate your conclusion.
Null hypothesis: ____________________
Alternative hypothesis: __________________
Test Statistic:
p-value value: ________
Conclusion: __________________________________
Answer:
you will get the correct answer
Step-by-step explanation:
I need points ASAP!!
give answer in simplest form with working out pls
Answer:
5 x 5+3/5= 25+3/5=28/5÷8/3
28/5 x8/3= 224/15 =14.93
Three friends just out of culinary school have applied for a loan to open a new restaurant in the heart of New York City. The bank gives them a loan in the amount of 1.3 million dollars. The three friends estimate that their business will be able to make a profit of approximately $0.7 million per year. They keep track of their debts, profits, and overall financial status on a balance sheet. They enter the debt as a negative value and all profits as positive values. Define a unit for the amount of time since the company began. Enter a variable for the amount of time since the company began and use this variable to write an expression for the expected financial status. 1. What was the financial status of the company when it began? 2. If the estimates were correct, how many years was it before the financial status of the company was 14.8 million dollars?
Answer:
The answer is 0.3 million per year
Step-by-step explanation:
ok
a juggler needs both rings and bowling pins no more than 12 of these no less than 5 rings
let x represent the rings and y the pins
The inequality that represent this scenario is x + y ≤ 12 and y > 5
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the rings and y represent the pin
There were no more than 12 of these, hence:
x + y ≤ 12
and
y > 5
The inequality that represent this scenario is x + y ≤ 12 and y > 5
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Answer:
there right i took the test
Step-by-step explanation:
cant add more because they covered it all
if f(x) = 7 x - 3 and g(x) = x^2 - 4x - 8 find (f+g)(x)
Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
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In a survey of adults, 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly. What is the conditional probability that an adult who lifts weights regularly, also runs regularly?
The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Let's suppose P(A) is the probability of adults who lift weights regularly.
P(A) = 18% = 0.18
Similarly,
P(B) = 32% = 0.32
P(A∩B) = 0.07
We know:
[tex]\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]\rm P(A|B) = \dfrac{0.07}{0.32}[/tex]
P(A|B) = 0.219 or
P(A|B) = 21.9%
Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
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can someone help me here
NONSENSE=REPORT
Answer:
See below ~
Step-by-step explanation:
Circle ABA, CA, FA, GA∡CEG, ∡FCBCBGF∡CB, ∡BG, ∡GF, ∡CG∠CAB, ∠BAG, ∠GAFCF∠BAG, ∠GAFEC, CB1. SSS
2. SAS
3. SSA
4.ASA
5. AAA
6. AAS
7. HL
8. Not Enough Information
For the complex number z=5sqrt3/4 - 5/4i, what is the polar form?
Answer:
[tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]
Step-by-step explanation:
A complex number in polar form is [tex]z=r(\cos\theta+i\sin\theta)[/tex] where [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)[/tex], thus:
[tex]r=\sqrt{x^2+y^2}=\sqrt{(\frac{5\sqrt{3}}{4})^2+(-\frac{5}{4})^2}=\sqrt{\frac{75}{16}+\frac{25}{16}}=\sqrt{\frac{100}{16}}=\frac{10}{4}=\frac{5}{2}[/tex]
[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)=\tan^{-1}\biggr(\frac{-\frac{5}{4}}{\frac{5\sqrt{3}}{4}}\biggr)=\tan^{-1}\biggr(-\frac{\sqrt{3}}{3}\biggr)=\frac{11\pi}{6}[/tex]
Thus, the complex number in polar form is [tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]
Swimming Pool On a certain hot summer's day, 366 people used the public swimming pool. The
daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $767.50.
How many children and how many adults swam at the public pool that day? There were
children at the public pool.
Answer:
c=__ and a=__
Step-by-step explanation:
767.50=1.25(c)+2.25(a).
366=c+a
normally from here, I would just guess the number of adults and children. It does take a while doing it that way, but maybe you know a quicker way. Hope this helps :)
23. Solve using the principles together. Don't forget to check.
7y - (4y - 14) = 23
---Distribute the negative sign into the terms in the parentheses
7y - 4y + 14 = 23
---Combine like terms
3y + 14 = 23
---Subtract 14 from both sides
3y = 9
---Divide both sides by 3
y = 3
Answer: y = 3
Answer Choice: A, 3
Hope this helps!
Answer:
A. The solution is y = 3.
Step-by-step explanation:
Given
7y - (4y - 14) = 23Distribute the value to the terms in parentheses.
7y - (4y - 14) = 237y - 4y + 14 = 23Simplify like terms and subtract 14 from each side.
3y + 14 - 14 = 23 - 143y = 9Divide by 3 on each side.
3y/3 = 9/3y = 3A. The solution is y = 3.
Dorothy is trying to lose weight. She is exercising and eating right
every day. She started out with a weight of 203 pounds. Each day, she
loses 1.5 pounds. What is her weight after 21.5 days? Round your
answer to the nearest tenth of a pound.
I accidentally deleted the thing that said answer but the answer is 170.7
Step-by-step explanation:
You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.
33, EDUCATION In a certain small town,
65% of the adults are college graduates.
How many of the 240 adults living in
the town are college graduates?
tooo
Answer:
156 adults are college graduates
Step-by-step explanation:
To find the answer we have to find 65% of 240.
[tex]240 \times \frac{65}{100} = \\ \\ \frac{15600}{100} = \\ \\ 156[/tex]
HELP!!!!!!!!!! What does each line on the protractor stand for?
Answer:
degrees like in angles. from 0 to 180
nwcggov
A cup of coffee contains 140 mg of caffeine. If caffeine leaves the body at 10% an hour, how long will it take for half of the caffeine to be eliminated from the body?
Answer: 5 hours
Step-by-step explanation:
If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.
what is 52.56 rounded to nearest hundred
Answer:
100
Step-by-step explanation:
When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.
the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?
Answer:
The highest point will be (10, 75)
Step-by-step explanation:
Find the values of x and y from the given equal ordered pair (2x, 3y) = (32,81)
Answer:
here,comparing the corresponding elements,
2x = 32 3y = 81
or x = 32/2= 16 or y = 81/3 = 27
x = 16
y = 27
i hope my answer is helpful to you and please mark me as brainliest
4 - 5 5g > 39
What is the solution set for the inequality?
Answer:
g < -7
Step-by-step explanation:
Check image below
Write the equation of the line in slope-intercept form given
• Point (5,6)
• Point (3,-2)
Step-by-step explanation:
(-2-6)/(3-5)= -8/-2= 4
y+2= 4(x-3)
y+2= 4x-12
y=4x-14
Answer:
y = 4x - 14 or y = 2(x - 7)
Step-by-step explanation:
Finding the slope
m = -2 - 6 / 3 - 5m = -8/-2m = 4Finding the y-intercept
Take x-coordinate to be 0 and take one of the 2 points mentioned and put in the point-slope equation formy - 6 = 4(0 - 5)y - 6 = 4(-5)y = -14Making the equation using slope-intercept form
y = mx + cy = 4x - 14 or y = 2(x - 7)A phone case comes in 8 different colors, and you can also pick from 10 different patterns. If you can only pick one of each, how many different phone cases can there be
Answer:
80
Step-by-step explanation:
8 different colors multiplied by 10 different patterns
Which of the following are roots of the polynomial function? Check all that apply. F(x) = x3 - 5x2 - 13x - 7
Answer:
Write properties of function:
x intercept/zero: [tex]x_{1} =-1;x_{2} =7[/tex]
Step-by-step explanation:
x² - 6x - 7 = x² - 7x + x - 7
⇒ x(x - 7) + 1(x - 7)
⇒ (x + 1) (x - 7)
Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)
[tex]~~~~~~~~x^3 -5x^2 -13x -7=0\\\\\implies x^3 +x^2 -6x^2 -6x-7x-7=0\\\\\implies x^2(x+1) -6x(x+1) -7(x+1)=0\\\\\implies (x+1)(x^2 -6x -7) = 0\\\\\implies (x+1)(x^2 +x -7x-7)=0\\\\\implies (x+1) [x(x+1) -7(x+1)]=0\\\\\implies (x+1)(x+1)(x-7) = 0\\\\\implies (x+1)^2 (x-7) = 0\\\\\implies x = -1,~ x = 7\\\\\text{Hence, the roots are}~ -1~ \text{and}~ 7[/tex]
What is the surface area of the right cone below?
12
A. 123 sq. units
B. 141 sq. units
C. 64 sq. units
D. 143 sq. units
3-
The surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units
Calculating surface area of a coneFrom the question, we are to determine the surface area of the given right cone
The total surface area of a cone can be calculated by using the formula,
TSA = πrl + πr²
Where TSA is the total surface area
r is the radius
and l is the slant height
From the given information,
r = 3
l = 12
Putting the parameters into the formula, we get
TSA = (π×3×12) + (π ×3²)
TSA = 36π + 9π
TSA = 45π sq. units
TSA = 141.37 sq. units
TSA ≅ 141 sq. units
Hence, the surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units
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Find the surface area of the triangular prism. Be sure to include the correct unit in your answer.
Answer:
174 CM²
Step-by-step explanation:
First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)
We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24
There are 2 triangles therefore we get 2*24 which is 48 CM²
Now we calculate the area of the rectangles (7·10=70, 8·7=56)
Finally we add up all the numbers (70+56+48=174 CM²)
Therefore the surface area of the triangular prism is 174 CM², respectively.
1. Which is a set of collinear points? (1 point)
J, H, I
L, H, J
J, G, L
L, K, H
WILL MARK BRAINLESS IF YOU'RE RIGHT!!! "a field in the shape of a right triangle is bordered on one side by a lake on another side by a street and on a third side by a tree line what angle does this lake make the street."
Answer:
b≈26.46
Step-by-step explanation:
see image attached
Can someone please help me with this please and thankyou
Answer:
∠ABC = 55°
Step-by-step explanation:
Alternate Interior Angles Theorem
If a line (AC) intersects a set of parallel lines (m and n) in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
⇒ ∠BAC = ∠DCA
⇒ ∠BAC = 50°
The interior angles of a triangle sum to 180°
⇒ ∠BCA + ∠BAC+ ∠ABC = 180
⇒ 75 + 50 + ∠ABC = 180
⇒ ∠ABC = 180 - 75 - 50
⇒ ∠ABC = 55°
solve this asap
Given that <ABD= 42°, <EFD= 81° and <BCF= 60°, find the value of the unknown.
solve by using corresponding, alternate and interior angles method.
Step-by-step explanation:
angle G = 81°
angle CFG = 60°
total angle inside CFG = 180
a+81+60=180
a=39°
In DBCF
Total angle is 360
60+39+138+b=360
b=134°
hope its right :)
