9514 1404 393
Answer:
D. 128°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
x = y + z
198 -5n = (5n +37) +(n +7)
154 = 11n . . . . . . . . . add 5n-44
14 = n . . . . . . . . . . divide by 11
The remote exterior angle is ...
m∠x = (198 -5(14))°
m∠x = 128°
just an addition to the superb reply above by sqdancefan
[tex]\begin{array}{llll} a + \underline{y + z} &=& 180\\ a + x & = & 180\\ \underline{y + z} &=&x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 198-5n = (5n+37)+(n+7)\implies 14=n\implies \measuredangle x = 128[/tex]
how many people travel more than 30 miles to work?
b)?
Answer:
b
Step-by-step explanation:
around 500 people travel more than just 30 miles to work, sum even travel across the states
Can someone please help me here ...??
9514 1404 393
Answer:
(c) 1/3 of 8 cups
Step-by-step explanation:
When the 8 cups of flour are divided evenly into 3 parts, each part is ...
1/3 of 8 cups of flour
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on equally sized slips of paper and places them in a bag. He shakes the bag and selects 3 slips of paper. Is the sample of 3 questions a simple random sample? Yes, because the paper slips were equally sized. Yes, because the paper slips were equally sized and the bag was shaken. No, because there are only 10 questions. No, because the questions were selected using a bag.
Answer:
B:yes because the paper slips were equally size and the bag was shaken
Step-by-step explanation:
Taking the test
15.239 rounded to the nearest tenth
Answer:
15.2
Step-by-step explanation:
This is because 15.239 their would have to be a 5 instead of a 3 to make it 15.3 so it would have to be 15.2 hope this helps!!!
{3/4 x (3/3/4 ÷ 5/16)} -3/1/3
Find the perimeter of the figure below, in meters.
2.7 m
2.7 m
*4m
Answer:
31.8 m
Step-by-step explanation: 6 5 17 26
add up all the lengths to find the perimeter
or sum the multiplication of the common lengths
P = 6 × 4.4 m + 2 × 2.7 m
= 26.4 m + 5.4 m
= 31.8 m
Need help with all of these!!! ASAP!!
15, 16, 17, 18!!!
Answer:
15. A
16. B
17. B
18. C
Step-by-step explanation:
PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore ! ☂
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Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.
NO LINKS please and thank you
Answer:
6x²+4x
Step-by-step explanation:
The given expressions are 3x²- 4x-4 and 3x²+8x+4.
We need to add these two expressions.
3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4
= 6x²+4x
On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x
Plzzzzz hellp!!! I’ll give you best answer! This is urgent!
13) h(x) = 4x – 3
g(x)= x2 + x
Find (nºg)(x)
Answer:
A
Step-by-step explanation:
the way you multiply it makes all the numbers negative so it has to be A
Hope this helps! Have a wonderful day :)
Find the area of the decagon.
Answer:
A=5/2a^2(5+2√5)
Step-by-step explanation:
What is the best estimate of the area of the figure on the grid if each square has an area of 4 square inches?
Answer:
The ans is 144 square inchea
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 6 milliliters (ml) and a standard deviation of 0.4 ml. Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
a. 4.464 ml.
b. 4.836 ml.
c. 4.936 ml.
d. 4.964 ml.
e. 5.536 ml.
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that [tex]\mu = 6, \sigma = 0.4[/tex]
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 6}{0.4}[/tex]
[tex]X - 6 = 1.28*0.4[/tex]
[tex]X = 6.512[/tex]
The 90th percentile of the distribution is 6.512 ml.
2. Evaluate the function (3pts each) f(x) = 2x2 -*+5 a) f(-2) b) f(2x) c) f(x-1) 3. Find the domain of the function. (5 pts each) 7X-5 a) f(x) = Vax- x²1 b) g(x) = x25x+6 Domain: Domain: 4. Calculate the difference quotient on the following function. You must show work for credit. (5pts) f(x) = 3x2 - 5
Answer:
2a : f(-2) = 15
2b : f(2x) = 8x² - 2x + 5
2c : f(x-1) = 2x² - 5x + 8
3a : x > 1/3
3b : x <> {2,3}
4 : 6x
Step-by-step explanation:
2a.
2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15
2b.
2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5
2c.
2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =
= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8
3a.
the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.
so, all that is left is x>1/3.
3b.
we must avoid a division by 0. everything else is well defined.
so, when is that expression x² - 5x + 6 = 0 ?
solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/2a
a = 1
b = -5
c = 6
x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2
x1 = (5+1)/2 = 6/2 = 3
x2 = (5-1)/2 = 4/2 = 2
so, these values must be avoided for x. everything else is valid.
4.
(f(x+h) - f(x))/h
for h going to 0.
f(x) = 3x² - 5
f(x+h) = 3×(x+h)² - 5
f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =
= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²
=>
(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x
Help me please someone ( finals )
Step-by-step explanation:
the first one is ( vertical )..
the third one is 59.
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
Answer:
Step-by-step explanation:
|3x-9|≤15
-15≤3x-9≤15
-15+9≤3x≤15+9
-6≤3x≤24
-2≤x≤8
x∈[-2,8]
|2x-3|≥5
2x-3≤-5
2x≤-2
x≤-1
and
2x-3≥5
2x≥8
x≥4
solution is x∈[-2,-1]∪[4,8]
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
Help please thank you very much
Answer: [tex]2\sqrt{7}[/tex]
When writing this on a keyboard, you would say 2*sqrt(7)
========================================================
Explanation:
The formula we'll use is
A = 0.5*p*q*sin(R)
where R is the angle between sides p and q.
The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.
Plug in the given values and simplify to get the following
A = 0.5*p*q*sin(R)
A = 0.5*(x+4)*x*sin(60)
A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle
A = 0.25*(x^2+4x)*sqrt(3)
A = (0.25x^2+x)*sqrt(3)
Set this equal to the given area of A = sqrt(27) and solve for x
A = (0.25x^2+x)*sqrt(3)
(0.25x^2+x)*sqrt(3) = A
(0.25x^2+x)*sqrt(3) = sqrt(27)
(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom
0.25x^2+x = 3
(1/4)x^2+x = 3
x^2+4x = 12 .... see note2 at the very bottom
x^2+4x-12 = 0
(x+6)(x-2) = 0
x+6 = 0 or x-2 = 0
x = -6 or x = 2
A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.
Since x = 2, this means we have the following side lengths so far
p = RQ = x+4 = 2+4 = 6q = PR = x = 2Now apply the law of cosines to find the missing side.
r^2 = p^2 + q^2 - 2*p*q*cos(R)
r^2 = 6^2 + 2^2 - 2*6*2*cos(60)
r^2 = 36 + 4 - 24*1/2
r^2 = 40 - 12
r^2 = 28
r = sqrt(28)
r = sqrt(4*7)
r = 2*sqrt(7)
Side PQ is exactly 2*sqrt(7) units long
This approximates to 2*sqrt(7) = 5.2915
------------------------------------
Footnotes:
Note1: sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)Note2: I multiplied both sides by 4 to clear out the fraction13/10+2/100=?/100 do you guys know what it os
Answer:
132/100 or 1.32
Step-by-step explanation:
13/10=130/100
130/100+2/100=132/100
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
factorise and solving
Answer:
a. (x+2)(x+3)
b. x = -2
x = -3
Step-by-step explanation:
a.
split 5x into 2x + 3x
then, you get
x² + 2x + 3x + 6
Split into (x² + 2x) + (3x + 6)
factorize individual groups
x (x + 2) + 3 (x + 2)
combine x + 3
your final answer is
(x + 2) (x + 3)
b.
if (x + 2) (x + 3) = 0
then (x+2) = 0 and (x+3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Answer:
A)(x+2)(x+3)
B)(x + 2) (x + 3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Step-by-step explanation:
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results: Day Mon Tue Wed Thu Fri Sat Sun # of sick days 22 11 16 17 21 28 25 They want to perform a x? goodness-of-fit test to determine if these results suggest that employees were more likely to take sick days on certain days. What is the expected count of sick days taken on Saturday? You may round your answer to the nearest hundredth. Expected:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
Answer:
20
Step-by-step explanation:
The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466
Answer:
2) 0.0914
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
Please help me solve this question
Answer:
523
Step-by-step explanation:
(5x4)x6=9-4x93n hope it helps!
PLEASE HELP I WILL AWARD BRAINLY
Eight pipes were turned on to fill the pool in 36 hours. Then, after 12 hours some of the pipes were turned off, and the rest of the pool was filled in 32 hours. How many pipes were turned off?
Answer:
2 pipes
Step-by-step explanation:
So.. I'm not too sure either, but I'll try to solve it.
Equation: 4x=8 when x=number of pipes turned off after 12 hours
Since there were initially 8 pipes and there are 4 hours between 36 planned hours to fill the whole pool and 32 actual hours passed to fill the rest of the pool, you multiply them.
Which integer(s) make the statement true? |x| = 5
A: 5
B: -5
C: 5 and -5
D:0
For 100 Points.
List the domain and range for the relation below: (The picture is down below)
No links or I will report
Answer:
I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.
Hope I helped :)
HELP ME PLEASEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
Answer:
12. 7:9
13. 3:4
14. 3:2
15. 2:1
16. 19:4
17. 5:17
18. 3:1
19. 4:3
20. 5:2
Answer:
21
Step-by-step explanation:
Help please I need it:
Answer:
Step-by-step explanation:
The number of sandwiches sold: 73
The cost to make one sandwich: S
The profit the band earns from one sandwich: 0.2S
The amount of money that the band recieves for selling one sandwich:
S + 0.2S
As a fraction in simplest terms, what would you multiply the first number by to get the second
first number - 26
second number -58
26•(blank)=58
please help
Answer:
2
Step-by-step explanation:
someone help please !
Answer:
x = 11.5
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 8^2 = 14^2
x^2 + 64 = 196
x^2 = 196 - 64
x^2 = 132
x = [tex]\sqrt{132}[/tex]
x = [tex]2\sqrt{33}[/tex]
x = 11.5
Answer:
11.5
Step-by-step explanation:
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 14^2
64 + b^2 = 196
-64 -64
(radical) b^2 = (radical) 132
b = 11.5
