Answer:
0.477%
6.55%
5.05%
Event in question (a)
Step-by-step explanation:
Given that:
p = 0.67 ; n = 80
Using Normal approximation :
Mean (m) = np = 80 * 0.67 = 53.6
Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057
probability that the number who oppose raising the age is
(a) at least 65
65 - 0.5 = 64.5 = x
Z = (x - m) / s
Z = (64.5 - 53.6) / 4.2057 = 2.592
P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)
(b) exactly 50
x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5
Z = (50.5 - 53.6) / 4.2057 = - 0.737
Z = (49.5 - 53.6) / 4.2057 = - 0.974
P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)
0.23056 - 0.16503 = 0.06553
(c) more than 60, and (d) identify any unusual events
x = 60 + 0.5 = 60.5
Z = (60.5 - 53.6) / 4.2057 = 1.64
P(Z > 1.64) = 0.0505
D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%
Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?
Answer:2 miles per hour
Step-by-step explanation:
1/3 times 6
To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B
What is Average speed?Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.
Now determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
Total time taken = 1/6 hour
Average speed = total distance / total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, Richard is at an average speed of 2 miles per hour
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For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2
Answer:
12.7
Step-by-step explanation:
[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Answer:
18 miles / hour
Beanie works cleaning carpets. He charges $99 per room. If he cleans 3 rooms in one home, 5 in another, and 4
in a third home, how much will he make?
A. $693
B. $1188
C. $891
D. $792
Answer:
B. $1188
Step-by-step explanation:
If he makes $99 per room, add all the rooms first:
3 + 5 + 4 = 12 rooms total
Then multiply the number of rooms by the price per room:
$99 * 12 = $1188
A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.
Answer:
Given function:
y=9.5x+62.1
We have to find the number of minutes x, when y=138.1°F
Put value of y in function.
138.1=9.5x+62.1
Subtract 62.1 from both sides.
76=9.5x
Divide both sides by 9.5.
8=x
or
x=8 minutes
Answer: After 8 minutes the temperature of water will be 138.1°
Step-by-step explanation:
Answer:
T= 8n+76
Step-by-step explanation:
First you need to find the average rate of change:
( 3, 100)
(9,148)
Subtract:
148-100= 48
9-3= 6
Then divide them:
48/6=8
This is your slope, now we must find our y- intercept by using the formula
y= mx+b:
y=mx+b
Plug in what you know:
y= 8x+b
To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)
Plug in your x's and y's into your almost complete equation:
100= 8(3)+b
Then solve to get b:
You should get b=76
Hope this helps
My last oneeeeee help please
Answer:
C HOPE THIS HELPS MARK BRain leist
Step-by-step explanation:
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.
Which table shows the same data?
Answer:
d
Step-by-step explanation:
What basic fact can you use to divide 2,800 by 7
Step-by-step explanation:
2800/7 = 400, ,
please you can see the upper paper which
can to solve this division math
These points are linear. Find the slope.
Answer:
5
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{15-10}{3-2}[/tex]
= 5
PLZ HELP ASAP WILL GIVE BRAINLIEST
god please help me i’ve been stuck on this problem for hours and i’m so hungry:(
Answer:
B
Step-by-step explanation:
u should go eat
Answer:
A)
because it passes the line twice instead of once
(fuctions only cross once)
hope that helped you:)
please make my answer brainiest as im trying get 3 brainiest answers
Someone please help me
4 (3n-2) is the answer.
Woops. Sorry I had no idea that it said expression (s) instead of expression, but that is one of the answers though.
Answer:
second box fourth box and 5th box
Step-by-step explanation:
What is the sum of ? × ? + ? =297
Answer:
145 x 2 + 7 = 297
- I hope this helps have a great night!
Answer:
297 is the sum.
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297 are the solutions to the "?"
Step-by-step explanation:
Well, the sum of a number is the answer of something when doing addition, so technically, this is already revealed.
If you meant what numbers the question marks represent, then this could be a number of answers. However, the easiest solutions would be:
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297
Hope this helps! :)
PLZ answer the QUESTION IF U KNOW THE ANSWER
what two properties were using this equivalent expression
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?
Answer:2
Step-by-step explanation:
.9x+6.8
.65x+7.3
Find x by graphing it
Whoops wrong question
Help me out hereeeeeeeeee
Answer:
0.28
Step-by-step explanation:
Simplify 8 over negative 3 divided by negative 4 over 9.
−8
−6
6
8
Answer:
The answer is 6. Hope this helped :D
Whats the slope of the line?
Answer:
-4,5
Step-by-step explanation:
There are two ways you can figure it out.
One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.
m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)
So you need to find the y and x coordinates-
Should I continue explaining? Or r u good?
A 3-yard roll of wrapping paper costs $8.64. What is the price per inch?
0.08$
Step-by-step explanation:
1yrd=36inch
3yard=108inch
108 inch costs 8.64$
8.64/108=0.08$ ( 1 inch cost)
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save.
Answer:
75.23=10.27x
Step-by-step explanation:
x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.
sin θ = 12/37. Find tan θ.
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA.
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]
Opposite side length= 12
Hypotenuse length = 37
Find the adjacent side length (b) using the Pythagorean theorem.
[tex]12^2 + b^2 = 37^2[/tex]
b = 35
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35
Choice B is the correct answer.
Answer:
Step-by-step explanation:
using sin inverse rule to get theta
[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex] <---- theta
so tan(18.9246) =12 /35
What is this! I will mark u as branilyst
if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.
Answer: -2, 1, 6,...97
Step-by-step explanation:
1st term: 1^2 - 3 = -2
1^2 = 1
1-3=-2
2nd term: 2^2-3 = 1
2^2 = 4
4-3=1
3rd term: 3^2-3 = 6
3^2 = 9
9 -3 = 6
10th term: 10^2-3 = 97
10^2 = 100
100-3=97
A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)
If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.
What is the observed frequency of her 6th season?The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:
Expected frequency = (65/100) * 150 = 97.5
The observed frequency of successful free throws in the 6th season is 105.
To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:
z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))
total sample size = 150
expected frequency = 97.5
observed frequency = 105
z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28
The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.
Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.
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Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Answer:
9/10 of a paragraph in a minute
Step-by-step explanation:
find out how much he can type in 1/3 of a minute
(3/5)/2 3/5=6/10 (6/10)/2 3/10
(3/10)*3=9/10
Answer:
9/10
Step-by-step explanation:
hope it worked
The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee
Answer:
14%
Step-by-step explanation:
5/35 = About 0.14
it's c
have a nice day mark me brainlist!
possible number of extrema a 4th degree polynomial could have is:
A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none
Answer:
A
Step-by-step explanation:
given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds
Answer:107.2
Step-by-step explanation:
Answer:
107.2
Step-by-step explanation:
6 x 16 = 96
.7 x 16 = 11.2
add them to get 107.2
The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dollars and cents?
5/13 as a decimal rounded to the nearest hundredth
Answer:
0.40
Step-by-step explanation:
5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40
Answer:
5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.
Step-by-step explanation:
You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40