Answer:
160
Step-by-step explanation:
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Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score
of a man 72.4 inches tall. (to 2 decimal places)
Work Shown:
z = (x - mu)/sigma
z = (72.4 - 69.0)/(2.8)
z = (3.4)/(2.8)
z = 1.2142857 .... which is approximate
z = 1.21
Z-score of a man who is 72.4 inches tall is 0.45.
Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.
A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:
= ( - ) /
Where:
- is the value we want to find the z-score for (72.4 inches in this case).
- is the mean of the dataset (69.0 inches).
- is the standard deviation of the dataset (2.8 inches).
Plugging in the values:
= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446
Rounded to two decimal places, the z-score is approximately 0.45.
This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.
In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.
This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.
Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.
In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.
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evaluate x-2y when x =0.75 and y =0.96
Step-by-step explanation:
x = 0,75
y = 0,96
= x - 2y
= 0,75 - 2.0,96
= 0,75 - 1,96
= -1,21
18(3+14) x 6(21+4)
With and without distributive property
a lottery winner had to pay 30% of his winnings in taxes. how much did he win if he paid $75,000 in taxes?
Find the slope of the line that passes through the points (4,1) and (-2.7).
What is the slope of a line perpendicular to this line?
Answer:
the slope=-1 the slope perp=1
Step-by-step explanation:
to find slope perpendicular you just have to multiply your slope by something and have it equal -1
for example
1/2x=-1
the slope perpendicular to a line with the slope of 1/2 would be -2 beacause 1/2x-2=-1
so the slope x perpendicular slope = -1
Look at pic ! The length of each of two sides of a triangle is 15. The third side's length is 1572. Classify the triangle.
A) 30-60-90 scalene triangle
B) 30-60-90 isosceles triangle
C) 45-45-90 isosceles triangle
D) 45-45-90 scalene triangle
Answer The correct answer to the following question is not provided U need to do it your self lol jk answer is d
Step-by-step explanation:
Please find a... I will mark you brainliest
Given, consecutive / adjacent angles in a parallelogram are supplementary or make 180°. So, here (5a + 34)° & (3a + 26)° are supplementary angles.
=》5a + 34 + 3a + 26 = 180
=》5a + 3a + 34 + 26 = 180
=》8a + 60 = 180
=》8a = 120
=》a = 120/8
=》 a = 15
______
The picture is not clear, so I hope the values I took are correct.
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Use a calculator . Round to the nearest tenth of a degree given cos 0=0.8458
0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347
PLZ HELP!!! WILL GIVE BRAINLIEST!!! State whether each conditional is true or false. Write the contra positive for the conditional and state whether the contrapositive is true or false.
1. If you ride a roller coaster, then you will experience sudden drops.
2. If you only have $15, then you can buy a meal that costs $15.65.
Step-by-step explanation:
TrueFalseHope it is helpfulAnswer: question 1 If you are going over the top of a hill or rollercoaster quickly, you could feel your stomach drop or stomach sink. In actuality, it's probably the sensation of all your internal organs shifting slightly in your ribcage as your body defies gravity for a few seconds.
Step-by-step explanation: i do not know the 2 question im sorry mabye question 1 may help if not thaks ok bye :)
Please help with this question
Answer:
The question or equation is not clear.....
7 6/10= ?/? please help
Answer:
7.6
Step-by-step explanation:
Answer:
76/10
Explanation
7 × 10 is 70 + the 6 is 76/10
you can look up fractions on yt
to get a better explication.
Find the value of x.
M1= 3x + 7 and m5 = 25
Answer:
x=9
Step-by-step explanation:
m5=m1 so
25=3x+7
18=3x
x=9
A. p(x) = (2x - 1)^3(x - 2)^2
B. p(x) = (2x - 1)^2(x - 2)^2
C. p(x) = (2x - 1)^3(x - 2)^3
D. p(x) = (2x - 1)^2(x - 2)^3
Answer:
THE ANSWER IS
C. p(x) = (2x - 1)^3(x - 2)^3
Step-by-step explanation:
PLEASE FOLLOW
AND MAKE IT BRAINLIEST...
A researcher wants to estimate the likelihood that the baseball player will hit 2 home runs in a single game, given that the player hits a home run once in every 13 times at bat. Which type of study is most suitable for data collection in this situation?
A. experimental
B. census
C. survey
D. simulation
Jack and Shelly have saved up a total of $29.00. Jack has saved 4 dollars more than 2/3 as much as Shelly. How much has Shelly saved?
Answer:
i think 15 if thats on your answer sheet
Step-by-step explanation:
pls help ill give brainliest
Answer:
4
Step-by-step explanation:
-5g -6
Let g= -2
-5 (-2) -6
Multiply
10 -6
4
Answer:
A. 4
Step-by-step explanation:
So, we have an equation with a variable (g), and they've given us the value of g to be -2. All we have to do at this stage is plug in the value of g into the equation.
-5g-6 (g=-2)
-5(-2)-6
10-6=4
Doing the math by plugging in -2, you would get your answer to be 4. Let me know if you see any errors, and if you have any further questions at all.
A Distributive Property and GCF
56+42
Answer:
98
Step-by-step explanation:
you at 56 in to 42
Answer:
98
pa brainless
Step-by-step explanation:
please brainless
The ratio of the length and breadth of a rectangular field is 8: 7. If the breadth of the field is 98 m, find its length.
Answer:
112
Step-by-step explanation:
l : b = 8 : 7
b = 98m
so l / b = 8/7
l / 98 = 8 / 7
l = 98 * 8 / 7
= 112
Which numbers are solutions to the equation 30=x2?
If you meant 2x, x is 15; if you meant x^2, the answer is the square root of 30
$30.50 for 32 ounces of specialty cooking oil
Answer: So each ounce of specialty oil cost about 0.95
Step-by-step explanation:
tim gtri nguyen cua x de bthuc B=x+2/can(x) - 1
Answer:
sorry di ko alam
Step-by-step explanation:
pls help fast
brainlest to enyone who helps
Answer:
B STEP 2
Step-by-step explanation:
5/8 is not more than 1
COS(α+β); SINα=- 1/3, α IN QUADRANT IV, TANβ=7/3, β IN QUADRANT III
PLEASE, I HAVE BEEN TRYING TO FIND THE ANSWER FOR 3 HOURS, AND I HAVE SPENT LIKE 1000 POINTS
Recall the angle sum identity for cosine,
cos(α + β) = cos(α) cos(β) - sin(α) sin(β)
Then given sin(α) = -1/3, we have
cos(α + β) = cos(α) cos(β) + 1/3 sin(β)
α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get
sin²(α) + cos²(α) = 1
⇒ cos(α) = √(1 - sin²(α)) = 2√2/3
β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get
sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)
⇒ tan²(β) + 1 = 1/cos²(β)
⇒ 1/cos(β) = -√(tan²(β) + 1) = -√58/3
⇒ cos(β) = -3/√58
Also recall that by definition,
tan(β) = sin(β)/cos(β)
⇒ sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58
Putting everything together, we find that
cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)
or more clearly,
[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]
Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per roll for each shop.
Write which shop is the best value for money in the comment box.
Step-by-step explanation:
Lidal : 9 rolls for £3.51
1 roll for 3.51/9 = £0.39
Oldi : 4 rolls for £1.52
1 roll for 1.52/4 = £0.38
so, Oldi has the best value for money when buying toilet rolls.
David made an error when determining the product of (–2.5)(–8.3).
Step 1: (–2.5)(–8.3) = (–8.3)(–2.5)
Step 2: = (–8.3)(–2) + (–8.3)(–0.5)
Step 3: = (–16.6) + (–4.15)
Step 4: = –20.75
In which step did David make his first error?
Answer:
step 3
Step-by-step explanation:
when you multiply an even amount of negative numbers you will always get a positive result thus the answe would be 16.6 + 4.15 as in positive numbers
help please i need it
Answer:
42m + 12
Step-by-step explanation:
6 ( 7m + 2 )
= 6 ( 7m ) + 6 ( 2 )
= ( 6 * 7m ) + ( 6 * 2 )
= 42m + 12
Answer:
a
Step-by-step explanation:
do distributive property and u get 42m+12
the shown bellow question answer
Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by [tex]11*4=44[/tex]
The area of a semi-circle can be found with the formula [tex]\frac{1}{2} \pi r^2[/tex] where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is [tex]\frac{1}{2}\pi 2^2=\frac{1}{2}\pi*4=2\pi[/tex]
Therefore, the area of the shape is [tex]44+2\pi[/tex] or [tex]50.283cm^2[/tex] (3 decimal places)
need help with this part
Answer:
1. 42 people can be seated
2. 16 tables should be used.
Step-by-step explanation:
Part 1:
Since we are given the function, p(n) = 4n + 2, we need to plug in 10 to "n." This is because "n" represents the number of tables as stated on the top of the pciture. And "p(n)" represents the number of people that can be seated.
p(n) = 4(10) + 2
p(n) = 40 + 2
p(n) = 42
Part 2:
For this question, since we are given 65 as the total number of people that can be seated, we would plug in 65 in "p(n)", to result in the following equation.
p(65) = 4n + 2
Then solve the equation and use the property of inverse operation.
65 = 4n + 2
65 - 2 = 4n + 2 - 2
63 = 4n
63/4 = 4n/4
15.75 = n
Although we're given 15.75 as the number of tables that should be used, we can't really have a 0.75 of a table, so we would round 0.75 to 1.
15 + 1 = 16
16 tables are required.
Consider an economy made up of 100 people, 50 of whom hold jobs, 10 of whom are
looking for work, and 15 of whom are retired. The unemployment rate is approximately:
17 percent
10 percent
25 percent
20 percent
12 percent
Answer:
20 por cento de cada um , que colocar
The unemployment rate is approximately 17 per cent. The correct option is A.
To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).
Given:
Total population = 100
Employed individuals = 50
Individuals looking for work (unemployed) = 10
Total labour force = Employed + Unemployed
Total labor force = 50 + 10 = 60
Unemployment rate = (Unemployed / Total labour force) x 100
Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent
Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.
Therefore, the correct answer is option A.
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