Answer:
45.584
;)
Have a nice day
The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old? a. 50% b. It could be any value, depending on the magnitude of the standard deviation. c. 1.96% d. 21%
Answer:
50%
Step-by-step explanation:
Recall : When given a normal or Symmetric distribution, the mean of the distribution is at the centre with 0.5 or 50% of the distribution to either side (right and left) of the distribution.
Hence, if the mean = 21 ; then the percentage of student body with atleast 21 years is the percentage to the left of the distribution, which is 50%.
Therefore, P(x ≤ 21) = 0.5 = 50%
How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 3.7 lb of the population mean, and the population standard deviation is known to be 28 lb.
Answer: the required sample size = 155
Step-by-step explanation:
If the standard deviation of the prior study is known, then the formula to compute required sample size:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] = populion standard deviation.
Given: E = 3.7 , [tex]\sigma=28[/tex]
Critical value for 90% confidence = 1.645
Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]
[tex]n=(12.4486486486)^2\approx155[/tex]
Hence, the required sample size = 155
12 43 a а- 5 6 b + 8 7 Line a is parallel to line b, m 2 = 4x+44, and m 46 = 6x +36 . Find the value of x.
Answer:
m=−57/92,x=−43/4
Step-by-step explanation:
y is directly proportional to the positive square root of x when x = 9, y= 12 find y when x =1/2
Y =k√x
12 = 3k
k = 4
now X = 1\2
y = 4√1/2
y = 2√2
Answer:
y = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation
To find k use the condition when x = 9, y = 12
12 = k[tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )
4 = k
y = 4[tex]\sqrt{x}[/tex] ← equation of variation
When x = [tex]\frac{1}{2}[/tex] , then
y = 4[tex]\sqrt{\frac{1}{2} }[/tex] = 4 × [tex]\frac{1}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
y = [tex]\frac{4}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{4\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex]
I need the answer pls I will mark brainlist just answer this
Answer:
The first one is B and the second is C :)
Answer:
C. 12 and A.5
Step-by-step explanation:
The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to
6-1 = 5
The linear probability model is: the application of the multiple regression model with a continuous left-hand side variable and a binary variable as at least one of the regressors
a. True
b. False
what is your when x = 60?
Answer:
300
Step-by-step explanation:
Find the y value when x = 60
Looking at the graph when x=60, y= 300
pleaser help me i really need help please
Answer:
V ≈ 706.9 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here r = 5 and h = 9 , then
V = π × 5² × 9
= π × 25 × 9
= 225π
≈ 706.9 cm³ ( to the nearest tenth )
The question is in the picture (:
Answer:
[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]
y= 2x + 7 y= -4x - 5 What is the solution for the system of equations?
Answer:
x = -2, y = 3.
as an ordered pair it is (-2, 3).
Step-by-step explanation:
y= 2x + 7
y= -4x - 5
As both right hand expression are = y we have:
2x + 7 = -4x - 5
6x = -12
x = -2
Substitute for x in equation 1:
y = 2(-2) + 7 = 3.
plz help me it is do at 10:45
Answer:2+6+2+1+3+2+1+1+3+0+4+2=27
27 divided by 12=2.25
PLEASEEEE HELP MEEEEEEE
Answer:
The answer is A.
Step-by-step explanation:
If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).
I need to know where to put the lines
Answer:
put them on the points
Step-by-step explanation:
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Answer:
4 weeks
Step-by-step explanation:C. 5 weeks 90+48 138
88+40 138
Step-by-step explanation:
s
Find the circumference of a circle with a radius of 6 cm.
Hi besties i need. help ASAP please and. ty
Answer:
37.7
Step-by-step explanation:
Circumference = [tex]2\pi r[/tex]
Circumference = [tex](2)(\pi )(6)[/tex]
Circumference = 37.69911184 / 37.7
Therefore, circumference of the circle with the radius 6 cm is 37.7.
Answer:
37.7
Step-by-step explanation:
formula for circumference of a circle=2πr
2×π×6=37.7cm
Mary is preparing for her college entrance exams. In a practice test, she answered 15 problems in 45 minutes. At this rate, how many problems is she expected to answer in 180 minutes?
(Proportional Reasoning)....
I really need an answer, and it would be great if you answer
Answer:
I'm guessing 60
Step-by-step explanation:
84% sure tho
how do I solve for n
Answer:
n=14
Step-by-step explanation:
2x14=28-3=25
25/5 = 5
What is the y-intercept of this line?
y = 4x + 5
b = [?].
Enter
I am stumped on these!
What combination of translation is shown below?
reflection, then translation
Aurora wants to make a donation to a charity at the end of the year she starts by saving a small amount of money each week as shown in the graph
Answer:
The relationship between weeks and the total amount is:
[tex]y=10x[/tex]
Step-by-step explanation:
We have here a linear relationship between weeks and the total amount. The equation of a line is:
[tex]y=mx+b[/tex]
Where:
m is the slope b is the y-interceptWe need two points to find the slope.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let's use any pair points from the plot.
[tex]m=\frac{60-40}{6-4}[/tex]
[tex]m=10[/tex]
And we also see that the y-intercept is 0, therefore the equation will be:
[tex]y=10x[/tex]
I hope it helps you!
Answer:
y=10x and Over 4 weeks, Aurora saves $40
Step-by-step explanation:
In Δ Q R S s = 7.9 cm ∠ Q = 125 ∘ and ∠ R = 23 ∘ '. Find the length of q, to the nearest 10th of a centimeter.
Answer- 12.2
Answer:
See the attachment ⬆️⬆️
What is the area of this composite figure
48.56cm2
49.12cm2
74.24cm2
36.56cm2
Answer:
D. 36.56 cm²
Step-by-step explanation:
The composite figure is composed of a rectangle and two semicircles.
The two semicircles makes 1 full circle.
Thus:
Area of the composite figure = area of rectangle + area of circle
= L*W + πr²
L = 6 cm
W = 4 cm
r = ½(4) = 2 cm
Area = 6*4 + π*2²
Area = 24 + 12.56
Area = 36.56 cm²
The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?
x+3
x−3
x×3
x÷3
Answer:
C; x*3
Step-by-step explanation:
Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 feet D 38 f
Answer:
336+76+48+38= 498
Step-by-step explanation:
add all those sides up because it is just the perimeter
Answer:
336+76+48+38= 498
Step-by-step explanation:
PLEASEEEEEE HELLPPPPP MEEEEE
Answer:
It's A
Step-by-step explanation:
The r coordinate of x is positive 4 which would be the frist number.
The r coordinate of y is positive 1 which would be the second number.
chipo set out from a on a bearing of 130 to town b ,she then boardef a bus from town b another town c on a bearing of 030 directly east of a. calculate the bearing of town a from her new position
Answer:
emm who exactly is chipo bcause i literally have no idea
II. Write whether each number is an EXPRESSION or an EQUATION.
11.
2 + 5
12.
2 + 5 = 7
Ć XLN13.
4x = 12
14.
X + 25
15.
16-6 = 10
Answer:
11. Expression
12. Equation
13. Equation
14. Expression
15. Equation
Step-by-step explanation:
Expression:
Has no equal sign.
Equation:
Has equal sign.
11. 2 + 5
14. X + 25
Those which do not have the equal sign are expressions.
12. 2 + 5 = 7
13. 4x = 12
15. 16 - 6 = 10
Those with the equal sign are equations.
at what rate will £420 yield
£70 in 4 years
Answer:
4.17%
Step-by-step explanation:
Rate = interest earned / (principal x time)
70 / (4 x 420) = = 0.0417 = 4.17%
I need help asap. Math Writing Expressions.
Answer:
1:
6y-3+y
D =7y-3
2.
50C
3.
6÷K
4.
7-x
5.
8p-4p
6.
2g-3
7.
1-7/p
D.(p-7)/p
Please help me I need to finish
The given triangle is a Right angled triangle,
By applying trigonometry :
[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]
[tex] \tan(45 \degree) = \dfrac{7}{a} [/tex][tex]1 = \dfrac{7}{a} [/tex][tex]a = 7[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]