Answer:
a. Z = -1.175.
b. Z = 1.34.
c. |Z| = 2.054.
d. |Z| = 1.28.
Step-by-step explanation:
Z-score:
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.
a. The critical z-score for a left-tailed test at a 12% significance level
Left-tailed test: The region of interest is the 12th percentile or below.
Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.
b. The critical z-score for a right-tailed test at a 9% significance level
Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.
Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.
c. The critical z-score for a two-sided test at a 4% significance level is 1.75.
Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.
Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.
d. The critical z-score for a two-sided test at a 20% significance level is 0.85.
Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.
Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
Can anyone help lend me a hand solving these problems please?
Answer:
Timmy's tubes = 11.25$
Fred's floats = 11.375$
Step-by-step explanation:
For Timmy's tubes
We use unitary method to solve
For 2 1/2 hours, it charges $18.75
So, for 1 1/2 hours it charges $11.25
Similarly for Fred's floats
Base fee = $2
Fee per hour = $6.25
So, for 1 1/2 hour fee = 2 + 6.25 + 3.125 = $11.375
So, Terry should choose Timmy's tubes
well, let's see, what do we know about Timmy's Tubes, is a direct variation equation, since he's charging depending on the hours it's rented, thus
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{\underline{c}ost varying with \underline{h}ours}}{c = kh}\qquad \textit{we know that } \begin{cases} c=18.75\to \frac{75}{4}\\ h=1\frac{1}{2}\to ~\hfill \frac{5}{2} \end{cases} \\\\\\ \stackrel{cost}{\cfrac{75}{4}}=\stackrel{hours}{\cfrac{5}{2}h}\implies 2\cdot 75=4\cdot 5h\implies 150=20h\implies \cfrac{150}{20}=h\implies \cfrac{15}{2}=h \\\\\\ therefore\qquad c=\cfrac{15}{2}h\impliedby \textit{Timmy's rate}[/tex]
now, Fred charges $2 flat right off, plus $6.25 for every added hour, so Fred's equation will more or less be
1 hour 2 + 6.25(1)
2 hours 2 + 6.25(2)
3 hours 2 + 6.25(3)
h hours 2 + 6.25(h)1)
how much will Timmy charge for 1 1/2 hour?
[tex]c = \cfrac{15}{2}\cdot \stackrel{h}{1\frac{1}{2}}\implies c = \cfrac{15}{2}\cdot \stackrel{h}{\cfrac{3}{2}}\implies c = \cfrac{15}{4}[/tex] or just 3.75
how much will Fred charge for the same time?
[tex]c=2+6.25\left( \frac{3}{2} \right)\implies c=9.375[/tex]
2)
using only $12 for each, who is the better bargain?
[tex]\stackrel{\textit{Timmy's}}{c = \cfrac{15}{2}h}\implies 12=\cfrac{15h}{2}\implies 24=15h\implies \cfrac{24}{15}=h\implies \boxed{1.6=h} \\\\\\ \stackrel{\textit{Fred's}}{c = 2 + 6.25h}\implies 12=2+6.25h\implies 10=6.25h \\\\\\ \cfrac{10}{6.25}=h\implies \boxed{ 1.6=h}[/tex]
well, let's notice, Terri is going to get the same amount of hours with either, so, it really doesn't matter, both will only give 1.6 hours, or 1 hour and 36 minutes.
The sum of two numbers is 58. The smaller number is 6 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
x = 58-x-6
x = 58-6-x
x = 52-x
x+x = 52
2x = 52
x= 52/2
x = 26
58-26
= 32
Large number = 32
Small number = 26
DONEI HOPE THIS HELPS YOU!!
8 minus the difference of p and 4 un algebraic expression
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
Which is true about the functional relationship shown in the graph
Answer:
Step-by-step explanation:
C
Given f(x) = 52x, evaluate f(–1), f(0), and f(2). Question 1 options:a. 1/25, 0, 625 B. 25, 1, –25 c. 1/25, 0, 25 d. 1/25, 1, 625
Answer:
1/25, 1, 625
Step-by-step explanation:
The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
f(x) = [tex]5^{2x}[/tex]
Put x = -1
f(-1) = 5⁻² = 1/5² = 1/625
Put x = 0
f(0) = 5⁰ = 1
Put x = 2
f(2) = 5²ˣ² = 5⁴ = 625
Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".
For more about the function,
brainly.com/question/23712366
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A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²
identify a transformation of a function f(x)=x^2 by observing the equation of the function g(x)=5(x)^2
Answer:
Thus the function g is the function f stretched vertically by a factor 5.
Step-by-step explanation:
Multiplication of a function by a constant:
When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.
In this question:
f(x) = x^2
g(x) = 5x^2
Thus the function g is the function f stretched vertically by a factor 5.
Which of the following expressions is equivalent to 45 - 165n?
Select all that apply.
A. 3(15 - 165n)
B. 5(9 -33n)
C. 15(5 - 33n)
D. 9(5 - 33n)
E. 15(3 - 11n)
Answer:
E
Step-by-step explanation:
45-165n
15(3-11n)
basically
45/15=3. 165/15=11
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Which distribution should you use for this problem
Answer:
The z-distribution should be used for this problem.
Step-by-step explanation:
The population distribution is assumed to be normal. Which distribution to use?
If we have the standard deviation for the sample, we use the t-distribution.
If we use the standard deviation for the population, we use the z-distribution.
There is a known standard deviation of 2.2 minutes.
This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.
Which point is the center of the circle that contains the vertices of a triangle?
The circumcenter is the center of the circle that contains the vertices of a triangle
How to determine the point?When a triangle is inscribed in a circle, the vertices of the triangle touch the circumference of the circle
A line drawn through the center of the circle and passes through each of the triangle vertex is its circumcenter.
Hence, the name of the required point is the circumcenter
Read more about circumcenter at:
https://brainly.com/question/14368399
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Answer:
B. The point of intersection of the perpendicular bisectors of the side
Step-by-step explanation:
definition of circumcenter as the previos question answered
A teacher offers 8 extra credit assignments.what is the domain of this graph
Do the following lengths form a right triangle?
Answer:
Yes, they do
Step-by-step explanation:
Because
6+8=14>9
6+9=15>8
8+9=17>6
please help as soon as possible:)
Answer:
First table (far left)
Step-by-step explanation:
The far-left table is the only function with a constant rate. All other tables do not contain this.
PLS HELP ASAP!!!!!! BRAINLIEST GETS 20 POINTS
hm//jhfjvxxdfcgjhkjlkl.jjkmmbvdxfoknkbkbkbhb
Anna invested 2,500 at an annual rate 5%. How long will it take until anna earns 1,125 in interest
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Answer:
9 years
Step-by-step explanation:
The simple interest formula is ...
I = Prt
where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...
t = I/(Pr) = 1125/(2500×.05) = 1125/125
t = 9 . . . . years
It will take 9 years for Anna to earn 1125 in interest.
31. The length of a rectangle is 2 meters less than
three times the width. What is the maximum
integer value of the length if the perimeter is
less than 43 meters?
Answer:
l=15
Step-by-step explanation:
let length=l
width=w
l=3w-2
w=(l+2)/3
Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43
2(4l+2)≤129
8l+4≤129
8l≤125
l≤125/8
so l=15
________________
P=2(l+w)=2(3w-2+w)=8w-4≤43
8w≤47
w≤47/8
l≤141/8-2
l≤125/8
l=15
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF Y=
Answer: 8 is the value for y.
since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.
solve 3p²+7pqr+2q²r²
Answer:
Step-by-step explanation:
Hope this helps !!
Can you solve this equation???
Answer:
-6
Step-by-step explanation:
Move the variable to the left hand side and change its sign.
5 - 2x + 4x = -7
Collect like terms.
- 2x + 4x = - 7 - 5
2x = - 7 - 5
Calculate the difference.
2x = -12
Divide both sides.
x = -6
19. What was done to overcome the problem of the MSL landing?
O More airbags were used
O A pulley system was created
O A parachute was used
0 A tether and roper were used
HELP PLS ASAP
2. Determine the sum of the measures of the interior angles of a dodecagon.
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Answer:
1800°
Step-by-step explanation:
The interior angles of a convex polygon with n sides have the sum ...
angle sum = (n -2)×180°
For the 12-sided dodecagon, the angle sum is ...
angle sum = (12 -2)×180° = 1800°
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
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Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
4x-5y<_1 isolated by y
Answer:
[tex]y \ge \frac{4x-1}{5}[/tex]
Step-by-step explanation:
Given
[tex]4x - 5y \le 1[/tex]
Required
Solve for y
[tex]4x - 5y \le 1[/tex]
Subtract 4x from both sides
[tex]- 5y \le 1-4x[/tex]
Divide both sides by -5 (the inequality sign changes)
[tex]y \ge \frac{1- 4x}{-5}[/tex]
[tex]y \ge \frac{4x-1}{5}[/tex]
If this analysis is based on 15 data pairs, what is the 95% confidence interval for the slope of the regression line?
A. (-2.28, 3.38)
B. (-2.243, .34)
C. (-6.09, 2.63)
D. (.375, .724)
E. (.3785, .7195)
Answer:
A. (-2.28, 3.38)
Step-by-step explanation:
The confidence interval of the slope :
b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (15 - 2) = 13
Tcritical = 2.160369
b = slope Coefficient = 0.54924
S.E = 1.311
Hence, we have :
Confidence interval = 0.54924 ± (2.160369 * 1.311)
Confidence interval = 0.54924 ± 2.832243759
Lower boundary = 0.54924 - 2.83224 = - 2.283
Upper boundary = 0.54924 + 2.83224 = 3.3814
The answer option is A. (-2.28, 3.38)
HELP HELP HELP PLEASE!!!!!!!!!!
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Answer:
(a) vertical compression by a factor of 1/3
Step-by-step explanation:
We can see that g(x) = 1/3f(x). Multiplying a function by a constant scales the graph vertically by that factor. When the magnitude of the factor is more than 1, we say the graph is "stretched." When it is less than 1, we say the graph is "compressed" by that factor.
Here, the scale factor is 1/3, so the graph is "vertically compressed by a factor of 1/3."
_____
Additional comment
My personal preference is for compression to be described by the factor the graph is divided by. I would call g(x) a compression of f(x) by a factor of 3. Modern curriculum authors disagree, calling it compression by a factor of 1/3.
Be careful. Using the currently accepted language, a stretch is always by a number larger than 1, and a compression is always by a number less than 1. This rules out choices C and D simply on the basis of the language used.
__
For many graphs, vertical scaling and horizontal scaling can be interchanged. We note that g(x) is wider than f(x), so could be stretched horizontally by some factor. That factor would be √3. The equation using a horizontal stretch factor would be g(x) = (x/√3)^2. Replacing x by x/k is a stretch by a factor of k in the horizontal direction.
In circle G with mZFGH
90, find the mZFJH.
Hope this help!!!
Have a nice day!!!
I’ll mark you as brainliest!
Answer:
Area of rectangle = l*b
11*9
99
I think it will help you.
Answer:
first is rectangle
L = 11 m
W = 9m
area = LW
area = 11 × 9
area = 99 sq.m
2nd is circle
D = 21 .6
r = 1/2 × 21.6
r = 10.8
area = 22/7 ×10.8²
area = 336.582 sq.
3rd triangle
B = 8 in
H = 4.6 in
area = 1/2 × 8 × 4.6
area = 18.4 sq.in
4th parallelogram
b = 12 in
h = 3 in
area = b × h
area = 12 × 13
area = 156 sq.in
5th trapezoid
h = 7cm
b1 = 4 cm
b2 = 10 cm
area = ½ ×7 (4 + 10
area =49 sq.cm
Step-by-step explanation:
hope this will help you
please answer thank you
The answer is surface area of composite shape= 411.8 Cm²
Solve the equation -6 + 4a = 18 for a.
OA) 4
OB) 5
OC) 6
OD 9
Step-by-step explanation:
-6 + 4a = 18
4a= 24
a=6
!!!!!!!!!!!!
Answer:
OC) 6
Step-by-step explanation:
Transpose -6 to the other side
-6 + 4a = 18
4a = 18+6
4a = 24
a = 6