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.
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answer:
452.4 in³
Step-by-step explanation:
Volume half sphere = 1/2 volume sphere
Volume sphere = 4/3πr²
Volume = 4/3*3.14*27 Radius = 1/2(6) . 3³ = 27
Volume ≈ 113.1
Volume Cylinder = Area circle x hieght
Area circle = πr²
Area circle = 3.14 * 9
Area circle = 28.26
Volume cylinder = 28.26 * 12 = 339.12
339.12 + 113.1 = 452.22
Because of rounding it would be ≈ 452.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answer:
5 13 and 10
blue cheese
100 POINTS!!!!!!!!!!!!!!!!!
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Hope this helped.....
Answer:
5 points huh thats mean
Step-by-step explanation:
If two events are complementary, then we know that: Multiple Choice the sum of their probabilities is one. the joint probability of the two events is one. their intersection has a nonzero probability. they are independent events.
Answer:
The joint probability of the two events is one.
Step-by-step explanation:
Complementary events:
If two events are complimentary, these three following things are true:
They are dependent.
The intersection of them is zero.
The joint probability of the two events is one.
The last one is the correct choice.
Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95
Answer:
450g coffee or 21.95$ coffee
Step-by-step explanation:
again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee
To wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.
Answer:
the answer would be 480 different ways because you would multiply all the numbers.
Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!
Answer:
23
UVW congruent to WFG
and
24
FHG congruent to LMN
Answer:
23 ) UVW is congruent to WGF
24 ) FHG is congruent to LMN
The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 children visits the museum. What is the total cost, in dollars, of admission?
Answer:
cost for adults=$8.29
cost for children=$6.47
cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46
Drag each tile to the correct box.
Arrange the numbers as they appear from left to right on a horizontal number line.
-2.5
-2.57
-1.85
2.5
-2.76
-1.58
2.85
I
Answer:
-2.76
-2.57
-2.5
-1.85
-1.58
2.5
2.85
Hopefully this is what you mean. Have a nice day!
Step-by-step explanation:
Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!
Answer:
Solution given:
19
<JKL=<KLS
20
FD=GD
9514 1404 393
Answer:
19) ∠JKL ≅ ∠SLK
20) FD ≅ GD
Step-by-step explanation:
It works well to identify the locations of the letters in the congruence statement, then use the letters in the same order from the other part of the congruence statement.
19) Letters JKL have the order 312 in the first part of the congruence statement ΔKLJ ≅ ....
The last part of the congruence statement is ... ≅ ΔLKS. The letters in order 312 from that part are SLK, so we want our angle congruence to read ...
∠JKL ≅ ∠SLK
__
20) The letters we're given (FD) are in positions 31 of the first part of the triangle congruence statement. The letters in those positions in the second part are GD, so our segment congruence is ...
FD ≅ GD
The area of a square rug is 64 ft.² what is the perimeter of the rug?
Answer:
[tex]32[/tex][tex] {ft}^{2} [/tex]
Step-by-step explanation:
The area of a square rug = 64 ft²
First we will find the side of square rug = [tex] {64}^{2} = {s}^{2} [/tex]
[tex] {s}^{2} = 8 [/tex]
Perimeter of the rug = [tex]4 \times 8 [/tex][tex] = 32[/tex]ft²
Hope it is helpful...How many 1/6 cup serving of rice and in 2/3 cup of rice
Answer:
4 serving cups
Step-by-step explanation:
Given
[tex]Serving\ cup = \frac{1}{6}[/tex]
[tex]Rice\ cup = \frac{2}{3}[/tex]
Required
The number of serving cup (n)
This is calculated by dividing the rice cup by the serving cup
[tex]n = \frac{Rice\ cup}{Serving\ cup}[/tex]
[tex]n = \frac{2/3}{1/6}[/tex]
Rewrite as:
[tex]n = \frac{2}{3} \div \frac{1}{6}[/tex]
Change to multiplication
[tex]n = \frac{2}{3} * \frac{6}{1}[/tex]
[tex]n = \frac{12}{3}[/tex]
[tex]n=4[/tex]
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Which number is irrational?
A. [tex]\frac{\pi }{6}[/tex]
B. 8.1
C. Recurring decimal 11.9
D. [tex]\sqrt{36}[/tex]
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answer:
80
Step-by-step explanation:
djdjdjdjdjdjkkkdkjrr
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity]
Σ 8/n^2-1
n=3
Answer:
The sum converges at: [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{n^2 - 1}[/tex]
Express the denominator as difference of two squares
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{(n - 1)(n+1)}[/tex]
Express 8 as 4 * 2
[tex]\sum\limits^{\infty}_{n =2} \frac{4 * 2}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{2}{(n - 1)(n+1)}[/tex]
Express 2 as 1 + 1 + 0
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+0}{(n - 1)(n+1)}[/tex]
Express 0 as n - n
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+n - n}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)-(n - 1)}{(n - 1)(n+1)}[/tex]
Split
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)}{(n - 1)(n+1)}-\frac{(n - 1)}{(n - 1)(n+1)}[/tex]
Cancel out like terms
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{6})][/tex]
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{6})][/tex]
Add [tex]a_7[/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{7 - 1} - \frac{1}{7+1})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{8})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{8})][/tex]
Notice that the pattern follows:
[tex]a_3 + a_5 + a_7 + ...... + a_{k}= 4[(\frac{1}{2} - \frac{1}{k+1})][/tex]
The above represent the odd sums (say S1)
For the even sums, we have:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{7})][/tex]
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{7})][/tex]
Add [tex]a_8[/tex] to both sides
[tex]a_4 + a_6 +a_8 = 4[(\frac{1}{3} - \frac{1}{7}) + \frac{1}{7} - \frac{1}{9}][/tex]
[tex]a_4 + a_6 +a_8 = 4[\frac{1}{3} - \frac{1}{9}][/tex]
Notice that the pattern follows:
[tex]a_4 + a_6 + a_8 + ...... + a_{k}= 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
The above represent the even sums (say S2)
The total sum (S) is:
[tex]S = S_1 + S_2[/tex]
[tex]S =4[(\frac{1}{2} - \frac{1}{k+1})] + 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
Remove all k terms
[tex]S =4[(\frac{1}{2}] + 4[(\frac{1}{3}][/tex]
Open bracket
[tex]S =\frac{4}{2} + \frac{4}{3}[/tex]
[tex]S =\frac{12 + 8}{6}[/tex]
[tex]S =\frac{20}{6}[/tex]
[tex]S =\frac{10}{3}[/tex]
The sum converges at: [tex]\frac{10}{3}[/tex]
Which expression is equivalent to 1/2x + 8
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
For each sequence, find the first 4 terms and the 10th term.
a) 12-n
B 5 - 2n
Answer:
Solution given:
a.
tn=12-n
1 st term =12-1=11
2nd term =12-2=10
3rd term=12-3=9
4th term=12-4=8
10th term=12-10=2
b.
tn=5-2n
1st term=5-2*1=3
2nd term=5-2*2=1
3rd term=5-2*3=-1
4th term=5-2*4=-3
10th term=5-2*10=-15
(a) Solution
T(n) = 12 - n
T(1) = 12 - 1 = 11
T(2) = 12 - 2 = 10
T(3) = 12 - 3 = 9
T(4) = 12 - 4 = 8
T(10) = 12 - 10 = 2
(b) Solution
T(n) = 5 - 2n
T(1) = 5 - 2 = 3
T(2) = 5 - 4 = 1
T(3) = 5 - 6 = -1
T(4) = 5 - 8 = -3
T(10) = 5 - 20 = -15
Anyone know??? PLEASE HELP ME
Answer:
C
Step-by-step explanation:
Try it.
Answer:Its B or C
Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.
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
please help! (listing BRAINLIST and giving points) :)
Answer:
sin∅ = 12/13
Step-by-step explanation:
use pythagorean theorem to find the missing side
a² + 5² = 13²
a² = 13² - 5²
a² = 169 - 25
a² = 144
a = 12
-----------------------------
Sin∅ = opp/hyp
sin∅ = 12/13
Roman numeral for 67
Answer:
LXVII
Step-by-step explanation:
The roman numeral for 67 is LXVII
LX represents 60 and VII represents 7
Easy question please help
Answer:
[tex]y = 3x - 2[/tex]
Step-by-step explanation:
Required
The equation of the above linear function
From the table, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{4 -1}{2 -1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m =3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - 1) + 1[/tex]
[tex]y = 3x - 3 + 1[/tex]
[tex]y = 3x - 2[/tex]
Let P(x, y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and x = − 5⁄8 , evaluate the six trigonometric functions of θ.
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
In this question, we assume that x-component of the terminal point is part of a unit circle. Then, we can find the value of y by means of the Pythagorean theorem:
[tex]y = \sqrt{1-x^{2}}[/tex] (1)
If we know that [tex]x = -\frac{5}{8}[/tex] and P is in the second quadrant, then the value of y is:
[tex]y = + \sqrt{1-\left(-\frac{5}{8} \right)^{2}}[/tex]
[tex]y \approx 0.781[/tex]
By trigonometry, we remember the following definitions for the six basic trigonometric functions:
[tex]\sin \theta = \frac{y}{1}[/tex] (1)
[tex]\cos \theta = \frac{x}{1}[/tex] (2)
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan\theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta }[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that [tex]x = -\frac{5}{8}[/tex] and [tex]y \approx 0.781[/tex], then the six basic trigonometric functions are, respectively:
[tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex]
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
We kindly invite you to check this question related to trigonometric functions: https://brainly.com/question/6904750
How do you find the square root of 11? I need to show work
Answer:3.31662479036.
Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.
Solve the problem 35×2/7=
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
7000 litres of water is pumped out if a tank in 42 minutes.how many litres could be pumped out in one hour
Answer:
10000 litres
Step-by-step explanation:
using proportion
if 7000 litres equals 42 minutes
then, x litres equals 60 minutes
x = (60×7000)÷ 42
x = 10000 litres
a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]
What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 17 centimeters, and a length of 11 centimeters?
Answer:
3179cm^3
Step-by-step explanation:
[tex]volum = height × width × length \\ = 17cm \times 17cm \times 11cm \\ = {3179cm}^{3} [/tex]
A cable network offers members a Basic plan for $7.26 per month. For $3.00 more per month, the cable network offers a Standard plan, which includes HD movies. During one week, 310 new subscribers paid a total of $2580.60 for their plans. How many Basic plans and how many Standard plans were purchased?
___Basic plans and ___ Standard plans were purchased
Answer:
110 basic plans and 200 standard plans were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of basic plans.
y is the number of standard plans.
310 new subscribers
This means that [tex]x + y = 310[/tex], and so, [tex]y = 310 - x[/tex]
A cable network offers members a Basic plan for $7.26 per month. For $3.00 more per month. Total paid of $2580.60.
This means that:
[tex]7.26x + 10.26y = 2580.6[/tex]
Since [tex]y = 310 - x[/tex]
[tex]7.26x + 10.26(310 - x) = 2580.6[/tex]
[tex]7.26x + 3180.6 - 10.26x = 2850.6[/tex]
[tex]3x = 330[/tex]
[tex]x = \frac{330}{3}[/tex]
[tex]x = 110[/tex]
Then
[tex]y = 310 - x = 310 - 110 = 200[/tex]
110 basic plans and 200 standard plans were purchased.
