The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex]population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex] = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
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203, 199, 195, ...
Find the 35th term.
Answer:
67
Step-by-step explanation:
203-199=4
199-195=4
☆decreases by 4
there are 34 spaces
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35
203-4 (34)
203-136
=67
35th term of the arithmetic sequence 203, 199, 195,...... is 67.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given arithmetic sequence is,
203, 199, 195,......
In the sequence, the first time a = 203,
And common difference of the sequence d = -4
Formula for nth term of the sequence,
aₙ = a + (n-1) . d
To find 35th term of the sequence, substitute n= 35,
a₃₅ = 203 + (35-1).(-4)
= 203 + 34x-4
= 203 - 136
= 67
The 35th term of the given sequence is 67.
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#SPJ2
-5(2x - 3) = 15 what is this
Answer:
x = 0
Divide both sides by the numeric factor on the left side, then solve.
Answer:
x=0
Step-by-step explanation:
1. Solve
-5(2x-3)=15
-10x+15=15
-10x+15-15=15-15
-10x=0
-10x/-10=0/-10
x=0
2. Check
-5(2x0-3)=15
-5(0-3)=15
-5x-3=15
15=15
3. Answer
x=0
The ratio of daisies to roses is 14 daisies to 16 roses.
If there are 8 roses, how many daisies are there?
Answer:There are 7 daises
Step-by-step explanation: half of 16 roses is 8 and half of 14 daises is 7. given the ratios from roses to daises is 8:7
Answer:
10 daisies
Step-by-step explanation:
Can anyone help me calculate the average rate of change of f(x)?
Answer:
Step-by-step explanation:
Given the rhombus ABCD, what is ECB
A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A
random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of
the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met,
what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?
0.24 +1.96
0.24(1-0.24)
200
O 0.7601.964
0.76(1 -0.76)
200
O 0.24 +1.657
0.24(1-0.24)
50
O 0.76 +1.95
0.76(1-0.76)
50
Answer: C
Step-by-step explanation:
Given:
Sample size (n) = 50
x = 12
[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]
Confidence level = 90%
α = 1 − 0.90 = 0.10
α/2 = 0.05
[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]
(from standard normal table)
90% Confidence interval is,
[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]
Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C
I NEED THIS FAST a sample of an unknown liquid has a volume of 30.0 mL and a mass of 6 g. whats the density ? show your work and exaplain how you determined this value i will give you 20 branilest
Answer:
The density is 0.2g/mL^2.
Step-by-step explanation:
Use the formula: D=[tex]\frac{m}{V}[/tex] (where v=volume, and m=mass). The mass of the liquid is 6g. The volume of the liquid is 30mL.To determine density, insert the values into the formula ([tex]D=\frac{6g}{30mL}[/tex]).Divide: 6g/30mL= 0.2g/mL^2help me please if you know it
of 34 cars in a parking lot 20 are green 8 are gold and the rest are black what are the odds against the next car leaving the lot being black
Answer:
3/17=.18
Step-by-step explanation:
There is a .18 or 3/17 chance that a car leaving will be black.
60 x 4 sqaure is what
Answer: 60 times 4 = 240 or 60 time 4 square is 960
Step-by-step explanation:
what if the ice caps were melting even more rapidly and san francisco was losing about 2% of its land area per year as land and streets went under water. the city is only about 49 square miles in area
The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ
What is an exponential function?
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let y represent the land area of San Francisco after x years. Hence:
The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98
The equation becomes y = 49(0.98)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Regina created a playlist on her cell
phone. The playlist includes 3 pop songs, hip-hop songs, and 1 blues song. Regina will randomly choose 2 songs, without repeating a song, to play through her new earbuds. What is the probability that Regina will choose a pop song first and a hip-hop song second?
Answer: a 5/24
Step-by-step explanation:
3 + 5 + 1 = 9
First = Pop Song P = 3/9 = 1/3
Seconed = Hip Hop Song P2 = 5/9-1 = 5/8
So P = 1/3 x 5/8 = 5/24
So that makes A the correct answer
PLEASE HELP!!!!!! Giving Brainliest really hard!
Answer:
x = 71
Step-by-step explanation:
The horizontal lines are parallel, right?
So that means the degrees shown are complimentary angles(they add up to 180 degrees, a straight line)
so that means the algebraic equation is 109 + x = 180
x = 180-109
x = 71
Hope this helps. Mark brainliest if best., if not, hope it helps anyway.
Find the value of 9u-2 given that -7u-7=7 ?
Answer:
-20
Step-by-step explanation:
when you solve: -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?
then you get -20
Hey there!
-7u - 7 = 7
ADD 7 to BOTH SIDES
-7u - 7 + 7 = 7 + 7
CANCEL out: -7 + 7 because it give you 0
KEEPs 7 + 7 because it help solve for the u-value
NEW EQUATION: -7u = 7 + 7
SIMPLIFY IT!
-7u = 14
DIVIDE -7 to BOTH SIDES
-7u/-7 = 14/-7
CANCEL out: -7/-7 because it give you 0
KEEP: 14/-7 because it give you the
u-value
NEW EQUATION: u = 14/-7
SIMPLIFY IT!
u = -2
SOLVING FOR : 9u - 2
9u - 2
= 9(-2) - 2
= -18 - 2
= -20
Therefore, your answer is: -20
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
50 POINTS - GEOMETRIC PROOFS (TvT) - will give brainly
(in the image) What would the empty space for 8. be? (i was thinking symmetric or reflexive but i don't know :c ) Also, are the ones filled out in pencil correct?
thanks for your time :D
Step-by-step explanation:
<ADC is 90
in triangle ACD
<CAD + ACD + ADC = 180
<CAD + ACD + 90 = 180
<CAD + ACD = 90
hence CAD AND ACD MAKES complementary angle(90)
Angle sum property
<ADC is 90°
As
Sum of angles in triangle is 180°
<CAD+<ACD=180-90=90°Hence they are complementary
if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person
Answer: 11.4%
Step-by-step explanation:
100% of your life is 57 years
?% will be 6.5 years?
this is a simple ratio problem:
57 --> 100%
6.5 ---> (6.5 x 100)/57 ≅ 11.4%
You have known the person for about 11.4% of your life.
Vbb. Pls help 50 points
Answer:
6468 mm²
Step-by-step explanation:
Given:
21 mm = length of the shortest of the small rectangleLet y = length of the longest of the small rectangleTherefore, the area of the small rectangle is:
= width × length
= 21 × y
= 21y mm²
From inspection of the larger rectangle
longest side length = 4 × 21 = 84 mmshortest side length = (2y + 21) mmTherefore, the area of the larger rectangle is:
= width × length
= 84(2y + 21)
= 168y + 1764 mm²
We know that the area of the larger rectangle is 11 times the area of the smaller rectangle. Therefore,
⇒ 11 small rectangles = larger rectangle
⇒ 11(21y) = 168y + 1764
⇒ 231y = 168y + 1764
⇒ 63y = 1764
⇒ y = 28
Therefore, the missing side length of the smaller rectangle is 28 mm.
Finally, to find the area of the larger rectangle, substitute the found value of y into the found expression for its area:
⇒ area = 168y + 1764
⇒ area = 168(28) + 1764
⇒ area = 4704 + 1764
⇒ area = 6468 mm²
A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
If x+2y=13 find the value of y when x is
Answer:
x is what????
Step-by-step explanation:
Please help I will give brainliest.
Answer:
ο Neither is correct.
Step-by-step explanation:
1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;
2) according to the rule above the equation of the given graph is:
y=(x-5)²-7;
3) finally, 'neither is correct'
Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))? vertical stretch of 0.35, horizontal stretch to a period of 16 pi, phase shift of startfraction pi over 4 endfraction units to the right vertical compression of 0.35, horizontal compression to a period of 4 pi, phase shift of startfraction pi over 4 endfraction units to the left vertical compression of 0.35, horizontal compression to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right vertical stretch of 0.35, horizontal stretch to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right
The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to rightHow does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]
We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8
Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to rightLearn more about transformation of functions here:
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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right
Step-by-step explanation:
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 1.1 cm. The chocolate used in the bon-bons has a density of 1.28 g/cm^3 3 . If the chocolate used costs $0.03 per gram, how much would the chocolate for 190 bon-bons cost, to the nearest cent?
The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.
What does multiplication mean?Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.
What is the total cost of 190 bon-bon?Total cost = cost per gram x mass x number of bon bon
Mass = density x volume
1.28 x (4/3 x 3.14 x 1.1³) =5.35
Cost = 5.35 x 0.03 x 190 = $30.49
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A spinner is divided into 4 sections using the latters A, B, C, and D. After 50 trials, the spinner landed on A 14 times, on B 13 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D? (Enter your answer in fraction form)
Answer:
17/25
Step-by-step explanation:
P(not red)=Number of Skittles Not Red/Total Number of Skittles
Which ordered pair is a solution to the system of inequalities {y <3x-1
y>|x-2|
Answer:
(4, 4)
Explanation:
I have solved it using graph.(4, 4) is the only point which lies inside both of the inequalities.
HELP PLEASE!!!!
Mr. Smith earns $75 a day plus $35 for each car he sells. Ife is the amount he earned and is the number of cars he sold, which expression below shows how much Mr. Smith will earn in a day?
Ooor 76
O35675
On 350
Answer:
should be 110
Step-by-step explanation:
hope that helps!
Help in this question if you are able to .solve it
This question is asking for the y-intercept. The y-int is when x = 0.
First, plug in x as 0...
y = 3(0) + 5
y = 0 + 5
y = 5
Lines come in the form y = mx + b
m is slope, b is the y-intercept
The diameter of a circle is 30 ft. Find its area to the nearest whole number.
Answer:
[tex]\displaystyle 707\:ft.^2[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]
I am joyous to assist you at any time.
Maddi wants to build a basket with a length of 2 feet, a width of
1 feet, and a depth of 2 feet. What will the volume of her basket
be, in cubic feet?
4 ft³
volume of rectangle = length x width x height
given:
length: 2 feetwidth: 1 feetdepth: 2 feetvolume of basket:
l * w * d
2 * 1 * 2
4 ft³
Answer:
4 ft³
Step-by-step explanation:
Volume of a square prism
volume = l × w × d
(where l is the length, w is the width and d is the depth)
Given:
length = 2 ftwidth = 1 ftdepth = 2 ft⇒ volume = 2 × 1 × 2
= 4 ft³
4x+y=2 solve for y algebra 2
Answer:
Step-by-step explanation:
4x + y = 2
y = -4x + 2
How can I solve the equation?
Answer:
r = 15
The radius of the sphere is 15 feet.
Step-by-step explanation:
see image.
Use the formula for the volume of a sphere:
V = 4/3 • pi • r^3
Fill in the 4500pi that is given for the V.
4500pi = 4/3 • pi•r^3
Then solve for r.
see image.
Multiply by 3/4 to get rid of the 4/3.
Divide both sides by pi.
Then cube root to get rid of the third power on the r.
see image.
Don't forget units.
r = 15 feet
Hope this helps! Pls mark Brainliest! tysm!