Answer:
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Step-by-step explanation:
The given data is
Sample1 mean = x1` = 289.3
Sample 1 size = n1= 10
Sample 1 std. dev= s1= 22.5
Sample2 mean = x2` = 321.5
Sample 2 size = n2= 16
Sample 2 std. dev= s2= 21
1)Formulate the null and alternate hypothesis as
H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂
2)The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
where degrees of freedom = d.f=
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
3) the significance level chosen is ∝= 0.05
4) Calculating the d.f
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]
= 18
5) the critical region for ∝= 0.05 for 18 d.f = ±2.101 for two sided test
6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 289.3- 321.5/√21²/10 + 22.5²/16
t= -32.2/√44.1+31.64
t= -32.2/8.0729
t= -3.9886
7) Conclusion
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
3^x = 9x. What is the value of x?
x = 3
[tex]3^{3} =[/tex] 3 x 3 x 3 = 27
9x = 9 x 3 = 27
Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.
Answer:
Normal distribution.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.
Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
Determine the missing factor in × 4.3 = 12.9
Answer: 3
Step-by-step explanation:
12.9/4.3 will give you the number it was multiplied by.
Benny went to 36 baseball games this year he went to 40 games last year how many baseball games did Benny go to in total
Answer:
76
Step-by-step explanation:
36+40=76
Hope this helps!!
Answer:
76 games in total
Step-by-step explanation:
Q:An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far does she throw the javelin in total?
18.5 yd
19 yd
19.5 yd
20 yd
Answer: 19 yd
Step-by-step explanation:
hope this helped. :)
Proving triangles similar
Answer: AA
Step-by-step explanation:
You can do vertical angles or alternate interior angles. Hope this helps :)
What is the area of the polygon below?
A. 120 square units
9
10
B. 174 square units
16
C. 66 square units
12
D. 84 square units
Answer:
D
Step-by-step explanation:
12-9 = 3 square unit
10 x 3 = 30 square unit
9×6 = 54 square unit
54+30 = 84 square units
and thats the answer
The area of the polygon is 84 square units, option D is correct.
What is Area of Rectangle?The area of Rectangle is length times of width.
The given polygon has two rectangles.
Area of rectangle with length 9 and width is 6 units
Area of rectangle 1 =9×6
=54 square inches
Now Area of rectangle with length 10 and width is 3 units
Area of rectangle 2 =10×3
=30 square inches
Total area = 54+30
=84 square units
Hence, the area of the polygon is 84 square units, option D is correct.
To learn more on Area click:
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CYU/LP 15-1&2 SIMILAR FIGURES
5 of 7 5 of 7 Items
What is the common ratio(scale factor) of side AD to side WZ?
4/8
4/6
15/6
5/2
Answer:
Option 4
Step-by-step explanation:
Both the quadrilaterals are similar,
ABCD ~ WXYZ
Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.
Scale factor = [tex]\frac{AD}{WZ}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
Therefore, option (4) will be the correct option.
427 × 1,000 jnjnnjnjnnjjjjjjjjjjjjjjjjjj
Answer:
427,000...
Step-by-step explanation:
just search it up. Anywayyysss cute copy and paste☏ ♡ ☆⋆◦★◦⋆°*•°
. * . . ° . ● ° .
¸ . ★ ° :. . • ° . * :. ☆
° :. ° .☆ . ● .° °★
★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *
¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆
☆ °☆ . * ● ¸ . ★¸ .
. * . . ° . ● ° .
° :. ° . ☆ . . • . ● .° °★ Not sure how to copy and paste? Just right click your mouse and choose copy in options, to release repeat the process and just paste it. No mouse? Select the text with your computer pad and use ctrl c to release, ctrl v. On mobile? Press on your screen and select the text, use the option copy and paste wherever you would like!
Solve for a.
2
9
х
36
Answer:
a=29×36
Step-by-step explanation:
just do 29×36 to get your answer
What is the value of x in the equation −x = 6 − 3x + 8? (1 point) Question 10 options: 1) −14 2) −7 3) 14 4) 7
The answer is 4) 7
x=7
Answer:
7
Step-by-step explanation:
x = 7
Sally drives from Turlock to Los Angeles at an
average speed of 60 miles per hour. Turlock is
approximately 300 miles from Los Angeles. Which
of the following graphs could give Sally’s
approximate distance d, in miles from Los Angeles,
in terms of time t, in hours? A, B, C, D, or E?
Answer:
A
Step-by-step explanation:
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Find the mean, median, mode, and the range. The picture is for number 12 to 15
1. 6, 9, 2, 4, 3, 6, 5
2. 453, 345, 543, 345, 534
3. 8, 2, 9, 4, 6, 8, 5
4. 1, 15, 9, 12, 18, 9, 5, 14, 7
5. 3, 9, 4, 3, 9, 4, 2, 3, 8
6. 157, 124, 157, 124, 157, 139
Use the picture above to answer the exercise 12 to 15
12. What is the mode?
13. What is the median?
14. What is the mean?
15. If the price of swimming lessons went up to six dollars would it change the
a. Mode?
B. Median?
C mean?
D. Range?
Answer:
1)
mean - 5
median - 5
mode - 6
range - 7
2)
mean - 444
median - 453
mode - 345
range - 198
3)
mean - 6
median - 6
mode - 8
range - 7
4)
mean - 10
median - 9
mode - 9
range - 17
5)
mean - 5
median - 4
mode - 3
range - 7
6)
mean - 143
median - 148
mode - 157
range - 33
12) 9
13) 10
14) 10, 5
15)
If the price of swimming lessons went up to mean and mode would change.
mean - 9.66666667 (9.6 repeating)
median - 10
mode - 10
range - 13
Which statement is true about the solution to ?
The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: correct
Step-by-step explanation: The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: There are no real number solutions to this equation.
Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
¿Cómo hallar la altitud del avión con respecto al suelo?
A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:
[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex] (1)
Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:
h = r₁ · sin 40° (2)
h = (451.589 m) · sin 40°
h ≈ 290.276 m
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
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Solve for x.
109= -x + 267
X=
x 5
?
Answer:
x=158
Step-by-step explanation:
109=-x+267
-267 -267
-158=-x
x=158
(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)
Help how do you simplify this????!!!
Answer:
3/5
Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
What is the quotient of m and 11
Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?
Answer:
$38.75
Step-by-step explanation:
$465/12=$38.75
There were 816 cars parked in the parking lot on Monday morning. At lunchtime 91 cars left the lot. After lunch, 135 cars came back to the parking lot. How many parking spots were left on Monday morning ?
Answer:
467
Step-by-step explanation:
There were a total 1327 parking lots.
Out of these 816 were taken in the morning, 91 cars left in the afternoon, while 135 came back after lunch.
So there are,
[tex]Cars left = 1327 - (816 - 91 + 135) \\\\ = 1327 - 860\\ = 467[/tex]
Thus, there are 467 parking spots left on Monday afternoon.
In a lottery game, three winning numbers are chosen uniformly at random from {1...100}, sampling without replacement. Lottery tickets cost $1 and allow a player to pick 3 numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3.
Required:
Find the distribution of net winnings for a random lottery ticket. Show that the expected value of the game is -70.8 cents.
Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd? OPTIONS:
F
He can use his credit card to buy the television now.
G
He can save money and pay cash for the television at a later date.
H
He can use his debit card to buy the television now.
J
He can save money and use his debit card to buy the television at a later date.
Answer:
The only option which is not available for Mr. Lloyd is to use his debit card to purchase the television now. The debit card can only be Used to make purchases when the account holder has funds or money in his or her account.
Step-by-step explanation:
Giving brainliest to someone who answers this :D plus points too
Answer:
13) 27 units³
14) 160 units³
15) 189 units³
Step-by-step explanation:
To find the volume of a rectangular prism, we need to multiply the length, width, and height of the figure together.
The dimensions of figure 13 are 9, 3, and 1
9 · 3 · 1 = 27
The volume of the figure is 27 units³.
-------------------------------------------------------------
The dimensions of figure 14 are 5, 8, and 4
5 · 8 · 4 = 160
The volume of the figure is 160 units³.
-------------------------------------------------------------
The dimensions of figure 15 are 3, 9, and 7
3 · 9 · 7 = 189
The volume of the figure is 189 units³.
-------------------------------------------------------------
I hope this helps ^^ Good luck :]
someone please help me answer this
Answer:
a = 6.7m is the answer.
Step-by-step explanation:
a = ?
b = 6m
c = 9m
According to the Pythagorean theorem,
a² + b² = c²
a² + 6² = 9²
a² + 36 = 81
a² = 81 - 36
a² = 45
a = 6.708
round to the nearest tenth,
a = 6.7m
∴ Janice is 6.7m high up in the air.
A store sells nine types of cell phones. There are four colors of each type.
How many different options does a customer have when buying a cell phone at the store? HELP
Answer:
36
Step-by-step explanation:
nine times 4 is 36 making it 36 options to choose from
hope this helps! :)
f(x) = 3x^2 - 7 4x^2 – 3 Find f(2)
Answer:
f=5/8x^2+-3/2Divide both sides by two
Step-by-step explanation:
Hope that helped