Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
For more information, refer the link given below
https://brainly.com/question/20165896?referrer=searchResults
6 1/7 as an improper fraction
If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
A fraction x/y has two terms x is called a numerator and y is the denominator.
An improper fraction is a fraction when x ≥ y.
Therefore, 6 1/7 = 6 + 1/7
⇒ (42 + 1)/7 = 43/7
Since 43 > 7 so it will be an improper fraction.
Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?
Answer:
34,567-22,999=11,568
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue car: 30.8 miles per galon
Red car: 27 miles per galon
Blue car can travel longer distances on one galon!
Step-by-step explanation:
Blue car:
38 1/2=77/2=38.5 miles
1 1/4=5/4=1.25 gasoline
38.5/1.25=30.8miles per galon
Red car:
21 3/5=108/5=21.6 miles
4/5=0.8 gasoline
21.6/0.8=27 miles per galon
2(x+y) = 5
How would I solve for x ?
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
Check my answers plz <3\
Answer:
all three are correct
Step-by-step explanation:
Upload the worksheet with your constructions below.
Answer:
I attached a pic of my work, its 100% correct.
Its a bit messy....
HELP ASAP. ‼️‼️‼️‼️‼️
Answer:
Nice Shoes..
Step-by-step explanation:
The answer is 16 to the 4th power for #1 89c for #2 and 29f for the third
How many times does 2/3 go into 7 1/3
Answer:
11
Step-by-step explanation:
7 1/3 ÷ 2/3 = 11
(please give brainliest)
Answer: 1/11
Explanation:
KCF
(keep, change, flip)
PLEASE HELP 4. The Buff City Soaps in Arlington is counting how many soaps and bath bombs they sell in a given day. In total, they sold 33 bath products. The number of soaps they sold was one more than three times the number of bath bombs. WRITE THE SYSTEM OF EQUATIONS.
Answer:
33 = x + (3x + 1)
x = bath bombs
So 3x is three times as many bath bombs, then the plus one makes it so that the soaps sold is more than three times the amount of bath bombs sold
Please help! What is the slope of the line graphed on the coordinate plane?
Answer:
The slope is 3/4
Step-by-step explanation:
You can Y2-Y1/X2-X1 to find the answer to this question
Since the points are (-2,3) and (2,6) it will be..
6-3/2+2 ** the 2 becomes a plus in the denominator because negative and negative is positive
3/4 is the slope
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?
Bakugou here:
Answer:
The tide raises both the water and the boat so the water will never reach the fifth rung.
Step-by-step explanation:
Brainlyest??!!
PLEASE HELP! Will give brailiest to the best answer!!!
What was a contributing factor to the growth of ranching during the Republic of Texas era?
F. the wild cattle left from Spanish herds
H. the increase in the number of slaves in Texas
G. the growth of railroads
J. the introduction of barbed wire
Answer:
H. the increase in the number of slaves in Texas
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
How do I find x in this triangle?
Answer:
B=5
Step-by-step explanation:
a2+b2=c2
12squared+b2=13squared
144+b2=169 Subtract by 144 on both sides
b2=25 Find square root of 25
b=5
Please help!!!!!!!!!!!!!!!!
Answer:
I don't know much about linear regression, but I would say the answer is 15.25. The x-value number closest to 75 is 77, and the corresponding y value is 16.5. Since there is a big difference between the other answers and 16.5, you can estimate and conclude that 15.25 is probably the answer. Sorry if this doesn't help much since I wasn't able to explain the correct way they asked you to do the problem. :/
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
-4 2/3 times (-1 1/2)
SHOW YOUR WORK TO GET BRAINLIEST~~~~!!~
Answer:
-4 2/3 times (-1 1/2)
Step-by-step explanation:
14.6 repeatingAsappppp , pls help me :((
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
height= 7.5 m
radius = 14m
Find the volume
It’s a cylinder btw
I need you guys to answer all of this sorry please help me before 11:59 I beg
m<1
m<2
m<3
m<5
m<6
m<7
m<8
Here are the choices you have for each one (choose one)
106
74
74
Answer:
M<1 = 106
M<2 = 74
M<3 = 106
M<4 = 74
M<5 = 106
M<6 = 74
M<7 = 106
M<8 = 74
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
okaaaay. this is 10 units to the y axis...
Step-by-step explanation:
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
Can anyone give me the answer?
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.
Boat travel 27 miles in two hours how many miles travel in 1/2 hours
Answer:
6.75
Step-by-step explanation:
❗️Help needed please ❗️
Answer:
prove it by S.S.S axiom bro
Step-by-step explanation:
statement reason
1.in triangle ADB and ADC
a. AB=AC a.given
b.BD=CD b. radii of same circle
c. AD=AD c. common side
2. ∵triangle ADB is congurent to 2. by S.S.S axiom
ADC
Answer:
AD cuts BC at I => I is the midpoint of BC => BI = CI
ΔAIB and ΔAIC have:
AB = AC
BI = CI
m∠ABC = m∠ACB ( because ΔABC is a isosceles triangle)
=> ΔAIB ≅ ΔAIC (sas)
=> m∠BAD = m∠CAD
ΔADB and ΔADC have:
m∠BAD = m∠CAD
AB = AC
AD is the common edge
=> ΔADB ≅ ΔADC (sas)
Step-by-step explanation:
How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors
Answer:
4 (2 + 9)
Step-by-step explanation:
Given expression:
8 + 36
The greatest common factor is the highest number that divides a number:
8 and 36 ;
Factors of 8 : 1,2,4, 8
36 : 1, 2, 3, 4, 9, 18, 36
The highest common factor is 4;
8 + 36 = 4 (2 + 9)
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
c and e are expressions.
b is an equation.
a and d are inequalities.
Expressions are the only ones WITHOUT an 'equals', 'greater', or 'less than'.
( = , > ,. < )
Matt runs in the park every day at the average rate of c meters per minute.
b:
If Matt runs triple his regular speed for 20 minutes, what distance would he cover?
Answer: 60c
Step-by-step explanation: 3c times 20. This is the right answer I hope it helps <3
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
