Answer:
Step-by-step explanation:
Based on the number of hours that are there it look like each hour that it goes 50 adds on
1. The time goes up one hour each time
2. The number of pages go up by 50
So if there are 4 hours then this would happen
1 2 3 4
50+50= 100+50= 150+50= 200
50 adds on as the hour goes up.
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
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
Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.
Answer:
Step-by-step explanation:
look at the png
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
Sady has $545, she want to buy a boyfriend he cost $1000 on Ebay how mush does she nee to buy him?
Answer:
Sady needs $455 more dollars
Step-by-step explanation:
1,000-545=455
Find the slope from the table:
Answer: m=-5/3
Step-by-step explanation:
What is the Reciprocal of 5/12
Answer:
12/5 just flip the numbers :D
Step-by-step explanation:
I will mark. so please I WANT AN A+!!!!!
Answer:
-4.5, -3 1/2, -3, -2.5, 4 1/2
Step-by-step explanation:
the higher the numbers as a negative, the smaller they are! :)
Answer:
from least to greatest
Step-by-step explanation:
1. -4.5
2.-3 1/2
3. -3
4.-2.5
5. 4 1/2
HAVE A NICE DAY HOPE U GET A A+
What is the slope of this line?
−3
3/4
4
−3/4
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
whats 9x8 greer I forgot
Answer:
72
Step-by-step explanation:
You can use the 9s trick
Answer:
9x8=72
Step-by-step explanation:
9x5=45 5
9x3=27 +3=9
27+45=72
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)
A).(-4,10)
B). (-1,5)
C).(2,-3)
D).(4,8)
E).(6,-9)
Answer:
B D
Step-by-step explanation:
h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
The line passing through the points (-2, 10) and (5, -11)
y-intercept = (0, 4)
x-intercept = (3/4, 0)
Step-by-step explanation:1 - Find the slope
[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]
2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.
y = mx + b
y = -3x + b
10 = (-3)(-2) + b
10 = 6 + b
-6 -6
4 = b
y-intercept = (0, 4)
3 - Rewrite the completed formula
y = -3x + 4
4 - Substitute 0 in for y to find the x-intercept
0 = -3x + 4
-4 - 4
-4 = -3x
-4/-3 = -3x/-3
4/3 = x
x-intercept = (4/3, 0)
If A= 1, Be= 7, then ADD=?
Answer:
D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D
5 divided by 4= 25 divided by x
wHAT IS X
Answer:
x=20
Step-by-step explanation:
so 5/4 is 1.25
so 25/x=1.25
so to find x we do 25/1.25
when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right
Answer:
yeet
Step-by-step explanation:
please an someone help me 5(−3.4k−7)+(3k+21)
Answer:
4
Step-by-step explanation:
Answer:
4.5k
Step-by-step explanation:
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
how to divide 2432.5 by ten
Answer: 243.25.
Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.
If you like skittles then you like candy True or false
Answer:
trueeeeeeeeeeeeeeeee
PLSS ANSWER FAST
Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only $1.50.
a.) If that same dinner that Barnaby’s grandfather purchased for $1.50 sixty years ago now costs $25.25 , and the price has increased exponentially, write an equation that will give you the costs at different times.
b.)How much would you expect the same dinner to cost in 60 years?
An equation that will give you the costs at different times is y = [tex]1.048^{t}[/tex].
The price of the dinner in 60 years will be $425.04.
What is the equation that represents the cost of the dinner?An exponential function is usually in the form: [tex]ab^{x}[/tex].
Where:
a = initial value b = rate of growth x = number of yearsRate of increase = (cost of the meal now / cost of the meal 60 years ago)^(1 / number of years)
(25.25 / $1.50) ^(1/60) = 4.8%
y = [tex]1.048^{t}[/tex].
What will be the cost of the meal in 60 years?25.25 x 1.048^60 = $425.04
To learn more about exponential functions, please check: https://brainly.com/question/26331578
#SPJ2
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
What are the 4 lowest numbers to average 80 percent . (Lowest possible and one of the numbers has to be 60)
Answer:
5,5,10, and 60
Step-by-step explanation:
Find the remaining numbers
80-60= 20
10 + 10 = 20
Break it up to get 4 numbers total
5 + 5 + 10 = 20
20 + 60 = 80
1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.
Answer:
$24147.50Step-by-step explanation:
Step one:
given
principal=$7420
rate = 5.9%= 0.059
time = 20years
Step two:
Required
Final amount V
using the relation
[tex]V = Pe^{rt}[/tex]
Substituting we have
[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]
To the nearest cent
= $24147.50
The amount of money in the account after 20 years is $24147.50
What is X-y=-1 written in y=mx+b form?
Answer:
y = x + 1
Step-by-step explanation:
9. Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Hyattsville Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch?*
Answer: Around 1000 students would buy a schoo lunch.
Step-by-step explanation:
We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.
In total we have 20 + 14 = 34 students, this will be our 100%.
The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.
p1 = (14/34)*100% = 41.18%
And the percentage of students that buy lunch at school can be computed in the same way:
p2= (20/34)*100% = 58.82%
Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.
Then the exact number will be:
N = (58.82%/100%)*1700 = 1000
Around 1000 students would buy a schoo lunch.
Help!!! Quiz!! I think that the answer is A and B, but I’m not sure.
13 POINT!!!
Will mark brainliest for correct answer!!!
6x2 + 5x - 4 = 0
A. x= 1/2
B. x= -3/4
C. x= 1/3
D. x= 4
E. x= -2
F. x = -1/3
Answer:
E
Step-by-step explanation:
Hope this helped ;) Have a good day! :D