Answer:
H0 : μ1 = μ2
H0 : μ1 < μ2
Step-by-step explanation:
Given :
Early studiers, group 1, mean μ1
Late studiers, group 2 ; mean, μ2
To test the claim that students who study earlier have an average score that is less than the average score for students
The null hypothesis ; there is no difference in average score
H0 : μ1 = μ2
Alternative hypothesis is early studiers means is less than average score of late studiers
H0 : μ1 < μ2
Open with Angles p and q are complementary, p is four times the size of q. What is the size of q ?
Answer:
p = 72
q = 18
Step-by-step explanation:
Complementary means they add to 90o
p + q = 90
p = 4*q
Substitute 4q for p
4q + q = 90 Combine
5q = 90 Divide by 5
5q/5 =90/5
q = 18
p = 4q
p = 4*18
p = 72
A 15-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours since the candle was lit, and uppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f f(t)- [Preview] syntax error #
b. What is the domain of f relative to this contex? Enter your answer as an interval. # Preview, no answer given
c. What is the range of f relative to this context? Enter your answer as an interval *Preview no answer given
d. Solve f(t) 3.6 for it. 算 Preview
e. What does your solution in part (d) represent in this context? Select all that apply. The length of the candle (in inches) 3.6 hours after it was lit. How many bhous since the candle was lir wen i is36 mches loe OHow long it takes for the candle to burn out.
Answer:
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 \le t \le 12.5[/tex]
[tex]15 \ge f(t)t \ge 0[/tex]
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- candle length
[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
[tex]f(t) = a + rt[/tex]
So, we have:
[tex]f(t) = 15 + -1.2 * t[/tex]
[tex]f(t) = 15 -1.2t[/tex]
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 = 15 - 1.2t[/tex]
Collect like terms.
[tex]1.2t = 15[/tex]
Solve for t
[tex]t = 15/1,2[/tex]
[tex]t = 12.5[/tex]
Hence, the domain is: [tex]0 \le t \le 12.5[/tex]
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]
Solving (d): [tex]f(t) = 3.6[/tex]
Recall that:[tex]f(t) = 15 -1.2t[/tex]
Sp, we have
[tex]15 - 1.2t - 3.6[/tex]
Collect like terms
[tex]12t =15 -3.6[/tex]
[tex]12t =11.4[/tex]
Divide by 12
[tex]t =0.95[/tex]
you can play one game for free. Which game has a higher expected value:
a. a 0% chance of winning $1,000
b. a 10% chance of winning $50
c. a 100% chance of winning $1
d. a 25% chance of winning $100
Question 4 of 25 There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the number of brooms to the number of mops? 3/5
Answer:the ratio of brooms to mops is 3:2
Step-by-step explanation:
6:4 can be simplified to 3:2
Answer:
6:4
Step-by-step explanation:
also can be simplified 3:2
A = {5, 6, 7, 8, 9, 10} and B = {2, 3, 4, 5, 11, 12, 13}. What is A∪B? What is A∩B?
Step-by-step explanation:
A U B= {2,3,4,5,6,7,8,9,10,11,12,13}
A n B= {5}
For extra fun, groups of student in a class are tasked to create algebraic expression to satisfy the measures of the angles of their triangular picture frame project. If the measure of the angles are as follows:m∠A = 5x - 3, m∠C = 2x + 5, m∠E = 3x - 2, arrange the sides of the frame in increasing order.
don't spam!!
Answer:
Step-by-step explanation:
Sum of all angles of the triangle = 180
∠A + ∠C + ∠E = 180
5x - 3 + 2x +5 + 3x -2 = 180
Combine like terms
5x + 2x + 3x - 3 + 5 - 2 = 180
10x + 0 = 180
10x = 180
Divide both sides by 10
x = 180/10
x = 18
∠A = 5x - 3 = 5*18 - 3 = 90 - 3 = 87
∠C = 2x +5 = 2*18 + 5 = 36 + 5 = 41
∠E = 3x - 2 = 3*18 - 2 = 54 - 2 = 52
Side opposite to smallest angle is small
∠C is smallest. So, AE is smallest side
Next smallest is ∠E. So, AC is the next side
AE < AC < CE
Disolvemos 45 g de amoniaco en 500 g de
agua. Calcula el porcentaje en masa de la
disolución
it would be photosynthesis because of the flowers
Solve each of the following equations by the trial and error method : A) X- 7= -3 help some one now
Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls out one coin at a time, what is the probability that the first 3 coins that are equal to $0.40?
Answer:
1/4
Step-by-step explanation:
Q=event of pulling a quarter (25 cents)
D=event of pulling a dime (10 cents)
N=event of pulling a nickel (5 cents)
P=event of pulling a penny (1 cent)
Simon needs to pull out the penny last, so that the first three coins add up to $0.40.
We assume the coins are wrapped so it is a random choice.
For the first coin, probability of NOT pulling a penny is 3/4,
similarly, for the second coin, probability of NOT pulling a penny is 2/3,
for the third coin, probability of NOT pulling a penny is 1/2,
For all this to happen, we use the multiplication rule
P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4
Please hurry I’ll give brainliest
1 N 3 4 5 6 7 00 9 10 The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in m 0.05 miles per hour 0.2 miles per hour 0.5 miles per hour O 2 miles per hour
Step-by-step explanation:
1 mile=5280 feet
0.5 mile=2640 feet.
The fastest that a seahorse can travel is 2,640 feet per hour. The top speed in miles per hour is 0.5 miles per hour.Can be also.
If the answer is correct plz mark me as brainliest.
Hurry plz I got 7 mins
Answer:
5
Step-by-step explanation:
90 ÷ 18 = 5 days. Hope this helps! :)
Answer:
15
Step-by-step explanation:
15=90/60=1.5 as whole is 15
The mean useful life of car batteries is 56 months. They have a standard deviation of 6. Assume the useful life of batteries is normally
distributed
a. Calculate the percent of batteries with a useful life of less than 38 months. (Round your answer to the nearest hundredth percent.)
b. Calculate the percent of batteries that will last longer than 68 months. (Round your answer to the nearest hundredth percent.)
a. Percent of batteries
%
b. Percent of batteries
%
Answer:a. 0.13% b. 2.28%
Step-by-step explanation:
Let x denotes the useful life of batteries.
Given: [tex]\mu=56[/tex] months, [tex]\sigma=6[/tex]
Since X is normally distributed.
The probability that batteries with a useful life of less than 38 months
[tex]P(X<38)=P(\frac{X-\mu}{\sigma}<\frac{38-56}{6})\\\\=P(Z<-3) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<3) \\\\=1- 0.9987\\\\=0.0013[/tex]
The percent of batteries with a useful life of less than 38 months =0.13%
The probability that batteries will last longer than 68 months
[tex]P(X>68)=P(\frac{X-\mu}{\sigma}>\frac{68-56}{6})\\\\=P(Z>2) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<2)\\\\=1-0.9772=0.0228[/tex]
The percent of batteries that will last longer than 68 months =2.28%
Plsssss ans plssss plssss
Answer:
a 3² +4² = 25 the factors are 5²
b 8²+6²= 100 the factors are 5²and 2²
c 12²+5²= 169 the factors are 13²
d 8²+15²= 289 the factors are 17²
the product of a number and five less than the number is 66 find the number
Answer:
the answer is 16.5 or when runner becomes 17.
Step-by-step explanation:
The product of a number and five
= the number is always replaced by a variable. and I used
[tex]x[/tex]
[tex]5 \times x[/tex]
less than the number is 66
=
[tex]5 \times x - x = 66[/tex]
[tex] = 5x - x = 66[/tex]
[tex]4x = 66[/tex]
you divide both sides by 4 since we want X to stand alone .
[tex] \frac{4x}{4} = \frac{66}{4} [/tex]
[tex]4 \: will \: cancel \: 4 \: and \: 66[/tex]
[tex]giving \: you \: 16.5 \: or \: when \: run \: becomes17[/tex]
if I choose two cards, one of the time, from a standard deck of cards, what’s my probability that I choose A red card, then without putting it back to a black card
Answer:
P(Red) = 26/52, P(Black) = 26/51
Step-by-step explanation:
There are 26 red cards and 26 black cards in a standard deck of 52 cards.
This means the probability of picking a red card from the deck is 26/52.
Now, since we are taking out the red card after drawing from the deck, we only have 51 cards. Therefore, the probability of picking a black card from the deck is 26/51.
Can someone please help, ty!!
Will mark brainliest!
The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.
82 + 55 + x = 180
137 + x = 180
x = 43 degrees
Hope this helps!! :)
Answer:
Step-by-step explanation:
55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)
137+missing angle=180
missing angle=180-137
missing angle=43 degree
therefore ur answer is 43 degree.
Which point is located on the x-axis of a coordinate grid?
A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (2, 1)
Answer:
I believe it is B
Step-by-step explanation:
Remember - x,y. The 1 was found on the x-axis.
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
Step-by-step explanation:
Work done by Kayla in 1 hour = 1/15
Work done by Jennifer in 1 hour = 1/16
Work done by both Kayla and Jennifer = [tex]\frac{1}{15}+\frac{1}{16}[/tex]
[tex]= \frac{1*16}{15*16}+\frac{1*15}{16*15}\\\\=\frac{16}{240}+\frac{15}{240}\\\\=\frac{31}{240}\\[/tex]
Hours taken by both = 240/31 = 7 23/31 hours
The mean salary at a local industrial plant is $26,500 with a standard deviation of $5000. The median salary is $27,200 and the 57th percentile is $30,400. Based on the given information, determine if the following statements are true or false.
a. Approximately 7% of the salaries are between $26,500 and $30,400.
b. The percentile rank of $25,400 is 50.
Answer:
a. False.
b. False.
Step-by-step explanation:
Statement a:
The median salary is $27,200 and the 57th percentile is $30,400.
Thus, 57-50 = 7% of the salaries are between $27,200 and $30,400, that is, not between $26,500 and $30,400, and thus, statement a is false.
b. The percentile rank of $25,400 is 50.
The median salary is $27,200, and thus, the percentile rank of $27,200 is 50, and the percentile rank of $25,400 is less than 50, and this statement is false.
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?
Answer:
9 and 16
Step-by-step explanation:
let the two numbers are X and Y
X+Y=24
X^2-Y^2=144
solve simultaneously
True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9?
Answer:
false and 8 hours and 55 min
Step-by-step explanation:
Answer:
false. 8.9 in the scenario would be 9 hours and 30 minutes
Step-by-step explanation:
using decimals is not an accurate way to measure time.
if it was used, 8.9 would be 8 hours and 90 minutes. However, there are only 60 minutes in an hour, so 8.9 would translate to 9 hours and 30 minutes.
lim (x->0) ((x^3 - 2x) ln(1+sinx))/ ln(cos 3x)
Answer:
qijejejsllaoajvrjaoaq
Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease that could be greatly affected by the influence of climate change. The scatterplot shows total precipitation (in mm) in select cities in West Africa on the x axis and the percent of people who tested positive for malaria in the select cities on the y axis in 2013. Precipitation is the __________ variable
Answer:
independent and explanatory
Step-by-step explanation:
In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.
Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.
Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.
Find the two square roots of 121 (write answer using the word “and” to separate them)
Answer:
11 and 11
Step-by-step explanation:
brainliest^:)
Answer:
11 i do not think there is a 2nd one unless 1
Step-by-step explanation:
The only one I could think of because It is the positive solution of the equation x to the 2nd power = 121. The number 121 is a perfect square. 1.
If A/B and C/D are rational expressions, then A/B ÷ C/D = (AC)/(B/D)
true or false
9514 1404 393
Answer:
False
Step-by-step explanation:
(A/B) ÷ (C/D) = (A/B) × (D/C) = AD/(BC) ≠ AC/(B/D)
Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player have?
Answer:
R= 1203 P= 1478
Step-by-step explanation:
2681- 275= 2406/2 = 1203+ 275= 1478
Explain and help please
Answer:
Step-by-step explanation:
The Bible uses this same value for pi. Just an irrelevant fact to add to your list of such facts.
pi is about 3
r = 3
C = 2 pi * r
C = 2 * 3 * 3
C = 18
Answer:
The circumference of circle is 18.
Step-by-step explanation:
Given :-
Radius of circle is 3.Value of π is also 3.To Find :-
Circumference of circleFormula Used :-
Circumference of circle = 2 π rWhere,
r, is the radius of circle.
Solution :-
Using Formula
Circumference of circle = 2 π r
substitute the values
Circumference of circle = 2 × 3 × 3
multiply the values
Circumference of circle = 18
Hence, the circumference of circle is 18.
Find the measure of angle 6 if the measure of angle 4 is 65 degrees
Answer:
Step-by-step explanation:
angle 4=angle 6(being alternate interior angle)
65 degree=angle 6
help me pleaseeeeeee
Answer:
C
Step-by-step explanation:
18 x 5.85 = 105.3
105.3 is closest to the estimate of $120