Step-by-step explanation:
2wks = 24 days
If he spent 60days going 127.8 miles
He will spend 14 days going X miles
60/14 =127.8/X cross multiply
60X= 14×127.8
X=( 14×127.8)÷60
X= 29.82 miles
The radioactive compound 14CO2 may be used as a tracer to study metabolism in plants. Suppose that a compound isolated from a plant exhibited 28, 32, 27, 39 and 40 counts of radioactive decays per minute. A blank sample used to measure the background counts of the radiation counter gave 28,21, 28 and 20 counts per minute. It appears that the isolated compound gives more counts than those from background. Can we be 95% confident that the compound is indeed radioactive?
Using the t-distribution, it is found that since the test statistic is more than the critical value for the right-tailed test, it can be conclude that the isolated compound gives more counts than those from background, and hence, we can be 95% confident that the compound is indeed radioactive.
At the null hypothesis, it is tested if isolated compounds do not give more counts than those from background, that is:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if the give more counts, that is:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
Using a calculator, the mean and the standard deviation for each sample are given by:
[tex]\mu_1 = 33.2, s_1 = 6.058[/tex]
[tex]\mu_2 = 24.25, s_2 = 4.35[/tex]
Considering the sample sizes of 5 and 4, respectively, the standard errors are given by:
[tex]s_1 = \frac{6.058}{\sqrt{5}} = 2.71[/tex]
[tex]s_2 = \frac{4.35}{\sqrt{4}} = 2.175[/tex]
For the distribution of differences, the mean and standard error are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 33.2 - 24.25 = 8.95[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.71^2 + 2.175^2} = 3.4749[/tex]
The standard error was found from the standard deviation for each sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.95 - 0}{3.4749}[/tex]
[tex]t = 2.58[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 5 + 4 - 2 = 7 df and a 0.05 significance level is of [tex]t^{\ast} = 1.895[/tex]
Since the test statistic is more than the critical value for the right-tailed test, it can be conclude that the isolated compound gives more counts than those from background, and hence, we can be 95% confident that the compound is indeed radioactive.
A similar problem is given at brainly.com/question/24826023
What is the value of (-2.8)+0+(-2.6)+6.4
Which pair of expressions are equivalent?
A
3x+2+2x and 7x
B
8(x−3) a
nd 8x−24
C
4(x+1) and 4x+1
D
3(5x) and 8x
Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle
C
Answer:
m∠C = 72°
Step-by-step explanation:
The sum of the angles in the triangle is 180°.
A +B +C = 180°
(2x +11)° +(3x -8)° +(4x -12)° = 180°
9x = 189 . . . . . . . . divide by °, add 9
x = 21 . . . . . . . . . divide by 9
Angle C is ...
(4x -12)° = (4(21) -12)° = 72° . . . . angle C
_____
Additional comment
Angle A is 53°; angle B is 55°.
Giving Brainilest! Tell whether the triangles are similar
Answer:
57 digress
I think 57 digress of both triangles are similar
Step-by-step explanation:
hope this helps I don't know Its I don't know Its correct answer please ask to some oneAnswer:
yes
Step-by-step explanation:
1. both are acute triangles
2. both have all the angles measuring less than 90°
3.first triangle x measures 50 degrees and y measure 80 degrees respectively.
pls give brainliest
need help solving this
Answer:
x = (√21)/2
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.
x = (√3)/2·√7
[tex]\boxed{x=\dfrac{\sqrt{21}}{2}}[/tex]
if 5a+b=14 then a = what
explain how you got it pls
Answer:
[tex]a = \frac{14 - b}{5}[/tex]
Step-by-step explanation:
The rule to know and follow is:
You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;
5a + b = 14
If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;
Firstly, we subtract b from both sides:
5a + b - b = 14 - b
5a = 14 - b
Then, divide both sides by 5:
[tex]\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}[/tex]
Simple interest ending balance $41,900 at 4% for 2 years?
The simple interest is $3352.
Step-by-step explanation:Using PRT/100, we can find the interest.
=> 41,900 x 4 x 2/100 => 419 x 4 x 2=> $3352Conclusion:Therefore, the simple interest is $3352.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is 10% of 75? Use the double number line below to label your work and answer.
Answer: the answer is 7.5
Step-by-step explanation:
-4x+2y=0
10x+3y=8
HELPPPPPPP
Answer:
x=1/2 y =1
Step-by-step explanation:
(-4x+2y)/2x5=0/2x5
10x+3y=8
(-2x+y)x5=0
10x+3y=8
-10x+5y=0
10x+3y=8
8y=8
y=1
x=1/2
(x^2−x−6x^2−8x+16)/(x2−x−12)
What number cannot be the value of x in the expression above? Why?
Question 12 options:
-3 and 4 cannot be the values of x in the given expression
The expression is given as:
[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]
Start by equating the denominator to 0
[tex]x^2 - x - 12 = 0[/tex]
Expand the above equation
[tex]x^2 - 4x + 3x - 12 = 0[/tex]
Factorize the equation
[tex]x(x - 4) + 3(x - 4) = 0[/tex]
Factor out x - 4
[tex](x + 3) (x - 4) = 0[/tex]
Split
[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]
Remove brackets
[tex]x + 3= 0\ or\ x - 4 = 0[/tex]
Solve for x
[tex]x =- 3\ or\ x = 4[/tex]
Hence, -3 and 4 cannot be the value of x in the given expression
Read more about expressions at:
https://brainly.com/question/2972832
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A (2,2) B (4, -2) C (-4,0)
Step-by-step explanation:
K = 2
K is the scale factor so the y and x distance between the points will double
just take to coordinates and multiply them by 2
A 1,1 new 2,2
B 2, -1 new 4,-2
C -2,0 new -4,0
How many yards is 24 feet
Answer:
8 yards
Step-by-step explanation:
1 yard is equal to 3 feet, so we just do 24/3 = 8 yards
Answer:
8
Step-by-step explanation:
1 feet is 3 yards so 24 yards is 8
PLEASE HELP!!!!! I WILL REWARD
Answer:
the fourth bubble or d
Step-by-step explanation:
x has to equal to or less than 6
Could somebody please explain this to me?
Answer: call 911
Step-by-step explanation: call 911
Jillian is making accessories for the soccer team. She uses 677.46 inches of fabric on headbands for 38 players and 4 coaches. She also uses 366.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
The amount of fabric used to make the headband is 16.13 inches. The amount of fabric used to make the wristband is 9.64 inches.
In order to determine the amount of fabric used to make the accessories, the total inches used would be divided by the total number of people the accessory was made for.
The amount of fabric used to make headband for a player = total quantity of fabrics used / total number of people
677.46 / (38 + 4)
677.46 / 42
= 16.13 inches
The amount of fabric used to make wristband for a player = total quantity of fabrics used / total number of players
366.32 / 38 = 9.64 inches
To learn more about division, please check: https://brainly.com/question/194007
PLEASE HELP ME IN THIS QUESTION THE ASSIGNMENT IS DUE IN 2 MINUTES
What is the value
of m when p= 32
3p + 2 = m
m =
O
11
00
8
O
5
3
Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?
Answer:
15.3 GAL.
Step-by-step explanation:
An ice cream stand uses the expression to determine the cost (in dollars) of an ice cream cone that has scoops of ice cream.2 + 0.5x2+0. 5x2, plus, 0, dot, 5, xxxx
How much does an ice cream cone with scoops cost?55
Answer:
answer: 0
Step-by-step explanation:
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
(x+4)•(x-1)
——————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
(x+4) • (x-1) = 0
7.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
simple form
x = 1
x = -4
Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
5. How much would d dollars earn in one year at thē rate of p percent compounded annually?
Answer:
a
Step-by-step explanation:
a
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)
Question 1 options:
1)
2)
3)
3
4)
4
Answer:
4 Trust me
Step-by-step explanation:
Find the Values of X and Y
X=
Y=
Answer:
14 and 12
Step-by-step explanation:
Write an equation in slope-Intercept form for the line with slope 2 and y-Intercept - 1. Then graph the line.
Answer:
Solution given in the photo
One-celled organisms that are more complex than bacteria are called viruses.
Question 6 options:
True
False
Answer:
false
Step-by-step explanation:
bacteria are bigger and more complex than viruses.
Pls help fast i will mark brainlyest
Answer:
x = 20
Hope you could get an idea from here.
Doubt clarification - use comment section
How do you multiply a fraction and a whole number? Please explain step by step to get marked as brainliest!
Answer: 1 1/2 x 4 4/7
= 3/2 x 32/7
= 96/14
Step-by-step explanation:
1. Write the whole number as a fraction with a denominator of 1.
2. Multiply the numerators.
3. Multiply the denominators
4. Simplify. If needed, if your answer is greater than 1, you may want to write your answer as a mixed number.
Dog food is sold in 7 pound bags. Sketch
a graph to show the weight of dog food
purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.
Answer:
Continuous
Step-by-step explanation:
I NEED HELP! The surface area of a triangle is base times height. True or False?
Answer:
true
Step-by-step explanation:
i learned this in like 7th grade