Answer: 0.8956
Step-by-step explanation:
Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.
Let X be the daily surface concentration of carbonyl sulfide.
The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability = 0.8956
2x•(-3x)+5•(2x²)-x•x=
??
Answer:
Step-by-step explanation:
Thank all of you !!!
Answer:
[tex]this \: proberbility \: is \: \frac{2}{12} = \frac{1}{6} [/tex]
Answer:
1/6
Step-by-step explanation:
First there is 12 muffins, minus 7 and 3 equals 2 cranberry ones, and 2/12 = 1/6.
An insurance policy sells for $800. Based on past data, an average of 1 in 50
policyholders will file an $8,000 claim, an average of 1 in 100 policyholders will file
a $20,000 claim, and an average of 1 in 250 policyholders will file a $50,000 claim. Find
the expected value to the company per policy sold.
Answer: i needed this question too!
pls help asap for brainiest answer!
Answer:
Quest 1. is C, i.e 8. besides thier base are equal.
Quest 2. is D
Wuest 3. is C
Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.
Which is the greater volume: a six-pack or 2 liters?
A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?
Answer:
List some of the given data:
1 L = 33.8 oz.
A) Which one has more volume?
In a six-pack, each can has 12 oz.
Then in total, this is:
6*12oz = 72oz.
In one liter we have 33.8 oz.
Then in two liters, we have two times that:
2L = 2*33.8 oz = 67.7 oz.
Then the sixpack has more volume.
B) Which one has more value?
Here we must divide the volume by the price:
Six-pack:
Volume = 72 oz.
Price = $1.37
Ratio = 72oz/$1.37 = 52.55 oz/$.
2L bottle:
Volume = 67.7 oz
Price = $1.31
Ratio = 67.7oz/$1.31 = 51.68 oz/$.
You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.
Can someone help me find the answer to this
Answer:
2/11
Step-by-step explanation:
[n +1] – 10 >-9
Solve.
What is 465,211 rounded to the nearest hundred thousand?
Answer:465000
Step-by-step explanation:
What is the solution to the inequality? 14x - 14 > -7x + 7
Answer:
X<1 or X>3/2
Step-by-step explanation:
What is the solution to the equation 1/4x+2=-5/8x-5
multiply everything by 8
2x+16 = -5x-40
-16 on both sides
2x = -5x-56
+5x on both sides
7x = -56
x=-8
so the first option
Answer: x = -8
its just is lol
A group of students are given three problems to solve
(Problem A, B and C.)
13 students solve problem A, 17 solve problem B
and 7 solve problem C.
9 solve problems A and B.
6 solve problems B and C.
5 solve problems A and C.
4 solve all three problems.
2 solve none of the three problems.
How many students are there altogether.
Answer:
63
Step-by-step explanation:
Answer:
Maybe 55
Step-by-step explanation:
How do you divide 34.2 / 7.6 and show your work
Answer:
9/2
Step-by-step explanation:
first you convert the decimal number into a fraction
34.2/7.6= 171/5 over 7.6
then it becomes 171/5 over 38/5
then you reduce the fraction with five(so you cross out the 5's)
now youre left with 171/38
then you reduce the fraction with 19
now you have 9/2
9/2 is your answer
A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18
Answer:
It is statistically significant that mean of difference scores is different from 0
Step-by-step explanation:
Subject Bar 1 Bar 2 Difference
1 20 40 20
2 18 25 7
3 24 38 14
4 14 27 13
5 5 31 29
6 26 21 -5
7 15 32 17
8 29 38 9
9 15 25 10
10 9 18 9
Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]
Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]
Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]
Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]
We will use t test for unpaired
[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]
Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]
Degree of freedom = n-1 = 10-1 =9
Using calculator
The p-value is .002559.
p value < α
So ,we reject null hypothesis
So, It is statistically significant that mean of difference scores is different from 0
If the sum of three consecutive numbers is 852, what is the middle one?
it should be 3 and 3 is the the right answer
The required middle number is 284 and the three consecutive numbers would be 283, 284, and 285 respectively.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
Let the three consecutive numbers would be x, x + 1, x + 2 respectively
Given that the sum of three consecutive numbers is 852
⇒ x + x + 1 + x + 2 = 852
⇒ 3x + 3 = 852
⇒ 3x = 852 - 3
⇒ 3x = 849
⇒ x = 849/3
⇒ x = 283
So the three consecutive numbers would be 283, 284, and 285 respectively.
Therefore, the required middle number is 284.
Learn more about the number system here:
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Do these ratios make a proportion? 4:10 and 6:15
I NEED THIS ASAP!!! Thanks!
To see if these ratios make a proportion let us first change them into fractions
= 4:10 = 4/10 = 4 ÷ 2 / 10 ÷ 2 = 2/5
= 6:15 = 6/15 = 6 ÷ 3 / 15 ÷ 3 = 2/5
= Since both these ratios are getting simplified into a same fraction , they are proportional .
Therefore , 4 : 10 :: 6 : 15 ( 4 : 10 is proportional to 6 : 15 )
(3.1 · 10² ) (2 · 10³) Write in Scientific Notation.
Answer:6.03*10^3
Step-by-step explanation:
(3.1 *10^2)(2*10^3)
2*10^3=20*10^2
(3.1*10^2)(20*10^2)
(60.3*10^2)=
6.03*10^3
Express as a trinomial.
(x + 1)(3x − 2)
PLEASE HELP :)
Answer:
3x^2+x-2
Step-by-step explanation:
show the steps you take and the final answer you get when you evaluate the expression.
Answer:
28
Step-by-step explanation:
(4+5x)-x^2
(4+5(3))-3^2
(4+15)+9
19+9
28
Which ratios approximate pi ()?
Select all the ratios that approximate pi ().
A.
66:21
B.
60:20
C.
21:7
D.
45:15
E.
22:7
9514 1404 393
Answer:
A: 66/21
E: 22/7
Step-by-step explanation:
The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.
A: 66/21 = 22/7 = 3 1/7
B: 60/20 = 3
C: 21/7 = 3
D: 45/15 = 3
E: 22/7 = 3 1/7
___
Comment on pi approximations
The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.
Help fast fast!!! I'm begging
Answer:
28
Step-by-step explanation:
Hope this helps
In a genetics class, 6 students have GREEN eyes, 3 students have BLUE eyes, and 11 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are GREEN or HAZEL?
17/20 is the probability that their eyes are green or Hafzel.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The number of students having Green eyes =6
The number of students having Blue eyes =3
The number of students having Hafzel eyes =11
The total number of students=11+3+6
=20
The probability that their eyes are green is 6/20
The probability that their eyes are Hafzel is 11/20
The probability that their eyes are green or Hafzel
6/20 + 11/20
= 17/20
Hence, 17/20 is the probability that their eyes are green or Hafzel.
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ONE OF THE COLDEST TEMPERTURES EVER RECORDED WAS -128F IN ANTARCTICA. ONE OF THE WARMEST TEMPERATURES EVER RECORDED WAS 134 DEGREES FAHRENHEIT IN DEATH VALLET CALIFORNIA. HOW MANY DEGRESS DIFFERENCE ARE THERE BETWEEN THE COLDEST AND WARMEST RECORDED OUTSIDE TEMPERTURE
Answer:
271 degrees
Step-by-step explanation:
143-(-128)=143+128=271 degrees
Jack has let out 40 m of kite string when he observes that his kite is directly above Jill. If Jack is 25 m from Jill, how high is the kite?
Answer:
Use this formula:
A^2 + B^2 = C^2
40 is the hypotenuse of the triangle:
A^2 + 25^2 = 40^2
A=31.2 meters (Approx)
What is the solution to j + (-3) = 9?
Answer:
j = 12
Step-by-step explanation:
j + (-3) = 9
j = 12
Is this relation a function? Justify your answer.
Please help me!! 5:56pm as soon as you can! I could maybe help you with a problem!
Answer:
C. No because two points with the same x-value have different y-values
Step-by-step explanation:
please help. I will mark brainleist
Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆KB
A. BJ
B. CM
C. ML
D. CL
If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given that ∆LMC ≅ ∆BJK.
The image of the triangles are attached below;
The triangle are congruent to each other so,
∆LMC ≅ ∆BJK
∆LM ≅ ∆BJ
∆LC ≅ ∆BK
∆MC ≅ ∆JK
Thus, ∆LC ≅ ∆BK so the correct option is D.
Learn more about congruent triangles;
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make a table and graph the solutions of each equation y=3x+1
Answer:
i can't graph it but i'll give you the points to graph
Step-by-step explanation:
(-2, -5) (-1,-2) (0,1) (1,4) (2,7)
start at the point in bold
does anyone know how to do the work these out? thank you!! ☺️
Joe buys lunch at a local cafe for 8.60 if she leaves a 15% tip how much does she spend at the cafe
Answer:
dhvbhdvhdhddjbd
Step-by-step explanation: