Answer:
35
60
91%
Step-by-step explanation:
If a soil sample test gives a positive result, it is **91.7%** likely that the soil sample contains organic matter.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Positive results= 95%
Negative results= 5%
Now,
Positive result = 700 * 0.95 = 665
Negative result = 700 * 0.05 = 35
Similarly, for the soil samples that do not contain organic matter, we know that 20% of them will give a positive result and 80% will give a negative result. So, we can multiply 300 by 0.2 and 0.8 to get:
Positive result = 300 * 0.2 = 60
Negative result = 300 * 0.8 = 240
To fill in the missing value in the statement, we can use Bayes' theorem, which states that:
P(A|B) = P(B|A) * P(A) / P(B)
So, we have:
P(contains organic matter | positive result) = P(positive result | contains organic matter) * P(contains organic matter) / P(positive result)
P(positive result) = P(positive result | contains organic matter) * P(contains organic matter) + P(positive result | does not contain organic matter) * P(does not contain organic matter)
P(positive result) = 0.95 * 0.7 + 0.2 * 0.3
P(positive result) = 0.665 + 0.06
P(positive result) = 0.725
Plugging these values into Bayes' theorem, we get:
P(contains organic matter | positive result) = (0.95 * 0.7) / (0.725)
P(contains organic matter | positive result) = (0.665) / (0.725)
P(contains organic matter | positive result) = 0.9172
Therefore, by probability the answer will be 91.7%
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ7
A number is between 40 and 45. It has prime factors of 2 and 7. What is the number?
Answer:
42
Step-by-step explanation:
42 is divisible by both 7 and 2
The number which has prime factors of 2 and 7 and in between 40 and 45 is 42.
Given that, a number is between 40 and 45. It has prime factors of 2 and 7.
What are prime factors?The process of writing a number as the product of prime numbers is prime factorization. Prime numbers are the numbers that have only two factors, 1 and the number itself.
The numbers between 40 and 45 are 41, 42, 43 and 44.
The factors of the numbers are as follows
41 = 1×41
42 = 1×2×3×7
43 = 1×43
44 = 1×2×2×11
Therefore, the number which has prime factors of 2 and 7 and in between 40 and 45 is 42.
To learn more about the prime factors visit:
https://brainly.com/question/10454590.
#SPJ2
Type the correct answer in each box.
Consider circle O, where mBD =70° and mCA = 170°
m∠BPD: ____°.
mBC + mAD = ____°.
Answer:
m∠BPD: 120°
mBC + mAD =120°
Step-by-step explanation:
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Given:
mBD =70°
mCA = 170°
So,
m∠BPD= 1/2( (m∠BD + m∠CA))
=1/2(170+70)
=1/2*240
=120
and,
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
Learn more about this concept here:
https://brainly.com/question/9212605
#SPJ2
EASY MATH PLEASE HELP!
Most dogs fail to become service dogs. In a recent training class, only 6 of the 15 dogs were certified as service dogs. What percent of dogs became certified service dogs?
Answer:
40 Percent
Step-by-step explanation:
Tony wants to purchase a football for $44. He has a coupon for 30% off. Which is the price of the football
with the coupon?
Answer:
$32.02
just find 30% of 44
Can someone plz help me with this one problem plz!!!
I’m marking brainliest!!
PLEASE HELP I DON'T KNOW THE ANSWER!!!
The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of 25
grams.
Enter the Z-score of an orange that has a mass of 259 grams.
Answer:
0.8
Step-by-step explanation:
i just took the test
You roll a six-sided die twice. What is the probability of landing
on a four then landing on a six? Record answer as a fraction in
simplest form.
1/2
1/6
1/12
1/36
1/4
make y the subject please help
Step-by-step explanation:
Square both sides and you will get
3xy/(x + y) = 4
Multiplying both by (x + y), we get
3xy = 4(x + y) = 4x + 4y
Put all the terms containing y to the left side:
3xy - 4y = 4x
y(3x - 4) = 4x
or y = 4x/(3x - 4)
In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.
Answer:
B. At its lowest point, the wire is 24 feet above the ground
Step-by-step explanation:
HELP ASAP!
Show me how to find x using the correct equation shown here (geometry)
Answer:
x = 13
Step-by-step explanation:
The 2 angles same- side interior angles and sum to 180°
Then the equation to use to find x is
12x - 29 + 4x + 1 = 180
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
Answer:
13
Step-by-step explanation:
Angles ( 12x - 29 ) and ( 4x + 1 ) are co - interior angles.
Sum of co - interior angles are supplementary.
12x - 29 + 4x + 1 = 180
12x + 4x - 29 + 1 = 180
16x - 28 = 180
16x = 180 + 28
16x = 208
x = 208 / 16
x = 13
find the value of 32½
Answer:
65 will be the correct answer
Step-by-step explanation:
32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.
32.5 % of 10 would be 3.25.
10n+0.3=0.1n+0.3 Solve for N
Answer:
n=0
Step-by-step explanation:
Let's solve your equation step-by-step.
10n+0.3=0.1n+0.3
Step 1: Subtract 0.1n from both sides.
10n+0.3−0.1n=0.1n+0.3−0.1n
9.9n+0.3=0.3
Step 2: Subtract 0.3 from both sides.
9.9n+0.3−0.3=0.3−0.3
9.9n=0
Step 3: Divide both sides by 9.9.
9.9n/ 9.9 = 0/ 9.9
n=0
Answer:
n=0
Answer:
0
Step-by-step explanation:
10n - .1n = 9.9n
9.9n + .3 = .3
subtract .3 from the other one and get 0
9.9n = 0 then divide and it comes out to 0
-2/3m = 12 solve for m
Step-by-step explanation:
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{-2}{3m}=12[/tex]
use cross multiplication[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=3m\times 12[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=6m[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow m=\dfrac{-2}{6}[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ m=-\dfrac{1}{3}}}}}[/tex]
If f(1)=3 and f(n)=3f(n-1) then find the value of f(6).
Answer:
(n-1)
Step-by-step explanation:
State the x- and y-intercepts of each equation
12x + 9y = 15
The x intercept : (5/4,0)
The y intercept : (0,5/3)
I hope this helps, have a great day!
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
A) An odd number of factors were negative.
B) None of the factors were negative.
C) An even number of factors were negative.
D) All of the factors were negative.
Answer:
c
Step-by-step explanation:
Convert the decimal below into a rational number.
[tex]0.1^{-}[/tex]
A. 11/111
B. 1/9
C. 1/11
D. 1/10
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Solve this question using standard algorithm for multiplying a fraction by the whole number.Simplify the product.3x3/4
Answer:
[tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Hi there!
[tex]3*\frac{3}{4}[/tex]
Rewrite 3 as a fraction
[tex]= \frac{3}{1} *\frac{3}{4}[/tex]
Multiply the numerators and the denominators
[tex]3*3=9\\1*4=4[/tex]
[tex]= \frac{9}{4}[/tex]
I hope this helps!
can i please have help i dont know the answer to this one
Answer:
B
Step-by-step explanation:
8/2(2+2) I already know the answer, I just wanna know whether people think it's 16 or 1
Answer:
I think its 16
Step-by-step explanation:
Answer:
[tex] \frac{8}{2} (2 + 2) = 16[/tex]
What is y=(3x-9)(x+2) in standard form?
PLEASE HELP URGENT This Stem-and-Leaf Plot shows the number of books sold daily by a bookstore in the previous month. What is the mode of the data set? 90 POINTS
A. 45 books
B. 13 books
C. 21 books
D. 53 books
Answer:
45
Step-by-step explanation:
Im not good with explaining
Answer:
c 21
Step-by-step explanation:
Please help!!!!!!!!!!
Answer:
true
Step-by-step explanation:
Answer:
I’m pretty sure it’s true. Hope this helps!
Liam bought a sandwich for $4.75, a bag of chips for $2.30, and a drink for $1.15. The tax was $0.65. He gave the cashier $10.00. How much change should Liam have receive
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth. A. 696.99 cm3 B. 133.97 cm3 C. 267.95 cm3 D. 334.94 cm3
Answer:
267.95cm^3
Step-by-step explanation:
S= 4πr^2
Surface area is 200.96
π= 3.142
200.96= 4×3.142×r^2
200.96= 12.57r^2
r^2= 200.96/12.57
= 15.99
= √15.99
r = 3.9
Volume= 4/3πr^3
= 4/3× 3.142×3.9^3
= 267.95 cm^3
Sid has a bag with 10 pink thimbles and 20 silver thimbles. If he draws a thimble from the bag without looking, what is the probability that will be a pink thimble?
Answer:
50%
Step-by-step explanation:
10/20
1/2
50%
Solve each of the unknowns in the equation below:
x - 76 = 102
A-36
B-178
C-34
D-26
Answer:
B. 178
Step-by-step explanation:
x - 76 = 102
x - 76 + 76 = 102 + 76
x = 178
Answer:
[tex]x = 178[/tex]
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation: [tex]x = 102 + 76[/tex]
Calculate the sum or difference: [tex]x = 178[/tex]
Answer: [tex]x = 178[/tex]
I will give you a Brainly if you do this. I’m struggling on this one
Answer:
Step-by-step explanation: