Answer:
g = 5/59
Step-by-step explanation:
how much water must be added to a 6-liter solution that contains 7% extract of baneberry to get a solution that contains 5% extract of baneberry
Answer:
the water to be added is 0.2 L
Step-by-step explanation:
The computation of the water to be added is given below:
The banberry amount is
= 7% of 6 Liters
= 0. 42L
Now
Let us assume the amount of water added be x L
So, the total solution is
= 6+ x L
Now percentage of banberry is
= 0.42 × 100 ÷ (6+x)
5 = 0.42 × 100 ÷ (9 + x)
9 + x = 9.2
x = 0.2 L
hence, the water to be added is 0.2 L
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.
56 65 62 53 68 58 65 52 56
Find the median retirement age. Round your answer to one more decimal place than is present in the original data values.
Answer:
58.0
Step-by-step explanation:
Given the data:
56 65 62 53 68 58 65 52 56
Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68
Median = 1/2(n + 1) th term
n = sample size = 9
Hence,
Median = 1/2(9 + 1)th term
Median = 1/2(10)th term
Median = 5th term
5th term in the reordered data = 58
Hence, median age is 58
Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?
Answer: 90 words per minute
====================================================
Work Shown:
270 words : 3 minutes
270/3 words : 3/3 minutes ..... divide both parts by 3
90 words : 1 minute
Brayden can type 90 words per minute (wpm).
What is the value of x?
Answer:
4
simplied=2
Step-by-step explanation:
10²=8²+x²
10²=8²-x²
20=16-x²
x²=4
Simplied=2
The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.
Answer:
28.29
Step-by-step explanation:
A=πr2
=3.14(3^2) (btw the ^2 is exponent)
=3.14(9)
=28.29
Skylar invested $8,900 in an account paying an interest rate of 2.6% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 11 years?
Answer:
11847
Step-by-step explanation:
8900e ^0.026(11)
8900e^0.286
11846.7228518
answer 11847
Answer: 11749
Step-by-step explanation:
A=Pe
rt
=
5500
=
0.069
=
11
P=5500r=0.069t=11
Given values
=
5500
0.069
(
11
)
A=5500e
0.069(11)
Plug in
=
5500
0.759
A=5500e
0.759
Multiply
=
11748.7645718
A=11748.7645718
Use calculator (with e button)
≈
11749
A≈11749
Round to nearest dollar
Due to the increase in global travel and the prevalence of invasive species, the Anopheles mosquito carrying the malaria parasite was inadvertently introduced to this isolated Pacific island. A researcher, 100 years from the present day, decides to complete a follow-up study and monitors another 50 couples who are all heterozygous for type A blood and have sickle cell trait. These couples had 136 children. Based on the introduction of the Anopheles mosquito carrying the malaria parasite, predict scientifically logical observed numbers of children for each genotype possibility and complete a chi-square statistical analysis test.
i. What is your predicted chi-square value(x^2)?__________
ii. Calculate df. _______
iii. Using the critical values table, determine the predicted P value.
Answer:
i. Predicted chi-square value(x^2)?______ 22.35
ii. df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The P-Value is .050985 for 5 df and 0.05 significance level. The result is not significant at p < .01.
The P-Value is .010362 for 5 df and 0.01 significance level. The result is not significant at p < .01.
Step-by-step explanation:
Phenotype Predicted ( o) Expected (e) (o-e) (o-e)²/e
(observed)
A- normal 19 3/4 * (1/4)= 3/16 25.5 -6.5 1.66
O normal 5 1/4 * (1/4)= 1/16 8.5 -3.5 1.44
A trait 70 3/4 * (1/2)= 3/8 51 19 7.07
O trait 25 1/4 * (1/2)= 1/8 17 8 3.67
A Disease 13 3/4 * (1/4)= 3/16 25.5 -12.5 6.13
O Disease 4 1/4 * (1/4)= 1/16 8.5 -4.5 2.38
136 136 22.35
i. What is your predicted chi-square value(x^2)?______ 22.35
ii. Calculate df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The critical region for alpha =0.05 is χ² ≥ χ² (0.05,5) = 11.02
The P-Value is .050985. The result is not significant at p < .01.
The critical region for alpha =0.01 is χ² ≥ χ² (0.01,5) = 15.00
The P-Value is .010362. The result is not significant at p < .01.
The calculated value of chi square is 22.35 which is greater than 15.00 and 11.02 , the critical regions at alpha 0.05 and 0.01
Therefore it falls in the critical region and the result is insignificant.
A pharmacist has 600 milliliters of a solution that is 30% active ingredient. How much pure water should she add to the solution to get a solution that is 15% active ingredient?
Answer:
600 ml of pure water.
Step-by-step explanation:
To determine how much pure water the pharmacist should add to a 600ml solution with 30% active ingredient, so that this solution becomes 15%, the following calculation must be performed:
600 x 0.3 = 180
15 = 180
100 = X
100 x 180/15 = X
18,000 / 15 = X
1,200 = X
1,200 - 600 = 600
Thus, 600 ml of pure water should be added to achieve a 15% solution.
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
x=3
y=0
i hope this helps:)
Step-by-step explanation:
a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the value of the car be, to the nearest tenth, after 6 years.
Answer:
$9,709.17
Step-by-step explanation:
HELP MIDDLE SCHOOL QUESTION
answer:
26.563 miles.
step-by-step explanation:
5.123 + 6.34 + 7.1 + 8 = 26.563
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There were five winning lottery tickets for a total jackpot of 40,000. 3 of the winners won twice as much as the other two. how much did each of the two that won the least get?
There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.
What does the term probability mean?Probability measures how likely an event is to occur. It's difficult to know everything that will happen in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The likelihood of an event occurring is determined by probability: P(A) = f / N. Probability and odds are related, but probability is necessary for odds to exist. Probability is required before calculating the likelihood of an event. Classical, empirical, subjective, and axiomatic viewpoints are the four most popular approaches to probability.Here is an easy use of probability in daily life that you probably already utilize. Before we organize a significant outing, we always consult the weather prediction. The forecaster will occasionally say that there is a 60% chance of rain.Given,
Total number of outcomes =1000
Favorable outcomes =5
Simplify, 5 ÷ 1000
Then we get,
∴ Required probability = 0.005.
The complete question is:
1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?
To learn more about probability, refer to:
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What’s 57.036 in word form
geometry question stated above
Answer:
E. HL
Step-by-step explanation:
In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.
Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.
The width of a rectangle is shown below:
A coordinate plane with a point A at negative 4, 4 and C at negative 4, negative 3.
If the area of the rectangle to be drawn is 42 square units, where should points B and D be located if they lie to the right of points A and C?
Answer:
D
Step-by-step explanation:
(2, 4) and D(2, −3)
Find the domain and range of the relation.
please please help me
Answer:
The domain of the relation is [tex]D = [-2,\infty)[/tex]
The range of the relation is [tex]R = (-\infty, \infty)[/tex]
Step-by-step explanation:
Domain and range:
Domain is considered to be the input values, in a graph, the values of x.
Range is considered to be the output values, in a graph, the values of y.
In this graph:
x starts at -2 and goes to infty. So the domain is: [tex]D = [-2,\infty)[/tex]
As for y, the arrows indicates it goes to infinity. So [tex]R = (-\infty, \infty)[/tex]
1. In each of the following expressions, c represents the original cost of an item.
10.900
TL 0.10c
C -0.10c
a. Circle the expression(s) that represents 10% of the original cost. If more than one is
correct explain why the expressions you chose are equivalent.
represents ® D
b. Put a box around the expression(s) that represent the final item after a 10% decrease.
If more than one is correct explain why the expressions you chose are equivalent.
2. An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in
price. Round your answer to the nearest tenth.
3. A baseball team had 80 players shows up for tryouts last year and this year 96 players
show up for tryouts. Find the percent increase in players from last year to this year.
4. The price of a bag of bagels rose from $2.80 in January to $3.50 in April. What was the
percent increase of the price of a bag of bagels?
A 20%
B. 25%
C. 70%
D. 80%
5. Joe's weekly pay increased from $80 to $100. What is the percent increase in pay?
A 40%
B. 25%
C. 20%
D. 80%
Plzzzzz help
St
Question 1
Calculate the derivative of y = f(x) = 3 x(4x + 7)
Your answer:
Answer:
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Step-by-step explanation:
Explanation:-
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
What is 20% of 80 I need help
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
Please mark me Brainliest :)
Answer:
16 is 20 percent out of 80
Step-by-step explanation:
Compute 292, 000 divide 100.
Can someone help pls ASAP running out of time
Answer: The correct answer is A
Step-by-step explanation:
If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4
1/4 x 5/1 = 5/4
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Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.
Answer:
10w-3t+5
Step-by-step explanation:
The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Let's say the number of words written is w and the number of tiles is t.
As per the given,
Players earn 10 points so 10w will be points through words.
3 points taken away thus -3t.
One word contains 6 letters thus +5 points.
Total score = 10w - 3t + 5.
Hence "The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5".
To learn more about expression,
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f(n) = (2n – 2) + 2; 52 ( PLEASE ANSWER QUCIKLY WILL GIVE BRAINLIEST AND THANKS PLEASEEEEE!!!!!!) FIND THE POSITION FOR THE GIVEN TERM
Answer:
[tex]n =26[/tex]
Step-by-step explanation:
Given
[tex]f(n) = (2n - 2) + 2[/tex]
Required
Find n when [tex]f(n) = 52[/tex]
Substitute 52 for f(n) in [tex]f(n) = (2n - 2) + 2[/tex]
[tex]52 = (2n - 2) + 2[/tex]
Remove bracket
[tex]52 = 2n - 2 + 2[/tex]
[tex]52 = 2n[/tex]
Make n the subject
[tex]n = \frac{52}{2}[/tex]
[tex]n =26[/tex]
The position is 26
Korl spent $46.20 on 12 gallons. what was the price per gallon?
Answer:
3.85
Step-by-step explanation:
46.20/12
12 goes into 46.20
3.85
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Answer:
10m/7
Step-by-step explanation:
quotient means division so 10 times m is 10m
and then we will divide 10m and 7
10m/7
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Complex Numbers I need help
Answer:
Answer is (4+3i)+(5-6i)=(9-3i)
Step-by-step explanation:
I hope it's helpful!
==============================================
Work Shown:
(4+3i) + (5-6i)
4+3i + 5-6i
(4+5) + (3i-6i)
9 + (3-6)i
9 + (-3)i
9 - 3i
As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.
Which word phrase represents the numerical expression? (7 - 3) ÷ 2 *
The sum of seven and three, divided by two.
The sum of seven and three, multiplied by two.
The difference of seven and three, divided by two.
The difference of seven and three, multiplied by two.
Answer:
The difference of seven and three divided by two
Step-by-step explanation:
You do the operations in the parentheses first, according to PEMDAS.
Tamu ran 30 minutes and burned 170 calories. How many calories did Tamu burn per minute. Write your answer as a decimal.
Answer:
170/30= 5.6
Step-by-step explanation:
There should also be a line like - over the 6