The population in the U.S is 325 million people, the population of Republica is 47 million, therefore the size of the population of Republica is:
\(\frac{47}{325}=0.1446\approx0.1\)Answer: The population of Republica is 0.1 times the population of the U.S.
Juan randomly surveys students in the seventh grade to learn about their favorite type of music. Of 30 respondents, 8 liked to listen to rap mus Part A Based on Juan's data, how many of the 150 students in seventh grade like to listen to rap music?
Answer: 40
Step-by-step explanation:
150 / 30 = 5
8 x 5 = 40
40 of 150 students is equivalent to 8 of 30 students.
Solve x / by 2.4 =12.7
Answer:
30.48
Step-by-step explanation:
...
Answer:
30.48
Step-by-step explanation:
2.4x12.7=30.48
Please helppp!
Solve the system using elimination
-5x+5y=5
5x-4y=-4
A. (1,0)
B. (0,1)
C. (-1,1)
D. (1,-1)
Answer:
a
Step-by-step explanation:
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
Learn more about probability here:
https://brainly.com/question/23417919
#SPJ8
Select the correct answer.
What is the approximate solution to this equation?
4lni - 8 = 12
ОА.
59,874
OB.
I 10.5
Ос.
IÑ148.4
OD.
I 1.61
Answer:
Answer: Choice C. \(x \approx 148.4\)
Step-by-step explanation:
Logarithmic Equations
Solve:
\(4\ln x-8=12\)
Adding 8:
\(4\ln x=20\)
Dividing by 4:
\(\ln x=5\)
Applying exponentials:
\(e^{\ln x}=e^{5}\)
Since the exponential and the natural log are inverse functions:
\(x=e^{5}\)
Calculating:
\(x \approx 148.4\)
Answer: Choice C. \(x \approx 148.4\)
Answer:148.4
Step-by-step explanation:
plato
pls help 3rd questoin
Answer: A
Step-by-step explanation: Milligram to Centigram
Hope it helped u,
pls mark as the brainliest
^_^
Answer:
I think it is kilogram to gram
Step-by-step explanation:
\(2\sqrt{10} +8\sqrt{7}-6\sqrt{10}-4\sqrt{7}\)
Select the three equivalent expressions
Step-by-step explanation:
4(2h + g)
4h + 4h +3g + g
2(4h + 2g)
(a) Describe the relationship among the lengths of the segments formed by the two secants. You may use words and/or an equation.
(b) Suppose = 3 in., = 2 in. and = 5 in. Is it possible to find the length of ? If so, show how to find the length. If not, explain why not.
Answer:a
Step-by-step explanation:
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
For more such questions on interior angles
https://brainly.com/question/24966296
#SPJ8
If you received a 35,75,85 and 100 on your first four exams what is your average test score?
Answer:
Ans = 73.75
Step-by-step explanation:
(35 + 75 + 85 + 100)/4
Why is c correct pleaseee I need helppp!!
Answer:
C is correct because when multiplying 15 times 15(15^2) you get 225. Then by multiplying 3 times 3 times 3 times 3 times 3 (3^4) you get 81. The next step would be to subtract 225-81 which would leave you with 144. 15^2-3^4= 144. To get the answer of 12^2 you would multiply 12 times 12 which =144. So 144=144.
Step-by-step explanation:
A simple answer would be c=144 and 12^2=144
Answer:
It is C because 12 to the power of two equals 144
Step-by-step explanation:
it's C because
15 to the power of 2 equals 225 and 3 to the power of 4 equals 81 so if you substract 225 and 81 that will give you 144.
Best of luck and I hope it helps.
The nurse encouraged a client with diarrhea to drink 40 ounces of water per day. How many cups does this represent?
the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
As we know,
1 us cup = 8 ounces
Let x be the number of cups:
x = 40 ounces
1/x = 8/40
x = 40/8
x = 5 us cup
Thus, the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
Learn more about the unit conversion here:
brainly.com/question/14350438
#SPJ1
A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ratio to make 1900 pounds of a high grade 55% protein ration how many pounds of each should he use
The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.
To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.
Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.
The total weight equation is given by:
x + y = 1900
The protein content equation is given by:
(0.70x + 0.20y) / 1900 = 0.55
Simplifying the second equation, we get:
0.70x + 0.20y = 0.55 × 1900
0.70x + 0.20y = 1045
Now, we can solve this system of equations to find the values of x and y.
Rearrange the first equation to solve for x:
x = 1900 - y
Substitute this expression for x in the second equation:
0.70(1900 - y) + 0.20y = 1045
1330 - 0.70y + 0.20y = 1045
1330 - 0.50y = 1045
-0.50y = 1045 - 1330
-0.50y = -285
y = -285 / -0.50
y = 570
Now substitute this value of y back into the first equation to find x:
x + 570 = 1900
x = 1900 - 570
x = 1330
Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.
Learn more about system of equations click;
https://brainly.com/question/20067450
#SPJ1
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
Learn more about the average at https://brainly.com/question/130657.
#SPJ1
In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=22°, and PQ = 9.2 feet. Find the length of RP to the nearest tenth of a foot.
Answer:3.4
Step-by-step explanation:
Answer:
3.4
Step-by-step explanation:
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\sin Q = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{x}{9.2}
sinQ=
hypotenuse
opposite
=
9.2
x
\sin 22=\frac{x}{9.2}
sin22=
9.2
x
9.2\sin 22=x
9.2sin22=x
Cross multiply.
Find the area of the figure. Type your answer as just a number, without units.
The area of the polygon is 696
What is area of polygon?A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.
The area of a polygon is is expressed as
A = 1/2 × p × a
where p is the perimeter and a is the apothem
perimeter = n × s
where n is the number of side and s is the side length.
P = 8 × 12 = 96
A = 1/2 × 96 × 14.5
A = 1392/2
A = 696
Therefore the area of the polygon is 696
learn more about area of polygon from
https://brainly.com/question/20110859
#SPJ1
What type of number is 8/2?
Choose all answers that apply:
А
Whole number
B
Integer
C
Rational
D
Irrational
Answer:
A,B,C
Step-by-step explanation:
It is A because 8/2 simplifies to 4 which is a whole number.
4 is an integer, idk if its asking for 8/2 as itself but a fraction isnt an integer.
The fraction above is obviously rational number.
All the types for the number 8/2 is,
A. Whole number
B. Integer
C. Rational
Given that,
The number is,
⇒ 8/2
Now, simplify the number as,
⇒ 8/2
⇒ 4
Clearly, 4 is a whole number and it is an integer.
Here, 4 is written as, 4/1
So, it is also an rational number.
So, the correct options are,
A. Whole number
B. Integer
C. Rational
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
there are 34 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished there will be 70 rose bushes in the park. How many rose bushes did the workers plant today
Answer:
I think the answer is C
Step-by-step explanation:
Because they said there are 34 currently so if you add 36 or 34 to 70 it has to be C
hello! May SOMEBDOY help me as soon as possible
Answer:
y = -1
Step-by-step explanation:
the x always has to be 0 so when you look at the point it is (0, -1 ) therefore the y = -1
Answer:
The coordinates are (3,1)
Step-by-step explanation:
Dividing fractions word problem,
I need your help, yes you!
Answer: 2
Step-by-step explanation:
Answer:
I think it's 2kg
Step-by-step explanation:
13/5 ÷ 13/10
Reciprocate
13/5 × 10/13
= 26/13
=2kg
Siven the graph below, which of the following statements is true?
5+
4
3
2
--5-4-3-2-1₁
1 1 1
-2
-3-
1
Mark this and return
2 3 4 5 X
KEN
O The graph represents a one-to-one function because every x-value is paired with only one y-value.
O The graph represents a one-to-one function because it is defined for all x-values.
O The graph does not represent a one-to-one function because it does not pass through the origin.
Save and Exit
Next
1.-—-.~. --—————-
G
old version of which the answer may be
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answer:
i dont know
Step-by-step explanation:
Starting salaries of 130 college graduates who have taken a statistics course have a mean of $44,783. The population standard deviation is known to be $10,272. Using 99% confidence, find both of the following:
A.The margin of error:
B. Confidence interval:
A. The margin of error for a 99% confidence interval is $$2,320.75.
B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75
How to find both of the margin of error and confidence interval?PART A.
The margin of error (ME) is determined using the formula:
ME= z ∗ σ/√n
where:
z is the z-score for the desired confidence level
σ is the population standard deviation
n is the sample size
For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.
Substituting these values into the formula, we have:
ME = 2.576 ∗ 10272/√130
ME = $2,320.75
PART B
The confidence interval (CI) is determined using the formula:
CI = \(\bar{x}\) ± ME
where:
\(\bar{x}\) is the sample mean
ME is the margin of error
The sample mean is $44,783, and the margin of error is $2,320.75.
Substituting the values into the formula, we get:
CI= 44783 ± 2320.75
CI = $42,462.25 to $47,103.75
Learn more about margin of error on:
https://brainly.com/question/31876031
#SPJ1
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
for such more question on conditional statement
https://brainly.com/question/27839142
#SPJ8
Please help! i have no clue what the answers are!
Answer:
1) 9
2) 27
3) Read explanation below!
Step-by-step explanation:
1) Use the Pythagorean theorem to find AD. Show your working
Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²To find '?' we first have to expand the indices...
12² = 14415² = 225144 + ?² = 225Now work out '?'
225 - 144 = 81√81 = 92) Find AC. Show your working
We have found out that AD is 9 and to find AC we have to add 18!
9 + 18 = 273) Is ΔABC a right triangle? Explain
We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!
Have a lovely day :)
Which number is irrational?
OA. 0.45
OB. 0.636363...
O C. √25
OD. √6
Answer:
D. Sqroot6
Step-by-step explanation:
6 is not a perfect square. So it is a non-repeating decimal that never ends
sqroot6 ~=
2.4494897428...
this is an irrational number.
The rest on the numbers can be written as a ratio:
0.45=45/100=9/20
0.63636363
= 63/99 = 7/11
sqrt25 = 5 = 5/1
that means they are rational.
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
Read more on rotation here: brainly.com/question/28854313
#SPJ1
Which multiplication fact can help you find 24 divided 4?
A. 4 x 6
B. 24 x 4
C. 6-4
D. 24 x 6
The multiplication fact that can help you find 24 divided by 4 is 4 x 6.
What are the answers to these questions?
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88