A high school principal is planning to start a new elective class. He randomly surveys 60 students to ask whether they would take the class, and 7 said they would. How many students can the principal expect to take the class if there are 540 students in the high school
Answers
The principal can expect approximately 63 students to take the class based on the survey results.
To estimate the number of students the principal can expect to take the class based on the survey results, we can use the proportion of students who said they would take the class and apply it to the total number of students in the high school.
According to the survey, out of the 60 students surveyed, 7 said they would take the class. We can calculate the proportion of students who said they would take the class as:
Proportion = Number of students who said they would take the class / Total number of students surveyed
Proportion = 7 / 60
To estimate the number of students who would take the class out of the total high school population, we can multiply this proportion by the total number of students:
Estimated Number of Students = Proportion * Total number of students
Estimated Number of Students = (7 / 60) * 540
Simplifying the equation, we get:
Estimated Number of Students = 7 * (540 / 60)
Estimated Number of Students = 63
For more such questions on survey
https://brainly.com/question/30140721
#SPJ8
Related Questions
Find the Value of "h" h² +4h+111=0
Answers
Answer: h=−2+i√107,−2−i√107
The edges of a cube increase at a rate of 3 cm/s. How fast is the volume changing when the length of each edge is 40 cm?
Answers
Answer:
14400 cm³/s
Step-by-step explanation:
Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.
Rate of change of volumeV = s³ . . . . volume in terms of edge length (s)
dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time
For the given values of s and ds/dt, this is ...
dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s
K
BD bisects ZABC. Solve for x and find mZABC.
m/ABD = (6x), m/DBC = (2x+12)°
X=
m/ABC=
Answers
bisects x = -12AB / (2AB - 6BD)
m∠ABC = 6x
= 6 × (-12AB / (2AB - 6BD))
To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.
According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.
Let's set up the equation using the given information:
m∠ABD = 6x (angle ABD)
m∠DBC = 2x + 12 (angle DBC)
Using the angle bisector theorem, we have:
AB/BD = m∠ABD/m∠DBC
Since BD bisects ∠ABC, we can substitute the given measures into the equation:
AB/BD = (6x) / (2x + 12)
To solve for x, we can cross-multiply:
AB × (2x + 12) = BD × (6x)
Expanding both sides of the equation:
2ABx + 12AB = 6BDx
Rearranging the equation:
(2AB - 6BD)x = -12AB
Now we can isolate x:
x = -12AB / (2AB - 6BD)
The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:
Simplifying this expression further would require additional information about the lengths of AB and BD.
Without this information, we cannot find the exact value of m∠ABC.
For similar questions on bisects
https://brainly.com/question/22499006
#SPJ8
Given that F(x) = x 2 + 2, evaluate F(1) + F(5).
Answers
Answer:
F(1)= (1)2 + 2
2+2
=4
F(5)= (5)2 + 2
10+2
=12
F(1) + F(5) = 12+4
=16
Step-by-step explanation:
:D
The table below shows two equations: Equation 1 |2x − 3| + 5 = 4 Equation 2 |5x + 3| − 10 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions. Equation 1 has no solution and equation 2 has solutions x = 2, −3.2. The solutions to equation 1 are x = 1, 2 and equation 2 has no solution. The solutions to equation 1 are x = 1, 2 and equation 2 has solutions x = 2, −3.2
Answers
Answer:
Equation 1 has no solution. Equation 2 does. The correct answer would be D.
Discrete Math
a.) How many permutations of { rho , χ , π , δ , ω } begin with the Greek letter δ ?
b.) Determine the number of 3-permutations of a set of cardinality eight.
Answers
To determine the number of permutations that begin with the Greek letter δ, we need to fix δ in the first position and consider the remaining four elements {rho, χ, π, ω} as a set.
The number of permutations of these four elements can be calculated as 4!, which is equal to 24. Therefore, there are 24 permutations that begin with the Greek letter δ.
To find the number of 3-permutations of a set with eight elements, we can use the formula for permutations of n objects taken r at a time, which is given by P(n, r) = n! / (n - r)!. In this case, we have eight elements in the set, and we want to find the number of 3-permutations, so r is equal to 3. Substituting these values into the formula, we get P(8, 3) = 8! / (8 - 3)! = 8! / 5! = (8 * 7 * 6) = 336. Therefore, there are 336 different 3-permutations of a set with eight elements.
a.) To calculate the number of permutations that begin with the Greek letter δ, we consider δ as a fixed element in the first position. This means that we only need to find the number of permutations of the remaining four elements {rho, χ, π, ω}. Since each of these four elements can occupy any of the remaining four positions, there are 4 choices for the second position, 3 choices for the third position, 2 choices for the fourth position, and 1 choice for the fifth position. Therefore, the total number of permutations is obtained by multiplying these choices together, giving us 4! = 4 * 3 * 2 * 1 = 24.
b.) To determine the number of 3-permutations of a set with eight elements, we can use the formula for permutations. The formula P(n, r) = n! / (n - r)! calculates the number of permutations of n objects taken r at a time. In this case, we have eight elements in the set, and we want to find the number of 3-permutations, so r is equal to 3. Plugging these values into the formula, we get P(8, 3) = 8! / (8 - 3)! = 8! / 5!. This simplifies to (8 * 7 * 6) / (3 * 2 * 1) = 336. Therefore, there are 336 different 3-permutations of a set with eight elements.
Learn more about permutations here: brainly.com/question/29855401
#SPJ11
Given: BE and AD are altitudes (intersecting at H) of triangle ABC, while F,G, and K are midpoints of AH, AB and BC, respectively. Prove: angle FGK is a right angle.
Answers
Solution :
Since \(BE\) is an altitude of a triangle \(ABC\), it is perpendicular to \(AC\) (since the triangle ).
Since \(G\) and \(K\) are the midpoints, then the line \(BG=GA\) and the line \(BK=KC\). The line \(KG\) must be parallel to the line \(AC\) and is therefore perpendicular to \(BE.\)
Now since F and \(G\) are the mid points, we get \(GA=BG\). The line \(GF\) is parallel to BH and is perpendicular to AC.
Therefore, we have
\(KG-GK\) parallel to \(AC\)
\(AC\) perpendicular to \(BE-BH-BJ\)
\(BE-BH-BJ\) parallel to \(GF\)
Thus \(GK\) is perpendicular to \(GF\) and also ∠\(FGK\) is a right angle.
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
Answers
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
To know more about hypothesis test refer here:
https://brainly.com/question/29996729#
#SPJ11
Round your answer to the nearest hundredth.
13.48x − 200 < 256.12
Answers
Answer:
x < 33.84Step-by-step explanation:
13.48x − 200 < 256.12
Using the addition property , add 200 to both sides
That's
13.48x + 200 - 200 < 256.12 + 200
13.48x < 456.12
Divide both sides by 13.48
\( \frac{13.48x}{13.48} < \frac{456.12}{13.48} \\ x < \frac{456.12}{13.48} \\ \: \: \: x < 33.83679\)
We have the final answer as
x < 33.84 to the nearest hundredth
Hope this helps you
8r 11613239x 1 + + A study says that the package flow in the North during the month of May follows f(x) = , where 3335000 8675 289311250 27 I≤x≤ 31 is the day of the month and f(x) is in millions
Answers
the package flow on 29th May is approximately 3.4846 million
According to the given question, we know that package flow in the North during the month of May follows f(x) = (8r + 11613239x + 1) / 3335000, where 27 ≤ x ≤ 31 is the day of the month and f(x) is in millions. We need to calculate the package flow on 29th May.
Converting the given equation into the form of f(x) = mx + c, we get:
f(x) = (8r / 3335000)x + (11613239 / 3335000)x + (1 / 3335000)
f(x) = (8 / 3335000)x + (11613239 / 3335000)x + (1 / 3335000)
On substituting x = 29, we get:
f(29) = (8 / 3335000)(29) + (11613239 / 3335000)(29) + (1 / 3335000) f(29) = 0.000008 * 29 + 3.48459 + 0.000000299 f(29) ≈ 3.484598792 million
Hence, the package flow on 29th May is approximately 3.4846 million.In order to calculate the package flow on 29thMay,
we first need to understand the given equation of the package flow in the North during the month of May. The equation given is f(x) = (8r + 11613239x + 1) / 3335000, where 27 ≤ x ≤ 31 is the day of the month and f(x) is in millions.
We need to convert the given equation into the form of f(x) = mx + c. On doing so, we get:
f(x) = (8r / 3335000)x + (11613239 / 3335000)x + (1 / 3335000)On substituting x = 29 in the above equation, we get:
f(29) = (8 / 3335000)(29) + (11613239 / 3335000)(29) + (1 / 3335000) Simplifying this equation, we get:
f(29) ≈ 3.484598792 million
Hence, the package flow on 29th May is approximately 3.4846 million.
Therefore, we can conclude that the package flow on 29th May is approximately 3.4846 million.
To know more about equation visit:
brainly.com/question/29657983
#SPJ11
Will mark brainlist!! Nick’s Burgers is a fast-food restaurant that sells 140 burgers a day. If sales increase by 60%, how many burgers does the restaurant sell in a day?
A.56
B.148
C.200
D.224
Answers
Answer:
D- 224
Step-by-step explanation:
10% of 140 is 14
So then you multiply 14 by 6 to get 60%
then you add that to 140 to equal 224.
The correct statement is that if the sales of burgers at Nick's Burgers increases by 60%, the total sales per day will be increased to 224 burgers per day from 140 burgers per day.
What is Increased Sales?An increase in sales refers to as the positive shift in the sales of goods as compared to previous sessions during a given period of time, given that other factors vary.
The increase in sales will happen as a result of the strategies that may have been adopted by Nick or increase in the demand due to external factors.
The calculation of increased no. of burgers sold per day can be calculated by using the formula and putting the values given in the example as below,
increased sales = 224
So, the new sales of burgers per day is calculated as 224 per day.
Hence, an increase in sales of burgers at Nick's by 60% will result in sales of 224 burgers per day from 140 burgers per day.
Learn more about increase in sales here:
brainly.com/question/26037072
#SPJ2
Nine veterans and twelve rookies are trying out for a team. Only six players will be selected to be on the team. Determine the probability, to the nearest thousandth, that there will be equal numbers of veterans and rookies on the team. A
Answers
To determine the probability of having equal numbers of veterans and rookies on the team, we can use combinatorics.
There are a total of 9 veterans and 12 rookies, and we need to select 3 veterans and 3 rookies to form the team.
The total number of possible teams that can be formed is given by the combination formula:
C(total, selected) = C(21, 6) = 21! / (6! * (21-6)!) = 21! / (6! * 15!)
To have equal numbers of veterans and rookies on the team, we need to choose 3 veterans from the 9 available and 3 rookies from the 12 available. This can be calculated using the combination formula:
C(veterans, selected) * C(rookies, selected) = C(9, 3) * C(12, 3) = (9! / (3! * (9-3)!)) * (12! / (3! * (12-3)!))
The probability is then calculated by dividing the favorable outcome (the number of teams with equal numbers of veterans and rookies) by the total number of possible teams:
Probability = (C(veterans, selected) * C(rookies, selected)) / C(total, selected)
To know more about probability click here: brainly.com/question/31828911
#SPJ11
We would like to test the hypotheses H0: μ = 130, HA: μ > 130. We found t = 2.73 with 5 degrees of freedom. What is the appropriate p-value.?
Answers
The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.
What is p-value?Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.
Given:
Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)
Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)
T-statistic: t = 2.73
Degrees οf freedοm: df = 5
Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.
Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.
Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.
Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).
Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:
p-value = 0.0257 / 2 = 0.01285
Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.
To learn more about p-value visit:
https://brainly.com/question/30461126
#SPJ4
What is the measure of angle L?
Round only your final answer to the nearest hundredth.
Answers
Answer:
1.27 radians
Step-by-step explanation:
A surveyor leaves her base camp and drives 42km on a bearing of 32 degrees. She then drives 25km on a bearing of 154 degrees. How far is she then from her base camp and what is her bearing from it
Answers
Answer:
35.7 km and 248.3 °
Step-by-step explanation:
I will attach the diagram to an image to make it easier to understand.
We will use the formula corresponding to the law of cosine
y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)
y² = 2389 - 1112.83 = 1276.17
y = √1276.17
y = 35.72 km
Now, to calculate the surveyor's bearing from her base camp we must use the sine law:
[(Sin 58 °) / y] = [(Sin A) / 42]
Without A = (42 * without 58 °) /35.72
A = sin⁻¹ (0.9971)
A = 85.7 °
Bearing of the surveyor from the base camp = 270 ° - (85.7 ° - 64 °) = 248.3 °
If transcription progresses at the rate of 40 nucleotides per second, how long it would take to transcribe a sequence that is 3. 6 x 104 bases long?.
Answers
20 to 25 minutes Transcription occurs at a rate of 40 nucleotides per second.
Given,
In the question:
If transcription progresses at the rate of 40 nucleotides per second.
To find the how long it would take to transcribe a sequence that is 3. 6 x 104 bases long?
Why is a nucleotide necessary?
Nucleotides have a variety of roles in animal physiology, including those of energy storage, transporters of activated metabolites for biosynthesis, structural moieties of coenzymes, and metabolic regulators.
Give an example of nucleotides and describe them.
A nucleotide is the fundamental part of nucleic acids (RNA and DNA). A nucleotide is made up of a nitrogen-containing base, a phosphate group, and a sugar molecule (either ribose in RNA or deoxyribose in DNA). The nucleotides used in DNA are adenine (A), cytosine (C), guanine (G), and thymine (T).
Hence, 20 to 25 minutes Transcription occurs at a rate of 40 nucleotides per second.
Learn more about Nucleotides at:
brainly.com/question/13185536
#SPJ4
In right-angled ∆ ABC, ∟B=90⁰. ∆ ABC is in the first and second quadrant on the graph paper. The coordinates of the points A and C are (2,5) and (-2,3). How do you find the possible pairs of coordinates of B?
Answers
Answer:
The given coordinates of the points A and C of the right triangle ABC are (2, 5) and (-2, 3) respectively
The possible pairs of the coordinates of the point B are found as follows;
1) Draw a horizontal line from the point C to the right and a vertical line down from the point A to get the point B at (2, 3) which is the point of the perpendicular intersection of the two constructed lines above
2) Draw a vertical line from the point C upwards and a horizontal line to the left from the point A to get the point B at (-2, 5) which is the point of the perpendicular intersection of the two newly constructed lines here
Step-by-step explanation:
Find the value of X.
Answers
Answer:
x=27°
Step-by-step explanation:
180°-54°=126°
180°-126°=54°
54°÷2=27°
i don't know exactly what to do
Answers
Answer:
Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...
What is the sum of {-3x}^{2}−3x
2
-7x+−7x+88 and {-5x}^{2}−5x
2
+6x-4+6x−4?
Answers
I think
Dawson simplifies the equation 4y-3=4(y + 1) and says it has no solution. Is dawson correct?
Answers
Let's start by substituting the right-hand side of the equation into the left-hand side:
What does the math equation mean?
Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.
4y - 3 = 4(y + 1)
4y - 3 = 4y + 4
Now, we can isolate y by subtracting 4y from both sides:
0 = y + 4
-4 = y
So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.
Learn more about equation
https://brainly.com/question/2972832
#SPJ1
a number p divided by 7 is less than -3
Answers
,,,,,,,,,,,,,,,
The inequality expression is p ÷ 7 < -3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number = p
Now,
A number p divided by 7 is less than -3
This can be written as,
p ÷ 7 < -3
p/7 < 3
p < (7 x 3)
p < 21
Thus,
The number p is less than 21.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
On a certain hot summer's day, 451 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1042.75. How many children and how many adults swam at the public pool that day?
Answers
Answer:120 children and 388 adults bought tickets for the swimming pool
Step-by-step explanation:
Two right triangular gardens each have a shorter leg 20 feet. The length of the longer leg of one garden is twice the length of the longer leg of the other garden. The perimeter of the larger garden is 1.6 times the perimeter of the other garden. What is the approximate length of the longer leg of the smaller garden? Use a graphing calculator to help you determine the answer.
Answers
Answer:
about 24.38 feet
Step-by-step explanation:
Graphing window: [0, 30] by [-20, 160]
y1 = 20 + 2x + √(400 + 4x^2)
y2 = 1.6(20 + x + √(400 + x^2))
y1 = y2 when x = 24.3798.
So the length of the smaller garden's longer leg is about 24.38 feet.
A bank loaned out $19,000, part of it at the rate of 7% per year and the rest at 17% per year. If the interest received in one year totaled $2000, how much was loaned at 7%
Answers
Answer:
$12300
Step-by-step explanation:
You want to know the amount loaned at 7% if $19000 loaned at 7% and 17% earns $2000 in one year.
InterestThe interest on an investment P at rate r for t years is ...
I = Prt
The sum of the amounts of interest on a 7% investment of x and a 17% investment of (19000 -x) is given as 2000:
0.07x +0.17(19000 -x) = 2000
-0.10x +3230 = 2000 . . . simplify
1230 = 0.10x . . . . . . . . . . add 0.10x -2000
12300 = x . . . . . . . . . . . . divide by 0.10
The amount loaned at 7% was $12,300.
what's 380 divided by 40
Answers
Hope it helps :-)
Select the correct answer. Solve for x. x2 - 2x - 24 = 0
A.
-4, -6
B.
-4, 6
C.
2, -6
D.
4, 6
Answers
Answer:
B. -4, 6
Step-by-step explanation:
x2-2x-24=0
1st you must factor
x2+4x-6x-24=0
next factor by grouping and find gcf
x(x+4)-6(x+4)=0
you now have your factors so set then to 0 and solve for x
x+4=0
-4 -4
x=-4
x-6=0
+6 +6
x=6
using the digits 1, 2, 3, 4, 5, 6, 7, and 9, form 4 two-digit prime numbers, using each digit only once. what is the sum of the 4 prime numbers?
Answers
Using the given digits only once , the four 2 digit prime numbers are 23 , 41 , 59 , 67 and the the sum of the 4 prime numbers is 190 .
Prime Numbers can be defined as numbers that is greater than 1 and whose only factors are 1 and itself .
For Example : 2 is prime number , 11 is a prime number .
In the question ,
9 digits are given as 1, 2, 3, 4, 5, 6, 7, and 9
we have to form 4 two - digit prime numbers , using each digit only once ,
So , the prime numbers using the given digits using the digits only once is
(i) 23
(ii) 41
(iii) 59
(iv) 67
and the sum of the 4 prime numbers is = 23 + 41 + 59 + 67
= 190
Therefore , the 4 prime numbers are 23 , 41 , 59 , 67 and their sum is 190 .
Learn more about Prime Numbers here
https://brainly.com/question/6788053
#SPJ4
What is the slope of the line through (0,-1) and (2,3)?
Answers
(3+1)/(2-0) = 4/2 = 2
The slope is 2
if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube
Answers
Answer:
The measured side is not shown, so i will answer in a general way.
A cube is a 3-dimensional object with 6 square faces.
You know that all the sides of a square have the same length, then is the same for the cube.
To calculate the volume of a cube, we start with the area of the base.
The base is a square of sidelength L (Suppose that L is the length of the measured side)
The area of the base is:
A = L^2.
To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).
And the height of the cube is also L.
Then the volume is:
V = L*a = L^3