Answer:
We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches.
Step-by-step explanation:
90% Confidence interval means that out of 100 different samples, for example, 90 out of 100 confidence intervals with include the true mean value (average height).
For what value of n does startfraction 216 superscript n minus 2 baseline over (startfraction 1 over 36 endfraction superscript 3 n?
They are written in term of power to the base of a function. The value of n that will make both expression equal is 2/9
Exponential expressionThey are written in term of power to the base of a function. Given the expression below:
[tex]216^{n-2}=\frac{1}{36}^{3n}[/tex]
This can be further simplified as:
[tex]6^3^{n-2}=(6^{-2})^{3n}\\6^{3n-2}=6^{-6n}[/tex]
Cancel the base to have:
3n-2 = -6n
3n+6n = 2
9n = 2
n = 2/9
Hence the value of n that will make both expression equal is 2/9
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Find the zeros of the function.
y = (x + 1)(x − 3)(x - 6)
If 6 hotdogs cost $ 18, then what is the cost for each hotdog
Answer:
each hot dog costs $3
Step-by-step explanation:
$18÷6 hotdogs=$3 or $3×6 hotdogs=$18
AM I CORRECT
A school is having a canned food drive. Each class is challenged to collect 190 cans. If there are c classes in the school, which equation could be used to find the total number of cans, T, the school will collect if each class meets the challenge?
This answer does look right to me.
The number of cans the school will collect is T = 190 c.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
Each class is challenged to collect 190 cans.
If there are c classes in the school.
Then, the number of Cans can be collected is:
= Number of classes x number of cans each class collect
= c x 190
= 190 c
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please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
======================================================
Explanation:
See the diagram below.
The diagram shows we have a right triangle with these side lengths:
a = 8 metersb = 5.5 metersc = unknown hypotenuseWe'll use the pythagorean theorem to find c
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(8)^2 + (5.5)^2}\\\\c = \sqrt{94.25}\\\\c \approx 9.7082\\\\c \approx 9.7\\\\[/tex]
Mrs. Durham and Brett are about 9.7 meters apart.
A diagonal of a cube measures 15 cm and the length of an edge of the cube is startroot 75 endroot cm. what is the length of the diagonal of a face of the cube? round to the nearest tenth. 7.1 cm 12.2 cm 13 cm 15 cm
A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
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Answer: ITS B (12.2)
Step-by-step explanation:
I am the lizard king, I can do anything.
Please help!! Last question!
Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
There is no flaw in the steps. Hence, the correct option is A.
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No 1 a b c d
PLS fast
a) a= 2×40 = 160°
b) b = 60/2 = 30°
c) c = 40°
d) d = 115°
Sally has just finished her thirty-fifth year with her company and is getting ready to retire. during her thirty-five years, sally’s average annual salary was $45,603. how much can sally expect to receive from social security annually if she were to retire today? (assume she will receive 42% of her average annual salary.) a. $191.53 b. $1,915.33 c. $19,153.26 d. $191,532.60
Using proportions, the amount that Sally can expect to receive from social security annually is given by:
c. $19,153.26.
What is a proportion?A proportion is a fraction of a total amount, and this fraction can also represent a percentage of the total amount.
She is expected to receive 42% of her average annual salary of $45,603, hence, considering 0.42 is equivalent to 42%:
A = 0.42 x 45603 = $19,153.26.
Which means that option C is correct.
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x^2 - 3xb - 40b^2 factor the trinomi
Answer:
− (8b − x) (5b + x)
Step-by-step explanation:
1
maining:
out of
question
Is it a Function?
Instructions: Determine whether the following relationship is a function.
You're headed to the bank with two friends to exchange your American dollars for the South
African currency rand, for an upcoming trip to South Africa. You and one friend both plan to
exchange $100. If you go first and then your friend goes right after you, think about what you
would expect about the amount of rand you both get back. Does the relationship between dollars
turned in and rand received represent a function?
Is it a function? No
Check
The relationship between dollars delivered and rand received represents a function.
What is a function?Corresponds to a mathematical relationship between two variables, x and y, where the set of x values is associated with a y value. Being expressed by the formula:
y = f(x)Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.
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The volume of a sphere is 9,198.m3 To the nearest ,meter what is the radius of the sphere? Use 3.14 for .pi
Using the given information, the radius of the sphere to the nearest meter is 13m
Calculating Volume of a sphereFrom the question, we are to determine the radius of the sphere
Using the formula for calculating the volume of a sphere,
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the given information,
V = 9198 m³
Then,
[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]
[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]
[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]
[tex]4 \times 3.14 \times r^{3} = 27594[/tex]
[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]
[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]
r = 12.99995 m
r ≅ 13 m
Hence, the radius of the sphere to the nearest meter is 13m.
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A box contains 20 uckets mmbered from 1 to 20 tetor de candowm. find the probability it is divisible by 3 and 4
Answer:
that 2 out of 20 ratio you have 18 to 1 odds of getting these
A class made a line plot of the weight of each science book in pounds. a line plot. short description, a line plot. ,long description,
the line plot is entitled weight of science books in pounds. it goes from 2 pounds to 3 pounds with marks at some numbers:
one mark is at two and one eighth. two marks are at two and one fourth. one mark is at two and three eighths. two marks are at two and one half. three marks are at two and three fourths. one mark is at two and seven eighths. question
sonya carried ,begin emphasis,all,end emphasis, the books weighing 2 and one-fourth pounds and 2 and three-eighths pounds to the library. how many pounds of books did sonya carry?
The total pounds of science books that sanya carried is; 6⁷/₈ pounds
How to Interpret Line Plots?
From the attached Line Plot, we can see the book weights.
Now, we are told that Sanya carried all the books weighing 2¹/₄ pounds and 2³/₈ pounds.
From the line plot we see that;
Number of books weighing 2¹/₄ pounds are 2 books
Number of books weighing 2³/₈ pounds is 1 book
Thus;
Total weight of books carried by Sanya = 2(2¹/₄) + 1(2³/₈)
Total weight = 4¹/₂ + 2³/₈
Total Weight = 6⁷/₈ pounds
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In American football, a touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points. If a team scored a total of 24 points, how many combinations of plays is possible
The number of combinations of plays that is possible will be 2.
How to calculate the combination?Let the number of combinations be represented by x.
From the information given, we are informed that the touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points.
Therefore, this will be:
7x + 3x + 2x = 24
12x = 24
x = 24/12
x = 2
Therefore, there are 2 combinations.
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Which of the following shows the interval of the domain where
the function f(x)=x2 - 2x+5 is decreasing?
The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.
What are domain and range?The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = x² - 2x + 5
The equation can be written as
f(x) = x² - 2x + 1 + 4
f(x) = (x - 1)² + 4
Then the domain of the function where the function is decreasing will be (-∞, 1).
Then the correct option is D.
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Is 23/√3 a rational number? Again is 23 over root 3 a rational or irrational number.
Answer: irrational number
Step-by-step explanation:
Let us write it out.
[tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]
Next, we will define ratoinal and irrational.
A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.
An irrational number is any number that cannot be turned into a fraction.
Let us see which category the number given falls into.
[tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]
This means [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.
Work out the equation of the line which has a gradient of 1/2 and passes through the point (2, -5)
Answer:
y=½x-6
Step-by-step explanation:
m= ½
equation of the line: y-y1=m(x-x1)
y+5=½(x-2)
y=½x-6
Answer:
[tex]y =\dfrac{1}{2}x-6[/tex]
Step-by-step explanation:
Point-slope formula
[tex]y-y_1=m(x-x_1)[/tex]
where:
[tex]m[/tex] = slope (gradient)[tex](x_1,y_1)[/tex] = point on the lineGiven:
Gradient (m) = ¹/₂Point = (2, -5)Substitute the given values into the formula:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}[/tex]
41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.
An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table is shown.
The exponential equation is given as
y = abˣ
Then at x = 1, y will be 35. Then we have
35 = ab ...1
Then at x = 2, y will be 245. Then we have
245 = ab² ...2
On solving equations 1 and 2. Then we have
a = 5 and b = 7
Then the exponential function will be
y = 5 (7)ˣ
Then the population after 5 days will be
y = 5 (7)⁵
y = 5 x 16807
y = 84035
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PLEASE HELP ASAP, WOULD APPRECIATE IF YOU SHOWED STEPS
Answer:
abbbcab(a) [tex]7^{4}[/tex] (b) [tex](\frac{4}{9}) ^{17}[/tex] (c) [tex]4^{-4}[/tex] (d) [tex]8^{-3}[/tex]Step-by-step explanation:
1. The moment he started: 3 bacteria
1st hour: 3*2 bacteria = 3*[tex]2^{1}[/tex] bacteria
2nd hour: 3*2*2 bacteria = 3*[tex]2^{2}[/tex] bacteria
3rd hour: 3*2*2*2 bacteria = 3*[tex]2^{3}[/tex] bacteria
etc.
Each hour the number of bacteria multiplies by 2 (the power of 2 is increased by 1), therefore, [tex]B=3*(2)^{n}[/tex]
2. Exponential function has the form of [tex]f(x)=ab^{x}[/tex]
if a is greater than 0 and b is greater than 1, then it's exponential growth.
The answer is:
[tex]y=4^{x}[/tex] (4 > 1)
3. If smth increases by 2.5% each time, that means that at first you had 100% and then it became 100%+2.5% = 102.5%. So each time we multiply the value by 1.025 (100*1.025=102.5).
4. Linear equation form: [tex]y=ax+b[/tex]
Quadratic equation form: [tex]y=ax^{2} + bx + c[/tex]
Exponential equation form: [tex]y=ab^{x}[/tex]
In this case, a = 3.8, b = -5.5, c = -4.8
5. (a) square root
(b) linear
(c) exponential
(d) quadratic
6. Each year the car's worth is multiplied by 0.82 (82%). Therefore, after n years, the value will be: V = 27 500 * [tex]0.82^{n}[/tex]
7. Neither first, nor second differences are constant in case of an exponential relation, because we do not add but multiply.
Ex. [tex]y=2^{x}[/tex]
values: 1 2 4 8 16 32...
1st diff: 1 2 4 8 16...
2nd diff: 1 2 4 8...
8. (a) [tex]7^{11} / 7^{7} = 7^{11-7} = 7^{4}[/tex]
(b) [tex](\frac{4}{9})^{12} *(\frac{4}{9})^{5} =(\frac{4}{9} )^{12+5}=(\frac{4}{9})^{17}[/tex]
(c) [tex]4^{11} / (4^{5})^{3} =4^{11} / 4^{5*3}=4^{11} /4^{15}=4^{11-15}=4^{-4}[/tex]
(d) [tex]8^{-6}*8^{3}=8^{-6+3}=8^{-3}[/tex]
What digit makes this statement true?
Divisibility
answer
1. 864,960
is the answer
Step-by-step explanation:
I'm correct because I'm a teacher
Rachel's nails grow at a rate of 1/8 inch per week. How long will take her nails to grow 6 inches?
Answer:
48 weeks
Step-by-step explanation:
This is a division problem.
6 / (1/8) = 6/1 × 8/1 = 48
Answer: 48 weeks
PLEASE HELP MI AMOR ILL LOVE YOU FORVER I SWEAR
Answer:
x = 8
z = 65
Step-by-step explanation:
Through various rules, we are able to assert: (6x + 67)° = 115°.
Now, we want to solve for x:
6x + 67 = 115
6x = 48
x = 8
We know that z° is equal to the complement of (6x + 67)°, and together these must sum to 180°. Therefore, we can simply take 180° - 115° to find that z° = 65°.
Sela is making 400 scones.
she use butter ,sugar and flour in the ratio 2:1:9
here the cost of those ingredients
butter-2.50 per 500g
sugar-1.60 per kilogram
flour-60p per 1.5kg
the total mass of the butter ,sugar and flour in each scone is 30g
work out the total cost of these ingredients for the 400
scones
Answer:
£15.20
Step-by-step explanation:
butter : sugar : flour = 2 : 1 : 9
Total mass for 1 recipe = 30 g
2 + 1 + 9 = 12
12x = 30
x = 30/12
x = 2.5
For 1 scone:
butter = 2x = 2(2.5) g = 5 g
sugar = x = 2.5 g
flour = 9x = 9(2.5) g = 22.5 g
Cost for 1 scone:
butter: 5 g × £2.50/(500 g) = £0.025
sugar: 2.5 g × £1.60/(1000 g) = £0.004
flour: 22.5 g × £0.6/(1500 g) = £0.009
Cost for 1 recipe = £0.025 + £0.004 + £0.009 = £0.038
Cost for 400 scones = 400 × £0.038 = £15.20
Answer: £15.20
What is the solution of x = 2 startroot x minus 2 endroot?
The solution to the function [tex]f(x) = 2\sqrt{x - 2}[/tex] when x = 2 is 0
How to determine the solution?The equation of the function is given as:
[tex]f(x) = 2\sqrt{x - 2}[/tex]
When x = 2, we have:
[tex]f(x) = 2\sqrt{2 - 2}[/tex]
Evaluate the difference
[tex]f(x) = 2\sqrt{0}[/tex]
Evaluate the exponent of 0
f(x) = 2 * 0
Evaluate the product
f(x) = 0
Hence, the solution to the function when x = 2 is 0
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Graph the inequality m > –2.2.
Step-by-step explanation:
I think the question should be m<-2.2 according to your number line
the answer is graphed. I hope it helps
Answer:B
Step-by-step explanation: this is because when it is greater than, it goes right, and if there is no "equal to" it is closed circle and B has a closed circle going to the right of -2.2
If an event is very likely to occur, the probability is between ____ and ____ on the probability spectrum
If an event is likely to occur, the probability that the event will occur is between 3/4 and 1.
What is the probability?Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
If the probability lies between 0 and 1/5, it is likely that the event would not occur. If the probability lies between 1/5 and 1, it is likely that the event would occur.
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Answer:
75% and 100%
Step-by-step explanation:
The probability spectrum is (the spaces are supposed to be equal):
|----------------------|--------------------|--------------------|---------------------|
0% 25% 50% 75% 100%
impossible unlikely equal likely certain
Which of the following statements best describes the lines?
121. How much sand is needed to fill a sandbox
8 feet by 6 feet to a depth of 18 inches?
A. 64 cu
B. 62 cu ft.
C. 74 cu ft.
D. 72 cu ft.
E. 68 cu ft.
Answer: The answer is D. 72 cu ft.
Step-by-step explanation:
Ram has two plots in two different places. Both are square in shapes. The side of the first field is 350m and the side of the other field is 220m. Find the total area of the fields that Ram has?
The total area of the fields that Ram has is 170,900 square meters ( 170900 m²)
Calculating the areas of squaresFrom the question, we are to determine the total area of the fields that Ram has
Since the fields are square in shapes, we will use the formula for calculating the area of a square
The area of a square can be calculated by using the formula,
A = s²
Where A is the area
and s is the side
For the first field
s = 350 m
∴ A = 350²
A = 122500 m²
For the second field
s = 220 m
∴ A = 220²
A = 48400 m²
Then,
The total area of the fields = 122500 m² + 48400 m²
The total area of the fields = 170900 m²
Hence, the total area of the fields that Ram has is 170,900 square meters ( 170900 m²)
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