I'm adding weight recently
Driving speed s-4/s2-9s+20 miles per hour. Distance covers in s-5/4 hours
The value of distance cover is, 1/4 miles.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Driving speed = (s - 4) / (s²-9s+20)
And, Time = (s - 5) / 4
Now, We know that;
⇒ Speed = Distance / Time
⇒ Distance = Speed × Time
Substitute the given values, we get;
⇒ Distance = (s - 4) / (s² - 9s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s² - 5s - 4s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s (s - 5) - 4 (s - 5)) × (s - 5) / 4
⇒ Distance = (s - 4) / (s - 4) (s - 5) × (s - 5) / 4
⇒ Distance = 1/4 miles
Thus, The value of distance cover is, 1/4 miles.
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Zachary recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
7
14
15
9
Eighth Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
2
15
2
11
Based on these results, express the probability that an eighth grader chosen at
random will play the drums as a percent to the nearest whole number.
Percent to the nearest whole number = 7%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Probability = (Number of possible outcomes)/(Total number of outcomes)
Total number of outcomes = 2 + 15 + 2 + 11 = 30
Number of possible outcomes = 2
Probability = 2/30 = 1/15 = 0.0666
Percent to the nearest whole number = 0.0666 *100 = 7%
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Answer:7
Step-by-step explanation:
29-(11-2³)+6²÷4 simplify each Expression
The simplified form of the expression 29 - ( 11 - 2³ ) + 6² ÷ 4 is 35
What is the simplified form of the given expression?Given the expression in the question;
29 - ( 11 - 2³ ) + 6² ÷ 4
To simply, replace 2 raised to the power of 3 with 8 and 6 raised to the power of 2 by 36
29 - ( 11 - 2³ ) + 6² ÷ 4
29 - ( 11 - 8 ) + 36 ÷ 4
Now, remove the parenthesis by performing the operation inside the parenthesis.
29 - ( 11 - 8 ) + 36 ÷ 4
29 - 3 + 36 ÷ 4
Now, divide 36 by 4
29 - 3 + 36 ÷ 4
29 - 3 + 9
Next, add -3 and 9
29 + 6
Add 29 and 6
35
Therefore, 35 is the simplified form of the expression.
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Compare -2.3 and -8/3 using symbols <, >, or =.
₋2.3 < ₋8/3 is the correct answer.
Given, we need to compare the terms.
₋8/3 = ₋2.67
therefore, 2.3 is less than 2.667
hence we form it as ₋2.3 < ₋2.67
we form: ₋2.3 < ₋8/3
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Find the value of p.
-25 = -4p + 19
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?
a
(x2 ‒ 7)(x ‒ 11)
b
(x2 ‒ 7)(x + 11)
c
(x2 ‒ 11)(x + 7)
d
(x2 ‒ 11)(x ‒ 7)
Answer:
A. \((x^{2}-7)\cdot (x-11)\)
Step-by-step explanation:
The third order polynomial is factored herein:
\(x^{2}\cdot (x-11) - 7\cdot (x-11)\)
\((x^{2}-7)\cdot (x-11)\)
Which represents answer A.
Country A has an exponential growth rate of 3.6% per year. The population is currently 4,265,000, and the land area of Country A is 22,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
This will happen in blank years.
(round to the nearest integer)
Answer:
t = 248.18 years
Step-by-step explanation:
Continuous exponential growth is described with:
P(t) = P0e^(rt), where
P0 = 5,549,000 is the initial population size.
r = 0.033 is the annual interest rate in decimal form
t = is the time in years (we need to find)
P(t) = 20,000,000,000 is the population size after t years (1 person for every square yard of land mean there will be 20,000,000,000 people)
P0e^(rt) = P(t)
5,549,000e^(0.033t) = 20,000,000,000
e^(0.033t) = 20,000,000,000/5,549,000
t = (1/0.033) ln(20,000,000,000/5,549,000)
t = 248.18 years
Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line
Answer:
The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.
Step-by-step explanation:
We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.
Let X = Number of baseballs having straight stitching
The above situation can be represented through the binomial distribution;
\(P(X = r) = \binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.......\)
where, n = number of samples (trials) taken = 7 baseballs
r = number of success = exactly 5
p = probbaility of success which in our question is the probability
that baseballs have straight stitching, i.e.; p = 89.4%
So, X ~ Binom(n = 7, p = 0.894)
Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)
P(X = 5) = \(\binom{7}{5} \times 0.894^{5}\times (1-0.894)^{7-5}\)
= \(21 \times 0.894^{5}\times 0.106^{2}\)
= 0.1347 or 13.47%
Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.
A bucket contains six white balls and five red balls. A sample of four balls is selected
at random from the bucket, without replacement. What is the probability that the
sample contains...
Exactly two white balls and two red balls?
At least two white balls?
To solve this problem, we can use the formula for probability:
P(event) = number of favorable outcomes / total number of outcomes
First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:
11C4 = (11!)/(4!(11-4)!) = 330
where nCr is the number of combinations of n things taken r at a time.
Now let's find the number of favorable outcomes for each part of the problem.
Part 1: Exactly two white balls and two red balls
To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:
6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150
So the probability of selecting exactly two white balls and two red balls is:
P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)
Part 2: At least two white balls
To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.
The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.
To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:
6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100
So the total number of favorable outcomes for selecting at least two white balls is:
150 + 100 = 250
And the probability of selecting at least two white balls is:
P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)
Which inequality is equivalent to the given inequality? -4(x+7)< 3(x-2)
An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)
To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.
Let's simplify the given inequality step by step:
\(-4(x + 7) < 3(x - 2)\)
Expanding both sides:
\(-4x - 28 < 3x - 6\)
Grouping like terms:
\(-4x - 3x < -6 + 28\)
Simplifying:
\(-7x < 22\)
To maintain the direction of the inequality, we need to multiply both sides by -1.
However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.
Therefore, we need to flip the inequality sign:
\(7x > -22\)
Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is
\(7x > -22.\)
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The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 10 feet
square root of 20 feet
square root of 52 feet
square root of 104 feet
The distance from Maria's desk to Monique's desk is \(2\sqrt{13}\)
Given,
In the question:
Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5).
To find the distance from Maria's desk to Monique's desk.
Now, According to the question:
We know that :
The formula of Distance:
\(\sqrt{(x_{2} -x_{1} )^2+(y_{2}-y_{1} )^2}\)
Substitute (2, -1) and (-2, 5) into distance formula:
\(\sqrt{(-2-2)^2+(5+1)^2}\)
Calculate:
\(\sqrt{(-4)^2+(6)^2}\)
\(\sqrt{16+36}\\ \\\sqrt{52}\)
= \(2\sqrt{13}\)
Hence, The distance from Maria's desk to Monique's desk is \(2\sqrt{13}\)
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Answer: square root of 52
Step-by-step explanation:
did the practice test
The graphs below have the same shape. What is the equation of the blue
graph?
F(X) = x2
G(X) = ?
A. G(X) = x2 + 4
B. G(X) = x2-4
C. G(X) = (x+4)2
D. G(x) = (x-4)2
Answer:D
Step-by-step explanation:
The blue graph is a 4 unit horizontal shift of the red graph. The correct equation of g(x) = \((x-4)^{2}\).
What is horizontal shift?Given a function f , a new function g(x)=f(x−h) , where h is a constant, is a horizontal shift of the function f . If h is positive, the graph will shift right. If h is negative, the graph will shift left.
Thus, since, f(x) has shifted 4 units to the right horizontally, the correct equation of g(x) = \((x-4)^{2}\).
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helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
Proportional ratios are like equivalent fractions, but
Answer:
what is the question?
Step-by-step explanation:
In 2022, a random sample of UGA students found that they slept an average of 7.43 hours per night. The margin of error for a 90% confidence interval was reported as 1.32 hours.
(a) What is the lower limit of this 90% confidence interval?
lower limit = (2 decimal places)
(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, approximately how many of these confidence intervals would contain the population mean?
(whole number)
Step-by-step explanation:
(a) The lower limit of the 90% confidence interval can be calculated using the formula:
lower limit = sample mean - margin of error
Plugging in the given values, we have:
lower limit = 7.43 - 1.32
lower limit = 6.11 (rounded to 2 decimal places)
Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.
(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.
Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:
500 * 0.9 = 450
So, approximately 450 of these confidence intervals would contain the population mean.
Can someone help with this question?✨
X = 13 is length of Hypotenuse by use of Pythagoras's Theorem.
What is the Pythagorean theorem ?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.In this triangle use Pythagoras theorem
Let Hypotenuse is x .
x² = 12² + 5²
x² = 144 + 25
x = √169
x = 13
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-4x=76 x equals _-____________________________________________________________________________________________________________________________________________________________--
The value of x in the equation -4x = 76 is 19.
What is equation?The equals sign is used in equations to indicate the equality of two expressions in a formula.
Given:
-4x = 76,
-x = 76 / 4,
x = -19
Therefore, the value of x in the equation -4x = 76 is 19.
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What is 35 degree angle in standard position?
After using ruler and following the steps described below
We get the standard position of 35 degree.
The given angle is = 35 degree
To draw standard position of angle:
We proceed it to draw by ruler
So, in order to get position,
Follow the following steps:
1: Draw a straight line with your ruler.
2: Place your protractor on the line and align the base of the protractor with the line.
3: Find the 35 degree mark on the protractor and make a small mark on the line at that point.
4: Move your protractor to the mark you just made.
5: Align the base of the protractor with the line and make another small mark on the line at the 35 degree mark.
6: Draw a straight line connecting the two points you just marked.
And there you have it! A 35 degree angle drawn on paper.
And after following these steps we get the standard potion angle 35 degree.
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PLEASE HELP FAST write an inequality as a word problem and solve it
If Addison owns a take out and for every delivery he charges $10, he wants to make at least $250 as daily sales figure. How much delivery must he make daily in order to achieve this?
\(250\ge10x\)This is because when you see the expression "at least," that implies that Addison wants to make $250 or anything above that, and nothing less than that. The expressions at least, at most, greater than and less than all denote an inequality.
At least 250 as sales means Addison wants to make 250 or anything greater than that.
The solution therefore is shown below;
\(\begin{gathered} 250\ge10x \\ \text{Divide both sides of the equation by 1}0 \\ 25\ge x \\ x\leq25 \end{gathered}\)If x is less than or equal to 25 (as shown in the solution), this means Addison must make 25 deliveries daily
Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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Which unit rate corresponded to the proportional relationship shown in the graph?
Step-by-step explanation:
the graph is a picture designed to express words, particularly the connection between two or more quantities. You can see the graph . A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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Help please I’m begging pls thank you very much
Answer:
2 × n - 1 = x
Step-by-step explanation:
1 times 2 is 2-1 is 1.
2 times 2 is 4-1 is 3.
And so on.
1 TO 7 2 TO 5 3 TO 1 4 TO 3
PLZ HELP MEEEEEEEEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
its makes most sense
Answer:
c. because i look it ☝ done plzzz help me
stuck with these questions
Answer:
1st one is C and the second 1 is F
Step-by-step explanation:
5. If 2x - y = 10 then for x= 8 what is the value of y?
a) 7
b) 6
C) 5
d) 4
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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There is a probability of 0.2 that Bonnie's team will win a game of cricket.
If Bonnie's team plays 400 games of cricket, how many times would you expect them to win?
Answer:
80 games
Step-by-step explanation:
probability x number of trials
0.2 x 400 = 80 games
Carmen and her friends go out for lunch and leave a 20% tip. How much was the bill if they left a $17.64 tip?