Answer:
No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3
3 ÷ 2/3
= 3 × 3/2
= 9/2
= 4 1/2
Therefore, 3 divided by 2/3 is 4 1/2
Andre's reasoning is wrong.
Step-by-step explanation:
It is incorrect
Let's divide and compare the sum
3 : 2/3 = 3*3/2 = 9/2 = 4 1/2
and
There are four 2/3 fractions and one 1/3 fraction
The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2
If overline BE || overline CD , find the perimeter of triangle ACD . А 6 4 B 10 E x - 4; x - 2 y D 24 20
The perimeter of a triangle is the sum of its side lengths.
The perimeter of triangle ACD is 40 units
Start by calculating the values of x and y, using the following equivalent ratios
[tex]6 : 4 = x - 2 : x - 4[/tex]
[tex]6 : 10 = 6 + x - 2 : y[/tex]
So, we have:
[tex]6 : 4 = x - 2 : x - 4[/tex]
Express as fraction
[tex]\frac 64 = \frac{x-2}{x-4}[/tex]
Cross multiply
[tex]6x - 24 = 4x - 8[/tex]
Collect like terms
[tex]6x - 4x = 24 - 8[/tex]
[tex]2x = 16[/tex]
Divide both sides by 2
[tex]x = 8[/tex]
Also, we have:
[tex]6 : 10 = 6 + x - 2 : y[/tex]
Express as fraction
[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]
Substitute 8 for x
[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]
[tex]\frac 6{10} = \frac{12}{y}[/tex]
Cross multiply
[tex]6y = 120[/tex]
Divide both sides by 6
[tex]y = 20[/tex]
The perimeter of triangle ACD is then calculated as:
[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]
Substitute values for x and y
[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]
[tex]P =40[/tex]
Hence, the perimeter of triangle ACD is 40 units
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Please solve of r in the problem int the photo
[tex]r = \sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
Multiply both sides by 3 to get
[tex]\pi r^2h = 3V[/tex]
Then divide both sides by [tex]\pi h[/tex] and you'll get
[tex]r^2 = \dfrac{3V}{\pi h}[/tex]
To solve for r , you need to take the square root of both sides to get
[tex]\sqrt{r^2} = r = \sqrt{\dfrac{3V}{\pi h}}[/tex]
Some government leaders propose allowing oil companies to drill in currently protected lands that may be rich in oil reserves. Environmental researchers argue that drilling in such lands would be harmful to the surrounding ecosystem. To measure support for drilling in such lands, an oil company representative uses random-digit telephone dialing to contact adults in the region and measure opinion for increased drilling. One question in the survey asks, "Given that an increase in drilling could result in increased tax revenue and additional jobs to the region, would you support a proposal to allow drilling in lands currently protected from drilling?" What type of bias could be most likely affecting the survey results? This is undercoverage bias because some segments of the population will be excluded from the sample. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling. This is voluntary res
The type of bias in this survey is question-wording bias because the question is influencing the response (option D).
Question-wording bias occurs when the words selected in the question influence a specific response. Here is one example:
Do you believe a cruel practice such as bullfighting should be forbidden?In this question, the use of the word cruel qualifies bullfighting as negative, and therefore in most cases, people will answer that bullfighting should be forbidden.
This effect occurs in the question for this survey because the section given that an increase in drilling could result in increased tax revenue and additional jobs to the region indirectly states drilling is positive and therefore influences the response of those surveyed.
Note: This question is incomplete because some of the options are missing; here are the complete options:
What type of bias could be most likely affecting the survey results?
A. This is undercoverage bias because some segments of the population will be excluded from the sample.
B. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling.
C. This is voluntary response bias because those most passionate about drilling will be more likely to register an opinion.
D. This is question-wording bias because the information given at the start of the question may lead those surveyed towards a desired response.
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Solve the following proportions for v V/5=13/17
Pls help pls Pls pls pls thanks
Factor of 20 but not 10
2. Neither factors of 10 and 20?
Answer:
Step-by-step explanation:
If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?
The three consecutive terms in an AP are (k+1) ,3k and (4k+2)
We know that
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
now ,
Let a = k+1 , b = 3k and c = 4k+2
⇛3k = (k+1+4k+2)/2
⇛3k = (5k+3)/2
⇛2×3k = 5k+3
⇛6k = 5k+3
⇛ 6k-5k = 3
⇛ k = 3
The value of k = 3
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The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?
The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.
What is sampling?Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.
Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.
According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.
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What is the image of (−4,−7) after a reflection over the x-axis?
Answer:
go left for times and go down 7 .
Step-by-step explanation:
Answer:
(-4,7)
Step-by-step explanation:
I hope this helps :)
Math Practices and Problem Solving
13. Algebra In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.
The store sold 482 cameras in the month of March.
An equation is an expression that shows the relationship between two or more variables and numbers.
Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.
Since the electronics store sold 1,446 cameras in the first 3 months, hence:
3x = 1446
x = 482 cameras
The store sold 482 cameras in the month of March.
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graph the relation y=2x
What is the value of x?
Answer:
a. 125
Step-by-step explanation:
the angle labeled "x" is supplementary with the angle that has a measure of 55°
Supplementary angles add up to equal 180°
This means that x + 55 must equal 180
Note that we've just created an equation that we can use to solve for x.
We now solve for x using the equation we just created.
x + 55 = 180
subtract 55 from both sides
x = 125
The answer is a
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
There are 12 students in a class, and 7 of them will be chosen to go on a field trip. How many ways can
these students be chosen?
Answer:
So we will use combinations, as it does not matter what order they get chosen in.
The combinitoric that you will plug in to your calculator is: nCr(12,7)
Therefore, the answer is 792
You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?
Answer: I'm assuming it's 20/900 because there is 900 songs in total.
Step-by-step explanation:
The probability that your favorite song is one of the 20 songs you hear that night is 1/900.
To find the probability that your favorite song is one of the 20 songs you hear that night, we can use the concept of probability.
The total number of songs in the karaoke song book is 900. Since each song is equally likely to be picked, the probability of randomly selecting your favorite song from the entire song book is 1 out of 900, or 1/900.
Now, you will hear a total of 20 songs that night. Out of those 20 songs, you want to know the probability that your favorite song is one of them. Since there is only one favorite song, the favorable outcomes are 1.
Therefore, the probability that your favorite song is one of the 20 songs you hear that night is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 1 / 900
So, the probability that your favorite song is one of the 20 songs you hear that night is 1/900.
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What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?
Answer:
final balance = 24,634.02
compound interest = 19,634.02
Step-by-step explanation: not my answer
Twenty young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. The
equation for the line of best fit for the data is y=-315.67x + 8986.5 and the correlation coefficient is-0.951.
Select all the statements that are true based on the scatter plot and line of best-fit equation
4,000
3,500
...
3,000
2.500
,,
2,000
1,500
1,000
18
19 20
21 22 23 24 25
D. The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be on average, about $315
less than the cost of a car insurance policy for a 20-year-old.
06 The y-intercept from the line of best fit indicates that, if the linear trend holds, a car insurance policy would be 50 for a person who
is about 8,987 years old.
OcEvery 19-year-old in this group has a lower cost of car insurance than the 18-year olds
Od
The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.
Car insurance policy cost tends to decrease as the age of the driver increases.
e
The statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Given that the correlation coefficient of -0.951, it suggests that the policy cost and ages of the men as shown in the scatter plot are strongly negatively correlated.
This means that, the lower the higher the age of the men, the lesser the cost of a car insurance policy.
The slope value in the equation, y = -315.67x + 8986.5, is -315.67, which is the average cost of a car insurance policy per year.
Therefore, the statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Learn more about line of best fit on:
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A race director is preparing for an upcoming marathon and estimates that the mean time to
finish is 310 minutes. Assume
that the times are normally distributed, with a standard deviation of 50 minutes.
Use a standard normal table or a calculator to find the percentage of times that are longer than 236 minutes. For your
intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example
98.23%).
93.06% of the race is longer than 236 minutes.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 310, σ = 50
For x > 236:
[tex]z=\frac{236-310}{50}=-1.48[/tex]
From the normal distribution table:
P(x > 236) = P(z > -1.48) = 1 - P(z < -1.48) = 1 - 0.0694 = 0.9306 = 93.06%
93.06% of the race is longer than 236 minutes.
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Three more than a positive number is twenty less than it’s square. What is the number ?
Answer:
the +ve no. = 2
Step-by-step explanation:
let the number be x - 3
three more than a positive number = x
acc. to condition
x^{2}x
2
- 20 = x
x^{2} - x - 20 = 0x
2
−x−20=0
x^{2} - 5x + 4x - 20 = 0x
2
−5x+4x−20=0
x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0
(x+4)(x-5) = 0(x+4)(x−5)=0
Case 1
x + 4 = 0x+4=0
x = -4x=−4
the Number cannot be negative because the condition given in question
Case 2
x - 5 = 0x−5=0
x = 5x=5
Hence, the positive number
= x - 3=x−3
= 5 - 3=5−3
= 2=2 hope i help you
Pls answer correctly thnks
Solve the linear equation by elimination:
-5x+3y=10
2x+5y=-35
And explain
Thanks!
[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]
[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]
Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
29.455
Step-by-step explanation:
add the inches of fabric together and divide by the total number of players and coaches
if I set off for the market,a distance of 11km at 10am. And walk at an average speed of 3km per hour,At what time will I reach the market?
Answer:
At 1:40 pm you will reach the market.
Step-by-step explanation:
Distance (d) = 11 km
Average speed (v) = 3 km/h
Formula:
[tex] \rm Average \: speed = \dfrac{Distance}{Time} \\ \\ \rm 3 = \dfrac{11}{t} \\ \\ \rm t = \dfrac{11}{3} \\ \\ \rm t = 3 \frac{2}{3} \\ \\ \rm t = 3 hr \: 40min[/tex]
It will take 3 hours 40 minutes to reach the market.
So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).
MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
Answer:
B = $140
Step-by-step explanation:
for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is [tex]\frac{25}{1}[/tex]
we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money
for part B, y=25x+65
so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140
A cube has a surface area of 54cm^2 Find the side length, x, of the cube
we know that the area of a cube is its side cubed
So, x^3 = 54(i think it should be 64)
x = 4 (if it is 64)
if it is 54 then we will take the cube root of 54
Answer:
3
Step-by-step explanation:
6a^2=54
a^2=54/6
a=root 9
a=3
Directions on a box of 5 cups of wallpaper paste are to mix the contents with 4 qt of water. To mix a smaller batch using 1 cup of paste, how much water (in ounces) should be added? note that 1qt=32oz
Step-by-step explanation:
For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.
hope that help you
Write 6,070,000 in expanded form.
Answer:
6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0
bonus : word form: six million seventy thousand
Step-by-step explanation:
hope this helps! have a g'day
squared root of -100 =
Step-by-step explanation:
Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.
Expand ; 3(1-x/2)^2
Answer:
[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.
• -3.5
Answer:
Solution:
o -3.5
As number is negative so sign bit notation is 1.
o First convert 3.5 into binary Binary of 3.5 is 011.1
Mantissa field:
0111
radix in .0111 must be moved 3 bit to the right to obtain
011.1
So exponent is positive 3…
Final 8 bit floating point notation is
1
1
1
1
0
1
1
1
Step-by-step explanation:
What is the inverse of the function g(x)=7x+3/x-5?
Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7