The weight of the third book is approximately 5.33 grams.
How to calculate the valueAccording to the given information:
The average weight of the 3 books is 3 grams.
To find the average weight, we sum up the weights of all the books and divide by the total number of books:
(1/3 + 5/2 + x) / 3 = 3
Now we can solve this equation to find the weight of the third book:
(1/3 + 5/2 + x) = 3 * 3
(1/3 + 5/2 + x) = 9
(1 + 15 + 6x) / 6 = 9
(22 + 6x) / 6 = 9
22 + 6x = 54
6x = 54 - 22
6x = 32
x = 32 / 6
x ≈ 5.33
Therefore, the weight of the third book is approximately 5.33 grams.
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The average weight of 3 books is 3gm, one book weighs 1/3 gm and the second 5/2gm. What is the weight of the third?
What is the arc measure of PQ?
Answer:
47.1
Step-by-step explanation:
l= rø
or, l= 18 × 5π/6
or, l= 15π
l = 47.1
Please help me if you can!
The hypotenuse of a right triangle is 12.4 ft. One of the other two sides is 5.8 ft How
long is the third side?
1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?
Can someone please help me!!!
John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?
Answer:
$43.20
Step-by-step explanation:
20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20
On his last 5 math tests, Gilbert earned: 94, 72, 83, 94, 90. What was his average score? ( Report your answer to the tenths place).
Answer:
Average of Gilbert in last 5 test = 86.6
Step-by-step explanation:
Given:
Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90
Find:
Average of Gilbert in last 5 test
Computation:
Average value = Sum of all events / Total number of events
Average of Gilbert in last 5 test = Sum of all last results / Number of results
Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5
Average of Gilbert in last 5 test = [433] / 5
Average of Gilbert in last 5 test = 86.6
please help me i’ll give brainliest
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
d
Step-by-step explanation:
it would be a parabola not linear
Help me to find the surface area pls :( :(
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation:
What is integration of 3x^2
Use the scale to find the actual area of Janets bedroom in square feet!
Answer: 17 feet long 14 feet wide
The model has a scale of 1 : 16 so you can use a calculator like this one to find the exact length. https://www.ginifab.com/feeds/cm_to_inch/scale_converter.html
Solve for x. Assume that lines which appear tangent are tangent.
Presumably, x is standing in for the question mark.
The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.
So we have
angle DFE = 1/2 (arc CV + arc DE)
125° = 1/2 (x + 200°)
250° = x + 200°
x = 50°
Which triangles are similar to triangle ABC ?
Answer:
The answer is A
Step-by-step explanation:
Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.
Help me out
Answer required
Answer:
a. rational
b. irrational
c. irrational
d. rational
e. rational
f. rational
plz mark me as brainliest
[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]
[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]
[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]
[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]
[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]
[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]
[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]
Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.
Which number line shows the solutions of 13x−8≥x+6?
Answer:
the one that shows -21 in the line
Step-by-step explanation:
The value of the variable x is greater than or equal to 7/6 on the number line.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
13x - 8 ≥ x + 6
Simplify the equation, then the value of x will be
13x - 8 ≥ x + 6
13x - x ≥ 8 + 6
12x ≥ 14
x ≥ 14 / 12
x ≥ 7/6
The value of the variable x is greater than or equal to 7/6 on the number line.
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The probability that Ismael makes a basket is 7/10. If he shoots 100 baskets, how many can he expect to make?
Answer:
70 baskets
Step-by-step explanation:
Let b be the number of baskets he will make if he shoots 100 baskets.
[tex]\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\[/tex]
Solve x2 - 8x - 9 = 0.
Rewrite the equation so that it is of the form
x2 + bx = c.
Answer:
x2-8x=9
Step-by-step explanation:
you move the negative nine to the other side of the equals to become positive
Mr Soto bought some dvds each DVD cost 13.55 if Mr Soto did not spend more Thales 75$ which inequality could be used to find d the number of DVDs Mr. Soto bought
Answer:
c
Step-by-step explanation:
C is the only equality that no matter what, the value would be $75 or less
Select the correct comparison
Answer:
b
Step-by-step explanation:
Multiply (2-5i)(2+5i)
Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
I NEED HELP PLESE I BEG YOUUUU
Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12
Answer:
x(x+1) = 12
Step-by-step explanation:
If a number is x then it's consecutive number will be x + 1.
And their product x(x+1)
solve the proportion for x. 12/x = 15/24
Answer:
i think x is 19.2
Step-by-step explanation:
solve x by cross multiplying
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
Find the value of x.
(a)
(10.7)" = 2
3x92x1 = 27*
(b)
Step-by-step explanation:
where is x in the question
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
Root of forty rational root of forty times negative one irrational, root of forty times negative one rational, root of forty plus negative one irrational.
I believe this is right because rational should be positive and ir should be negative.......
A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)
Answer:
the answer is D
Step-by-step explanation:
i got it right and so would you ;)
The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.
How to calculate confidence interval for population mean ?If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.
Then, we get the confidence interval in between the limits;
[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]
The confidence interval for the mean of the population is (40.5, 41.5).
Hence,option D is correct.
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