Answer:
3.22
Step-by-step explanation:
log(18×100)
log18+log100
1.22+2
3.22
The magnitude of this earthquake using the Richter scale is approximately 3.3 (rounded to the nearest tenth).
How to determine the magnitude of the earthquakeTo calculate the magnitude of the earthquake using the Richter scale, we can use the formula
R = log(A/A₀),
where
A is the amplitude of the earthquake wave, and
A₀ is the amplitude of the standard wave.
If the earthquake wave's amplitude is 1800 times as great as the smallest detectable wave, this means A/A₀ = 1800.
Therefore, the magnitude of the earthquake (R) would be:
R = log(1800)
Let's calculate it:
R ≈ log₁₀(1800) ≈ 3.255
So, if we round this to the nearest tenth, the earthquake's magnitude on the Richter scale would be approximately 3.3.
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Amy has conducted a one-tailed hypothesis test to see if the average starting salary for recent State University graduates is greater than $50,000. She calculated a test statistic of 2.06. Her sample consisted of 200 alumni. What is the p-value for Amy's result
Considering the situation described, the p-value for Amy's result is of 0.0203.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is not greater than $50,000, that is:
[tex]H_0: \mu \leq 50000[/tex]
At the alternative hypotheses, it is tested if the mean is greater, hence:
[tex]H_1: \mu > \leq 50000[/tex]
We are testing if the mean is greater than a value, hence we have a right-tailed test. Using a right-tailed test with t = 2.06 and 200 - 1 = 199 df, the p-value is of 0.0203.
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Select the quotient that is less than 1?
2.805 ÷ 2.58
1.001 ÷ 1.01
0.46 ÷ 0.406
Hello! I'm here to help.
The question asks, "What quotient is less than 1?"The answer is B. ✔
Why is B. the answer?B. is correct because...
[tex]2.805 / 2.58 = 1.08[/tex]
[tex]0.46 / 0.406 = 1.13[/tex]
[tex]1.001 / 1.01 =[/tex] 0.99
That being said, the correct option is B.
Simply 6-4 root 3/ 6+4 root 3 by ratnolising the denominator
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question asks us to rationalise the given expression !
so let's start ~
[tex] \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \\ \\ \implies \: \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \: \times \: \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} } = \frac{(6 - 4 \sqrt{3}) {}^{2} }{6 {}^{2} - 4 \sqrt{3} {}^{2} } \\ \\ \implies \frac{\: 6 {}^{2} + 4 \sqrt{3} {}^{2} - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\ \\ \implies \: \frac{36 + 48 - 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{84 + 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{ \cancel{- 12}(7 - 4 \sqrt{3} )}{ \cancel{ - 12} } \\ \\ \implies \: 7 - 4 \sqrt{3} [/tex]
hope helpful :D
Answer:
-7+4√3.
Step-by-step explanation:
6-4√3 / 6+4√3 Multiply top and bottom by 6-4√3:-
= (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)
= (36-24√3- 24√3+48) / (36-48)
= (36-48√3+48) / (-12)
= -3 +4√3 - 4
= -7 + 4√3.
Approximately 3.5% of all children born in a certain region are from multiple births (that is, twins, triplets, etc.). A random sample of 20 children born in the region will be selected. What is the probability that the sample will have exactly 3 children who are from multiple births
=======================================================
Explanation:
n = 20 is the sample size
p = 0.035 is the probability of selecting someone who is from multiple births (twins, triplets, etc)
Either someone is a twin/triplet/etc or they aren't. This two option nature is a strong implication we have a binomial probability.
The binomial probability formula is
B(x) = (n C x)*(p)^x*(1-p)^(n-x)
where x is the number of successes and the n C x refers to the nCr combination formula.
We want to know the value of B(3), ie the value of B(x) when we have exactly x = 3 children from multiple births.
------------------
B(x) = (n C x)*(p)^x*(1-p)^(n-x)
B(3) = (20 C 3)*(0.035)^3*(1-0.035)^(20-3)
B(3) = (1140)*(0.035)^3*(0.965)^(17)
B(3) = 0.026673
There's roughly a 2.6673% chance of the 20 person sample having exactly 3 children who are from multiple births.
Side note: You can compute 20C3 = 1140 using the conventional nCr formula, or you can use Pascal's Triangle as an alternative route.
help me please!!
i need the answer now:(
Answer:
Step-by-step
Let us assume that the third leg is X. So, X^2 + 2^2 = 5^2.X^2 = 25 - 4.X^2 = 21.X = root 21.
a right triangle, hypotenuse=5 cm, one leg=2 cm, the other leg=xApplying the Pythagorean theorem:5^2=2^2+x^2, 25=4+x^2,x^2=25–4=21, x=sqrt(21), x=4,58 cmThe measurement of the other leg is 4,58 cm
Which dimensions can create more than one triangle? three angles measuring 25 degrees, 65 degrees, and 90 degrees three angles measuring 50 degrees, 50 degrees, and 50 degrees three sides measuring 5 in., 12 in., and 13 in. three sides measuring 4 ft, 8 ft, and 10 ft
Answer:
angles measuring 25,65, and 90 can create more than one triangle, as angles can be same it can create similar triangles.
Answer:
a
Step-by-step explanation:
What is the perimeter of a triangle? How can you find a triangle's perimeter?
Answer:
Perimeter of a triangle is the length that borders a triangle, you would just have to add all the side length's up
Step-by-step explanation:
Samantha is solving the linear equation 15+ 5x - 9 = 5x + 8 - 4x. Her next two steps are
6 + 5x = x + 8
4x = 2
Select the statement that correctly interprets Samantha's solution.
A
The solution is x = 1
The solution is the ordered pair (4,2).
C
There is no solution since 4x = 2 is a false statement.
There are infinitely many solutions since 4x = 2 is a false statement.
Answer:
Correct!
Step-by-step explanation:
The solution is x = 1
Marianna runs 1.2 km.
Ian runs 25% further than Marianna.
Work out how far Ian runs.
Give your answer in metres
Fraction are ratios of two integers. Lans have covered 1.5km if he ran 25% further than Marianna.
Ratio and proportionFraction are ratios of two integers. Given the following parameters
Total distance covered by Marianna = 1.2km
If Ian runs 25% further than Marianna, the total distance covered by lan is expressed as:
Total distance covered by Lan .= 1.25 * 1.2
Total distance covered by Lan = 1.5km
Hence Lans have covered 1.5km if he ran 25% further than Marianna.
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Tell us this if you have a job or allowance how much do you take home per week? need help!
Need answer asap please
Answer:
1. No
2. No
3. Yes
4. No
PLEASE HELP ASAP!!!!!
The table below represents a function.
x
1
2
3
4
5
y
1
16
64
256
1,024
Which statement would best describe the graph of the function?
The graph is a straight line that has a slope of 8.
The graph is a horizontal line at y = 16.
The graph starts flat but curves steeply upward.
The graph is a parabola that opens upward.
Answer:
The answer is
→ C.) The graph starts flat but curves steeply upward.
Step-by-step explanation:
Explaining option C:
The quick leaps in y-coordinates indicate that it continues to travel higher up faster and faster while the x-coordinates proceed continuously.
The first choice is incorrect since the slope formula yields a value of 15 for the slope. The second choice is incorrect since it is impossible for it to be a horizontal line unless x = 0, which it is not because it equals 2. The last choice is incorrect because, rather of continuously increasing in size, a parabola function begins to decrease in size (the vertex would be visible in the function if this was a parabola.)
Therefore, Option C.) The graph starts flat but curves steeply upward is your answer.
Hope this helped! :^)
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Submitted on 4/20/2022 at 12:45 PM
(To avoid plagarism, by users whom decide to copy.)
(-2) X (-4) X (-6) X(-8)
Answer:
288
Step-by-step explanation:
(-2)x(-4)=8
(8)x(-6)=-48
(-48)x(-6)=288
Find the difference.
k/k2 − 9k + 20 − 5/k2 − 9k + 20
A.
k − 5/k − 4
B.
1/k + 4
C.
1/k − 4.
D.
k − 5/0
Answer:
Option C
Step-by-step explanation:
Check the attached photo.
i need help really quick
Answer:
Q = 247
Step-by-step explanation:
From B.
2*Q + 471 = 931
2*Q= 494
Q = 247
The problem states that Q is two times bigger than P
P < 2*Q
471 < 2*247
471 < 494
Question content area top
Part 1
A circular flower bed is 16m in diameter and has a circular sidewalk around it that is 3m wide. Find the area of the sidewalk in square meters. Use 3.14 for .PI
Answer:
Step-by-step explanation:
Given that the diameter of the flower bed is 17 m and the width of the side walk is 2 m for a total out side diameter of 21 m.
Total Area is pi *(D/2)^2 = 346.4 m^2
Now subtract the area of the 17 m diameter flower bed for the area of the sidewalk alone. 346.4 - (pi*(17/2)^2 = 346.4 - 227.0 = 119,4 m^2
Answer: 119,4 m^2
Step-by-step explanation:
The equation is area = p times r^2
8 times eight times 3.14 = 119,4 m^2
Two dice are rolled. If the sum of the two numbers shown is at least 8, what is the probability that the two numbers are the same?
The number of goldfish that can live in a small tank is at most 6.
Let g be the number of goldfish that can live in the tank. Which inequality represents tis situation.
Options: g ≥ 6, g < 6, g ≤ 6, g > 6
Whats the write option?
Answer:third option
Step-by-step explanation:
I just did it
Sandra is mixing bleach and water so she can clean her house. She has a gallon bottle with a mixture of 60% bleach and 40% water. However, she needs the mixture to be 45.5% water. How much water should be added to the mixture to make it 45.5% water? (Round to the nearest hundredth)
The amount of water to be added to the mixture to make it 45.5% water is 0.06.
What are word problems?Word problems in mathematics involve the interpretation of word problems into variables and setting an equation to solve those variables.
From the given information:
The amount of bleach to water = 60% : 40%If she needs the mixture to be 45.5%, the amount of water to be added is:
= (45.5 - 40.0)%
= 5.5%
= 0.055
= 0.06 to the nearest hundredth
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Please help This is my last question.
Answer:
Points A and B are not on the unit circle.
Step-by-step explanation:
Recall that a "unit circle" has a radius of 1, and so if x² + y² ≠ 1, the point is not on a unit circle.
In A we apply the Pythagorean Theorem as follows: 1² + 1² = 2 ≠ 1.
Therefore, point (1, 1) is not a point on the unit circle.
In B: if we square the x and y components and add these squares together, we get 3/4 + 1/9, which does not equal 1. Point not on unit circle.
In C, we get 4/9 and 5/9, which eqals 1. This point C lies on the unit circle.
In D, we get 0.64 + 0.36 = 1, so this point does lie on the unit circle.
Thus: not on unit circle: A(1, 1), B(√3/2, 1/3)
On unit circle: D(0.8, -0.6), C(-2/3, √5/3)
A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.
Check the picture below.
so the volume will simply be the area of the hexagonal face times the height.
[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3[/tex]
help, this is due tomorrow!
Answer:
a) 17.6 ft
b) 81.8 mm
c) 9 cm
d) 12 in
Step-by-step explanation:
Use the formula: πd = circumference to solve this equation
so you need to double the radius to get the diameter.
a) 5.6π = 17.6 ft
b) 26π = 81.8mm
c) 56.5 / π = 18.0 cm / 2 = 9 cm
d) 75.4/ π = 24.0 cm / 2 = 12 in
Maths 10 min tax problem. I started it but I have no idea what I’m doing
Answer:
€ 2932.54
Step-by-step explanation:
Rate of interest for income upto 12012 = 0.5 %
Interest = 0.5% *12012
=0.05 *12012
= € 60.06
Rate of interest for income between 12012.01 to 19874 = 2%
Interest = 2% * 19874
= 0.02 * 19874
= € 397.48
Rate of interest for income between 19874.01 to 70044 = 4.5%
Interest = 0.045 * 55000
= € 2475
Anna's USC for the year = 60.06 + 397.48 + 2475
= € 2932.54
What is the fractional equivalent of the repeating decimal 03?
O A. 1
OB. 3 10
O c. 3 100
O D. 17 .
If you roll a number cube 90 times, how many times do you expect to roll a 3?
45 times
30 times
15 times
23 times
Answer:
15 times
Step-by-step explanation:
3 is one of the six numbers on a die.
The probability of rolling a 3 in one roll is [tex]\frac{1}{6}[/tex].
If you multiply it by 90, you get 15 times.
Answer:
C 15
Step-by-step explanation:
3 = 1/6
since there's 90 times
90/6 is equal to 90 x 1/6
90/6
= 15
How many solutions exist for the given equation? 0.75(x 40) = 0.35(x 20) 0.35(x 20) zero one two infinitely many
Answer:
One solution
Step-by-step explanation:
0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)
0.75x + 30 = 0.35x + 7 + 0.35x + 7
0.75x + 30 = 0.7x + 14
0.05x + 30 = 14
0.05x = -16
x = -320
Hope this helps!
Only one solution exists for the given equation.
What is meant by mathematical solution ?A mathematical statement that demonstrates the equality of two mathematical expressions is a mathematical solution, which is the definition of an equation.
Here,
The mathematical equation given is,
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
By solving it,
0.75(x + 40) = 0.7(x + 20)
0.75x - 0.7x = 14 - 30
0.05x = -16
Therefore, the solution of x,
x = -16/0.05
x = 320
Hence,
Only one solution exists for the given equation.
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Ming argues that the length of a will be half of the measure of the length of 6 since 45° is half the measure of 90°. Charlene argues that the length of a will be a different number.
What is the length of a?
The length of a will be a different number and the value will be 4.71in
How to find the area of a sectorThe given diagram is a sector and the formula for calculating the length of an arc is expressed as:
Length of an arc = rβ
where
β is the subtended angler is the radiusGiven the following parameters
β .= 45 degrees
r = 6in
Substitute
Length of an arc = 6π/4
Length of an arc = 6(3.14)/4
Length of an arc = 4.71inches
This shows that the length of a will be a different number and the value will be 4.71in
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PLS HELP ASAP
[tex]15x^2 +9[/tex]
What are the coefficients
coefficient a =
coefficient b =
coefficient c =
Answer:
a = 15
b = 0
c = 9
Step-by-step explanation:
Given:
[tex]\displaystyle \large{15x^2+9}[/tex]
To find:
values of a, b and cQuadratic Expression:
[tex]\displaystyle \large{ax^2+bx+c}[/tex]
Compare coefficients:
[tex]\displaystyle \large{ax^2+bx+c=15x^2+0x+9}[/tex]
Therefore, compare like terms as we get:
a = 15b = 0c = 9Therefore, your answer is a = 15, b = 0, c = 9
Solve for c.
a(c + b) = d
the diagram shows a right-angled triangle ABC and a circle. A, B and C are points on the circle AB is a diameter of the circle AB = 10cm, AC = 6cm, BC = 9cm. Give your answer correct to 3 significant figures.
Step-by-step explanation:
question not complete
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