Answer:-2
Step-by-step explanation:
Log3(1/9)
Log(1/9) ➗ Log3
Log(1/3^2) ➗ Log3
Log3^(-2) ➗ Log3
-2Log3 ➗ Log3
-2(Log3 ➗ Log3)
-2
The solution of the expression by taking a log is, log₃ (1/9) = - 2
Used the formula for the logarithmic function,
log₃ (a)ⁿ = n log₃ (a)
log₃ (3) = 1
Given that,
The logarithmic function is,
log₃ (1/9)
It can be written as,
log₃ (3⁻²)
Since, log₃ (a)ⁿ = n log₃ (a)
So, we get;
- 2 log₃ (3)
- 2 × 1
- 2
Therefore, the solution is - 2.
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The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?
Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border
Step-by-step explanation:c=2pie•r^2
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
-6•f (-3) - 5•g (-7) =
please help.
Answer:
-12
Step-by-step explanation:
The value of f(-3) is found by finding the point on the solid blue graph where x = -3. That point has a y-value of -3, so f(-3) = -3.
The value of g(-7) is found by finding the point on the dashed purple graph where x = -7. That point has a value of 6, so g(-7) = 6.
Putting these numbers into your expression gives ...
-6(-3) -5(6) = 18 -30 = -12
The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1) What number should go in place of n to find the area of the triangle?
Answer:
Step-by-step explanation:
4.5
Answer:
4.5
Step-by-step explanation:
i did the test
On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea
Identify the population
Identify the parameter
Identify the sample
Identify the statistic
Answer:
i) The bottles of iced tea filled in a plant is the Population
ii) The Average of Population μ = 20 is called Parameter
iii) The sample size 'n' = 50
iv) The mean of the sample 'x⁻ = 19.6 ounces
Step-by-step explanation:-
Population:-
The total number of observations which we are concerned , whether this number be finite or infinite is called Population.
In Given data
The bottles of iced tea filled in a plant is the Population
Parameter:-
The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.
The Average of Population μ = 20 is called Parameter
Sample:-
A sample is a subset of population
given data sample size n=50 bottles at random from the days of production
Statistics
The sample mean x⁻ and variance S² is called statistics
Given data
These bottles contained an average of 19.6 ounces of iced tea
x⁻ = 19.6 ounces
Which method would determine the volume of the prism with dimensions 2x2x4 shown below?
2 in
4
There are 8 one-quarter cubes and 16 unit cubes so 8x
00
+16 will give the volume
can someone please answer this fast, ty
Answer:
13p
Step-by-step explanation:
12p+p
Factor out the p
p(12+1)
p (13)
13p
STATS. How can we decide if an event that seems weird is actually unusual or fairly likely?
Answer:
Try finding the theoretical probability of a sample space before calling the event in the sample space "weird"
Step-by-step explanation:
568,924,126 each digit stands for what
Answer:
500,000,00060,000,0008,000,000900,00020,0004,000100206Step-by-step explanation:
To find what a digit stands for, make all the other digits zero.
This is substantially what we do when we write the number in "expanded form."
568,924,126
= 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...
... +100 +20 +6
The list of numbers in the sum is the list of numbers the digits stand for.
The distance between the origin and the point representing the real number.
Answer: I believe the answer you're looking for is absolute value
I hope this helps!!!
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.
A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.
Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.
Answer:
Its A. Medera turned the phone off while playing in the soccer game
Step-by-step explanation:
Answer:
It is A.Medera turned the phone off while playing in a soccer game.
Step-by-step explanation:
got a 100 on the test
There are 3 white marbles and 7 blue marbles in a bag. Hannah will randomly pick a marble out of the bag. What is the probability of Hannah picking a blue marble?
Question 2 options:
1
3/10
7/10
1/2
7 blue marbles and 10 total marbles.
Picking blue would be 7 blue/ 10 total = 7/10
This table shows Jill’s math quiz scores. What is the minimum score she needs on her next quiz to have a mean of at least 92?
90
94
88
92
Answer:
~ Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes ~
Step-by-step explanation:
1. The table shows that her past weeks math quiz scores are: 92, 96, 94, 88
2. If she were to get a mean, or average, of at least 92, we could set up an equation to determine the minimum score she will recieve on her next quiz:
92 + 96 + 94 + 88 + x/ 5 = 92 ⇒ (where x is the minimum score she should recieve on her next quiz to get an average of at least 92%)
3. Now let us solve this equation for x through simple algebra ⇒
92 + 96 + 94 + 88 + x/ 5 = 92 ⇒
370 + x/5 = 92 ⇒
x/5 + 74 = 92 ⇒
x/5 = 18
x = 90
4. Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes
Answer: She would need a 90
Step-by-step explanation: I did the iready
At SeptemberFest, the first dance of the year, the Students’ Council charged $3 for couples and $2 for singles. If 365 tickets were sold and the total receipts were $925, how many single tickets were sold? Write you answers as a number only.
fourteen less then the product of five and nine in numerical expression
pls help
Answer:
( 5 x 9 ) - 14
Which equals 31
Answer:
31
Step-by-step explanation:
5 x 9- 14 is 31
point c' (_4, _3) is the image of c (_2, _3) under a translation
Answer:
2 units moved?
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
It is forsure A has to be
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
Square roots are 5 and 6
since you cannot simplify 5/6 anymore, that is the answer
If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
5
Step-by-step explanation:
The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.
Answer:
5
Step-by-step explanation:
Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head
Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5
If you just comment just to comment I’ll report you ok
- geometry
Answer:
6644.7 cubic meters
Step-by-step explanation:
[tex]\text {Fomula for volume of a cube: } V=s^3\\s-\text {Side Measure}[/tex]
The side measure is 18.8m.
[tex]V=18.8^3\\V= 18.8*18.8*18.8\\\boxed{V=6644.672}[/tex]
6644.672 ≈ 6644.7
The volume of the cube should be 6644.7 cubic meters.
Brainilest Appreciated.
Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units
Answer:
A
Step-by-step explanation:
The area of a rectangular swimming pool is 360 square feet. If the length of the pool is 9 feet more than it’s width, find the length of the pool
Answer:
The length of the pool is [tex]L=24\:ft[/tex].
Step-by-step explanation:
The area of a rectangle is given by [tex]A=L\cdot W[/tex] where L is the length, W is the width.
If the length of the pool is 9 feet more than it’s width, this means that [tex]L=9+W[/tex]
We know that the area of a rectangular swimming pool is 360 [tex]\:ft^2[/tex]. So we simple insert the length ([tex]L=9+W[/tex]), width ( [tex]W[/tex]) and area (360) into the formula and solve the resulting equation.
[tex]360=\left(9+W\right)W\\\\360=9W+W^2\\\\9W+W^2=360\\\\W^2+9W-360=0[/tex]
[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]\mathrm{For\:}\quad a=1,\:b=9,\:c=-360:\quad W_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}\\\\W=\frac{-9+\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= 15[/tex]
[tex]W=\frac{-9-\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= -24[/tex]
A length cannot be negative. So [tex]W=15[/tex] and the length of the pool is [tex]L=9+15=24\:ft[/tex]
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha
Answer:
a) Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
b) The test statistic
|t| = |-3.33| = 3.33
c) P - value lies between in these intervals
0.001 < P < 0.005
Step-by-step explanation:
Step( i ):-
Given data the Population mean 'μ' = 5.5
The small sample size 'n' = 16
The sample mean (x⁻) = 5.25
Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
Level of significance ∝ = 0.01
Step(ii):-
The test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
On calculation , we get
t = -3.33
|t| = |-3.33| = 3.33
Step(iii):-
P - value
The degrees of freedom γ = n-1 = 16-1 =15
The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005
0.001 < P < 0.005
Condition(i)
P - value < ∝ then reject H₀
Condition(ii)
P - value > ∝ then Accept H₀
we observe that 0.001 < P < 0.005
P- value < 0.01
we rejected H₀
(or)
The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom
The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom
The null hypothesis is rejected
Conclusion:-
Accepted Alternative hypothesis H₁
The Claim that the true average is smaller than 5.5
The angle θ lies in Quadrant III . cosθ=−1/6 What is tanθ ?
With θ in quadrant III, we expect to have both cosθ and sinθ negative. Then from the Pythagorean identity, we get
[tex]\cos^2\theta+\sin^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{35}}6[/tex]
Then from the definition of tangent, that is
tanθ = sinθ / cosθ
we get
[tex]\tan\theta=\dfrac{-\frac{\sqrt{35}}6}{-\frac16}=\boxed{\sqrt{35}}[/tex]
The value of [tex]\tan \theta[/tex] is required.
The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]
[tex]\cos \theta=-\dfrac{1}{6}[/tex]
We have the identity
[tex]\tan \theta=\dfrac{\sqrt{1-\cos^2\theta}}{\cos \theta}\\\Rightarrow \tan\theta=\dfrac{\sqrt{1-\left(-\dfrac{1}{6}\right)^2}}{-\dfrac{1}{6}}\\\Rightarrow \tan \theta=\dfrac{\sqrt{\dfrac{35}{36}}}{-\dfrac{1}{6}}\\\Rightarrow \tan\theta=\pm\sqrt{35}\times -1\\\Rightarrow \tan\theta=\pm\sqrt{35}[/tex]
The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]
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What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4
Answer:
4
Step-by-step explanation:
The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.
Answer: 4
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.
Now, notice that there are two numbers that appear in the middle.
I have underlined them above.
When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.
So the median of the given data set is 4.
Just the 46×23 to the fourth power times 1000
Answer:1.2872686 x 10^10
Step-by-step explanation:
46 x 23^4 x 1000
46 x 23 x 23 x 23 x 23 x 1000
1.2872686 x 10^10
3 1/3 CUPS OF FLOUR IS NEEDED TO MAKE A PAN OF MUFFINS. 2 1/3 CUPS OF FLOUR IS NEEDED FOR A LOAF OF BREAD. HOW MUCH MOE FLOUR IS NEEDED FOR THE PAN OF MUFFINS? DRAW A TAPE DIAGRAM?
Answer:
1 cup
Step-by-step explanation:
3 1/3 - 2 1/3 = 1 cup
(8.2×10^2)+(3.41×10^-1)
Answer:
820.341
Step-by-step explanation:
(8.2×10^2)+(3.41×10^-1)=
(8.2×100)+(3.41×0.1)=
820+0.341=
820.341
Answer:820.341
Step-by-step explanation:
(8.2x10^2)+(3.41x10^-1)
(8.2x10x10)+(3.41 x 1/10)
(8.2x100)+(3.41x0.1)
820+0.341=820.341
Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09
Answer:
$110,579.39 this is the right answer.
Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left
Greetings, Brianna!
In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.
1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.
2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:
7.8
-0.7
3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.
[tex]8 - 7 = 1[/tex]
[tex]7 - 0 = 7[/tex]
7.8
-0.7
71
4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!
Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before. If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar, directly underneath the other points. Don't pay much attention to it.
*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!
7.8
-0.7
7.1
Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.
Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.
Y= - x+2 Y=3x-4
Estimate the solution to the system of equations
Answer:
[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y=-x+2\\y=3x-4[/tex]
Let's solve one of them for x.
[tex]y=3x-4[/tex]
Add 4
[tex]y+4=3x[/tex]
Divide by 3.
[tex]x=\frac{y+4}{3}[/tex]
Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.
[tex]x=\frac{y+4}{3}[/tex]
[tex]x=\frac{(-x+2)+4}{3}[/tex]
[tex]x=\frac{-x+2+4}{3}[/tex]
[tex]x=\frac{-x+6}{3}[/tex]
Multiply by 3 to get rid of the denominator.
[tex]3x=-x+6[/tex]
add x
[tex]3x+x=6[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]x=\frac{6}{4}[/tex]
Simplify.
[tex]x=\frac{3}{2}[/tex]
Now that you found the value of x, replace it in any of the equations to find y.
[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]
[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]
Proof:
[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]
[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]
[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]
[tex]\frac{1}{2}=\frac{1}{2}[/tex]
