Answer:
19)
[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = 2^n[/tex]
Notice that in the left side, all the numbers are powers of 2.
2 = 2^1
4 = 2^2
8 = 2^3
16 = 2^4
remember that:
(a^x)*(a^y) = a^(x+y)
then the denominator in the left is:
(2*4*8*16) = 2*(2^2)*(2^3)*(2^4) = 2^(1 + 2 + 3+ 4) = 2^8
Then we have:
[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = \frac{1}{2^8} = 2^n[/tex]
[tex]1 = 2^8*2^n = 2^{8 + n}[/tex]
then 8 + n = 0
then n = -8.
18)
here we have:
x = (x/9) + (x/6) + (x/2) + 4 + (x/12) + 2
now in the left side we can use the common factor x and write it as:
x = x*( 1/12 + 1/9 + 1/6 + 1/2) + 6
x = x*(0.861) + 6
x - x*(0.861) = 6
x*(1 - 0.861) = 6
x = 6/(1 - 0.861) = 43.2
If the wavelength of the violet color is 400 nm, what is the value of its frequency?
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------- The frequency is ~7.5*1014 Hz
Since visible light has a wavelength spectrum of ~400 nm to ~700 nm, Violet light has a wavelength of ~400 nm and a frequency of ~7.5*1014 Hz.
Step-by-step explanation:
Speed = wavelength × frequency
3×10⁸ m/s = (400×10⁻⁹ m) f
f = 7.5×10¹⁴
Please answer this correctly without making mistakes
Answer:
14.3 km
Step-by-step explanation:
Using the paths shown, we would need to add the path length from Belmont to Yardley and Yardley to Oxford. When we add 8.5 and 5.8, we get 14.3 km.
Hence,
the distance from Belmont to Oxford is 14.3 km.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Solve the matrix equation.
Answer:
answer there
Step-by-step explanation:
hope it. was. helpful
-5/2x-3 is less than or equal to 2 what is the solution.
Answer: 1/4≤x
Step-by-step explanation:
-5/(2x-3)≤2
Multiply by (2x-3)
-5≤4x-6
Add 6
1≤4x
1/4≤x
Hope it helps <3
Answer:
[tex]x \geq 1/4[/tex]
Step-by-step explanation:
=> [tex]\frac{-5}{2x-3} \leq 2[/tex]
Multiplying both sides by (2x-3)
=> [tex]-5 \leq 2(2x-3)[/tex]
=> [tex]-5 \leq 4x-6[/tex]
Adding 6 to both sides
=> [tex]-5+6 \leq 4x[/tex]
=> [tex]4x\geq 1[/tex]
Dividing both sides by 4
=> [tex]x \geq 1/4[/tex]
how long would it take you to walk from Tucson Arizona to San Clemente California
Answer:
It would take around 152 hours or 468 miles.Step-by-step explanation:
If you walk from Tucson Arizona (Saguaro National Park) to San Clemente California (Dana point), it would take around 152 hours, or 468 miles, if you walking speed is as the average person which is 3 to 4 miles per hour.
Next number in this series is? 2 2 1/2 1 1/2 2
First, let's figure out the pattern that this series follows. We can see that the first number is increased by 1/2 to get to 2 1/2. Then, the second number is decreased by 1 to get to 1 1/2. Finally, the pattern repeats.
So, let's apply this pattern to find the next number in this series.
2, 2 1/2, 1 1/2, 2, 1
The next number in this series is 1.
Hope this helps!! :)
Given: (in picture as I cannot type it like that.) Name the postulate or theorem you can use to prove: (also in the picture) A. HL Theorem B. AAS Theorem C. SAS Postulate D. ASA Postulate
Answer:
You need to use the AAS (angle angle side) congruency theorem
Step-by-step explanation:
youre welcome!!!
Answer:
The Angle-Angle-Side Postulate (AAS)
Step-by-step explanation:
It is given that angle 1 and 2 are equivalent so that is angle #1
It is given that angle 3 and 4 are also equivalent so that is angle #2
And finally, it is given that side TS and side TR are equivalent giving you that last side you need to prove the type of Postulate it is
If this helped, please consider giving me brainliest, it will help me a lot
Have a good day! :)
Albert's Cafe uses 5 bags of coffee every day. How many days will 5/8 of a bag of coffee last?
Answer:
1 day.
Step-by-step explanation:
Given:
Albert's cafe uses 5 bags of coffee every day.
Required:
How many days will 5/8 bag of coffee last?
'How many days will 5/8 bag of coffee last?'
In this sentence we can see that there are 8 bags of coffee. The question in other words is Albert's Cafe is using 5 bags of coffee out of the 8 bags of coffee, and how many days will these last.
In the given we can see that the Cafe uses 5 bags of coffee per day, so the answer is 1 day.
Hope this helps ;) ❤❤❤
The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability the trip takes more than 40 minutes?
Answer:
The probability is [tex]P(X > x) = 0.0013499[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 25[/tex]
The standard deviation is [tex]\sigma = 5 \ minutes[/tex]
The random number [tex]x = 40[/tex]
Given that the time taken is normally distributed the probability is mathematically represented as
[tex]P(X > x) = P[\frac{X -\mu}{\sigma } > \frac{x -\mu}{\sigma } ][/tex]
Generally the z-score for the normally distributed data set is mathematically represented as
[tex]z = \frac{X - \mu}{\sigma }[/tex]
So
[tex]P(X > x) = P[Z > \frac{40 -25}{5 } ][/tex]
[tex]P(X > x) = 0.0013499[/tex]
This value is obtained from the z-table
A copy machine makes 153 copies in 4 minutes and 15 seconds how many copies does it make per minute
1 minute = 60 seconds
15 seconds /60 = 0.25 minutes.
Total time in minutes is 4.25
Divide total copies by total minutes:
153 / 4.25 = 36 copies per minute
Answer:
[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]
Step-by-step explanation:
[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]
[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]
[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]
[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]
[tex]\displaystyle \frac{153}{4.25} =36[/tex]
[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]
Pleased help with this
Answer:
A
Step-by-step explanation:
Two functions can be linked together by using the output of the first function
as the input of the second function. Which term describes this process?
A. Input/output
B. Relation
C. Domain
D. Composition
Answer: Option D, composition.
Step-by-step explanation:
In a function f(x) = y
x is the input, and the set of the possible values of x is called the domain.
y is the output, and the possible values of y is called the range.
Now, if we have two functions:
f(x) = y
g(x) = y.
we can define the composition of functions as: using the output of one function as the input of the other function, we can write this as:
f( g(x)) or fog(x)
In words, first we evaluate the function g in the point x, and the output of that is used as the input for the function f.
Then, the correct option here is D, composition.
the endpoints of GH are g(-7,3) and h(1,-2) what’s the midpoint of GH
Answer: [tex]\bigg(-3,\dfrac{1}{2}\bigg)[/tex]
Step-by-step explanation:
G = (-7, 3) H = (1, -2)
[tex]M_{GH}=\bigg(\dfrac{X_G+X_H}{2},\dfrac{Y_G+Y_H}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-7+1}{2},\dfrac{3+(-2)}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-6}{2},\dfrac{1}{2}\bigg)\\\\\\.\qquad = \large\boxed{\bigg(-3,\dfrac{1}{2}\bigg)}[/tex]
The mid point of the line GH whose end points are (-7,3) and (1,-2) is (-3,1/2).
What is the mid point of a line?The mid point is a line which divides the line into two equal parts. The formula to calculate the mid point of line whose end points are (x1,y1) and (x2,y2) is {(x1+x2)/2,(y1+y2)/2}.
How to calculate mid point of a line?To calculate the mid point of the line GH we have to put x1=-7, x2=1,y1=3 and y2=-2 so,
the mid point is {(-7+1)/2,(3-2)/2}
=(-3,1/2)
Hence the mid points of a line GH whose end points are g(-7,3) and h(1,-2) is (-3/1/2).
Learn more about mid point of a line at https://brainly.com/question/18315903
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Assuming that ten (10) candidates are presented in a random order, what is the probability that hire exactly one candidate
Answer:
The probability that only one candidate is hired is 0.10.
Step-by-step explanation:
The probability of event E occurring is the ration of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
It is provided that N = 10 candidates are presented in a random order.
Compute the probability that only one candidate is hired as follows:
[tex]P(\text{Only 1 Hire})=\frac{1}{10}=0.10[/tex]
Thus, the probability that only one candidate is hired is 0.10.
How do I tell if scatterplot is linear?
n = 9
H0 : 50 = 47
Ha : 50 s = 3
Assume data are from normal population. The p-value is equal to:______.
a. 0.0171.
b. 0.0805.
c. 0.2705.
d. 0.2304.
Answer:
The p-value is 0.809.
Step-by-step explanation:
In this case we need to perform a significance test for the standard deviation.
The hypothesis is defined as follows:
H₀: σ₀ = 4 vs. Hₐ: σ₀ ≤ 4
The information provided is:
n = 9
s = 3
Compute the Chi-square test statistic as follows:
[tex]\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}[/tex]
[tex]=\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5[/tex]
The test statistic value is 4.5.
The degrees of freedom is:
df = n - 1
= 9 - 1
= 8
Compute the p-value as follows:
[tex]p-value=P(\chi^{2}_{9}>4.5)=0.809[/tex]
*Use a Chi-square table.
Thus, the p-value is 0.809.
Sometimes distinct patterns around a trend line can be caused by A. statistical anomalies. B. dummy variables. C. seasonal variation. D. poor underlying data.
Answer:
C. Seasonal variation
Step-by-step explanation:
Distinct pattern around a trend line can be caused by seasonal variation.
Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season
Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.
Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.
Fill in the blanks.
(x+_)^2=x^2+14x+_
Step-by-step explanation:
(ax + b)² = a²x² + 2abx + b²
In this case, a = 1, so:
14 = 2b
b = 7
(x + 7)² = x² + 14x + 49
Please answer this correctly without making mistakes
Answer:
1.2 miles
Step-by-step explanation:
5.3 - 4.1 = 1.2 miles
Answer:
1.2 milesStep-by-step explanation:
5.3 - 4.1 = 1.2
1.2 miles difference.
This is because from Washington to Lanberry it is 4.1 miles. From Washington to Newberry it is 5.3., SO, if you subtract it you will get 1.2 miles difference.
Hope this helped,
kavitha
Solve the system using multiplication for the linear combination method. 6x – 3y = 3 –2x + 6y = 14 What is the solution to the system
Answer:
work is shown and pictured
Correct Answer would be
D: (2,3)
A central angle is best described as which of the following?
A.
It has a measure greater than 180 degrees.
B.
It is an angle that has its vertex on the circle.
C.
It is an angle that has its vertex at the center of a circle.
D.
It is part of the circumference of a circle.
Answer:
C. It is an angle that has its vertex at the center of a circle.
Step-by-step explanation:
That's the definition.
A. is wrong. An angle with a measure greater than 180° is an obtuse angle,
B. is wrong. An angle that has its vertex on the circle is an inscribed angle.
D. is wrong. Part of the circumference of a circle is an arc.
using the horizontal line test, which of the following can be confused about the inverse of the graph?
Answer:
I think D
Step-by-step explanation:
Verticle or horizontal line test, it would be a function either way
A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 146 students using Method 1 produces a testing average of 51.6. A sample of 180 students using Method 2 produces a testing average of 62.7. Assume the standard deviation is known to be 9.42 for Method 1 and 14.5 for Method 2. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval.
Answer:
The confidence interval is [tex]-11.34 < \mu_1 -\mu_2 < -10.86[/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 146[/tex]
The second sample size is [tex]n_2 = 180[/tex]
The first sample mean is [tex]\= x_1 = 51.6[/tex]
The second sample mean is [tex]\= x_2 = 62.7[/tex]
The first standard deviation is [tex]\sigma _1 = 9.42[/tex]
The second standard deviation is [tex]\sigma _2 = 14.5[/tex]
Given that the confidence level is 98% then the significance level is mathematically evaluated as
[tex]\alpha = (100 -98 )\%[/tex]
[tex]\alpha = 2 \%[/tex]
[tex]\alpha = 0.02[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the z-table , the value is [tex]Z_{\frac{\alpha }{2} } = 2.33[/tex]
The reason we are obtaining critical value of
[tex]\frac{\alpha }{2}[/tex]
instead of
[tex]\alpha[/tex]
is because
[tex]\alpha[/tex]
represents the area under the normal curve where the confidence level interval (
[tex]1-\alpha[/tex]
) did not cover which include both the left and right tail while
[tex]\frac{\alpha }{2}[/tex]
is just the area of one tail which what we required to calculate the margin of error
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\sigma_1^2}{n_1^2} + \frac{\sigma_2^2}{n_2^2} }[/tex]
substituting values
[tex]E = 2.33 * \sqrt{ \frac{9.42^2}{146^2} + \frac{14.5^2}{180^2} }[/tex]
substituting values
[tex]E = 2.33 * \sqrt{ \frac{9.42^2}{146^2} + \frac{14.5^2}{180^2} }[/tex]
[tex]E = 0.2405[/tex]
The 98% confidence interval is mathematically represented as
[tex](\= x _ 1 - \= x_2 ) - E < \mu_1 -\mu_2 < (\= x _ 1 - \= x_2 ) + E[/tex]
substituting values
[tex](51.6 - 62.7) - 0.2405 < \mu_1 -\mu_2 < (51.6 - 62.7) + 0.2405[/tex]
[tex]-11.34 < \mu_1 -\mu_2 < -10.86[/tex]
There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standard deviation of 6 min. (Give answers accurate to 3 decimal places.)
(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?
1
(b) If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?
2
Answer:
A) 0.99413
B) 0.00022
Step-by-step explanation:
A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:
Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes
Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:
μ = n*μ_s ample = 42 × 5 = 210 minutes
While the standard deviation for the population would be:
σ = √nσ_sample = √(42 × 6) = 15.8745 minutes
To find the z-score, we will use the formula;
z = (x - μ)/σ
Thus;
z = (250 - 210)/15.8745
z = 2.52
From the z-distribution table attached, we have;
P(Z < 2.52) ≈ 0.99413
B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.
Thus, total time is now 250 + 10 = 260 minutes
Similar to the z-formula in A above, we have;
z = (260 - 210)/15.8745
z = 3.15
P(Z > 3.15) = 0.00022
write the statement for 6x-3=9
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
The statement for [tex]6x - 3 = 9[/tex] is :
[tex]\boxed{Six (x) .minus. Three .equals. Nine.}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Solve for x: 125^(3x+7)=25^(5x−11)
Answer:
x = 43
Step-by-step explanation:
125^(3x+7)=25^(5x−11)
Rewriting the bases as powers of 5
125 = 5^3 and 25 = 5^2
5^3 ^ (3x+7) = 5^2^(5x-11)
We know a^b^c = a^ (b*c)
5^(3 * (3x+7)) = 5^(2*(5x-11))
Distribute
5^(9x+21) = 5^(10x-22)
The bases are the same so the exponents are the same
9x+21 = 10x-22
Subtract 9x from each side
9x+21 -9x = 10x-9x-22
21 = x-22
Add 22 to each side
21+22 = x-22+22
43 = x
i will give brainliest and 50 points pls help ASP
Answer:
2064 cm squared
Step-by-step explanation:
First I will try to solve for the area of each side:
Side #1(trapezoid): Area of a Trapezoid = half of sum of bases*height
A= (6+27)/2*8 = 33/2 *8 =132
Side #2(opposite trapezoid): Same area as theother one...
A= 132
Side#3(Top):
A=6*30=180
Side #4(Bottom):
A=27*30=810
Side #5(Left side):
A=10*30=300
Side #6(Right Side):
A=30*17=510
After solving for all the areas we just need to add them all up:
SA=132+132+180+810+300+510=2064 cm squared
Hope this helps!
Answer:
total surface area = 2064 cm^2
Step-by-step explanation:
Given prism with trapezoidal bases.
H=8
B1 = 27
B2 = 6
slant sides = 10, 17 cm
H = 30
Area of bases
A1 = 2 * (B1+B2)/2 * h
= 2* ( (27+6)/2 * 8 )
= 264
Area of sides
A2 = perimeter * H
= (6+17+27+10)*30
= 1800
Total area = A1+A2 = 264+1800 = 2064 cm^2
from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the distance of the stone from the foot of the building
Answer:
14.29cm
Step-by-step explanation:
Height of the building=10cm
Angle of depression=60°
We are therefore asked to find the distance from the stone to the
the foot of the building;Therefore we use Tan ratio which is opp/adj;
Let the distance from the stone to the foot of the building be x;
10/x=Tan60°
10/x=1.7/1
We then cross multiply to get 1.7x=10
x=10/1.7
=10*10/1.7*10
=100/17
=14.29cm.
A scale model of a train is 1:30. If the wheel diameter is 2cm, what is the actual size of the wheel? The wheel is ______ cm on diameter
Answer:
60 cm
Step-by-step explanation:
You need to use ratios to solve. If the scale is 1:30 then the wheel is 2:(?). Cross-multiply the fractions and solve for x.
1/30 = 2/x
1x = 30*2
x = 60
The wheel is 60 cm in diameter.
Answer:
60 centimeters
Step-by-step explanation:
The scale is 1:30. The wheel diameter is 2 while the actual size of the wheel is unknown. Therefore, the scale for the wheel is 2:x
Let’s set up a proportion.
1/30=2/x
First, cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the numerator of the second by the denominator of the first.
1*x= 2*30
1x=20*30
x=20*30
x=60
Add appropriate units, in this case centimeters (cm).
x= 60 cm
The actual diameter of the wheel is 60 centimeters.
What the answer fast
Answer:
when we add all the angles.
=58+94+15=167
so it's a 180..
180_167
=13
round to nearest tenth.
=10..