Answer:
48
Step-by-step explanation:
solve the inequality for x:
x-1<2x+2<2x+1
Answer:
No solution exists
Step-by-step explanation:
x - 1 < 2x + 2 < 2x + 1
examine the center and right terms
2x + 2 < 2x + 1
Subtract 2x from both sides
2 < 1
This is False. Therefor
No solution exists
The number of typing errors on a page follows a Poisson distribution with a mean of 6.3. Find the probability of having exactly six (6) errors on a page.
Answer: 0.1595
Step-by-step explanation:
Poisson Distribution Formula
[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]
Here, [tex]\lambda= 6.3[/tex]
x= 6
[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]
[tex]\approx0.1595[/tex]
Hence, the probability of having exactly six (6) errors on a page = 0.1595
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice,and they want to get exactly the same amount. How much orange juice can each get?
Answer:
Quantity of juice = 300 milliliters
Step-by-step explanation:
Given the following data;
Total quantity of juice = 3 liters
Number of students = 10 students
To find the quantity of orange juice each student can get;
First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.
Conversion:
1 liter = 1000 milliliters
3 liters = 3 * 1000 = 3000 milliliters
Next, we determine the quantity each student get;
Quantity of juice = 3000/10
Quantity of juice = 300 milliliters
What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?
function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
find the 10th term of the geometric sequence 8, -24, 72...
Answer: -157,464
Step-by-step explanation:
an=a^1*r^n-1
a10=8*-3^10-1
a10=8*-3^9
a10=8*-19683
a10=-157464
Answer:
a10 = -157,464
Step-by-step explanation:
a1 = 8
a2 = -24
r = a2/a1 = -3
an = a1 × r^(n - 1)
a10 = a1 × (-3)^(10 - 1)
a10 = 8 × (-3)^(9)
a10 = -157,464
What is the first term of a 14-term arithmetic sequence where the last term is −12 and the sum is 42?
A. 6
B. 7
C. 13
D. 18
please explain answer
=========================================
Work Shown:
Here are the variables we're working with
a = first termb = last term (aka nth term)n = number of termsS = sum of the first n termsIn this case, we know that
a = unknown (what we want to solve for)b = -12 n = 14S = 42We can use this formula to help find the answer
S = (n/2)*(a+b)
This formula only works for arithmetic sequences
So,
S = (n/2)*(a+b)
42 = (14/2)*(a+(-12))
42 = 7(a-12)
42/7 = a-12
6 = a-12
6+12 = a
18 = a
a = 18 is the first term of this arithmetic sequence
That's why the answer is choice D.
-----------
Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.
Which choices are equivalent to the fraction below? Check all that apply.
Answer:
the answer is B & F
I don’t understand the steps for this problem
Answer:
-53
Step-by-step explanation:
You start off with the g of x equation
then you substitute -5 for the x value
after you solve that, you should get g of x = 23
then you take the f of x equation and plug 23 in for x
then you simplify that and you should end up with an answer of -53
Step-by-step explanation:
i just need points so i can ask my questions
To predict what diameter a child would draw a nickel given family income, it would be most appropriate to: ___________
a. Use the regression equation
b. Use the mean y-value
c. Use the P-Value
d. Use the residual
Answer:
a. Use the regression equation
Step-by-step explanation:
Given
See attachment for missing part of question
Required
What can be used to predict diameter, given family income
We can see (by observation) that the data on the table can only be represented on a scattered plot, and scattered plot uses regression equation for data prediction.
i.e. [tex]y = mx + b[/tex] --- equation of line of best fit
In this case;
[tex]x \to income[/tex]
[tex]y \to diameter[/tex]
When the x value (income) is known, we can simply plug in the value in the above equation to get the y value (diameter)
Uh please help 8x-4y=-4
-3x+4y=5
Subtract second equation from the first
Answer:
11x -8y = -9
Step-by-step explanation:
8x-4y=-4
-3x+4y=5
Subtract the second equation from the first
8x-4y=-4
-(-3x+4y=5)
-----------------------------
Distribute the minus sign
8x-4y=-4
+(3x-4y=-5)
-----------------------------
11x -8y = -9
Which equation can be used to find the length of the missing side x?
Answer:B) x = 7 sin 65°
Step-by-step explanation:
Sine = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex]
So 7 × [tex]\frac{x}{7}[/tex] = x
The British government conducts regular surveys of household spending. The average weekly household spending on tobacco products and alcoholic beverages for each of 11 regions in Great Britain are recorded. A scatterplot of spending on tobacco versus spending on alcohol is given below: What is the most plausible value for the correlation between spending on tobacco and spending on alcohol
Answer:
Great Britain we’re colonizers
Step-by-step explanation:
Answer:
C) 0.08
Step-by-step explanation:
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
To learn more about mean refer:
https://brainly.com/question/13451489
#SPJ2
ANSWER ASAP
Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
[tex]\frac{\pi r^2}{2}[/tex]
We can substitute what we have:
[tex]\frac{25\pi }{2}[/tex]
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it. If a law-abiding calculus student, one who always travels at the posted speed and who always does his homework, is traveling 45 miles per hour is directly above a train going 60 miles per hour below, how fast will they be separating 10 seconds later
Answer: 110 feet per second
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
[tex]S1=\frac{45*5280}{3600}=66[/tex]
[tex]S2=\frac{60*5280}{3600}=88[/tex]
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]
[tex]h=\sqrt{12100}=110[/tex]
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:
[tex]H= \sqrt{12100}=110[/tex]
In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.
[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]
So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:
[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]
See more about distance at brainly.com/question/989117
A toy has an original price of $12. Find the new price after 45% decrease
Answer:
New price =$6.60
Step-by-step explanation:
[tex]deduction \ percent = 45\% \\\\dedecution \ price = \frac{45}{100} \times12 = \$5.40\\\\\ Therefore , cost \ of \ toy \after \ deduction = 12 - 5 .40= \$ 6.60[/tex]
Hello there I hope you are having an great day :) A toy has an original price of $12. Find the new price after 45% decrease,
Find the original price - $12
Get the the discount percentage - 45%
Calculate the savings: 45% of $12 = 3.73
Subtract the savings from the original price to get the sale price: $12 - $3.73 = £8.27
Original Price = Sale Price / ( 1 - Percent Off / 100 ) = 21.8182 that would b the answer :)
How to solve equations in which the variable is in an exponent
Answer:
It depends on the equation.
If the bases are equal and the variables are only in the exponents, set the exponents equal.
If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.
Example 1:
[tex] 4^{2x + 5} = 4^9 [/tex]
Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.
2x + 5 = 9
2x = 4
x = 2
Example 2:
[tex] 3^{2x} = 9^{6} [/tex]
The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.
[tex] 3^{2x} = (3^2)^{6} [/tex]
[tex] 3^{2x} = 3^{12} [/tex]
Now you have equal bases, so the exponents must be equal.
2x = 12
x = 6
Example 3:
[tex] 10^{x + 2} = 9 [/tex]
Here you can't make the bases equal, so you take the log of both sides and use laws of logs.
[tex] \log(10^{x + 2}) = \log 3^2 [/tex]
[tex] (x + 2) \log 10 = 2 \log 3 [/tex]
Recall that: [tex] \log 10 = 1 [/tex]
[tex] x + 2 = 2 \log 3 [/tex]
[tex] x = 2 \log 3 - 2 [/tex]
Let W represent that a car is white, let N represent that a car is new, and let M represent that a car is mine. Analyze the logical form of the following statements:
a. If the car is not white and new, then it is mine.
b. The car being white or new is a sufficient condition for it being not mine.
c. The car is mine if and only if it is new and not white.
Answer:
Remember that if we have a proposition P, ¬P is the negation of that proposition.
We have:
W = car is white
¬W = car is not white
N = car is new
¬N = car is not new
M = the car is mine
¬M = the car is not mine.
Now, whit that defined, let's analyze the statements:
a: " If the car is not white and new, then it is mine."
We can write this as:
"Not W and N, then M"
using only symbols this is:
(¬W ∧ N) ⇒ M
where the symbol ∧ means "and"
and the symbol ⇒ means "then"
b " The car being white or new is a sufficient condition for it being not mine."
We can rewrite this in a simpler way:
"if the car is white or new, then is not mine"
We can write this as:
W or N, then, not M
using the symbols, we get:
(W ∨ N) ⇒ ¬M
Where the symbol ∨ means "or"
c " The car is mine if and only if it is new and not white."
This can be rewritten as:
"M if and only if N and not W"
Using only symbols, we get:
M ⇔ (N ∧ ¬W)
Where "⇔" means "if and only if"
-2x + 9y = 2
4x - 18y = -4
Answer:
6x + 27y = -6
Step-by-step explanation:
i looked it up sooo sorry if its wrong lol
please hbelpppppppppppppppppppppppp quick
Answer:
#1 I believe the answer is 4 and for 2 I believe the answers are 3&4
What is the length of x?
Answer:
9.04
Step-by-step explanation:
tan 37 = x/12
0.7536 x 12= x
x = 9.04
Write the ratio 4.05 : 1.35 in the format n : 1
Answer:
3
Step-by-step explanation:
1.35n is 4.05
4.05÷1.35 is 3
n is 3
Answer:
3 : 1
Step-by-step explanation:
4.05 : 1.35 can be written as [tex]\frac{4.05}{1.35}[/tex] in fraction.
To write 4.05 : 1.35 in "n : 1" ratio format , you need to make the denominator of the fraction as 1.
Divide both the numerator & denominator of the fraction by 1.35.[tex]=> \frac{4.05 \div 1.35}{1.35 \div 1.35}[/tex]
[tex]=> \frac{3}{1}[/tex]
[tex]=> \boxed{3 : 1}[/tex]
I L L B E M A R K I N G B R A I N L I E S T T O W H O A N S W E R S F I R S T !
Answer:
Its the rectangle
Step-by-step explanation:
HURRY!!!!!! 100 POINTS!!!!!!!!!!
WHO ANSWERS THIS FIRST GETS BRALIEIST!!!!!!!!
Arturo received a large cash prize when he was chosen as the winner of a writing contest, and he did something
really nice and totally unselfish with the winnings that he received.
which revision most
effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box
Revision
A.
As the winner of a writing contest, Arturo won money and gave his winnings away.
B.
Arturo did something unselfish with the prize money he won in a writing contest instead of spending it
on himselt
C.
Arturo won a cash prize in a writing contest and donated the money to a local animal shelter.
Answer:
C
Step-by-step explanation:
The picture says it all. If possible please explain. You don't have to but I would very much like to know how to solve this in the future.
Answer:
g(x)= ((x+4)^2) -2
Step-by-step explanation:
...............
Answer:
Step-by-step explanation:
What is 16x + 4y = 12 in slope intercept form
Answer:
y = -4x + 3
Step-by-step explanation:
You just have to solve for y.
So you get only the y value on one side, so the equation would then be
4y = -16x + 12, then you have to solve for y, so you divide both sides of the equation by 4 and you are left with y = -4x + 3
Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?
Answer:
14 questions correct
Step-by-step explanation:
x/20 *100 = 70
so x/ 20 = 70/100(0.7)
x/20 = 0.7
x = 0.7*20
x =14
What is EG? Round to the nearest tenth if necessary.
Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
Find the median and mean of the data set below:
25, 13, 6, 4,2
Answer: im sorry but there is nothing here to help? may you add a picture? or something file maybe?
Step-by-step explanation:
At an auditorium, 3 1/2 sections are filled with people watching a play. Exactly 3/5 of the people watching the play are parents. What fraction of the sections are filled with parents?
Answer:
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
Step-by-step explanation:
Given:
Total number of sections filled = 3¹/₂ = 7 / 2 sections
Number of fraction parents watching play = 3/5
Find:
Fraction[Total number of sections filled filled with parents]
Computation:
Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play
Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]
Fraction[Total number of sections filled filled with parents] = 21 / 10 sections
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section