Answer:
0.0625
Step-by-step explanation:
Given that :
Number of toppings = 4 (ground beef, black beans, refried beans, and sour cream)
The probability of choosing any particular topping at random from the four is :
Probability = required / total possible outcomes
Hence, P = 1 / 4 = 0.25
Hence, the probability of choosing : getting refried bean and sour cream :
P(refried bean) = 1/4
P(sour cream) = 1/4
P(refried bean and sour cream) = 1/4 * 1/4 = 1/16 =
0.0625
Convert 0.181818 … to a fraction by writing the repeating decimal as an infinite geometric series. Show all of your work (please)
0.181818… = 18 (0.010101…)
… = 18 (0.01 + 0.0001 + 0.000001 + …)
… = 18 (1/100 + 1/100² + 1/100³ + …)
… = 18 (1 + 1/100 + 1/100² + 1/100³ + …) - 18
Then you have
[tex]0.181818\ldots = \displaystyle18\sum_{k=0}^\infty\frac1{100^k} - 18 = \frac{18}{1-\frac1{100}} - 18 = \boxed{\frac2{11}}[/tex]
PLEASE HELPPO The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
Choosing which 2 books describes a pair of dependent events?
Answer:
Two consecutive events are dependent if the outcome of the second event depends on the outcome of the first event.
Now, suppose that all the books have the same probability of being drawn, let's look at a single shelf.
we take a book from the first shelf, let's ignore the type of book for now.
Now, if we want to get a second book from that shelf, the probability of getting a fiction book is equal to the quotient between the number of fiction books on the shelf and the total number of shelf.
Now we can see that, if the first book drawn was a fiction book, now there are 5 fiction books and 9 books in total, so:
p = 5/9
if the first book was a non-fiction book, now there are 6 fiction books in the shelf and 9 books in total, so the probability in this case is:
q = 6/9
So you can see that the outcome of the second draw depends on the outcome of the first one (only in the case where we take two books from the same shelf)
Then the pair of dependent events is:
A: because in both cases we choose a book from the same shelf
D: because in both cases we choose a book from the top shelf.
What is the length of PO
These are similar triangles, therefore their sides are proportional.
36 / 24 = PO / 36
24PO = 1296
PO = 54
Hope this helps!
A 42 gallon hot water tank hose 350 pounds of water what weight of water at 53 gallon tank hold
Answer:
441.66667 pounds
Step-by-step explanation:
divide 350/42 then multiply the quotient by 53
Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- face roughness of coated interior pipe used in oil fields, Exercise 7.26 (p. 311). The data (in micrometers) for 20 sampled pipe sections are reproduced in the table on p. 391.
a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, H, differs from 2 micrometers.
b. The results of the test, part a, are shown in the MINITAB printout at the bottom of the page. Locate the test statistic and p-value on the printout.
The minitab report isn't given.
Answer:
H0 : μ = 2 um
H1 : μ ≠ 2 um
Step-by-step explanation:
The mean surface roughness of coated interior pipe is given as 2um.
This refers to the population mean, μ = 2 um
Therefore, the null hypothesis which usually aligns with the population mean value will be stated as :
H0 : μ = 2 um
The alternative hypothesis is used to test the claim that the mean surface roughness is different from 2 ; hence no direction is given, this is thus a 2 - tailed test
H1 : μ ≠ 2 um
With the help of scientists, farmers in the United Kingdom have been able to produce more and more grain per hectare each year. Here are the crop yields for several years:
Assuming that this trend continues, what crop yield is predicted for the year 2020 by the model? Round your answer to the nearest whole number. You must find the linear regression equation first.
A. 8,603 kg/ha
B. 8,232 kg/ha
C. 9,447 kg/ha
D. 7,382 kg/ha
Crop yield prediction in year 2020 is 9,447 kg/ha
What is linear regression ?Linear regression is an analytic statistical approach for predicting the relationships between an independent variable that determines the values of of or more dependent variables.
From the data given in the question
Equation of a straight line is y = a + bx
∑y = an + b∑x
∑xy = a∑x +b∑x²
The values are calculated in the table given below
X y x=X-1985 x² xy
1961 3090 -24 576 -74160
1968 4040 -17 289 -68680
1987 5830 2 4 11660
1992 5680 7 49 39760
2001 7630 16 256 122080
2004 8020 19 361 152380
_ _ _ _ _
∑x =11913 ∑y=34290 ∑x=3 ∑x²=1535 ∑xy=183040
Substituting the values
6a + 3b = 34290
3a + 1535b = 183040
solving the two by suitable elimination
6a + 3b = 34290
3(2a+b) = 3×11430
2a + b = 11430....(i)
and 3a + 1535b=183040....(ii)
a=173620/3067 = 5660.91
Putting a=5660.91 in (i)
2(5660.91) + b = 11430
b = 108.81
∴ a = 5660.91 and b = 108.81
Now substituting the values in the equation y=a+bx
y = 5660.91 + 108.81x
y = 5660.91 + 108.81(X-1985)
∴In 2020
y =5660.91 +108.81(2020 - 1985)
y = 9447.245
Learn more about Statistics here :
https://brainly.com/question/22661717
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2 2/3 +2 2/3 + 2 2/3 +2 2/3
Answer:
10.6666666667 is your answer
just round this to the nearest tenth
9514 1404 393
Answer:
10 2/3
Step-by-step explanation:
Multiplication works nicely on problems involving repeated addition:
2 2/3 +2 2/3 + 2 2/3 +2 2/3 = 4 × (2 2/3) = 4×2 +4×2/3 = 8 +8/3
= 8 + 2 2/3 = 10 2/3
Which phrase best describes a theorem in an axiomatic system?
A.
the accepted meaning of a term
B.
an assumption made with little supporting evidence
C.
an accepted fact that cannot be proven
D.
a statement proven to be true using logic
E.
a list of geometric facts
The answer is to the question is D
Answer:
hope it's help you (: for your answer
in order to apply the law of cosines to find the length of the side of a triangle, is it enough to know which of the following?
A. The area of a triangle
B. The lengths of two of the triangle's sides and the measure of the angle between them
C. At least two of the angles of the triangle and the length of one of its sides
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Answer:
B. The lengths of two of the triangle's sides and the measure of the angle between them
Step-by-step explanation:
The usual formulation of the law of cosines is something like this:
c² = a² +b² -2ab·cos(C)
where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.
_____
Additional comment
One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.
Answer:
The answer is B.)
Step-by-step explanation:
Part C of Jim and his dad are building a rectangular flower bed.
If Jim and his dad decide to decrease the width of the flower bed from 15 feet, what happens to its length?
A man invested N80 at a certain rate of simple interest. If at the end of 5 years the money amounted to N88, what was the rate of simple interest paid?
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Answer:
2%
Step-by-step explanation:
The amount of interest is the difference between the total amount and the principal amount:
N88 -N80 = N8 . . . . the amount of interest
The interest amount is given by the formula ...
I = Prt
Solving for r, we find ...
r = I/(Pt) = 8/(80×5) = 1/50 = 2%
The rate of simple interest paid was 2%.
Problem
Combine the like terms to create an equivalent expression:
y−(−3y)
please someone explain to me how to do this?
Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
h= 60
g= 120
m= 147
k= 33
Step-by-step explanation:
We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.
This immediately helps with angle h:
120 + h = 180
h = 60
As well as m:
33 + m = 180
m = 147
There are two ways to solve the next part:
First and most familiar way:
h + g = 180
60 + g = 180
g = 120
and:
m + k = 180
147 + k = 180
k = 33
The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.
Corinne solved the equation below:
5x = 95
5x − 5 = 95 − 5
x = 90
Is Corinne's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Answer: she is NOT correct the answer should be X= 19
How?:
the equation was 5x = 95
the 5 and x is being multiplied the opposite of multiplication is dividing
so 95/5= 19
therefor x= 19 and NOT 90
Simplify[tex]\frac{9x^{16} }{6(x^{2} )^{3}x^{2} } }[/tex]
Answer:
[tex]\displaystyle \frac{3x^8}{2}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex] Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{9x^{16}}{6(x^2)^3x^2}[/tex]
Step 2: Simplify
Exponential Rule [Powering]: [tex]\displaystyle \frac{9x^{16}}{6x^6x^2}[/tex]Exponential Rule [Multiplying]: [tex]\displaystyle \frac{9x^{16}}{6x^8}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{9x^8}{6}[/tex]Simplify: [tex]\displaystyle \frac{3x^8}{2}[/tex]Convert the following fraction to a decimal.
1/3
A. 0.3
B. 0.03
C. 0.303
D. 3.9
Answer:
Option A, 0.3
Step-by-step explanation:
Step 1: Convert the fraction into a decimal
Technically, 1/3 is an irrational number meaning that it never ends. However, if we round it, it would round to 0.3 since 1/3 = 0.3333333.....
Answer: Option A, 0.3
Put the following decimals in order, starting with the smallest at the top.
Smallest
5.76
55.706
50.67
50.765
5.07
Answer:
nxkckcbdhdjdmdndhdjdkdkdnd
Catriona spotted a major problem having to do with patient billing. A number of people may have received the wrong bills. When should she have told her boss? O a) When she was evaluating how to alert the patients O b) After she sent patient notices out c) When she first noticed the problem O d) After she decided on a communication plan
Answer:
C
Step-by-step explanation:
When she first noticed the problem
Graph the line. y = -5x + 1
use the figure to find x
Answer:
there is not enough information
Step-by-step explanation:
you have to have either x or y to answer the question
FIND THE LENGTH OF MP
Answer:
D.21
Step-by-step explanation:
MP=MV - PV= 67 -46 = 21
the table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!!!!!!!!!!
QUICK PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]y=-2x+6[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex], where [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.
To find the slope of a line that passes through two points [tex](x_1, x_2)[/tex] and [tex](y_1, y_2)[/tex], use the slope formula:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)[/tex]
The slope of the line that passes through these two points is:
[tex]m=\frac{6-4}{0-1}=\frac{2}{-1}=-2[/tex]
Now substitute [tex]m=-2[/tex] and any point to solve for [tex]b[/tex]:
[tex]y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6[/tex]
Therefore, the slope-intercept form of a line that is represented by the table is [tex]\boxed{y=-2x+6}[/tex]
Find the ratio of A : B: C when
(a) A : B = 3 : 5 A : C = 6 : 7
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Answer:
A : B : C = 6 : 10 : 7
Step-by-step explanation:
The A value is common to both ratios. In order to form the ratio A:B:C we must have the number of ratio units representing A be the same in both A:B and A:C. That number must be the least common multiple of 3 and 6, which is 6.
Multiplying the first ratio by 2, we have ...
A : B = 6 : 10
A : C = 6 : 7
So, we can write the triple ratio as ...
A : B : C = 6 : 10 : 7
Match the numerical expressions to their simplest forms.
Answer:
[tex](a^6b^1^2)^\frac{1}{3}[/tex] = [tex]a^2b^4[/tex]
[tex]\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}[/tex] = [tex]a^3b^2[/tex]
[tex](\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}[/tex] = [tex]a^2b[/tex]
[tex](\frac{a^3}{ab^-^6})^\frac{1}{2}[/tex] = [tex]ab^3[/tex]
Step-by-step explanation:
Simplify each of the expressions:
1
[tex](a^6b^1^2)^\frac{1}{3}[/tex]
Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.
[tex](a^6b^1^2)^\frac{1}{3}[/tex]
[tex]a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}[/tex]
Simplify,
[tex]a^2b^4[/tex]
2
Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.
[tex]\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}[/tex]
Rewrite as square roots:
[tex]\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}[/tex]
A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:
[tex]\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}[/tex]
Simplify,
[tex]\sqrt{a^5b^3}*\sqrt{ab}[/tex]
Since both numbers are under a radical, one can rewrite them such that they are under the same radical,
[tex]\sqrt{a^5b^3*ab}[/tex]
Simplify,
[tex]\sqrt{a^6b^4}[/tex]
Since this operation is taking the square root, divide the exponents in half to do this operation:
[tex]a^3b^2[/tex]
3
[tex](\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}[/tex]
Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:
[tex](\frac{a^8}{b^-^4})^\frac{1}{4}[/tex]
Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,
[tex](a^8b^4)^\frac{1}{4}[/tex]
This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,
[tex]\sqrt[4]{a^8b^4}[/tex]
SImplify, divide the exponents by (4) to simulate taking the quartic root,
[tex]a^2b[/tex]
4
[tex](\frac{a^3}{ab^-^6})^\frac{1}{2}[/tex]
Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).
[tex](a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}[/tex]
[tex](a^2b^6)^\frac{1}{2}[/tex]
Rewrite to the half-power as a square root,
[tex]\sqrt{a^2b^6}[/tex]
Simplify, divide all of the exponents by (2),
[tex]ab^3[/tex]
Consider the function f(x)=10^x and function g. G(x)=f(x+4)
how will the graph of function g differ from the graph of function f?
A. The graph of function g is the graph of function f shifted 4 units down
B. Shifted 4 units to the left
C, shifted 4 units up
D. Shifted 4 units to the right
the top answer correct :)
1. Which of the following will simplify to the
correct solutions of y = 2x2 + 5x - 7?
Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
y = 2x² + 5x - 7
By comparing this equation with y = ax² + bx + c
a = 2, b = 5 and c = -7
Solution of the polynomial (2x² + 5x - 7) can be determined by the quadratic formula,
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a, b and c.
[tex]x=\frac{-5\pm \sqrt{5^2-4(2)(-7)}}{2(2)}[/tex]
[tex]=\frac{-5\pm \sqrt{25+56} }{4}[/tex]
Therefore, Option B will be answer.
What does he call "Squaring"?
When someone has a funny head
When you double a number
When you multiply a number by itself
Answer:
when you multiply a number by itself
Step-by-step explanation:
somebody help
what is the solution to the equation
Answer:
B
Step-by-step explanation:
[tex] \sqrt[3]{x - 1} = - 4 \\ {( \sqrt[3]{x - 1} )}^{3} = { - 4}^{3} \\ x - 1 = - 64 \\ x = - 64 + 1 \\ x = - 63[/tex]
Can somebody help me please
fill in each blank with a true statement
Answer:
See below.
Step-by-step explanation:
7.)
Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.
8.)
Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.
9.)
Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.
Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.
10.)
Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.
