Larissa is ordering nachos at a restaurant, and the server tells her that she can have up to four toppings: ground beef, black beans, refried beans, and sour cream. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Larissa gets just refried beans and sour cream

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.

Answer:

there is not enough information

Step-by-step explanation:

you have to have either x or y to answer the question

Answer:

D.21

Step-by-step explanation:

MP=MV - PV= 67 -46 = 21

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]

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.

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]

9514 1404 393

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

Answer:

when you multiply a number by itself

Step-by-step explanation:

Crop yield prediction in year 2020 is 9,447 kg/ha

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

#SPJ5

Answer:

nxkckcbdhdjdmdndhdjdkdkdnd

Answer:

[tex]\displaystyle \frac{3x^8}{2}[/tex]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{9x^{16}}{6(x^2)^3x^2}[/tex]

Step 2: Simplify

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]

Answer:

441.66667 pounds

Step-by-step explanation:

divide 350/42 then multiply the quotient by 53

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

the top answer correct :)

9514 1404 393

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:

The answer is to the question is D

Answer:

hope it's help you (: for your answer

These are similar triangles, therefore their sides are proportional.

36 / 24 = PO / 36

24PO = 1296

PO = 54

Hope this helps!

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.

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]

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.

Answer:

C

Step-by-step explanation:

When she first noticed the problem

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

9514 1404 393

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%.

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

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