Erin tried to multiply 70 x 30 by decomposing 70 and 30 into multiples of 10. Her work is below.

A-Step 1
B-Step2
C-Step3
D-Step4
E-Erin did not make a mistakes.

The bar graph represents the value of Profit (X) for the different probabilities of stocks x and y.

It can be drawn as follows.

Let x and y denote the two stocks .

The probability of success of x is p=50%= 50/100=1/2 = 0.5

The probability of failure of x is q= 50%= 50/100= 1/2= 0.5

Similarly

The probability of success of y is p=50%= 50/100=1/2 = 0.5

The probability of failure of y is q= 50%= 50/100= 1/2= 0.5

Then their joint distribution can be calculated from the following table.

        x              0.5               0.5               h(y)

y

0.5                  0.25            0.25              0.5

0.5                  0.25             0.25             0.5

g(x)                 0.5                 0.5               1.0

It is evident from the data that x and y have the same probability at each point  when both x and y are at

But the random variable X will have different values for

For the bar graph click

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The bar graph will appear as follows.

Answer:

Step-by-step explanation:

Answer:

62.96%

Step-by-step explanation:

do this

51/81 ×100%

Answer:62.953%

Step-by-step explanation:

81 * (%) = 51

% = 51 / 81

% = 62.953

Scatter plots are used to relate variables using scattered dots.

The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

From the graph, we can see that the number of baskets made in 14 minutes is 12.

Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.

This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.

The closest to 12 baskets in the option is 14.

Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

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Answer:

A

Step-by-step explanation:

can't tell you

Answer:

  multiply by (3-√7)/(3 -√7) and simplify

Step-by-step explanation:

When there are radicals or complex numbers in the denominator, you can rewrite the expression so it has a real, rational denominator. You do this by multiplying numerator and denominator by the conjugate of the denominator. That value is the denominator with its sign changed.

This takes advantage of the factoring of the difference of squares.

  (a -b)(a +b) = a² -b²

__

  [tex]\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\times\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-(\sqrt{7})^2}=\dfrac{2}{9-7}\times(3-\sqrt{7})\\\\=\boxed{3-\sqrt{7}}[/tex]

Answer:

D -1

Step-by-step explanation:

[tex]-6(3a+4)=3a-3[/tex]

[tex]-18a-24=3a-3[/tex]

[tex]-18a-3a=-3+24[/tex]

[tex]-21a=21[/tex]

a = [tex]\frac{21}{-21} =-1[/tex]

Hope this helps

Answer:

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

Shivalik Hills

Hope it helps to you

:-)

If 0 < x < π/2, then both sin(x) and cos(x) are positive.

From the Pythagorean identity, we then have

cos²(x) + sin²(x) = 1

⇒   cos(x) = + √(1 - sin²(x))   and   sin(x) = + √(1 - cos²(x))

Then

√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1

and

√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1

so that the overall expression reduces to

1 - 1 = 0

Step-by-step explanation:

Given the linear equation, y = ⅔x + 1, where the slope, m = ⅔, and the y-intercept, (0, 1) where b = 1.

In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the y-intercept is the point on the graph where it crosses the y-axis. It coordinates are (0, b), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.

From the y-intercept, (0, 1), we must use the slope, m =  ⅔ (rise 2, run 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.

Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.    

[tex]\huge\boxed{Hello,\:hope\:you\:are\:having\:a\:wonderful\:day.}[/tex]We are asked to graph the line y=2/3x+1.

2/3 is the slope of this line (Rise/Run)

The rise is how many units we move up; the run is how many units we move left or right.

For this line, 2 is the rise, and 3 is the run.

Now, 1 is the y-intercept. (where the graph touches the y-axis)

First, plot this point: (0,1)

Then, move 2 units up and 3 to the left (Up 2, over 3, up 2, over 3)

When you have a line, take a ruler and connect these points, and you will have the graph of y=2/3x+1.

[tex]\huge\bold{Hope\:it\:helps!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

[tex]\huge\sf{Good\:luck}[/tex]

the area of the rhombus=32cm; one diagonal (q)=18meters

p=(2×area)/q

p=(2×32)/18=18

therefore the length of the unknown diagonal is 18.

the unknown diagonal can be calculated using the perimeter of the rhombus which is given as 32cm; one diagonal (p)=18 half of this diagonal

=18÷2=9units

Answer:

it it went down 16%

Step-by-step explanation:

if you calculate it, 16 out of 19 points is 84%. this means that it went down 16%.

Explanation:

The decrease is 3 since 19-16 = 3. Divide this decrease value by the original count: 3/19 = 0.1579 = 15.79% = 16% approximately

Answer:

3

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: https://brainly.com/question/148035

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

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Answer:

Answer=C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Parallel lines hAve no solutions

Two lines intersection point gives one solution only

One single line denotes to infinite solutions

Option C is correct

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

b) since  the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

f(x)  = 2x + 1

f(-0.8) = 2(-0.8) + 1

f(-0.8) = -1.6  + 1

f(-0.8) = -0.6

Simiarly;

y = -3(-0.8)- 3

y = 2.4 - 3

y = -0.6

Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

For the point (1/3, 2), substitute x = 1/3 into both functions as shown:

x = (y+2)/2

x = (2+2)/2

x = 4/2

x = 2

Simiarly;

x + 2 = 3

x = 3-2

x = 1

Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equations

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Answer: Yes

Step-by-step explanation:

The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

Answer:

18 feet

Step-by-step explanation:

If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D

Answer:

I am 14 years old

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b

b= 7+9

b= 16

y= 3x+16

Step-by-step explanation:

while the other answer is correct, here also the way as the hint suggests :

y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9

y = 3x + 9 + 7 = 3x + 16

and there you have it : the same result just by using the point-slope form first.

Answer:

  7/9

Step-by-step explanation:

Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.

  [tex]\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}[/tex]

Answer:

At least 5 times

Step-by-step explanation:

Number of balls to be selected for having assurance of at least three balls of the same colour is equals to 5 balls.

" Without replacement means if an item is drawn from the set of items it is not kept back which represents sample space is decrease by as per the number of selection is done in first draw."

According to the question,

Number of red balls in a box = 8

Number of black balls in a box =8

As per the condition of without replacement we get,

In this case worst selection case could be

Alternate balls are of different colour

Black →Red → Black → Red → fifth ball is either Red or Black

Hence, 5balls must be selected for assuring at least three balls of the same colour .

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The probability that a randomly selected girl does not have brown hair is 34.54%.

Given that in a certain school, 45% of the students are boys, and 80% of the boys have brown hair while 50% of those with brown hair are girls, to determine what is the probability that a randomly selected girl does NOT have brown hair, the following calculation must be performed:

Therefore, the probability that a randomly selected girl does not have brown hair is 34.54%.

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Answer:

30; 41 69 :):):):):):):):)')'))'):):):):):):)):):):

Answer:

187.96cm

Step-by-step explanation:

first convert 6 feet to cm=182.88

then convert 2 inches to cm=5.08

add your answers together=187.96

[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]