For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.1. 2.What is the z-score value ofa randomly selected bag of Skittles that has35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303. What is the probability that a randomly selected bag of Skittles has at least 37Skittles? a) .152 b) .247 c) .253 d).747e).7534. What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125. What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

Answer:

b = 100°

should be the answer

the sum of two complementary angles is 90°

so 28 + ? = 90

? = 62°

here'

complementry angle means those whose sum is 90

here one angle is given so,

another angle =90-28

that is 72.ans

Answer:

a.[tex]-7 < x < 7[/tex]
b.[tex]-12 < x < 6[/tex]
c. Two answers are: y < -3 or y > 19
d. Two answers are x ≤ -17/3 or x ≥ 19/3
e. -4 ≤ y ≤ 5/2

Step-by-step explanation:

Given the following questions:

Question one:

[tex]|x| < 7[/tex]
x is less than 7
[tex]=-7 < x < 7[/tex]

Question two:

[tex]|x+3| < 9[/tex]
[tex]x+3 > -9[/tex]
[tex]3-3=0[/tex]
[tex]-9+-3=-12[/tex]
[tex]x > -12[/tex]

[tex]x+3 < 9[/tex]
[tex]3-3=0[/tex]
[tex]9-3=6[/tex]
[tex]x < 6[/tex]
x is greater than -12, while less than 6
[tex]-12 < x < 6[/tex]

Question three:

[tex]|y-8| > 11[/tex]
[tex]y-8 < -11[/tex]
[tex]-8+8=0[/tex]
[tex]-11+8=-3[/tex]
[tex]y < -3[/tex]

[tex]y-8 > 11[/tex]
[tex]-8+8=0[/tex]
[tex]11+8=19[/tex]
[tex]y > 19[/tex]
Two answers are: y < -3 or y > 19

Question four:

|3x - 1| ≥ 18
3x - 1 ≤ -18
-1 + 1 = 0
-18 + 1 = -17
3x ≤ -17
x ≤ -17/3

3x - 1 ≥ 18
-1 + 1 = 0
18 + 1 = 19
3x ≥ 19
x ≥ 19/3
Two answers are: x ≤ -17/3 or x ≥ 19/3

Question five:

|4y + 3| ≤ 13
|4y + 3| ≤ 13 = -13 ≤ 4y + 3 ≤ 13
-13 ≤ 4y + 3 ≤ 13
4y + 3 ≥ -13
3 - 3 = 0
-13 + - 3 = -16
4y ≥ -16
4 ÷ - 16 = -4
y ≥ -4

4y + 3 ≤ 13
3 + -3 = 0
13 - 3 = 10
4y ≤ 10 = 10/4 ÷ 2 = 5/2
y ≤ 5/2
-4 ≤ y ≤ 5/2

Hope this helps.

The correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

A result of zero indicates no relationship at all, therefore, independent variable.

We know that the correlation coefficient is given by the formula,

[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

r = correlation coefficient

[tex]x_{i}[/tex] = values of the x-variable in a sample

[tex]\bar{x}[/tex] = mean of the values of the x-variable

[tex]y_{i}[/tex] = values of the y-variable in a sample

[tex]\bar{y}[/tex] = mean of the values of the y-variable

Calculate the value of [tex](x_i-\bar{x})(y_i-\bar{y}),\ (x_i-\bar{x})^2,{ \rm and}\ (y_i-\bar{y})^2[/tex] each separately, and then find the sum of them as shown below, therefore, the formula can be written as,

[tex]r =\dfrac{571.5}{261.5\times 1566.833333}= 0.0014[/tex]

Hence, the correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.

Learn more about Correlation Coefficients:

https://brainly.com/question/15353989

Answer:

1. positive

2. 2.2

3. 1

Step-by-step explanation:

Answer:

multiply both sides by 3

Step-by-step explanation:

i would multiply 3 on both sides to cancel the fraction out so i dont have to work with fractions

Answer:

multiply both 3 sides

Step-by-step explanation:

real simple m

Answer:

Step-by-step explanation:

First we make the denominators the same:

2/3 = 10/15

2/5 = 6/15

Ratio: 6/15 : 10/15

Have a great day!!

Please rate and mark brainliest!!

Answer:

B

Step-by-step explanation:

Answer: B or y ≥ 1/3x − 1

Step-by-step explanation:

Got it right Edge 2020

Answer:

283024

Step-by-step explanation:

First do 532^7

The answer is 12060947473224100000

Next, do 532^-8

The answer is 1/6416424055755230000000

Multiply that number by the first number

(I don't want to type that all out again)

The answer is 1/532

Now, do the last problem. 532^3

The answer is 150568768

Multiply that number by 1/532

The answer is 283024

Hope I helped :)

Please consider Brainliest :)

(it took me so long to type that)

Answer:

x > 1

Step-by-step explanation:

3 - 2x < 1

- 2x < 1 - 3

- 2x < - 2

Divide - 2 on both sides,

- 2x / - 2 > - 2 / - 2

x > 1

Answer:

x>1

Step-by-step explanation:

Hence, x>1

Answer:

for the 1st one, m=10 and b=2 because from the word problem it says it starts at 10 which would be 10 on the y axis being where the line would pass through and spending 2 a week would be the slope because he is losing 2 per week its a negative slope so y=10x-2.

for the second one m=48 and b=44 its just like the last one but with different numbers but comment if you want me to explain it but the answer is y=48x-44.

Answer:

Option b - $163.07

Step-by-step explanation:

Given :  A loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.

To find : Monthly payment

Solution : Formula to find monthly payment

Monthly Payment = Amount / Discount factor

Discount factor

where ,

Amount = $7500

Rate= 11%=0.11

Time = 5 years

Now, put i and n in Discount factor ,

Monthly payment,

Therefore, Option b is correct monthly payment = $163.07

Answer:

The answer is $163.07

Step-by-step explanation:

To find the monthly payment:

[tex]i = \frac{0.11}{12} = 0.0091[/tex]

Time = 5 years

5 x 12 = 60

Discount factor

[tex]D = \frac{1-(1 + i) -^{n}}i[/tex]

[tex]D = \frac{1 - (1+ 0.009)-^{60} }{0.009} \\[/tex]

[tex]D = \frac{0.421}{0.009} = 46.77[/tex]

Monthly payment

[tex]\frac{7500}{46.77} = $163.07[/tex]

I know it is probably to late for your answer but if you are on Solving and Reasoning with Complex Numbers: Tutorial in Edmentum, then the answer for part D on the first lesson activity is this word for word.

This equation generalizes the patterns seen in part D, where a and b represent real numbers:

(a + bi)(a − bi) = a2 + b2.

Hope this helps good luck

first (...), after √ and squares from left to right then from left to right . and : and lastly + and -

Answer:

Your answer should be 4:9

Step-by-step explanation:

Good luck.

Answer: answer witten in the picture attached to this......

Answer:

8

Step-by-step explanation:

x = -2

the y to (-2,y) is 8

Answer:

The last one

Step-by-step explanation:

K so first look at y intercept which is +5, so we eliminate A and C, then the graph opens up so the b in ax+bx+c has to be positive which is D

the point ( 0 ; 5 ) in on the curve

so f(0) = 5

choice between :

x² - 2x + 5 or x² + 2x + 5 then :

we have the point (1 ; 4)

with x² - 2x + 5

f(1) = 1² - 2*1 + 5 = 1 - 2 + 5 = 4

so it's correct

=> x² - 2x + 5 is the right one

Answer:

17

Step-by-step explanation:

5x2=10

8 1/2x2=17

Flipping the bulbs is an illustration of sequence and patterns

17 bulbs would remain on.

The sequence of turning the bulbs off and on, would change the state of the bulbs until the 300th process.

While changing the state of the bulbs, the bulb at the perfect square positions would remain on.

There are 17 perfect square numbers between 1 and 300 (inclusive)

Hence, 17 bulbs would remain on.

Read more about sequence and patterns at:

brainly.com/question/26698448

Answer:

The volume of the balloon when it is fully cooled by my refrigerator is

2.75liters

Step-by-step explanation:

we are expected to apply Charles law in this problem and solve for the final volume V2

the expression for Charles law is give as

V1/T1=V2/T2

given data

V1, first volume = 0.5 liters

V2, second volume =?

T1, first temperature = 40 ◦Celsius.

T2, second temperature =220 °C

applying the formula we have

0.5/40=V2/220

V2=(0.5*220)*40

V2=110/40

V2=2.75liters

Answer:

c

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

since the x value has no exponent to it, and is simply on its own, it is linear

Answer:

-2

Step-by-step explanation:

The value of c is -4, therefore the additive inverse should be added to get the answer 0

The roots of the quadratic equation x² – 2x + c = 0 are a and –b. Then the value of c is a² – 2a.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

For which values of c does the quadratic equation

x² – 2x + c = 0 ...1

Two roots of opposite signs

Let the two roots of the opposite signs be a and –b

x = a, –b

Then we have factorized the equation,

(x + b)(x – a) = 0

On solving, we have

x² + (b – a)x – ab = 0 ...2

In comparing equation 2 with equation 1, we have

⇒  b – a = –2

⇒ b = –2 + a

and

⇒ c = a(a – 2) = a² – 2a

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

0 = a(2)^2 + 8

-8 = 4a

a = -8/4

a = -2

So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

The required equation of parabola with given vertex and point of passing is [tex]y=-2(x+1)^{2}+8[/tex].

Given data:

The vertex of parabola is, (-1, 8).

The vertex is passing through (1, 0).

We know that standard equation parabola is,

[tex]y=a(x-h)^{2}+k[/tex]

Here, a is any multiplier, h and k are the vertices.

From the given problem,

h = -1

k = 8

So substituting the values as,

[tex]y=a(x-(-1))^{2}+8\\y=a(x+1)^{2}+8[/tex]..............................................(1)

To obtain the value of a, we use the point where the parabola passes through which is the point (1,0). Here, x = 1 and y =0.

So,

[tex]0=a(1+1)^{2}+8\\\\a = -2[/tex]

Substitute the value of a in equation (1) as,

[tex]y=(-2)(x+1)^{2}+8\\\\y=-2(x+1)^{2}+8[/tex]

Thus, the required equation of parabola is  [tex]y=-2(x+1)^{2}+8[/tex].

learn more about the parabola here:

https://brainly.com/question/4074088

Answer:

[tex]x=3,\:y=7[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}8x+3y=45\\ 2x+3y=27\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{45-3y}{8}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{45-3y}{8}+3y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}\frac{45+9y}{4}=27\end{bmatrix}[/tex]

[tex]y=7[/tex]

[tex]\mathrm{For\:}x=\frac{45-3y}{8}[/tex]

[tex]\mathrm{Substitute\:}y=7[/tex]

[tex]x=\frac{45-3\cdot \:7}{8}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:solutions\:are}:[/tex]

[tex]x=3,\:y=7[/tex]

Answer: D

Step-by-step explanation:

Step-by-step explanation:

Given that he dimension is

9 1/2 inches wide

and 14 inches wide.

half way from 9.5 inches is

4.75in

half way from 14 inches is

7in

Therefore he put the picture at 4.75in from the top and 7in from the sides

x=32 degrees

Step-by-step explanation:

Angles in equilateral triangles are equal, each angle is 60 degrees

2x-4 =60

+4

2x = 64

÷2

x = 32

Also, y will be 12 (12x5=60)

Hope this helps!

Answer:

-1.6

Step-by-step explanation:

Because the additive inverse of any positive number is it's negative number