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3 years ago

13

If you flip a coin three times, the possible outcomes are hhh, hht, hth, htt, thh, tht, tth, ttt. what is the probability of get

ting at least one head

1 answer:

Bezzdna [24]3 years ago

5 0

The probability of at least one head is 7 out of 8

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A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is

Maurinko [17]

Set up your two equations:
<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
<span>3x+7(2.75)=25 </span>
<span>X=3.75 this is you cost per pound of jelly beans</span>

6 0

3 years ago

Helppp 8th grade algebra <br> C. Six units left<br> D.six units right

yanalaym [24]

D, six units to the right. This is the answer because the pre-image is six to the left of the newest image. Just count the spaces away!

5 0

4 years ago

If the range of the function f(x)=x/4 is {28, 30, 32, 34, 36}, what is its domain?

avanturin [10]

Y = x/4
x = 4y
domain = {4(28), 4(30), 4(32), 4(34), 4(36)} = {112, 120, 128, 136, 144}

4 0

3 years ago

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk

S_A_V [24]

Answer:

Patrick walk approximately <u>112 yards</u>.

Step-by-step explanation:

Given:

A rectangular field is 50 yards wide and 100 yards long.

Patrick walks diagonally across the field.

Now, to find the distance he walk.

Length of the field = 100 yards.

Width of the field = 50 yards.

Now, to get the diagonal distance we put formula:

$Diagonal = \sqrt{length^2+width^2}$

$Diagonal = \sqrt{100^2+50^2}$

$Diagonal = \sqrt{10000+2500}$

$Diagonal = \sqrt{12500}$

$Diagonal = 111.80$

Therefore, Patrick walk approximately 112 yards.

6 0

3 years ago