Find x in this proportion. 5/2x =25/4 x = 2/5 5/2 4/5 8/5

What is the common difference in this sequence?{48, 32, 16, 0, ...

julia-pushkina [17]

The common difference in this sequence is -16 because each number decreases by 16 from the last

8 0

2 years ago

Read 2 more answers

App 19.study

lions [1.4K]

Answer:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

Step-by-step explanation:

Given

$n = 125$

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

$Pr = \frac{Frequency}{n}$

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

$Pr(2) = \frac{13}{125} = 0.104$

$Pr(4) = \frac{29}{125} = 0.232$

$Pr(6) = \frac{6}{125} = 0.048$

When the frequency is to be calculated, we use:

$Pr = \frac{Frequency}{n}$

$Frequency = n * Pr$

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

$Frequency(3) = 125 * 0.144 = 18$

$Frequency(5) = 125 * 0.296 = 37$

For roll of 1 where the frequency and the probability are not known, we use:

$Total \ Frequency = 125$

So:

Frequency(1) added to others must equal 125

This gives:

$Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125$

$Frequency(1) + 103 = 125$

Collect like terms

$Frequency(1) =- 103 + 125$

$Frequency(1) =22$

The probability is then calculated as:

$Pr(1) = \frac{22}{125}$

$Pr(1) = 0.176$

So, the complete table is:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

5 0

3 years ago

All the info is in the pictures

Hunter-Best [27]

Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus

$\bf |-n|=
\begin{cases}
+(-n)\\
-(-n)
\end{cases}\implies 
\begin{cases}
-n\\
n
\end{cases}
\\\\\\
n|-n|=2n\implies 
\begin{cases}
n-n=2n\implies 0=2n\implies &0=n\\
n+n=2n\implies 2n=2n\impliedby &inconsistent
\end{cases}$

6 0

3 years ago

Solve this equation: 85-(6x+11)=6(x+8)+x

Lady_Fox [76]

85−(6x+11)=6(x+8)+x
Step 1: Simplify both sides of the equation.85−(6x+11)=6(x+8)+x85+−1(6x+11)=6(x+8)+x(Distribute the Negative Sign)85+−1(6x)+(−1)(11)=6(x+8)+x85+−6x+−11=6(x+8)+x85+−6x+−11=(6)(x)+(6)(8)+x(Distribute)85+−6x+−11=6x+48+x(−6x)+(85+−11)=(6x+x)+(48)(Combine Like Terms)−6x+74=7x+48−6x+74=7x+48Step 2: Subtract 7x from both sides.−6x+74−7x=7x+48−7x−13x+74=48Step 3: Subtract 74 from both sides.−13x+74−74=48−74−13x=−26Step 4: Divide both sides by -13.−13x−13=−26−13x=2Answer:
x=2

3 0

3 years ago

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Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What

erma4kov [3.2K]

Answer:

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

$\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}$