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RoseWind [281]
2 years ago
9

Flashback Practice

Mathematics
1 answer:
VashaNatasha [74]2 years ago
4 0

Step-by-step explanation:

We make "x" the subject of formula

2x = 11 + 5

(-5 changes to +5 because it's crossing over the equal to sign =)

2x = 16

(divide both sides by the coefficient of x)

2x ÷ 2 = 16 ÷ 2

X = 8

2. x /4 + 2 = 3

(we solve the Left Hand Side first by finding the LCM)

x/4 + 2

x + 8 = 3

‐---‐------

4

(cross multiply)

x + 8 = 4(3)

x + 8 = 12

x = 12 - 8

x = 4

3. 2(x - 7) = 3x + 10

(2 multiplies the entire bracket)

2x - 14 = 3x + 10

(collect like terms)

2x - 3x = 14 + 10

-x = 24

(multiply both sides by the negative sign "-")

x = -24

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Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da
fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0
3 years ago
Which inverse operation would be used to solve n – 7 = 15?
balu736 [363]
The inverse of subtraction is addition
3 0
2 years ago
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PLS ANSWER THIS ASAP
Alona [7]
It is the first answer choice
5 0
2 years ago
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How much more interest is owed on $900 for 9 months then for 6 months? 6 months = 2.4% rate 9 months = 2.9% rate
stiv31 [10]
Keeping in mind that 6 months is not even a year, since there are 12 months in a year, then 6 months is really 6/12 years, and 9 months is 9/12 years, then


\bf ~~~~~~ \textit{Simple Interest Earned on 9 months}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$900\\
r=rate\to 2.9\%\to \frac{2.9}{100}\to &0.029\\
t=years\to \frac{9}{12}\to &\frac{3}{4}
\end{cases}
\\\\\\
I=900(0.029)\left( \frac{3}{4} \right)\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned on 6 months}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$900\\
r=rate\to 2.4\%\to \frac{2.4}{100}\to &0.024\\
t=years\to \frac{6}{12}\to &\frac{1}{2}
\end{cases}
\\\\\\
I=900(0.024)\left( \frac{1}{2}\right)

check their difference, that much.
6 0
3 years ago
Pleas help! It’s due soon and I don’t have much time. :(
KonstantinChe [14]

Answer:

5) n * n * n * n * 6 * 6 * 6

6) 9 * 9 * x * x * x

7) 3 * 3 * 3 * y * y

Step-by-step explanation:

4 0
2 years ago
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