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katen-ka-za [31]

3 years ago

13

Solve |p + 2| = 10 {-12} {-8, 8} {-12, 8}

1 answer:

Lena [83]3 years ago

3 0

Hello.

The symbols | | mean the absolute value, which is keeps the numbers postive.

Of the answers shown, the correct answer is {-8, 8) because |-8 + 2| = 10, because of the absolute value symbols | |. (Also |8 + 2| of course equals 10.)

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Tema [17]

Step-by-step explanation:

Just sum the number of cows and buffaloes:

2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.

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2 years ago

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The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true

Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478$

<u>Part B</u>

$P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767$

<u>Part C</u>

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2 years ago

Solve for U <br><br> 11=8+u/7.68

BlackZzzverrR [31]

$\begin{gathered}\\ \sf\longmapsto 11=\frac{8+u}{7.68}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 11 = \frac{8 + u}{ \frac{192}{25} } \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 11=\frac{(8+u)×25}{192}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 11=\frac{200+25u}{192}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 2112=200+25u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 2112-25u=200\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -25u=200-2112\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto -25u=-1912\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto u=\frac{1912}{25}\end{gathered}$

<u>Alternate form:</u>

<u>u</u><u>=</u><u>76.48</u>

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Find the inverse of y=4^x

sladkih [1.3K]

Answer:

ln⁡x/ln⁡4

Step-by-step explanation:

Given

y=4^x

In order to find the inverse of the function the first step is to replace the y with x and x with y

So,

Replacing x with y and y with x

x= 4^y

We have to find the value of y explicitly to find the invers.

The above equation can also be written as:

4^y=x

As the variable is in exponent, to bring it down, ln has to be taken on both sides.

ln⁡ 4^y =ln⁡ x

The power of will be multiplied with the ln.

y ln⁡4=ln⁡x

y=ln⁡x/ln⁡4

So,

The inverse is ln⁡x/ln⁡4 ..

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3 years ago

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