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2 years ago

Multiply then simplify radicals 3^√9 × 3^√-24 <-- are both cube root √8y^5 × √40y^2

Mathematics

1 answer:

Gemiola [76]2 years ago

5 0

Step-by-step explanation:

∛9 × ∛-24

∛-216

∛(-6)³

-6

√(8y⁵) √(40y²)

√(320y⁷)

√(64y⁶ × 5y)

8y³√(5y)

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Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .

nataly862011 [7]

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

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2 years ago

Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing s

GREYUIT [131]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

$N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43$

$\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}$

$=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976$

P-value= $CHIDIST(0.032976,1) = 0.86.$

thus, the surgical-medical patients and Medicare are dependent.

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2 years ago

Does the graph display a function?<br>

PolarNik [594]

No it does not it would have to be a straight line

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2 years ago

Read 2 more answers

A number changed to 3.25 after it was rounded. To what place was the number rounded?

aalyn [17]

The number was rounded to the nearest hundredth.

Before it was rounded, it was somewhere between 3.2450 and 3.2549999 .

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3 years ago

Read 2 more answers

A sample of 500 people are asked,"If you could have a new vehicle, would you want asport utility vehicle or a car?" The result o

kykrilka [37]

The complete table would be the follwing:

To get this probability, we take the total number people who pefer an SUV, and divide it by the total number of people in the sample

$P(S)=\frac{210}{500}$

To get this probability, we take the total number of females, and divide it by the total number of people in the sample

$P(F)=\frac{315}{500}$

To get this probability, we take the total number of females who pefer a car, and divide it by the total number of people in the sample

$P(F\cap C)=\frac{263}{500}$

$\begin{gathered} P(F\cup S)=P(F)+P(S)-P(F\cap S) \\ \rightarrow P(F\cup S)=\frac{315}{500}+\frac{210}{500}-\frac{52}{500} \\ \\ \Rightarrow P(F\cup S)=\frac{473}{500} \end{gathered}$

$\begin{gathered} P(S|M)=\frac{P(S\cap M)}{P(S)} \\ \\ \rightarrow P(S|M)=\frac{\frac{158}{500}}{\frac{210}{500}} \\ \\ \Rightarrow P(S|M)=\frac{158}{210} \end{gathered}$

$\begin{gathered} P(M|S)=\frac{P(M\cap S)}{P(S)} \\ \\ \rightarrow P(M|S)=\frac{\frac{158}{500}}{\frac{185}{500}} \\ \\ \Rightarrow P(M|S)=\frac{158}{185} \end{gathered}$

In the final question we're being asked for:

$P((M\cap S)\cap(M\cap C))$

This is:

$P(M\cap S)\cdot P(M\cap C)$ $\frac{158}{500}\cdot\frac{27}{500}=0.017$

Therefore, this probability is 0.017

8 0

6 months ago