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3 years ago

If your dividend is six and three tenths and your divisor is equal to ten cubed. What is you quotient

Mathematics

1 answer:

sweet [91]3 years ago

8 0

Will actually no because your divide so you will do six divided by 3 thats give you 2

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According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that

WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

$P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}$

$=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145$

Hence, the required probability is 0.01145.

5 0

3 years ago

Mr. Flanders’ class sold doughnuts for $1.35 each and Mr.Rodriquez’s class sold cartons of milk for $1.08 each together the clas

saul85 [17]

Answer:

Part A: Let, the number of doughnuts = x and the number of carton milk = y.

Part B: We have, Mr. Flanders sold doughnut for $1.35 each and Mr. Rodriquez sold milk for $1.08 each.

As, they sold 85 items in total.

Thus, x + y = 85.

Moreover, they both earned $104.49 in total.

So, 1.35x + 1.08y = 104.49.

Hence, we get the system of equations,

1.35x + 1.08y = 104.49

x + y = 85.

Part C: Now, we will solve the system of equations,

As, x + y = 85 ⇒ y = 85 - x.

As, 1.35x + 1.08y = 104.49 ⇒ 1.35x + 1.08(85-x) = 104.49 ⇒ 1.35x + 91.8 - 1.08x = 104.49 ⇒ 0.27x = 12.69 ⇒ x = 47.

So, y = 85 - 47 ⇒ y = 38.

Thus, x = 47 and y = 38 is the solution.

Part D: Hence, we get that,

Number of doughnuts sold by Mr. Flanders is 47 and the number of carton milk sold by Mr. Rodriquez is 38.

4 0

2 years ago

-25 Points-

Over [174]

$\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{8}}{\sqrt[3]{125}}\implies \cfrac{s}{s}=\cfrac{2}{5}\qquad \leftarrow \textit{ratio of the sides or scale factor}$

8 0

2 years ago

Every orthogonal matrix is diagonalizable. O True O False

Simora [160]

Answer:

FALSE

Step-by-step explanation:

the correct answer is FALSE

A matrix is said to be orthogonal when it is multiplied by its own transpose then the matrix comes out to be Identity.

$A^T.A = I$

the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.

but an orthogonal matrix is not necessarily symmetric so, the statement is false.

5 0

2 years ago

Find the first, fourth, and eighth terms of the sequence. A(n) = −2 ∙ 2^x − 1

geniusboy [140]

$a_n=-2\cdot2^{n-1}\\\\n=1\to a_1=-2\cdot2^{1-1}=-2\cdot2^0=-2\cdot1=-2\\\\n=4\to a_4=-2\cdot2^{4-1}=-2\cdot2^3=-2\cdot8=-16\\\\n=8\to a_8=-2\cdot2^{8-1}=-2\cdot2^7=-2\cdot128=-256\\\\Answer:\ C. -2;\ -16;\ -256$

3 0

2 years ago

Read 2 more answers