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3 years ago

Name the property:

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

Answer:

B. Commutative property of multiplication

Step-by-step explanation:

Neporo4naja [7]3 years ago

5 0

Answer:

B. Commutative Property of Multiplication

Step-by-step explanation:

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I need help on this math problem:

sertanlavr [38]

Answer:

Step-by-step explanation:

11x-4<15

11x<11

x<1

12x-7>-25

12x>-18

x>-3/2

x<1 or x>-3/2, that covers the whole x-axis domain

5 0

3 years ago

Read 2 more answers

Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?

frosja888 [35]

Answer

Find out the what is the ratio of students with pets to students without pets .

To prove

As given

of 60 students, 24 students have a pet.

Thus Total number of student = 60

students have pets = 24

students without pets = 60 - 24

= 36

Now ratio of students with pets to students without pets .

$\frac{Student\ with\ pets}{Students\ without\ pets} = \frac{24}{36}$

simplify the above

$\frac{Student\ with\ pets}{Students\ without\ pets} = \frac{2}{3}$

Therefore the ratio of students with pets to students without pets be 2:3 .

Hence proved

4 0

3 years ago

Read 2 more answers

Write the equation of a line with slope m=2 and point 0,0

Harman [31]

Hello :
the line passes by O(0,0) : an equation is : y = mx
so : y=2x.....(the equation of a line with slope m=2 and point (0,0))

7 0

4 years ago

Read 2 more answers

Which logarithmic equation is equivalent to the exponential equation below? e^4x = 5 (the x is part of the ^4 exponent) A. log 5

GalinKa [24]

Keep in mind that "ln" is just a shortcut for the logarithm with a base of "e".

$\bf \textit{exponential form of a logarithm}\\\\
log_{{ a}}{{ ( b)}}=y \implies {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\implies log_{{ a}}{{(b)}}=y \\\\
-------------------------------\\\\
e^{4x}=5\implies log_e(5)=4x\implies ln(5)=4x$

8 0

4 years ago

Read 2 more answers

General Hospital has noted that they admit an average of 9 patients per hour.

serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

The complete question is: General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= 0.00623

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= 0.00416

3 0

3 years ago