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1 year ago

Division of fraction 3/5 divided by 10/11

Mathematics

2 answers:

inna [77]1 year ago

5 0

Division of fractions is the same as cross multiplication.

3/5 * 11/10 = 33/50 or .66

Tema [17]1 year ago

3 0

3/5 ÷ 10/11
multiply by the inverse

3/5 x 11/10 = 33/50

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Find the equation of a line parallel to -3x-5y=4 that contains the point (4,3). Write the equation and slope intercept form

allsm [11]

Answer:

y= 10

Step-by-step explanation:

-3x-5y=4

+3x +3x

-5y=7x

+5y +5y

y= 10

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1 year ago

A new obstacle course is home to several new types of challenging obstacles. One such obstacle is traversing a 15-stair staircas

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Answer: $22\frac{1}{2}\text{ Feet}$

Step-by-step explanation:

Here, the vertical space between two consecutive stairs in first 10 stairs = $1\frac{1}{3}\text{ feet}$

⇒ The total vertical distance for 10 stairs = $10\times 1\frac{1}{3}=10\times \frac{4}{3}=\frac{40}{3}\text{ feet}$

Also, The vertical space between two consecutive stairs for last 5 stairs = $1\frac{3}{4}\text{ feet}$

⇒ The total vertical distance for 10 stairs = $10\times 1\frac{1}{3}=5\times \frac{7}{4}=\frac{35}{4}\text{ feet}$

Thus, The total vertical distance = Total vertical space for the first 10 stairs + Total vertical space for the last 5 stairs

= $\frac{40}{3} + \frac{35}{4}$

= $\frac{160+105}{12}$

= $\frac{265}{12}$

= $22\frac{1}{2}\text{ Feet}$

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1 year ago

During the 2015-16 NBA season, J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 . Assume th

ser-zykov [4K]

Answer: 0.5898

Step-by-step explanation:

Given : J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 .

We assume that,

The probability that .J. Redick makes any given free throw =0.901 (1)

Free throws are independent.

So it is a binomial distribution .

Using binomial probability formula, the probability of getting success in x trials :

$P(X=x)^nC_xp^x(1-p)^{n-x}$

, where n= total trials

p= probability of getting in each trial.

Let x be binomial variable that represents the number of a=makes.

n= 14

p= 0.901 (from (1))

The probability that he makes at least 13 of them will be :-

$P(x\geq13)=P(x=13)+P(x=14)$

$=^{14}C_{13}(0.901)^{13}(1-0.901)^1+^{14}C_{14}(0.901)^{14}(1-0.901)^0\\\\=(14)(0.901)^{13}(0.099)+(1)(0.901)^{14}\ \ [\because\ ^nC_n=1\ \&\ ^nC_{n-1}=n ]\\\\\approx0.3574+0.2324=0.5898$

∴ The required probability = 0.5898

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1 year ago

Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily

Irina-Kira [14]

Answer

Step-by-step explanation:

D is correct because 1,400-400= 1,000

so he can only consume 1,000 more calories so 1,200 will cause him to go over 2,000

3 0

1 year ago

The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.

DochEvi [55]

Answer:

There are two rational roots for f(x)

Step-by-step explanation:

We are given a function

$f(x) = x^6-2x^4-5x^2+6$

To find the number of rational roots for f(x).

Let us use remainder theorem that when

f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.

Substitute 1 for x

f(1) = 1-2-5+6=0

Hence x=1 is one solution.

Let us try x=-1

f(-1) = 1-2-5+6 =0

So x =-1 is also a solution and x+1 is a factor

We can write f(x) by trial and error as

$f(x) = (x-1)(x+1)(x^2-3)$

We find that $f(x) (x^2-3)$ factor gives two irrational solutions as

±√3.

Hence number of rational roots are 2.

5 0

1 year ago

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