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3 years ago

20 POINTS Evaluate the expression 34 ÷ (14 − 5) × 2.

Mathematics

2 answers:

VLD [36.1K]3 years ago

8 0

7.5
thats the answer i got for this

MariettaO [177]3 years ago

7 0

It should be 7.5.

Hope I could help!

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Can you solve d-3/5=6 before multiplying by 5 reasoning yes or no and why?

Luda [366]

Answer:

yes you can

apart from getting rid of the denominator you can collect like terms

Step-by-step explanation:

d=6-3/5

6=30/5

30/5-3/5

27/5

d=27/5

5 0

3 years ago

Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar

bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\$

A. P(x=6)

$P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\$

B. P(x≥10)

$P(x\geq10)=1-P(x$

$P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\$

$P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\$

$P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713$

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

$E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17$

4 0

3 years ago

Select the correct answer.

Phantasy [73]

Answer:

Alia has 11 jelly beans.

Step-by-step explanation:

4^2= 163^3= 2727-16=11

8 0

3 years ago

Need help pls!!!! Algebra

PtichkaEL [24]

Answer:

Step-by-step explanation:

6 0

2 years ago

Find the volume of a right circular cone that has a height of 17.5 ft and a base with a diameter of 6.1 ft. Round your answer to

julia-pushkina [17]

Answer:
volume of cone = 170.5 ft³

Explanation:
The volume of the right circular cone can be calculated as follows:
volume = $\frac{1}{3} * \pi *r^2 *h$

We are given that:
diameter = 6.1 ft.......> This means that: radius (r) = 6.1 / 2 = 3.05 ft
height (h) = 17.5 ft

Substitute with the givens in the above equation to get the volume as follows:
volume = $\frac{1}{3} * \pi *(3.05)^2*17.5$

volume = 170.477 which is approximately 170.5 ft³

Hope this helps :)

6 0

3 years ago