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Slav-nsk [51]
2 years ago
11

On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the

slide and the tire swing is 12 feet and the distance between the tire swing and the monkey bars is 20 feet, how far is the slide from the monkey bars?
Please do step by step :)
This is from IXL Y.3 8th grade math
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
5 0

Answer:

Step-by-step explanation:

Draw a picture!

You get a right triangle with hypotenuse = 20 ft and horizontal leg = 12 ft

Use the Pythagorean Theorem to find the length of the vertical leg:

vertical leg = √(20²-12²) = √256 = 16 ft

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A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a
zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}

Hence the answer is 0.1157

(ii) None is defective becomes

\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}

hence the answer is 0.4823

(iii) All are defective

\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}

(iv) At least one is defective

This is 1 - probability that none is defective

\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}

Hence the answer is 0.5177

3 0
10 months ago
If a cone shaped vase can hold 45 cubic centimeter of water and has a radius of 2 centimeters what is the height of the vase use
xz_007 [3.2K]

Answer:

The height of the vase is h=10.75\ cm

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

V=45\ cm^{3}

r=2\ cm

\pi =3.14

substitute and solve for h

45=\frac{1}{3}(3.14)(2)^{2} h

135=(3.14)(4)h

135=12.56h

h=135/12.56

h=10.75\ cm

3 0
3 years ago
Please help !! Picture provided !!!
adelina 88 [10]
Method One
Your calculator might be able to do this. Mine does it like this.
6
nCr
2  
= 
15

Method 2
You could simply set up 6C2

This gives you
\frac{n!}{(n- r)! r!} =  \frac{6!}{(6 - 2)!2!} =  \frac{6!}{4! 2!} =  \frac{6*5}{2*1} = 15

Method Three
You only have to do this a couple of times to see how the cancellation works.

\frac{6!}{4!2!} =  \frac{6*5*\st{4*3*2*1}}{4*3*2*1 * 2*1}
After all the cancellation takes place you have
6*5/2 = 15
7 0
2 years ago
Curb Side Taxi charges a flat rate of $2.25 plus
valina [46]

The better deal is determined by how far she wants to go
2.25 + .5y
1.25 + .75y

8 0
2 years ago
Can someone help with 18
Neporo4naja [7]
= 8xy - x -2xy + 3x
= 6xy + 2x ..............combine like terms

answer
3.    6xy + 2x 
5 0
2 years ago
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