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2 years ago

Someone help! you have 44 text messages in your inbox. How many messages can your cell phone hold? (and inbox is 88% full)

2 answers:

4 0

We can set up a proportion.

88% = 0.88

44/0.88 = x/1

Cross multiply:

0.88x = 44

Divide 0.88 to both sides:

x = 50

So your cell phone can hold 50 messages.

nadezda [96]2 years ago

4 0

Ratio and proportion 44/x=88/100 cross multiply x= 50 messages

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Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g

givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet. AD = 5 feet

BA = BD + AD

= 2 + 5 = 7 feet

In ΔABC

tan 20° = $\frac{BC}{BA} = \frac{BC}{7}$

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

5 0

2 years ago

At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie

labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

ii. E(X) = 1/p , according to the geometric model.

= 1/.4 = 2.5.

We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

= 45 (.4^2)(.6^10-2) = .0016

As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0

2 years ago

The double number line shows that 444 bottles of water cost 101010 dollars at a music festival. Based on the ratio shown in the

MrRissso [65]

Answer:

Please see the attachment for double number line.

Explanation:

We are given cost of 4 water bottles is $10

We can write ,

Cost of 4 bottles = $10

Cost of 1 bottle = $2.5

Cost of 2 bottles =$5

Cost of 3 bottles = $3\times 2.5$ = $7.5

Cost of n bottles = $2.5n

Now we draw the double number line.

Bottom line(Line 1) will take as number of bottles:

1 2 3 4 5 6

Above line (Line 2) will show the cost of corresponding number of bottles:

2.5 5 7.5 10 12.5 15

4 0

2 years ago

Read 2 more answers

Lindsay and menonhave 1,240 stickers.menon has 4 times as many stickers as Lindsay.menon decides to have 6 stickers on each page

Lemur [1.5K]

a) Menon has 992 stickers. We can find this by writing an algebraic expression for the number of stickers, with x being the number that Lindsay has. This gives us:

x + 4x = 1240

5x = 1240

x = 248

Now we multiply 248 by 4 to get 992.

b) There are 2 stickers left over. First we have to divide 992 by 6, which gives us 165 as a whole number, but then a remainder of 2. That means that there are two stickers left.

c) Menon needs 4 more stickers, as 6 - 2 = 4, and there are 6 stickers per page.

I hope this helps! Let me know if you have any questions :)

5 0

2 years ago

A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. One plank is painted white and it st

Inessa [10]

Answer:

The height of the plank after the π/3 rotation motion is 8.464 ft

Step-by-step explanation:

The radius of the wheel = 4 ft

The elevation of the bottom of the wheel from the bottom = 1 foot

The angle to which the wheel is rolled = π/3 radians

The height of a rotating wheel is given by the following relation

f(t) = A·sin(B·t + C) + D

Where;

D = Mid line = 4 + 1 = 5 feet

B·t = π/3

C = 0

A = The amplitude = 4

Which gives;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

The height of the plank after the π/3 rotation motion = 8.464 ft.

8 0

2 years ago

Read 2 more answers