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s344n2d4d5 [400]
2 years ago
11

Approximately 70% of U.S. adults had at least one pet as a child. We randomly survey 60 U. S. adults. We are interested in the n

umber that had at least one pet as a child. The probability that at least 3 adults had at least one pet as a child means:
A. P(X=0)+P(X=1)+P(X=2)+P(X=3)
B. P(X=0)+P(X=1)+P(X=2)
C. P(X=4)+P(X=5)+P(X=6)+ ...
D. P(X=3)+P(X=4)+P(X=5)+ ...
Mathematics
2 answers:
Kryger [21]2 years ago
6 0

Answer:

D. P(X=3)+P(X=4)+P(X=5)+ ...

ipn [44]2 years ago
5 0

Answer:

D. P(X=3)+P(X=4)+P(X=5)+ ...

Step-by-step explanation:

Given

n =60

pr = 70\% -- proportion of adults with pet

Required

Represent at least 3 adult with pet as a probability

At least 3 means 3 or more than.

So, the probability is represented as:

P(x \ge 3) = P(3) + P(4) + P(5) + ........

Hence;

<em>(d) is correct</em>

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A teacher can grade 25 papers in 4 hours. How many papers can he grade in 6 hours?
lianna [129]
6hours(25papers/hour)=150 papers

6 0
3 years ago
Read 2 more answers
Ivan has cut 19 pieces of reinforcing bar​ (rebar) that are each 1.14 meters long. What is the total length of the rebar used fo
madreJ [45]

Answer:

The total length of rebar used is  21.66 meters.

Step-by-step explanation:

Given:

Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.

Number of pieces = 19

Length of each piece = 1.14

We need to find the total length of reinforcing bar.

To calculate the total length we will multiply number of pieces with length of each piece.

Hence,

Total length of rebar = Number of pieces × Length of each piece = 19\times1.14 = 21..66 m

Rounding to nearest hundred = 21.66 m

Hence the total length of reinforcing bar is 21.66 meters.

4 0
3 years ago
The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, wha
daser333 [38]

Answer:

57 cm²

Step-by-step explanation

<em>l = length</em>

<em>w = width</em>

<em>p = perimeter</em>

<em />

<em>(5x - 1) = length</em>

<em>(11 - 2x) = width</em>

<em>44 = perimeter</em>

<em />

<em>Formula for the perimeter of a rectangle:</em>

<em>l + l + w + w</em>

<em>2l + 2w = p</em>

<em />

<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>

<em></em>

<em>2(5x - 1) + 2(11 - 2x) = 44</em>

<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>

6x + 20 = 44

6x = 24

x = 4

<em>Plug x = 4 back into the length and width.</em>

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

<em>Area for a rectangle: Length × Width = Area.</em>

<em>19 × 3 = 57 cm²</em>

<em>This is all in cm so answer with cm²</em>

5 0
3 years ago
A sphere has a diameter of 10 in. What is the volume of the sphere?
givi [52]

The volume of sphere is \frac{500}{3}\pi inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = \frac{Diameter}{2}=\frac{10}{2}

Radius of sphere = 5 inches

Volume of sphere = \frac{4}{3}\pi r^3

V = \frac{4}{3}\pi (5)^3

V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi

The volume of sphere is \frac{500}{3}\pi inches cubed.

Keywords: volume, division

Learn more about division at:

  • brainly.com/question/11306893
  • brainly.com/question/11334714

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
Sin(a+b).cos(a-b) = sinacosa + sinbcosb
Rainbow [258]
Sin (A + B) = sin A cos B + cos A Sin B 
<span>Cos (A - B) = cos A cos B + sin A sin B </span>

<span>=> (SinACosB+ CosASinB) (CosACosB +SinASinB) </span>

<span>=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... </span>

<span>=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) </span>
<span>we know that Sin^2+Cos^2=1 </span>
<span>=>SinACosA(1)+SinBCosB(1) </span>
<span>=SinACosA+SinBCosB </span>
<span>Proved 

</span>
4 0
3 years ago
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