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Alik [6]
3 years ago
13

The length of a rectangle is 4 cm longer than its width. find its width given its area is 24cm2.

Mathematics
1 answer:
gladu [14]3 years ago
7 0
L= 4+w
l * w = 24
(4+w) * w =24
4w+w^2-24 = 0
(1) w=3.29
(2) w=-7.29 (reject)
=> The width is 3.29
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Malila wants to make the International Marine Signal flag shown. What is the area of the flag? _______________ inches squared
Kamila [148]

Answer:

The area of the flag is 1750 square inch

Step-by-step explanation:

The complete question is attached.

Solution

The flag consist of two triangles of base 12.5 inch and height 100 inch and one rectangle of width 5 inch and length of 100 inch

Total Area

(2 * 0.5 * 12.5 *100) + (5 *100)

1750 square inch

6 0
3 years ago
Assume that 63% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below
mash [69]

Answer:

a. 0.9931

b. 0.3423

c. 0.3907

d. 0.2670

e. 3.15

f. 1.0796

Step-by-step explanation:

The probability of the variable that said the number of left-handed people follow a Binomial distribution, so the probability is:

P(x)=nCx*p^{x}*(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Where x is the number of left-handed people, n is the number of people selected at random and p is the probability that a person is left--handed. So P(x) is:

P(x)=5Cx*0.63^{x}*(1-0.63)^{5-x}

Then the probabilities P(0), P(1), P(2), P(3), P(4) and P(5) are:

P(0)=5C0*0.63^{0}*(1-0.63)^{5-0}=0.0069

P(1)=5C1*0.63^{1}*(1-0.63)^{5-1}=0.0590

P(2)=5C2*0.63^{2}*(1-0.63)^{5-2}=0.2011

P(3)=5C3*0.63^{3}*(1-0.63)^{5-3}=0.3423

P(x)=5C4*0.63^{4}*(1-0.63)^{5-4}=0.2914

P(x)=5C5*0.63^{5}*(1-0.63)^{5-5}=0.0993

Then, the probability P(x≥1) that there are some lefties among the 5 people is:

P(x≥1) = P(1) + P(2) + P(3) + P(4) + P(5)

P(x≥1) = 0.0590 + 0.2011 + 0.3423 + 0.2914 + 0.0993 = 0.9931

The probability P(3) that there are exactly 3 lefties in the group is:

P(3) = 0.3423

The probability P(x≥4) that there are at least 4 lefties in the group is:

P(x≥4) = P(4) + P(5) = 0.2914 + 0.0993 = 0.3907

The probability P(x≤2) that there are no more than 2 lefties in the group is:

P(x≤2) = P(0) + P(1) + P(2) = 0.0069 + 0.0590 + 0.2011 = 0.2670

On the other hand, the expected value E(x) and standard deviation S(x) of the variable that follows a binomial distribution is:

E(x)=np=5(0.63)=3.15\\S(x)=\sqrt{np(1-p)}=\sqrt{5(0.63)(1-0.63)}=1.0796

6 0
3 years ago
F(x)=(x-3)^2-1 give me of zeros/x-intercepts.
RSB [31]

Answer:

of zeros /x-intercepts

x1=2

x2=4

3 0
3 years ago
Solve for x. Help me out because I haven’t been paying attention all year
svet-max [94.6K]

Answer:

x = 18

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x)6 = (8+10)* 8

6*(6+x) = 8(18)

Divide each side by 6

6+x = 8(18)/6

6+x = 8*3

6+x = 24

Subtract 6 from each side

6+x-6 =24-6

x = 18

8 0
2 years ago
D=7.9cm. what is the circumference and area of the circle?
In-s [12.5K]
Circumfrence: pi times diameter
7.9*\pi
circumfrence is approximatley 24.806

area: \pi r^2
a=\pi*(1/2(d))^2
a= 48.99
8 0
3 years ago
Read 2 more answers
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