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3 years ago

Round to the nearest whole number to estimate the sum of 23.19 and 13.7. Then give the exact sum.

2 answers:

8 0

If you round 23.19 to the nearest whole number you get 23 and if you round 13.7 you get 13. 13+23 is 33. The real numbers are 23.19 and 13.7, add them together and you get 36.89. The exact sum is 36.89 (:

9966 [12]3 years ago

3 0

OK 23.19+13.7 equals 36.89. But if you round to the nearest whole number you get 37.

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In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0

3 years ago

Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y

Crank

Answer:

The answer to your question is a = 16

Step-by-step explanation:

Polynomial

(y - 4) (y² + 4y + 16)

Process

1.- Multiply y by each term of the polynomial

y(y² + 4y + 16) = y³ + 4y² + 16y

2.- Multiply -4 by each term of the polynomial

-4(y² + 4y + 16) = -4y² - 16y - 64

3.- Write both results

y³ + 4y² + 16y - 4y² - 16y - 64

In bold we notice that a = 16

8 0

3 years ago

What is the absolute value of 5 and 6

Sauron [17]

$|a|=a\ if\ a >0\\\\|0|=0\\\\|a|=-a\ if\ \ a \ \textless \ 0\\-------------------\\|5|=5\ because\ 5 \ \textgreater \ 0\\\\|6|=6\ because\ 6 \ \textgreater \ 0\\---------------\\Other\ examples:\\\\|-2|=-(-2)=2\ because\ -2 \ \textless \ 0\\|10|=10\ because\ 10 > 0\\|-5|=5\ because\ -5 \ \textless \ 0\\\vdots$

6 0

3 years ago

Read 2 more answers

An electrician cuts a 136 ft long piece of cable. One piece is 16 feet less than 3 times the length of the other piece. Find the

Romashka [77]

X + y = 136
x = 3y - 16

3y - 16 + y = 136
4y - 16 = 136
4y = 136 + 16
4y = 152
y = 152/4
y = 38

x = 3y - 16
x = 3(38) - 16
x = 114 - 16
x = 98

the larger piece (x) = 98 ft and the smaller piece (y) = 38 ft

8 0

3 years ago

Read 2 more answers

Lauren read a total of 44 books over 11 months. After belonging to the book club for 21 months, how many books will Lauren have

GaryK [48]

Answer:

Step-by-step explanation:

Lauren has read 4 books per month. So the answer would be 84.

6 0

2 years ago