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Ksenya-84 [330]

2 years ago

14

Fido weighs 26 pounds more than Fifi. Fifi weighs 12 pounds less than Rover. If the sum of their weights is 71, how much does Fi

fi weigh?

1 answer:

crimeas [40]2 years ago

4 0

Answer: are their options?

Step-by-step explanation:

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Let f be the function given by f(x)=3xsinx. What is the average value of f on the closed interval 1≤x≤7 ?

Hoochie [10]

Answer:

-2.92178

Step-by-step explanation:

Given the function $f(x)=3x\ sin x$

The average,A is calculated using the formula;

$A=\frac{1}{b-a}\int\limits^a_b F(x)\, dx \\\\A=\frac{1}{7-1}\int\limits^7_1 3x \ Sin \ x\, dx \\\\\\=\frac{3}{6}\int\limits^7_1 x \ Sin \ x\, dx \\\\\#Integration\ by\ parts, u=x, v \prime=sin(x)\\=0.5[-xcos(x)-\int-cos(x)dx]\limits^7_1\\\\=0.5[-xcos(x)-(-sin(x))]\limits^7_1\\\\=0.5[-xcos(x)+sin(x)]\limits^7_1\\\\=0.5[-6.82595--0.98240]\\\\=-2.92178$

Hence, the average of the function is -2.92178

8 0

2 years ago

Joe wants to paint the outside of a wooden box. He needs to find the surface area of the box

ddd [48]

4*2=8

4*1.5=6

2*1.5=3

8*2=16

2*6=12

2*3=6

16+12+6=34 ft

3 0

2 years ago

Read 2 more answers

Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50. What is the percentage change in her hourly rate

Nookie1986 [14]

Answer: 15%

Step-by-step explanation:

% change = change/ actual value x 100

Change = 11 .50 - 10 = 1.5

Therefore % change = 1.5/10 x 100

= 15%

7 0

2 years ago

Read 2 more answers

Find three consecutive even integers such that the largest is three times the smallest.

Naddik [55]

X+x+2+x+4

we want x+4=3(x)

x+4=3x
2x=4
x=2

the integers are 2,4,6

6 0

2 years ago

6.24 An electronic production line yields 95% satisfactory parts. Assume that the quality of each part is independent of the oth

Andrej [43]

Answer: (a)0.8145

(b) 0.99951875

Step-by-step explanation:

Binomial probability formula to find the probability of getting success in x trials :-

$P(X)=^nC_xp^x(1-p)^{n-x}$ , where n is the total number of trials and p is the probability of success in each trial.

Given : The probability that the electronic production line yields satisfactory parts =0.95

The number of parts tested = 4

(a) The probability that all parts tested are satisfactory:-

$P(4)=^4C_4(0.95)^4(0.05)^{0}=(0.95)^4=0.81450625\approx0.8145$

(b) The probability that at least two parts are satisfactory :-

$P(x\geq2)=1-P(x\leq1)=1-(P(0)+P(1)))\\\\=1-(^4C_0(0.95)^0(0.05)^{4}+^4C_1(0.95)^1(0.05)^{3})\\\\=1-((0.05)^{4}+4(0.95)(0.05)^3)=0.99951875\approx0.9995$

6 0

2 years ago