Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.

i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627

Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :

$\hat{p}=\dfrac{x}{n}\\\\=\dfrac{627}{1010}=0.620792079208\approx0.62$ [ To the nearest hundredth]

Hence, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62

5 0

3 years ago

A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima

Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle= $20 ft\times 230 ft$

We know that

Area of rectangle ,A=xy

Differentiate

$dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y$

We have $\frac{\partial A}{\partial x}=y=230 ft$

$\frac{\partial A}{\partial y}=x=120$

$dx=\frac{12}{12}=1 ft$

1 ft=12 in

Because 6 in added in both side of breadth

dy= $\frac{12}{12}=1 ft$

Because 6 in added on both sides of length of rectangle

Substitute the values

$dA=230\times 1+120\times 1=350 ft^2$

Hence, the number of square feet of paint in the strip=350 square feet

7 0

3 years ago

There are 153 stickers and 37 bouncy balls in the prize bin. If each child takes 10

Darya [45]

Answer:

19 prizes.

Step-by-step explanation:

First add 153 and 37 which is 190. Then divide 190 and 10. Which is 19.

7 0

3 years ago

Is y=3x+b a linear relationship

Nataly_w [17]

Yes it is a linear relationship

5 0

3 years ago