Ask question

Ask question

All categories

4 years ago

6

Michael designs and makes quilts. Answer questions 5-8 about the dimensions of his quilts. You may wish to use a sketch to help

you solve the problem. 5. He made a baby quilt that was 3 feet wide. Its perimeter was 16 feet. What was its area?

1 answer:

Nikolay [14]4 years ago

7 0

5.

You could do 3 x 3 x 5 x 5 for perimeter, so the area is 3 x 5.

The answer therefore, is 15 ft²

You might be interested in

If a ball is thrown into the air with a velocity of 38 ft/s, its height in feet t seconds later is given by y = 38t − 16t2. (a)

tiny-mole [99]

Answer:

i.-34ft/s

ii.-27.6ft/s

iii.-26.8ft/s

iv-26.7ft/s

B.-26ft/s

Step-by-step explanation:

$average velocity = \frac{y_{2}-y_{1}}{t_{2}-t_{1}}\\$

For all cases the value of the initial time $t_{1} =2 seconds \\$

now we also use this time ti determine the value of the initial height in all cases

$y_{1}=38(2)-16(2)^{2} \\y_{1}= 12ft\\$

now when the time is increase by 0.5 seconds the new height becomes

$y_{2}=38(2.5)-16(2.5)^{2} \\y_{2}=-5fts\\$

the velocity becomes

$[tex]Average velocity = \frac{-5-12}{2.5-2}\\Average velocity = -34ft/s\\$

ii. when the time is increase by 0.1 seconds

the new height becomes

$y_{2}=38(2.1)-16(2.1)^{2} \\y_{2}= 10.66ft\\$

$Average velocity = \frac{10.66-12}{2.05-2}\\Average velocity = -27.6ft/s\\$

iii. when the time is increase by 0.05 seconds

the new height becomes

$y_{2}=38(2.05)-16(2.05)^{2} \\y_{2}= 9.24ft\\$

$Average velocity = \frac{9.24-12}{2.05-2}\\Average velocity = -26.8ft/s\\$

iv. when the time is increase by 0.1 seconds

the new height becomes

$y_{2}=38(2.01)-16(2.01)^{2} \\y_{2}= 11.73ft\\$

$Average velocity = \frac{11.73-12}{2.01-2}\\Average velocity = -26.7ft/s\\$ .

B. For us to determine the instantaneous velocity expression, we differentiate the expressing for the height

$V_{inst}=38-32t\\$

we now substitute t=2, we arrive at

$V_{inst}=-26ft/s\\$

6 0

4 years ago

What happens to the area of the circle when it's radius is doubled?<br>12.57÷3.14<br>radius= 4cm

Anna11 [10]

Area of circle = pi x radius squared where pi = 3.1416 radius = diameter/2 = <span>4/2 = 2 ins Area = 3.1416 x 2 x 2 sq.ins. = 12.5664 sq in.</span>

4 0

4 years ago

What is the value of x in the equation 4(2x + 12) = 0?<br><br> −8<br> −6<br> 6<br> 8

dimaraw [331]

Answer:

-6

Step-by-step explanation:

4(2x+12)=0

8x+48=0

8x=-48

x=-6

3 0

3 years ago

According to the U.S. Census Bureau, the mean of the commute time to work for a resident of Boston, Massachusetts, is 27.3 minut

Bond [772]

Answer:

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

7 0

3 years ago

Assume that when adults with smartphones are randomly selected, 58% use them in meetings or classes. If 20 adult smartphone user

Marina CMI [18]

Answer:

0.1502 = 15.02% probability that exactly 13 of them use their smartphones in meetings or classes

Step-by-step explanation:

For each adult smartphone users, there are only two possible outcomes. Either they use the phone in meetings or classes, or they do not. The probability of an adult using the phone in these settings is independent of any other adult. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

58% use them in meetings or classes

This means that $p = 0.58$

20 adult smartphone users are randomly selected

This means that $n = 20$

Find the probability that exactly 13 of them use their smartphones in meetings or classes.

This is $P(X = 13)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 13) = C_{20,13}.(0.58)^{13}.(0.42)^{7} = 0.1502$

0.1502 = 15.02% probability that exactly 13 of them use their smartphones in meetings or classes

8 0

3 years ago