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3 years ago

Bobby drives his truck at a rate of 50 to 60 miles per hour.

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

a. 2 hours = 100 to 120m

3 hrs = 150 to 180m

4 hrs = 200 to 240m

5 hrs = 250 to 300m

b. 400 to 480 miles

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A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat

ivolga24 [154]

Answer:

$c=\frac{16}{39}$

Step-by-step explanation:

The probability density function is :

$f(x)=c(1-\frac{1}{16}x^{2})$

With 0 < x < 3

To be a valid probability density function :

$\int\limits^b_a {f(x)} \,dx=1$

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

$\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1$

$c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1$

$c(3-\frac{1}{16}\frac{3^{3}}{3})=1$

$c(\frac{39}{16})=1$

$c=\frac{16}{39}$

We can verify by replacing ''c'' in the original probability density function and integrating :

$\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=$

$=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1$

Also, f(x) ≥ 0 for 0 < x < 3

4 0

4 years ago

Hello I need help on it pls

Zepler [3.9K]

Answer:

19.5

Step-by-step explanation:

8 0

3 years ago

5.32×10^5 solve it please need it by 12:00

Gre4nikov [31]

Answer:

532,000

Step-by-step explanation:

10^5= 100,000

100,000 x 5.32

Move the decimal place 5 spaces to the right.

It gives you 532,000

4 0

3 years ago

Read 2 more answers

ILL MARK BRAINLIST , pls help n

bearhunter [10]

Answer:

Step-by-step explanation:

${x}^{2} - 5x - 2 = 0 \\ \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ we \: find : \\ a = 1 \\ b = - 5 \\ c = - 2 \\ \\ {b}^{2} - 4ac \\ = {( - 5)}^{2} - 4 \times 1( - 2) \\ = 25 + 8 \\ = 33 \\ \\ by \: quadratic \: formula \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} -4ac } }{2a} \\ \\ x = \frac{ - ( - 5) \pm \sqrt{33}}{2 \times 1} \\ \\ x = \frac{ 5 \pm \sqrt{33}}{2}...(1) \\ \\x = \frac{ 5 \pm \sqrt{n}}{2}...(2) (given)\\ \\ equating \: equations \: (1) \: and \: (2) \\ \\ \huge \red{ \boxed{n = 33}}$

5 0

3 years ago

The temperature in Frederick decreased 8

velikii [3]

You find the overall change in temperature by adding them together.
-8 would be from were is decreased 8 degrees and +8 would be from where it increased 8 degrees
Like: -8+8=0

6 0

3 years ago