All categories

3 years ago

Describe the vector below shown below as an ordered pair. X-value? Y-value?

Mathematics

2 answers:

Cloud [144]3 years ago

6 0

$\bf \begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )\\
------\\
r=22\\
\theta =39
\end{cases}\implies (\stackrel{x}{22\cdot cos(39^o)}~,~\stackrel{y}{22\cdot sin(39^o)})
\\\\\\
(x,y)\approx (17.09721115~~,~~13.84504860)$

rosijanka [135]3 years ago

3 0

The red vector has a magnitude of 22 and makes an angle of 39 degrees with the horizonal x-axis.

Converting to rectangular form: x = 22 cos 39 deg and y = 22 sin 39 deg

You might be interested in

Camila is working two summer jobs, making $10 per hour lifeguarding and $6 per hour walking dogs. Last week Camila worked 5 more

sleet_krkn [62]

Answer 650

Step-by-step explanation:

If you add $10 and $6 you get $16 then you add $114 you get $130 the you multiply it by 5 then you get the total of $650

3 0

3 years ago

Read 2 more answers

It cost $36 per person if 75 people rent the bus. How much will it cost per person if 100 people rent.

motikmotik

find the total cost of the bus by multiplying 75 people by $36:

75 x 36 = $2,700

Now divide the total cost of the bus by 100 people:

2700 / 100 = 27

It will cost $27 per person.

8 0

2 years ago

Every blank is a rectangle

Ray Of Light [21]

Answer:

Square

Step-by-step explanation:

6 0

2 years ago

What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones i

Llana [10]

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

Step-by-step explanation:

The question is incomplete:

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions?

We can model this as a binomial random variable, with p=0.57 and n=14.

$P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}$

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

$P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\$

$P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\$

$P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\$

$P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886$

7 0

2 years ago

A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?

gavmur [86]

96/4=24in, so B
Hope this helps :)

6 0

2 years ago

Read 2 more answers