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lesya692 [45]
2 years ago
14

Line p has a slope of 6/7. Line q is perpendicular to p . What is the slope of line q

Mathematics
1 answer:
Serjik [45]2 years ago
7 0

Answer:

The slope of line q is -7/6

Step-by-step explanation:

To find the slope of a perpendicular line, you need to find the opposite reciprocal. So, flip the fraction (7/6) and then take the opposite, (-7/6).

Hope this helps!

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If parallelogram JKLM is rotated 270° counterclockwise around the origin, what are the coordinates of the endpoints of the side
Archy [21]
It's d. K' (-4, 6); L' (-3, 3) Hope I helped♡
6 0
3 years ago
Help im lost a b c or d
Marrrta [24]

Answer:

A)

Step-by-step explanation:

Angle FEG and angle DEF are supplementary (They both form a 180 degree angle) so you can conclude:

180 = 119 + angleFEG

angleFEG = 61 degrees

Angle HEG and DEF are vertical  angles so you can conclude:

angleHEG = angleDEF

andgleHEG = 119

5 0
3 years ago
Read 2 more answers
Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually. How much is in his account after
AfilCa [17]

Answer:

960

Step-by-step explanation:

We know that 4 percent of 800 dollar is 32 dollar. So 32 time 5 (because it ask us how much after 5 year) is 160. Now we add it to 800 because it ask  the total in his account so it 960.

3 0
3 years ago
A random sample of 100 U.S. adults were selected from a population. In the population, the probability of having hypertension is
svp [43]

Answer:

For this case we want to calculate this probability:

P(X\leq 30)

And for this case if we use the normal approximation we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And using this formula with the correction factor of continuity we got:

P(X\leq 30) =P(X

And using the normal standard table or excel we got:

P(Z \leq 1.522)= 0.936

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest "number of people with hypertension", on this case we now that:

X \sim Binom(n=100, p=0.24)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.24=24 \geq 10

n(1-p)=100*(1-0.24)=76 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.24=24

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.24(1-0.24)}=4.27

Solution to the problem

For this case we want to calculate this probability:

P(X\leq 30)

And for this case if we use the normal approximation we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And using this formula with the correction factor of continuity we got:

P(X\leq 30) =P(X

And using the normal standard table or excel we got:

P(Z \leq 1.522)= 0.936

7 0
3 years ago
. Macy's mom gives her $100 for her birthday. She buys shirts that're $15 each and pairs of pants that're $25 each. Which expres
Pachacha [2.7K]

Answer:

100-(15s+25p)

Step-by-step explanation:

5 0
2 years ago
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