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4 years ago

What is the solution in point-slope form of the line that passes through the point (3,-2) and has slope of 2/3

Mathematics

1 answer:

julsineya [31]4 years ago

8 0

Answer:

y+2=2/3(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=2/3(x-3)

y+2=2/3(x-3)

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Anyone know this, its rlly hard

Anarel [89]

Answer:

......................................................................................................

Step-by-step explanation:

8 0

3 years ago

Convert the following equation into standard form.

Tresset [83]

<h2>Answer:</h2><h2>4x + 7y = 7</h2><h2 /><h2>Hope this helps!!</h2>

4 0

3 years ago

A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the

Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other) point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

$tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}$

Which gives;

$tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}$

$Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}$

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0

2 years ago

Tanya sells tablet computers. She earns a salary of $280 per week, plus a $12 commission on each tablet she sells. How many tabl

goblinko [34]

Answer:

Step-by-step explanation:

putas

5 0

3 years ago

A study was conducted to determine whether there were significant differences between medical students admitted through special

inysia [295]

Answer:

Probability that at least 8 of them graduated is 0.7610.

Step-by-step explanation:

We are given that it was found that the graduation rate was 89.6% for the medical students admitted through special programs.

Also, 9 of the students from the special programs are randomly selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 9 students

r = number of success = at least 8

p = probability of success which in our question is % of graduation

rate for the medical students admitted through special programs,

i.e; 89.6%

<em>LET X = Number of graduated medical students who had admitted through special programs</em>

<u>So, it means X ~ Binom(n = 9, p = 0.896)</u>

Now, probability that at least 8 of them graduated is given by = P(X $\geq$ 8)

P(X $\geq$ 8) = P(X = 8) + P(X = 9)

= $\binom{9}{8}\times 0.896^{8} \times (1-0.896)^{9-8}+ \binom{9}{9}\times 0.896^{9} \times (1-0.896)^{9-9}$

= $9 \times 0.896^{8} \times 0.104^{1} +1 \times 0.896^{9} \times 1$

= <u>0.7610</u>

<em>Therefore, the probability that at least 8 of them graduated is 0.7610.</em>

8 0

3 years ago