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AlekseyPX
3 years ago
14

A rule for y in terms of x is y=6-4x when x=3.75 the value of y is

Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0
The correct answer to the equation with x= 3.75 is -6.75 because 4 multiplied by 3.75 is 12.75 6-12.75=-6.75
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During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
frutty [35]

Answer: 0.8015

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65               [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015

Required probability = 0.8015

8 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of
Studentka2010 [4]

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

p = 0.95

and

q = 1 - 0.95 = 0.05

The standard deviation of the proportion is

=  \sqrt{ \frac{pq}{n} }

=  \sqrt{ \frac{0.95 \times 0.05}{750} }  \\  = 0.00796

We want to find the probability, that the sample proportion,

\hat p \leqslant  \frac{700}{750} \\    \hat p \leqslant  0.9 \bar3

P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\  = P(Z\le - 2.09) \\  = 0.0183

5 0
3 years ago
−7(7+5x)+x=−3x−18 what does x =
Eduardwww [97]

Answer:

-1

Step-by-step explanation:

-49-35x+x=-3x-18

-49-34x=-3x-18

-34x+3x=-18+49

-31x=31

-31x/-31=31/-31

ansx=-1

pliz mark my answer brainliest

4 0
3 years ago
(60 + 10)<br> 130<br> Solve for a
forsale [732]

Answer:

Step-by-step explanation:

here you go mate'

step 1

(60 + 10)130  equation

step 2

(60 + 10)130  simplify with the brackets

step 3

130(70)  multiply the numbers

answer

9100

5 0
3 years ago
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