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NeX [460]
3 years ago
12

Question 9 options: Write this number in standard form. seventy-six thousand seven

Mathematics
2 answers:
Serjik [45]3 years ago
8 0
76,007 is the standard form

Eddi Din [679]3 years ago
7 0
Its 76,700 good luck
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A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t
oee [108]

Answer:

The Probability = 0.20

Step-by-step explanation:

From the question stated, the first step to take is to find probability that an employee selected at random will need either eyeglasses or major dental work

Solution

Given

Now,

The exams showed tha the number of employees needed eyeglasses = 8%

Employees that needed major dental work = 15%

Employees that needed  both eyeglasses and major dental work =3%

Thus,

The P(needed eyeglasses ) = 8% = 0.08

P(major dental work) = 15% = 0.15

P(eye glasses  and major dental work) = 3% = 0.03

The probability that an employee selected at random will need either eyeglasses or major dental work is  given as

= P(eye glasses ) + P(major dental work) - P(eyeglasses and major dental work)

= 0.08 + 0.15 - 0.03 = 0.20

Therefore the Probability = 0.20

5 0
3 years ago
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

a) 22.94 psi

b) 5.93\times10^{-5}

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}

where x = 22.94, \mu = 31, \sigma = 2

f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}

f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

6 0
4 years ago
Anyone know the answers to 13, 14, 15, 16
kirill115 [55]
C,g,a,j my teacher graded it with me today hope this helps! :)))
8 0
3 years ago
Can the sides of a triangle have lengths of 10, 30, and 31? If so, what kind of triangle is it?
galina1969 [7]

Answer:

The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.

Step-by-step explanation:

In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.

A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.

6 0
4 years ago
If​ possible, complete the equation below that uses the law of cosines to find the remaining side of the triangle.
romanna [79]

Answer:

Option C.

a = 20.3

Step-by-step explanation:

Given:

m<A = 32°

a = ??

b = 16

c = 32

Required:

Find a

SOLUTION;

To find the missing side, a, of the triangle, apply the Law of Cosines, a^2 = b^2 + c^2 - 2bcCosA

Plug in the values into the equation:

a^2 = 16^2 + 32^2 - 2(16)(32)Cos32

a^2 = 1,280 - 1,024*Cos32

a^2 = 1,280 - 868.40125

a^2 = 411.59875

a = \sqrt{411.59875}

a = 20.3 (nearest tenth)

4 0
3 years ago
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