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shepuryov [24]
3 years ago
9

5 – m = 1.36 m= Someone please help me

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

5 - m = 1.36 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  m = 5 - 1.36 \\ m = 3.64

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An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average
Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}= = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = (\frac{z_{0.005}\sigma}{E})^2

Here,

n is the sample size (or the minimum number of gas stations  )

on substituting the respective values, we get

= (\frac{z_{0.005}\sigma}{E})^2

= (\frac{2.58\times0.32}{0.06})^2

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

5 0
3 years ago
What are the measures of Angles a, b, and c? Show your work and explain your answers.
andreev551 [17]
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof:  All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles. 

2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof:  All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol).  So we know that one angle is 90°.  We also know that m∠a = 30°.  If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.  
 90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ; 
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and  must add up to 180</span>°.  As shown, Angle c is on a "straight line".  The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram).  As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
6 0
3 years ago
Read 2 more answers
Solve for x. 3x−82=x−6 Enter your answer in the box. x =
My name is Ann [436]
Get like terms together. you might have to move across the equals sign

3x-x=-6+82

2x=76

x=38
6 0
3 years ago
Can someone help me please
Taya2010 [7]

Answer:

n = -1

Step-by-step explanation:

n^2 + 5n + 1 = 3n

N^2 +2n +1 = 0       (subtract 3n from both sides)

(n+1)(n+1) = 0   (factor

n+1 =0; n= -1

n+1 = 0  ; n=-1

4 0
2 years ago
Help me out PLEASE. begging.
spayn [35]
The ladder will reach 122 ft up the building.

The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle.  x will be the height from the top of the fire truck to the point where the ladder hits the building.  75° is the angle the ladder will make with the fire truck. 

We have an angle, the side opposite the angle, and the hypotenuse.  Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:

x/120 = sin 75

Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116

However, this is just from the top of the fire truck to the point where the ladder hits the building.  We still add the 6 feet from the top of the truck to the ground.  116+6 = 122.
5 0
3 years ago
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