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ella [17]
3 years ago
10

Which of the following indicates the subtraction property of equality when solving the equation 4(x + 9) + 5 = 3x − 8? Question

10 options: 4(x + 9) = 3x − 8 − 5 4x + 36 + 5 = 3x − 8 4(x + 9) − 5 + 8 = 3x x = −49
Mathematics
1 answer:
jeka943 years ago
8 0

Answer: 4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

4(x + 9) + 5 = 3x − 8

The subtraction property of equality states that if we subtract the same number from both sides of the equation, the equality remains.

So, if we subtract 5 from both sides:

4(x + 9) + 5-5 = 3x − 8 -5

4(x + 9) = 3x − 8 − 5  

Feel free to ask for more if needed or if you did not understand something.

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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam
irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0
4 years ago
Please help with the answer :(
Alenkinab [10]

Answer:

c

Step-by-step explanation:

3/4

4 0
3 years ago
Can x=9.4 be written in y=mx+b form?
Westkost [7]

Answer:

The given equation cannot be written in slope intercept form

Step-by-step explanation:

we know that

y=mx+b

Is the equation of the line in slope intercept form

where

m is the slope

b is the y-intercept

In this problem we have

x=9.4

This is a vertical line (parallel to the y-axis)

The slope is undefined

therefore

The given equation cannot be written in slope intercept form

4 0
3 years ago
The diagram shows a circle, centre O.<br> Work out the value of a. <br> BCO=41 degrees
sattari [20]

Answer:

a = 49°

Step-by-step explanation:

OB = OC ( both radii of the circle ), thus

Δ BOC is isosceles and the base angles are congruent, that is

∠ OBC = ∠ OCB = 41° , so

∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°

The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus

a = 0.5 × 98° = 49°

5 0
3 years ago
Let's say you take an exam worth 240 points and your score marked the 78th percentile of all the exam scores. Based on this you
gladu [14]

Answer:

28%

Step-by-step explanation:

78th percentile means 78% scored less than/equal to you.

100 - 78 = 22%

3 0
3 years ago
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