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liberstina [14]
3 years ago
14

The given equation has been solved in the table. Step Statement 1 1 –7n + 11 = -10 2. -7n + 11 – 11 = -10 – 11 3 -7n = -21 4 = =

=21 .In -7 -21 __7 5 n = 3 Use the table to complete each statement. In step 2, the In step 4, the property of equality was applied. property of equality was applied.​

Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

In step 2, the subtraction property of equality was applied

In step 4, the division property of equality was applied

Step-by-step explanation:

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Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points betwee
julia-pushkina [17]

Answer:

89.04% of the data points will fall in the given range of z = − 1.6 and z = 1.6      

Step-by-step explanation:

We are given a normally distributed data.

We have to find the percentage of data that lies within the range  z = − 1.6 and z= 1.6

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(-1.6 \leq z \leq 1.6)\\= P(z \leq 1.6) - P(z \leq -1.6)\\\text{Calculating the value from standard normal table}\\= 0.9452 - 0.0548 = 0.8904= 89.04\%

89.04% of the data points will fall in the given range of z = − 1.6 and z= 1.6

6 0
3 years ago
Help with question 4?
deff fn [24]
I believe it is the last option, but pleae don’t come for me if you get it incorrect. But if that is the case, I apologize in advance for any inconveniences this may cause.

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5 0
3 years ago
Read 2 more answers
The base of a triangle is 5 meters greater than the height. If the area of the triangle is 102 m2, which are the dimensions of t
kakasveta [241]

Answer: The base is 17 meters long, and the height is 12 meters.

Step-by-step explanation:

The area of a triangle is:

A = b*h/2

where:

b = base

h = height.

For this particular triangle, we have that:

b = 5m + h

A = 102 m^2 = b*h/2

We can replace the first equation into the second one:

b*h/2 = 102 m^2

(5m + h)*h/2 = 102 m^2

(5m + h)*h = 2*102 m^2 = 204m^2

5m*h + h^2 = 204m^2

We can rewrite this as a quadratic equation:

h^2 + 5m*h - 204m^2 = 0

The solutions are given by the Bhaskara formula, the solutions are:

h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}

Then the two solutions are:

h = (-5m - 29m)/2 = -17 m

This is a negative height, that is not really defined, so this will be discarded.

The other solution is:

h = (-5m + 29m)/2 = 12m

This is positive, so this is the option we will use.

Knowing h, we can find the value of b.

b = 5m + h = 5m + 12m = 17m

Then the area is:

A = 12m*17m/2 = 102m^2

5 0
3 years ago
What is the angle of d​
antiseptic1488 [7]

Answer:

115°

Step-by-step explanation:

65 +65 = 130

360-130= 230

230÷2= 115

8 0
3 years ago
when gisselle decided to stop eating junk food, she started saving more of her allowance to buy a larger bicycle. she manage8 we
Lana71 [14]

Answer:

No she didn't have exact money for the bicycle. She had $2 less in her savings in order to buy the bicycle.

Step-by-step explanation:

Gisselle saved $6 every week in order to buy a bicycle.

In weeks she had saved 8 × $6 = $48

She found a used bicycle costing $50.

So she had $50 - $48 = $2 less in her savings preventing her from buying the bicycle.

5 0
3 years ago
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