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lina2011 [118]
3 years ago
11

For his long distance phone service, Dale pays a

Mathematics
1 answer:
Talja [164]3 years ago
3 0
Equation;
y=6+0.08x
Last month, Dale's long distance bill was 
<span>$13.92
</span>so,
$13.92<span>=6+0.08x
</span>0.08x=<span>$13.92-6
</span>0.08x=<span>$7.92
</span>x=99 minutes
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Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram
Fudgin [204]

Answer:

x and EAF are 27 degrees

Step-by-step explanation:

Since GAF is a right angle as indicated by the little square, GAC and CAF must add up to 90 degrees. Therefore, x is 90-63=27 degrees. The situation is the same for angle EAF. Hope this helps!

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3 years ago
An angle measures 166° more than the measure of a supplementary angle. What is the measure of each angle?
expeople1 [14]
Supplementary means they add up to 180

angle 1 = x
angle 2 = x + 166

so x + x + 166 = 180
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3 years ago
16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o
Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)

where x_1,x_2,...,x_n are the values that the variable can take and p(x_1),p(x_2),...,p(x_n) are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

V(x)=E(x^2)-(E(x))^2

Where E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)

So, the variance V(x) is equal to:

E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075

Finally, the standard deviation is calculated as:

S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545

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3 years ago
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Each hour, the number of bacteria in Dr. Nall's petri dish tripled. What percent is the population compared to the population th
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