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dangina [55]
3 years ago
14

Find the value of the variable in the triangle below. Round decimal answers to the nearest tenth.

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer: 7.5

Step-by-step explanation:

use pythagorean theorem

13^2 + b^2 = 15^2

- 13^2

b^2 = 56 - square root

= 7.5

Marrrta [24]3 years ago
7 0

Answer:

Consider:

hypotenuse = 15

leg1=13

leg2 = x

a^2+13^2=15^2\\a^2+169=225\\a^2=56\\a=\sqrt{56} \\a=7.483

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
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Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

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3 years ago
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Step-by-step explanation:

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2 years ago
Joshira makes and sells crafts.
Maksim231197 [3]

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Step-by-step explanation:

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If the level of significance (alpha) is 0.05, it means that the probability of rejecting the null hypothesis, when it is false,
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Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.

Step-by-step explanation:

We know that the level of significance ( denoted as \alpha ) is generally the probability of rejecting the null hypothesis when it is true.

Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.

i.e. The probability of rejecting the null hypothesis when it is true= 0.05

In percent : 0.05=5\%

Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.

4 0
3 years ago
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