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Mnenie [13.5K]
3 years ago
12

What is the measure of angle 2?

Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

42

Step-by-step explanation:

because that angle is a little less than half of 90 so 42 is the best answer

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Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1
borishaifa [10]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2  \qquad 
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x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
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6 0
3 years ago
Joe makes belts. He has 9 buckles. He uses 12 rivets on each of 4 belts and 15 rivets on each of 2 belts. He has 22 rivets left
Lerok [7]

Answers:

1. There are rivets on the belts.

2. Extra information given in the problem:

a. He has 9 buckles.

b. He has 22 rivets left over.


Solution:

1. Total rivets on the belts=(12 rivets/belt)(4 belts)+(15 rivets/belt)(2 belts)

Total rivets on the belts=48 rivets+30 rivets

Total rivets on the belts=78 rivets


2. The extra information given in the problem is the information that we didn't use to solve it. In this case:

a. He has 9 buckles.

b. He has 22 rivets left over.

4 0
3 years ago
In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a
sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of \alpha = 0.05

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

     p₂ be the sample of the second shift

     p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the \chi² test gives 8.10

degrees of freedom:

df = k - 1

   = 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤\alpha≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0
3 years ago
What is a possible value of sin(x) if the cos(2x) = 0.42
Ostrovityanka [42]

Answer:

The answer is 0.54 have a great day

6 0
3 years ago
¿Cuántos litros de agua se precisa para llenar una piscina inflable de 1/4 de metro cúbico?
8_murik_8 [283]

Answer:

250 litters

Step-by-step explanation:

To solve this question, we first need to know the conversion from cubic meter to liter.

1 cubic meter is equal to 1000 liters.

So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:

1 m3 -> 1000 L

1/4 m3 -> x L

x * 1 = (1/4) * 1000

x = 1000 / 4 = 250 L

So we need 250 liters of water.

6 0
2 years ago
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