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storchak [24]
3 years ago
5

#4 Find value of x. Round answer to nearest tenth. Help please.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is x

With ∠33 as the reference angle,

The adjacent side of the right angle triangle is 15

The unknown side is the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 33 = 15/x

x = 15/Cos 33 = 15/0.839

x = 17.9 to the nearest tenth

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In his will, Mr. Banks left 50% of the value of his property to his
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The value of Mr Banks's property was $250,000

What percentage of the property is left for charity?

The percentage of property left for charity can be determined as the 100% of the property minus all percentages given to others

% left for charity=100%-50%-22%-16%

% left for charity=12.00%

12.00% of the property=$30,000

1.00% of the property =$30,000/12

1.00% of the property =$2,500

100.00% of the property=$2500*100

100.00% of the property=$250,000

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6 0
2 years ago
HELP PLEASE ,, i need the right answer
____ [38]

Answer:

It's the first one

4 0
4 years ago
Read 2 more answers
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
4 years ago
A group of four components is known to contain two defectives. An inspector tests the components one at a time until the two def
Stells [14]

Answer:

when Y = 2, P(2) = 1/6 = 0.167

when Y = 3, P(3) = 2/6 = 0.333

when Y = 4, P(4) = 3/6 = 0.5

Step-by-step explanation:

Total number of possible ways to choose 2 components for defectives out of 4 components = 4C2 = 6

Y can only take values of 2, 3 and 4

So, Probability of Y = P(Y) = 1C(Y-1) / 6

when Y = 2, P(2) = 1/6 = 0.167

when Y = 3, P(3) = 2/6 = 0.333

when Y = 4, P(4) = 3/6 = 0.5

4 0
3 years ago
What is five times five
s344n2d4d5 [400]
25 because 5 times 5 is 25 im writing more because it has to be at least 20 characters

4 0
3 years ago
Read 2 more answers
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