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tiny-mole [99]
3 years ago
7

A mountain climber ascends hundred feet per hour from his original position. after six hours is fine opposition is 11,600 feet a

bove the sea find climbers original position
Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

Original position =6,800 feet.

800 (ft per hour) x 6(hours) =4800 ft

11,600-4,800=6,800 feet

Step-by-step explanation:

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Which of the following are lengths of the sides of a 30°-60°-90° triangle? A. 5√3, 15., 10√3 units B. 3, 4, and 5 units C. √3, 3
zaharov [31]

Answer:

A

Step-by-step explanation:

law of sine

c/sin(C) = b/sin(B) = a/sin(A)

with the sides and corresponding angles being always opposite.

sin(90) = 1

sin(30) = 0.5

c, the Hypotenuse, is the longest side in such a right-angled triangle.

c/1 = b/0.5

b = c×0.5 = c/2

so, one side has to be half the length of the longest side (Hypotenuse).

the only answer meeting that criteria is A.

the longest side is 10×sqrt(3) = 17.32...

the side half of that is 5×sqrt(3).

and Pythagoras for such a triangle is then

c² = (c/2)² + a²

c² = c²/4 + a²

so, a² = 3c²/4

c² = c²/4 + 3c²/4

therefore we can check also the third side

15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²

correct.

A is such a triangle.

5 0
2 years ago
What is 48,100,000,000,000 in scientific notation?
Alexeev081 [22]
 im pretty sure it is 4.18x10^13 


8 0
3 years ago
Read 2 more answers
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?
maxonik [38]

ANSWER

2 \frac{1}{4}

EXPLANATION

We want to find the constant that must be added to

{x}^{2}  - 3x

to form a perfect square.

Comparing the given expression to

a{x}^{2}  + bx + c

we have

a=1 , b=-3 , and c=0.

We need to add

{( \frac{b}{2a} })^{2}

We substitute the values to get,

{( \frac{ - 3}{2(1)} })^{2}  =  \frac{9}{4}

We change this to mix numbers to get,

2 \frac{1}{4}

The last choice is correct.

4 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

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Sarah has $55.00 to spend
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