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vladimir2022 [97]
3 years ago
12

A rectangular deck is 9 meters long by 7 meters wide. What is the length someone would walk

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

11.4 metres

Step-by-step explanation:

Use Pythagoras theorem for a right-angled triangle

a^2 + b^2 = c^2

if you cut the rectangle in half, it will become a right angled triangle.

a and b are two sides of the rectangle, while c is the diagonal or hypothenuse

so 9^2 + 7^2 = c^2

81 + 49  = c^2

c^ 2 = 130

square root 130 = c

you should get approximately 11.4 metres

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PLEASE HELP
Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

so

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

5 0
3 years ago
For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150​the test statistic a. must be positive. b. must be negative. c. can
Virty [35]

Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-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".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation      

\bar X represent the sample mean    

s represent the standard deviation for the sample      

n sample size      

\mu_o =150 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t 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 determine if the mean is lower than 150, the system of hypothesis would be:      

Null hypothesis:\mu \geq 150      

Alternative hypothesis:\mu < 150      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-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".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0
3 years ago
If f(x) = -5x +5 and g(x) +3x +8, find g(f(x))
4vir4ik [10]

Answer:

Step-by-step explanation:

g(f(x)) =  g(f(x)) +3(-5x +5 ) +8

= -15x + 15 + 8

= -15x + 23

4 0
3 years ago
(6x+y)(6x-7) What is the answer?
lys-0071 [83]

= 6x + 6x - 6x × 7 + 6xy - 7y

36x2 - 42x + 6xy - 7y

6 0
2 years ago
CAN SOMEONE HELP ME PLEASE ASAP!?
GalinKa [24]

Answer:

true

Step-by-step explanation:

the lines of the new shape are parallel to the lines of the original shape, there seems to be the same scaling factor for all sides and all "projection" lines BB' and CC' cross at A, which is also A' Ave the center of the dilation.

5 0
2 years ago
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