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2 years ago

State the null and alternative hypothesis in each case.

Mathematics

1 answer:

Volgvan2 years ago

8 0

Answer:

Which term is a term in this expression?

Step-by-step explanation:

Which term is a term in this expression?Which term is a term in this expression?Which term is a term in this expression?Which term is a term in this expression?Which in this expression?Which term is a term in this expression?

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Find the length of the third side. If necessary, round to the nearest tenth

Lilit [14]

$\huge\bold{Given:}$

Length of the base = 8

Length of the hypotenuse = 17

$\huge\bold{To\:find:}$

The length of the third side '' $x$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\purple{x\:=\: 15}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + (8)² = (17)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + 64 = 289

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 289 - 64

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 225

$\longrightarrow{\blue{}}$ $x$ = $\sqrt{225}$

$\longrightarrow{\blue{}}$ $x$ = $15$

Therefore, the length of the missing side $x$ is $15$ .

$\huge\bold{To\:verify :}$

$\longrightarrow{\green{}}$ (15)² + (8)² = (17)²

$\longrightarrow{\green{}}$ 225 + 64 = 289

$\longrightarrow{\green{}}$ 289 = 289

$\longrightarrow{\green{}}$ L.H.S. = R. H. S.

Hence verified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}$

3 0

2 years ago

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27

Korvikt [17]

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

4 0

2 years ago

What percent of 200 is 290

GrogVix [38]

$\frac{290}{200} * 100 = 1.45 * 100 = 145.$

So, Our final answer is 145%

8 0

2 years ago

Read 2 more answers

Write a polynomial of degree 3 that satisfies each of the given conditions.

shutvik [7]

Answer:

https://www.jacksonsd.org/cms/lib/NJ01912744/Centricity/Domain/504/BI%207-8.pdf

Step-by-step explanation:

the link to help you with the answers

5 0

3 years ago

the height in feet above the ground of an arrow after it is shot can be modeled by y=-16r^2+63r+4.Can the arrow pass over a tree

miss Akunina [59]

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

7 0

3 years ago