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3 years ago

Which is equivalent?

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

$\frac{x}{\sqrt{2} }$

Multiply numerator/ denominator by $\sqrt{2}$ to rationalise the denominator

= $\frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2}) }$

= $\frac{x\sqrt{2} }{2}$ → A

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The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are fas

irinina [24]

Answer:

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝) = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative hypothesis H₁ : μ ≠ 18.4

Test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }$

Z = 1.183

Conclusion:-

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

8 0

3 years ago

Solve the proportion 12/16 = 3z/4

WITCHER [35]

Answer:

z = 1

Step-by-step explanation:

12/16 = 3z/4

=> 12 x 4/16 = 3z

=> 3z = 12 x 4/16

=> 3z = 12 x 1/4

=> 3z = 3

=> z = 1

5 0

2 years ago

Read 2 more answers

A sea lion was swimming at 2 feet below sea level. The number line shows

Inessa [10]

Answer:

Start at zero, then go to the left two times, then go down eight more. The new location would be negative ten.

Step-by-step explanation:

6 0

3 years ago

Find the value of h(-67) for the function below h(x)=-49x-125

inessss [21]

Answer:
h(-67) = 3158
General Formulas and Concepts:
Order of Operations: BPEMDAS
- Substitution and Evaluation
Step-by-Step Explanation:
Step 1: Define
h(x) = -49x - 125
h(-67)

Step 2: Solve
1. Substitute: h(-67) = -49(-67) - 125
2. Multiply: h(-67) = 3283 - 125
3. Subtract: h(-67) = 3158

6 0

3 years ago

Solve this question? 7x - 3x +7 =3 (x - 4)+20

Nady [450]

X=1

To solve this you start by adding like terms on the left side and doing the distributive property and adding like terms on the right. This would get you
4x+7=3x+8

Then you minus 3x on both sides getting
x+7=8

Then subtract 7 from both sides getting x=1.

6 0

3 years ago

Read 2 more answers