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gavmur [86]
4 years ago
7

If f(x) = x2 and g(x) = 1

Mathematics
2 answers:
hoa [83]4 years ago
4 0
F(-1)  = (-1)^2 = 1

so if g(x) = 2x + 3 then g(f(-1)) = g(1)  = 2(1) + 3 = 5
Ilia_Sergeevich [38]4 years ago
4 0

Answer:

1/5

Step-by-step explanation:

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A sample of size =n72 is drawn from a population whose standard deviation is =σ25. Part 1 of 2 (a) Find the margin of error for
kherson [118]

Answer:

a) margin of error ME = 5.77

b) Margin of error becomes smaller

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-ME

Where margin of error ME = zr/√n

a)

Given that;

Mean = x

Standard deviation r = 25

Number of samples n = 72

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

ME = 1.96(25/√72)

ME = 1.96(2.946278254943)

ME = 5.774705379690

ME = 5.77

b)

For n = 89

ME = 1.96(25/√89)

ME = 1.96(2.649994700015)

ME = 5.193989612031

ME = 5.19

5.19 is smaller than 5.77 in a) above. So,

Margin of error becomes smaller

6 0
3 years ago
Find the length of one edge of the cube.
Romashka-Z-Leto [24]

Volume

V = l³

length (inverse formula)

l = ∛512

l = 8 in (your answer)


5 0
4 years ago
How long does it take to drive 30 miles at 75 mph?
Mazyrski [523]
If you didn't go in a straight line, you will not reach 30 miles but however 30 miles, in general, going at a pace of 75mph it would take you 1 through 1 hour and a half.
3 0
4 years ago
Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!​
kvasek [131]

Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin(\frac{x+y}{2} )sin(\frac{x-y}{2} ) = 2sin(\frac{x+y}{2} )sin(\frac{y-x}{2} )

cos x + cos y = 2cos(\frac{x+y}{2} )cos(\frac{x-y}{2} )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2})  }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2})  } ← cancel 2 from numerator/ denominator

= \frac{sin45}{cos45} × \frac{sin35}{cos35}

= tan45° × tan35° { tan45° = 1 ]

= 1 × tan35°

= tan35° ← as required

5 0
3 years ago
Read 2 more answers
408 rounded to the nearest tenth
andreev551 [17]
408 round to the nearest tenth: 410
3 0
3 years ago
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