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3 years ago

What is the value of the function f(x) = 2x^2 + 3 when x = 2?

Mathematics

2 answers:

professor190 [17]3 years ago

8 0

2*2^2+3 PEMDAS
2*4+3
8+3
11

Answer is 11

puteri [66]3 years ago

8 0

F(2)= 2x^2 + 3 = 11

Hope this helps!

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2. What is gross income? What types of income are included in gross income?

gogolik [260]

Gross income is all a persons receipts and gains from all sources before any deductions.

8 0

3 years ago

HELP ME PLESSS and TANK OUUU :) macaroni

zalisa [80]

Answer:

with what you didnt put a question anywhere

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3 years ago

Read 2 more answers

A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air

Stells [14]

Answer:

a) 0.0853

b) 0.0000

Step-by-step explanation:

Parameters given stated that;

H₀ : p = 0.6

H₁ : p = 0.6, this explains the acceptance region as;

p° ≤ $\frac{315}{500}$ =0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)

a).

the probability of type I error if exactly 60% is calculated as :

∝ = P (Reject H₀ | H₀ is true)

= P (p°>0.63 | p=0.6)

where p° is represented as pI in the subsequent calculated steps below

= P $[\frac{p°-p}{\sqrt{\frac{p(1-p)}{n}}} >\frac{0.63-p}{\sqrt{\frac{p(1-p)}{n}}} |p=0.6]$

= P $[\frac{p°-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} >\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} ]$

= P $[Z>\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500} } } ]$

= P [Z > 1.37]

= 1 - P [Z ≤ 1.37]

= 1 - Ф (1.37)

= 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)

≅ 0.0853

The probability of Type II error β is stated as:

β = P (Accept H₀ | H₁ is true)

= P [p° ≤ 0.63 | p = 0.75]

where p° is represented as pI in the subsequent calculated steps below

= P $[\frac{p°-p} \sqrt{\frac{p(1-p)}{n} } }\leq \frac{0.63-p}{\sqrt{\frac{p(1-p)}{n} } } | p=0.75]$

= P $[\frac{p°-0.6} \sqrt{\frac{0.75(1-0.75)}{500} } }\leq \frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]$

= P $[Z\leq\frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]$

= P [Z ≤ -6.20]

= Ф (-6.20)

≅ 0.0000 (from Cumulative Standard Normal Distribution Table).

6 0

3 years ago

Rhianna says she can draw different functions that have the same x‑intercepts and the same domain and range. Her teammates say,

qwelly [4]

In both cases there are more than one possible function sutisfying given data.

1. If

x‑intercepts are (–5, 0), (2, 0), and (6, 0);
the domain is –5 ≤ x ≤ 7;
the range is –4 ≤ y ≤ 10,

then (see attached diagram for details) you can build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their maximum and minimum left and right you can obtain another function that satisfies the conditions above.

2. If

x‑intercepts are (–4, 0) and (2, 0);
the domain is all real numbers;
the range is y ≥ –8,

then you can also build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their minimum left and right you can obtain another function that satisfies the conditions above.

Note, that these examples are not unique, you can draw a lot of different graphs of the functions.

Answer: yes, there are more than one possible function

6 0

3 years ago

Write in standard form. a) 2 4 b) 10 3 c) 3 5 d) 7 3 e) 2 8 f) 4

adoni [48]

Answer:

2 4 2 8 3 7 3 10 4 hope it will work

7 0

2 years ago