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3) Consider the function
f(x) = x2
a) Sketch the graph of f(x) = x2 below.
b) Sketch the graphs of the following two functions on the same set of axes.
g(x) = f(x) + 2
or
y = x2 + 2
h(x) = f(x) – 3
or
y = x2 – 3

Answer:

A)4.6 yard

Step-by-step explanation:

[tex]x^{2} +10^{2} =11^{2} \\x^{2} =21\\x=\sqrt[2]{21} \\[/tex]

x≅4.6

Hoped I helped, have a nice day!

Answer:

448ft

Step-by-step explanation:

16 x 14 x 2 x 2

  \   /         \   /

  224   x    4

          \    /

          448

Answer:

C

Step-by-step explanation:

It's not A and B because an exponent to the negative number leads to the fraction.

e.g. 10^-a = 1/(10^a)

It's not D because 5,030,000 rounds to 5,000,000 and not 6,000,000.

Answer:

slope: 2

y intercept 0, -8

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ:  [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

The pooled variance, [tex]S_p^2[/tex], is given as follows;

[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]

Therefore, we have;

[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]

The test statistic is given as follows;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

Answer:

1. 112.364<μ,131.636

2. mean = 122

3. critical value = +-2.1318

Step-by-step explanation:

117+118+140+116+119/5

= 610/5

= 122

the sample mean = 122

the sample standard deviation

s² = (117-122)²+(118-122)²+(140-122)²+(116-122²)+(119-122)²/5-1

= 25+16+324+36+9/4

= 410/4

= 102.5

s² = 102.5

s = √102.5

s= 10.12

SE = s/√n

= 10.12/√5

= 4.52

degree of freedom = 5-1 = 4

critical value of t = +-2.1318 using soft ware

confidence interval =

mean +- t(SE)

122-(2.1318)(4.52), 122+(2.1318)(4.52)

= [112.364, 131.636]

112.364<μ,131.636

therefore these are the answers in the ordre it was given in the question

1. 112.364<μ,131.636

2. mean = 122

3. critical value = +-2.1318

Answer:

15 I believe. ...

Step-by-step explanation:

uhhhhhh

Answer:

I think the answer is $14 hope this helps!

Step-by-step explanation:

Answer:

First time=7hours

First speed=990km/hour

First distance=first time×first speedD=(

S×T)

D=990km/hr×7hrs

D=6930km.

Second time=6&14min.

Second speed=920km/hr

Second distance=second speed×second time (D=s×t)

D=920km/hr×6&14min.

D=1500

Total distance=6930+1500

=8430

Answer:

x = 121

Step-by-step explanation:

all angles sum = 540

87 + 92 + 105 + 135 = 419

540 - 419 = 121

Answer:

b

Step-by-step explanation:

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

Answer:

C. 1 in, 2 in, 3 in

if you think about it- the 3inch side will be as long as the other 2 sides put together. it wouldn't form a triangle at all- just one line on top of the other 2.

Answer:

1200

Step-by-step explanation:

Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

Answer:

8 hours and 30 minutes

Step-by-step explanation:

well 6:30am monday to 6:30am tuesday would be 24 hours

plus 9 hours until 3:30pm

then subtract 30 minutes to have 3:00

so 8 1/2 hours

Answer:(A.)

Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.

Answer:

say 5 and 6

Step-by-step explanation

you just multiply it

Answer:

26 is 30% greater than 20!hope this helped have a good day/night

Step-by-step explanation:

if u want it by step by step thn tell me i will do that..

Answer:

B. 12

Step-by-step explanation:

First, we need the degrees for A. So, cosx = 5/13    =    67.4

Now it will be easy to solve a. tan67.4° = a/5    =   12.011728511....

we round it to the nearest tenth and we get 12.

Step-by-step explanation:

By pythagoras theoram

[tex]c = \sqrt{a2 + b2} [/tex]

Answer:

two hundred and forty inches

Answer:40

Step-by-step explanation:Parallelogram

Solve for area

A=40

Solution

A=bh=8·5=40

formula A=base*height

Answer:

The solution is: (4,-7)

Step-by-step explanation:

Given

The attached graph

Required

Determine the solution

The solution is the point where both lines meet.

From the attached graph, the two lines meet at:

[tex]x =4\\y = -7[/tex]

Hence, the solution is: [tex](4,-7)[/tex]