1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alisha [4.7K]
3 years ago
9

Rewrite y = 2(x - 3)2 + 8 in standard form.

Mathematics
1 answer:
suter [353]3 years ago
3 0

Answer:

(2- V) 3 + 8

..

You might be interested in
The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assum
DochEvi [55]

Answer:

a. \mathtt{P(X \geq 25) =0.0170}     ( to four decimal places)

b. P(22.5   ( to four decimal places )

c. The limits will be between the interval of   ( 22.33,24.67 )

Step-by-step explanation:

Given that :

mean = 23.50

standard deviation = 5.00

sample size = 50

The objective is to calculate the following:

(a)  What is the likelihood the sample mean is at least $25.00?

Let X be the random variable, the probability that the sample mean is at least 25.00 is:

P(X \geq 25) = 1 - P(\dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{25- 23.50}{ \dfrac{5}{\sqrt{ 50}} })

P(X \geq 25) = 1 - P(Z< \dfrac{1.5}{ \dfrac{5}{7.07107}} })

P(X \geq 25) = 1 - P(Z< \dfrac{1.5 \times 7.071}{ {5}})

P(X \geq 25) = 1 - P(Z< 2.1213)

P(X \geq 25) = 1 - P(Z< 2.12)   to two decimal places

From the normal tables :

P(X \geq 25) = 1 - 0.9830

\mathtt{P(X \geq 25) =0.0170}     ( to four decimal places)

(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

P(22.5

P(22.5

P(22.5

P(22.5

P(22.5  to four decimal places

(c) Within what limits will 90 percent of the sample means occur?

At 90 % confidence interval, level of significance = 1 - 0.90 = 0.10

The critical value for the z_{\alpha/2} = 0.05 = 1.65

Standard Error = \dfrac{\sigma}{\sqrt{n}}

Standard Error =  \dfrac{5}{\sqrt{50}}

Standard Error = 0.7071

Therefore, at 90 percent of the sample means, the limits will be between the intervals of : (\mu \pm z_{\alpha/2} \times S.E)

Lower limit =  ( 23.5 - (1.65×0.707) )

Lower limit =  ( 23.5 - 1.16655 )

Lower limit = 22.33345

Lower limit = 22.33    (to two decimal places).

Upper Limit = ( 23.5 + (1.65*0.707) )

Upper Limit = ( 23.5 + 1.16655 )

Upper Limit = 24.66655

Upper Limit = 24.67

The limits will be between the interval of   ( 22.33,24.67 )

6 0
3 years ago
What is the slope and y-intercept of this line?
Phoenix [80]
The slope is -3 and the intercept is (0,9) or just 9 in this case, I hope that it’s right
3 0
2 years ago
Tony Owens a special pet store that sells only snacks and elephants currently he has a total of 11 snacks and elephants in stock
bagirrra123 [75]

Answer:  There are 8 snake and 3 elephants.

Step-by-step explanation:

Let x= Number of snakes

y= Number of elephants

We know that , snake has no legs elephant has 4 legs.

Then, Total animals = x+y=11  (i)

Total legs = 4y = 12

⇒ y=3   .. (ii)[divide both sides by 4]

Substitute value of y from (ii) in (i) , we get

x+3=11\Rightarrow\ x=8

Hence, there are 8 snake and 3 elephants.

3 0
2 years ago
How do I graph y = 1/5 cos x
MariettaO [177]
The answer is here. Hope I did help you.

4 0
2 years ago
4y-1=11<br> Pleas help me I have a test tomorrow
zepelin [54]

Answer:

y=3

Step-by-step explanation:

4y-1=11

+1      +1

4y=12

/4    /4

y=3

5 0
3 years ago
Read 2 more answers
Other questions:
  • Round 3,062.845 to 2 decimal places
    14·1 answer
  • Rewrite the expression in the form yn
    11·2 answers
  • Find the area of the sector in<br> terms of pi.<br> 270°<br> 12<br> Area = [?]
    5·1 answer
  • Solve: 3/x-4 &gt;0<br> x &lt; 4<br> x &gt; -4<br> x &gt; 4<br> x &lt; -4
    12·2 answers
  • Y=3x + 15<br>4X-3y =25<br>SOLVE BY SUBSITUTION​
    7·2 answers
  • 4. Which correctly explains whether or not the
    13·1 answer
  • Factorise 6-12x please help me
    7·1 answer
  • What is the fraction shown above?
    13·2 answers
  • im giving extra points, can someone please tell me if this is right or not? im not sure if it is because i dont fully understand
    9·1 answer
  • Which of the following statements is false?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!