Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 102t +
1
2
t2 − t3, 0 ≤ t ≤ 8.

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]

[tex] = \frac{1570}{3} [/tex]

[tex] = 523.3333333...[/tex]

= 523.33 cm³ (rounded to the nearest hundredth)

Answer:

Step-by-step explanation:

goodluck

Answer: 45%

Step-by-step explanation:

9514 1404 393

Answer:

  D.  53 feet

Step-by-step explanation:

The value of the expression when x=0 is ...

  3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53

The initial height of the ball is 53 feet.

Answer:

I thinks is the 4th or the last

Answer:

a) The basic rate of pay is 6 sterling pounds per hour.

b) The higher rate of pay is 10 sterling pounds per hour.

Step-by-step explanation:

Both segments of the curve are first order polynomials, which means that each have constant slopes.

a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)

Where:

[tex]\Delta x[/tex] - Change in hours worked, in hours.

[tex]\Delta y[/tex] - Change in pay, in sterling pounds.

If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,120}{20\,h}[/tex]

[tex]r = 6\,\frac{\pounds}{h}[/tex]

The basic rate of pay is 6 sterling pounds per hour.

b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,100}{10\,h}[/tex]

[tex]r = 10\,\frac{\pounds}{h}[/tex]

The higher rate of pay is 10 sterling pounds per hour.

Answer:

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The study reports that 152 of 158 procedures were successful.

This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)

We want to find confidence interval and the formula is;

CI = p^ ± z√(p^(1 - p^)/n)

We are told that the study reports that 152 of 158 procedures were successful. Thus;

n = 158

p^ = 152/158

p^ = 0.962

Now, we want to find the confidence interval at a 95% confidence level.

The critical z value for 95% confidence level is;

z = 1.96

Thus;

CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)

CI = 0.962 ± 0.0298

CI = (0.962 - 0.0298), (0.962 + 0.0298)

CI = (0.9322, 0.9918)

Read more at; https://brainly.com/question/17212516

Answer:

D

Step-by-step explanation:

the first of three parts is what 1/3 is

Answer:

y = 3.2 units

Step-by-step explanation:

Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.

We can use the Law of Cosines to determine the missing side length y.

Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.

Use the Law of Cosines to solve for a (side length y).

Side length y is equal to 3.2 units.

Answer:

Answer is 9 feet = 9 fe 2t

w= 9fe 2t

Step-by-step explanation:

Answer:

8-10i - -16+2i= 236

Step-by-step explanation:

I am brainliest

Answer:

-16

Step-by-step explanation:

(8-10i) - (-16+2i)

2i - (-14i)

-16

Answer:

10 cm cubed or 10^3cm

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

6 sides x 10 x 10 = 600

this is the surface area

Answer:

use inspection level 4 ( IV )  to perform a normal inspection or tightened inspection to derive a sampling plan procedure from MIL STD 414

Step-by-step explanation:

Having an  AQL of 1.55

assuming lots size of 7000

Std = unknown

To derive a sampling plan

use inspection level 4 ( IV ) where the sample size is denoted as M ( i.e. sample size n = 14)  which will reciprocate an acceptable quality level of 1.5%. on a normal inspection the value of K will be = 1.4 but if we employ a tightened inspection the value of K will become 1.54 in value

note that : both the normal and tightened inspection can be performed using the same table

Answer:

21.99 or just round to 22

Step-by-step explanation:

Radius is 3.5

Diameter is 7

Circumference is 21.99

Answer:

1st Circle

Radius = 3.5

Diameter = 7

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3.5 = 21.98

2nd Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

:DDDDDDDDD

Answer:

87 , 84, 81, 78, 75

Step-by-step explanation:

it goes down each time by threes

Answer:

Marie Skłodowska-Curie

Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.

^ po polsku być powinno

Kto Polska?

873 divided by 35= 24 33/35

Answer:

10y+4

Step-by-step explanation:

perimeter=2(l+b)

2(4y+(y+2))

2(4y+y+2)

2(5y+2)

10y+4

Answer:

Step-by-step explanation:

Add the first two columns - third column. See if it equals last column.

Number one is correct, number 2 is off by $1.00,etc

let me know if you are still confused

Step-by-step explanation:

C=2πR=πD=3.14*32=100.5 mm

Answer:

the answer is -0.4.  

Step-by-step explanation:

brainliest if right maybe?

Answer:

Variation factor k = 1/3

New volume when the base (area) is 8inches^2 and the height is 12inches is 32 in3

Step-by-step explanation:

As we know,  

The volume of cylinder (V) is given by πr²h  

Here  πr² = base area and h is the height of the cylinder

V ∞ πr²h

V = kπr²h  

Substituting the given values, we get  

40 = 6 x 20 x k

40 = 120k and

k   = ⁴⁰/₁₂₀

    = ¹/₃.

Volume when base area = 8in² and h = 12 inch

V = 8 x 12 x ¹/₃

V = 32in³

Answer:

AC and AE

Step-by-step explanation:

Those are the only secants in the image shown.

Answer:

First, compute the z-score:

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

For the given data the value of the z score will be 1.5

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+√8²=24²

24≠576

not a right angled triangle

again

5²+√5²=5²

50≠25

side are not a right angled triangle

again

4²+7.5²=(8.5)²

72.25=72.25

side are a right angled triangle

9514 1404 393

Answer:

  5 + 8 = 45

Step-by-step explanation:

We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.

Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.

Following this pattern, we have ...

  4 + 7 = 32

  5 + 8 = 45

_____

Additional comment

Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...

  f(1, 4) = 5

  f(2, 5) = 12

  f(3, 6) = 21

and asked to predict the value of f(5, 8).

f may be any of a variety of functions. A couple of them are ...

  f(x, y) = x^2 +4y -12

  f(x, y) = y^2 -2x -9

or ...

  f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)

Answer:

f(x) = (x - 3)^2 + 34

Step-by-step explanation:

Answer:

(7x−2y)(a−b)

Step-by-step explanation:

To tell the truth I am just guessing from what I know I AM ONLY 13 DON"T EXPAECT TOO MUCH FROM ME!