What is the domain of this function? ​

Answer:

the confidence interval is 1.2282 and 0.269

Step-by-step explanation:

n = 7

the mean of the sample =

0.59+0.68+0.10+0.98+1.37+0.55+0.97/7

= 5.25/7

= 0.74857= 0.7486

the standard dev!aton of the sample

= √(0.59-0.7486)²+(0.68-0.7486)²+(0.1-0.7486)²+(0.98-0.7486)²+(1.37-0.7486)²+(0.55-0.7486)²+(0.97-0.7486)²/n-1

= √0.02515+0.0047+0.4206+0.0535+0.3861+0.03944+0.0490/6

= √0.9786/6

= √0.163083

= 0.4038

degree of freedom = 7-1= 6

crtcal value at 2% significance and df of 6 = 3.143

confidence interval =

0.7486±3.143(0.4038/√7)

= 0.7486±3.143(0.1526)

0.7486+0.4796 = 1.2282

0.7486-0.4795 = 0.269

=

Answer:

1). Option (H)

2). Option (C)

3). Option (C)

4). Option (G)

5). Option (E)

Step-by-step explanation:

(1). Integers are the ''whole numbers''.

  Therefore, negative integer will be a whole number with negative notation =(-8).

  Option (H) will be the answer.

(2). "Numbers that can not be written as a fraction are irrational numbers"

   Option (C). √7

(3). "Whole numbers are the basic counting numbers starting from 0"

  Option (C). 0

(4). A rational number is a number that can be written as a fraction(in the form of [tex]\frac{p}{q}[/tex].

  Option (G). [tex]\frac{3}{4}[/tex]

(5). "All positive integers are the natural numbers."

  Option (E). 12

Answer:

1: 1/2

2: 1

3: Assuming 2 medium triangles = 1 large triangle, then 2

Step-by-step explanation:

1: 2 small triangle makes 1 square. So, if we divide the area of the square (1 square unit) by 2 because 2 small triangles make 1 square, we get 1/2.

2: 2 small triangles makes 1 medium triangle, so using the above logic, 1/2 X 2 = 1.

3: Assuming 2 medium triangles = 1 large triangle, then the same thing applies. medium * 2 = 2

Answer:

x = -5/9

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2(3 - x) = 16(x + 1)

Step 2: Distribute

6 - 2x = 16x + 16

Step 3: Add 2x on both sides

6 = 18x + 16

Step 4: Subtract 16 on both sides

-10 = 18x

Step 5: Divide both sides by 18

-10/18 = x

Step 6: Simplify

-5/9 = x

Step 7: Rewrite

x = -5/9

Answer: 1) 6 2) 6 3) 9

Step-by-step explanation:

4x=24 can be solved by dividing both sides by 4, which would isolate x. 4x divided by 4 is x, and 24 divided by 4 is 6. you are left with x = 6. the answer for 1) is 6.

3x = 18 can be solved similarly by dividing both sides by 3. you are left with x = 6.

9x = 81 is also solved similarly by dividing both sides by 9. 81 divided by 9 is 9, so x = 9.

Answer:

.o55555555555555555555555

Step-by-step explanation:

Answer:

Volume of Beads = 84 mm³

Step-by-step explanation:

Given:

Side of base = 6 mm

Height = 7 mm

Find:

Volume of Beads

Computation:

Volume of Beads = Volume of a square pyramid

Volume of Beads = [1/3][Area of base][h]

Volume of Beads = [1/3][6 x 6][7]

Volume of Beads = 84 mm³

Answer:

Inequality

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Find two points that would satisfy the equation.

When x = 1:

[tex]y=3(1)\\\\y=3[/tex]

One point would be (1, 3).

When x = 2:

[tex]y=3(2)\\\\y=6[/tex]

Another point would be (2, 6).

Graph the points (1,3) and (2,6) and draw a line crossing through them.  

Hope this helps.

Answer and Step-by-step explanation:

p= probability of straight stitching = 89.4% = 89.4/100= 0.894

n = the total sample of randomly selected baseballs

x = quantity of baseballs that have straight stitching = 5

x follows a binomial distribution

p(X=x) = nCx * p^x(1-p)^n-x

= 7C5 * 0.894⁵ * (1-0.894)⁷⁻⁵

= 21 * 0.571 * 0.011236

= 0.1347

= 13.47%

the probability is only 13.47% therefore the company has to stop the production line

Answer:

I made it to this and I don't know what to do for the rest sorry.

Step-by-step explanation:

y-5=-2(x-6)

+5      +5

y=3(x-6)

y=3x-18

Answer:

0.003

Step-by-step explanation:

P-value = The value of probability.

P value can be defined are the probability of a given test statistic ( which could be z score, t score, f score) that is can be less than, equal to or greater than a given null hypothesis.

In the above question, the test statistic we are given = z score.

z score = -2.73

To find the P- value, we can make use of a z table for normal distribution.

Hence, P(z = -2.73) = 0.0031667

Approximately to the nearest thousandth = 0.003

Answer:

The answer is attached as an image.

Step-by-step explanation:

- If we assume that the space is 100% of the population then:

88% have something and 12% have nothing.

So within the 88% there are 10% who have TV, 20% who have Radio and 58% who have both TV and Radio.

Answer:

512 cm^3

Step-by-step explanation:

The side length is 8 cm

V = s^3 where s is the side length

V = 8^3

   =512 cm^3

Answer: 512 cm³

Explanation: Since the length, width, and height of a cube are all equal,

we can find the volume of a cube by multiplying side × side × side.

So we can find the volume of a cube using the formula v = s³.

In the cube in this problem, we have a side length of 8 cm.

So plugging into the formula, we have (8 cm)³

or (8 cm)(8 cm)(8 cm), which is 512 cm³.

So the volume of the cube is 512 cm³.

Answer:

8:5

Step-by-step explanation:

I'm honestly not sure how to explain this because it's just a ratio, but good luck!

Answer:

y=1/2x+0 m=1/2 b=0

Step-by-step explanation:

You first need to find the slope of this line, the equation for this is.

(y2-y1)/(x2-x1)

In this case it is (3-1)/6-2)

This simplifies to 1/2.

This graph also does not have a +b as when you graph y=1/2x, it already passes through the 2 points shown.

This question is incomplete, the complete question;

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18

Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.

Answer: H₀ : The distribution of fatal accidents between each month is same

Step-by-step explanation:

H₀ : The distribution of fatal accidents between each month is same

H₁ : The distribution of fatal accidents between each month is different

Let the los be alpha 0.10

given data ;

       Observed    Expected  

Mon   Freq (Oi)   Freq Ei       (Oi-Ei)^2 /Ei

Jan      11    16.0833        1.606649

Feb      13    16.0833        0.591105

Mar      22    16.0833        2.176598

Apr       11    16.0833        1.606649

May     15    16.0833        0.072971

Jun     29    16.0833        10.373489

Jul     15    16.0833        0.072971

Aug       9    16.0833        3.119603

Sep      13    16.0833        0.591105

Oct      15    16.0833        0.072971

Nov      22    16.0833        2.176598

Dec      18    16.0833       0.228411

Total:   193     93                22.689119

Expected Freq ⇒ 193 / 12 = 16.08333

Test Statistic, x² : 22.6891

Num Categories: 12

Degrees of freedom: 12 - 1 = 11

Critical value X² : 24.725

P-Value: 0.0195

since Chi-square value < Chi-square critical value

and P-value > alpha 0.01 so we accept H₀

Therefore we conclude that the distribution of fatal accidents between each month is same

Answer: 96x-70

Step-by-step explanation: -10+90x+6x-60

                                             =96x-70

Answer:

96x  -70

Step-by-step explanation:

-10(1 - 9x) + 6(x - 10)

Distribute

-10 +90x +6x - 60

Combine like terms

90x+6x - 10-60

96x  -70

Answer:

Step-by-step explanation:

Since it's a cube all it's sides are equal

Volume of a cube = l³

where

l is the length of one side

From the question

Volume = 4913 ft³

Substitute the value into the above formula and solve for the length

That's

[tex] {l}^{3} = 4913[/tex]

Find the cube root of both sides

We have

[tex] \sqrt[3]{ {l}^{3} } = \sqrt[3]{4913} [/tex]

We have the final answer as

Hope this helps you

Answer:

17 because 17 x 17 x 17 =4913

Step-by-step explanation:

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Suppose the number is X  given that one half is a third of my number which is X.

[tex]\frac{1}{2}[/tex] = [tex]\frac{x}{3}[/tex]

multiply by 3 both sides

[tex]\frac{x}{3}[/tex] x 3 = 3 x [tex]\frac{1}{2}[/tex]

X= [tex]\frac{3}{2}[/tex]

Answer:

No, All quadrilateral don't have all right angles.

▶A square, rectangle have all right angle but a parallelogram don't have all right angle

Hope you understand it✔

Answer:

No all quadrilateral doesnot have all right angle

The quadrilateral that have all angles of 90 degree

The quadrilateral that doesnot have all angles

of 90 degree

Hope it helps u mate

4 minutes to walk there, 5 minutes to walk back, 4+5 = 9 minutes total walking time. Add this onto the 1 minute to get the copier set up and we have 9+1 = 10 minutes so far.

The copier can print 38 pages per minute. There are 836 copies, so 836/38 = 22 minutes is needed to print out all the pages.

So we have 22+10 = 32 minutes in total so far. Add on the last 5 minute stretch (going from the math department to your 2PM class) to get to 37 minutes. You'll need 37 minutes total.

You didn't provide a starting time, but we can subtract 37 minutes from 2PM to get

02:00 - 00:37 = 01:23

Meaning that if you left the math department at 1:37 PM, then you'd do all those tasks to get to your next class at 2 PM exactly, assuming no other things happen. So it's best to leave before 1:37 PM

Answer:

-9, -6, and -2

Step-by-step explanation:

Simply evaluate the function at the extremes of the domain to find the range of elements that are solutions to f(x).

f(-1) = (1/2) - 10 = -9.5

f(3) = 8 - 10 = -2

Notice -9, -6, and -2 fall into those ranges. To verify integer solutions, simply plug in the remaining integers 0, 1, and 2.

f(0) = 1 - 10 = -9

f(1) = 2 - 10 = -8

f(2) = 4 - 10 = -6

Cheers.

Answer:

14+22i

Step-by-step explanation:

We multiply and simplify (3-5i)(-2+4i)​ to get:

14 + 22i

A complex number is a number of the form a + bi, where a and b are real numbers, and i is an imaginary unit satisfying i² = -1. For example, 2 + 3i is a complex number.

Complex numbers can be multiplied using the following rules:

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

Thus, the two complex numbers can be multiplied and simplified as follow:

(3-5i)(-2+4i)​ = 3(-2+4i)​ -5i(-2+4i)​

                    = 3(-2) + 3(4i) -5i(-2) -5i(4i)

                    = -6 + 12i + 10i -20i²

                   = -6 + 22i + 20    (Note: i² = -1)

                   = -6 + 20 + 22i

                   = 14 + 22i

Learn more about complex numbers on:

brainly.com/question/5564133

#SPJ6

Answer:

a.) because one month isn't very long

Step-by-step explanation:

Answer:

if you can provide the figure it would be quite easy for the people giving answers

When multiplying similar numbers raised to different exponents the exponents get added together.

The answer is : Suzy because when you multiply the exponents, you are finding the sum of the exponents.

Answer:

40%

Step-by-step explanation:

Total students = 25

Boys = 15

Girls = 25 - 15 = 10

Percent of girls = 10/25

Percent is out of 100.

=> 10/25 = x/100

=> Cross multiply

=> 25 * x = 100 * 10

=> 25x = 1000

=> 25x/25 = 1000/25

=> x = 40

So, 40% are girls

Answer: about 78 mL

Step-by-step explanation:

When you see the liquid in a curved shape, you want to look at the very bottom of the curve. The bottom shows that our answer will be in the 70 mL, but close to 80. If you look at the lines in between, we can see that there are 5 lines, meaning each line represents 2 mL. Now, we count up and reach 78 mL.