A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.

Answer:

[tex]\mathbf{ \dfrac{128}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]

[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]

[tex]Then;[/tex]

[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]

[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]

∴

[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]

[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]

∴

[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]

[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]

[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]

∴

[tex]\mathbf{V = \dfrac{128}{3}}[/tex]

Answer:

50

Step-by-step explanation:

PEMDAS

3(2)+24/2+2(3+7)

Pemdas

3(2)+24/2+2(10)

PeMDas

6+24/2+20

6+12+20

PemdAs

38

Answer:

20 grams

Step-by-step explanation:

I did this, but I'm not sure if I'm 100% correct. Here is my answer though:

m=F/a

m=11.2/520

m=0.02kg

0.02kg=20 grams

Answer:

0.02kg

Step-by-step explanation:

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer:

[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]

So, it will take Elias 70 minutes to fold 210 packing boxes.

Answer:

m=4

Step-by-step explanation:

Answer:

4, subtract 7 from both sides m = 4

the answer is 23...........

Answer:

dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Solution :

Let :

X = number of overtime hours

S = total weekly salary

S = [tex]$12 \times 40 + 18 \times X$[/tex]

S = 480 + 18X

E(S) = [tex]$480 + 18 \times E(X)$[/tex]

[tex]$E(S) = 480 + 18 \times 15$[/tex]

        = 750

Mean of S = 750

Var (S) = [tex]$18^2 \times Var(X)$[/tex]

Var(S) = [tex]$18^2 \times 4^2$[/tex]

          = 5184

Variance of S = 5184

The standard deviation equals square root of 5184 = 72

Answer:

72 candies

Step-by-step explanation:

she had 6 boxes with 6 bags each so that equals 36 and each bag has 2 candies so 36 times 2 equals 72

hope this helped plz give brainliest

ella tenía 6 cajas con 6 bolsas cada una, por lo que es igual a 36 y cada bolsa tiene 2 caramelos, por lo que 36 por 2 es igual a 72

Espero que esto haya ayudado por favor a dar lo más inteligente

Answer:

312.5

Step-by-step explanation:

Answer:

Corresponding Angles

Step-by-step explanation:

They are both in the same positions but just on different lines meaning they are corresponding :)

The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.

The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.

The angles 1 and 4, angle 2 and 3 are vertically opposite angles.

Similarly, 5&8 and 6&7 are vertically opposite angles.

The angle 4 and angle 8 are corresponding angles.

Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer:

Y= -5/3x -1

Step-by-step explanation:

Answer:I Don't Know

Step-by-step explanation:

Answer:

190.8

Step-by-step explanation:

Im pretty sure my math is wrong but i hope this helps

Answer:

61

Step-by-step explanation:

Arc AC = 180

Arc DC = 58

Arc AC = Arc AD + Arc DC

180 = Arc AD + 58

122 = Arc DC

Tangent Chord Angle = 1/2Intercepted Arc

Angle DBA = 1/2 Arc DC

Angle DBA = 1/2 (122)

Angle DBA = 61

Answer:

Step-by-step explanation:

The average of two numbers?

6+x = 4.5*2 = 9

x = 3

Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

Answer: 12 x 7 = 72

Step-by-step explanation:

Answer:

Square root of 193

Step-by-step explanation:

7^2+12^2=x^2

Switch sides: x^2=7^2+12^2

After everything is squared: x^2=49+144

x^2=193 OR x=\sqrt{193}

Answer:

1/4+1/4+1/4+1/4+1/4+1/4= 1.5

3/10x2/3= 0.2

2/4x2/3= 0.33333333333  (just put 0.3 with a line on top of the 3)

6 divided by 1/2 = 12/1 or 12

9 divided by 1/3 = 27/1 or 27

2/5 divided by 3/4 = 8/15

1/2 divided by 2/3 = 3/4

Answer: 85.7

Step-by-step explanation:

Answer: Thursday

Step-by-step explanation:

I hope this helps

Answer: Thursday

Step-by-step explanation:

It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.

Hope this helps :)

Step-by-step explanation:

w = 4

y = 4√2

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The given arcs have the ratio ...

  BRA : BSA = (3/2) : 1 = 3 : 2

Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.

  0.6(2πr) = 6π . . . . . BRA is 6π long

  r = 6π/(1.2π) . . . . . . divide by the coefficient of r

  r = 5 . . . . centimeters

Answer:

it is 84 inches all together

Answer:

84 inches

Step-by-step explanation:

have a good day

may i please  get a branlillest

Answer:

7

Step-by-step explanation:

27-17=10

17-10=7

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

Answer:

I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.

Answer:

c

Step-by-step explanation: