Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?

WRITEN RESPONE

Using the t-distribution, as we have the standard deviation for the sample, it is found that it can be concluded that the holes are being punched an average of 1. 84 cm.

At the null hypotheses, it is tested if the mean is of 1.84 cm, that is:

[tex]H_0: \mu = 1.84[/tex]

At the alternative hypothesis, it is tested if the mean is different of 1.84 cm, that is:

[tex]H_1: \mu \neq 1.84[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

Considering the hypothesis and the given sample, it is found that the parameters are as follows:

[tex]\overline{x} = 1.85, \mu = 1.84, s = 0.0235, n = 12[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.85 - 1.84}{\frac{0.0235}{\sqrt{12}}}[/tex]

[tex]t = 1.47[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.1 and 12 - 1 = 11 df, the critical value is of [tex]|t^{\ast}| = 1.7959[/tex]

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and it can be concluded that the holes are being punched an average of 1. 84 cm.

More can be learned about the t-distribution at https://brainly.com/question/16313918

Answer:

s=7

p=3s

Step-by-step explanation:

The perimeter is the side length times 3

So the equation would be p=3s

Plug in 21 for p

21=3s

That means s=7

Answer:

Alright so the answer is B but I'll explain why because im nice ig.

Step-by-step explanation:

So lets do some calcumalations.

We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.

So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.

3(4)^1-1 = 3(1); that's the answer

4^1-1 = 1, + 3 = 4 so that wont work either

I hope this helps ya have a great afternoon

Answer:

diameter is half the value of circumference 15/2 =7.5 diameter

Considering the total of peas is 72, Sally's initial number of peas was 56.

Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.

By the end, Sally has 25 peas and Will has 72 peas.

Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:

25 x 2 = 50 peas        22 peas in Will's plate

Before this, Will had given Sally half of his peas

22 peas x 2 = 44 peas              28 peas on Sally's plate

Right before this, Sally gave Will half of her peas:

28 x2 = 56 peas                      16 peas on Will's plate

Let's check this answer:

S= 56            W= 16         -Beginning

S= 28            W=44         - Sally gives Will half of her peas

S= 50            W=22          - Will gives sally half of his peas

S=25             W= 47         -Sally gives will half of her peas

Learn more about peas in: https://brainly.com/question/26169406

Answer:

The key to this question is converting all the mass units to the same unit and adding them all up.

The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

[tex]450gm * \frac{1}{1000} = 0.45kg[/tex]

Now let's add up all the masses.

[tex]53.6kg + 0.45kg + 4.5kg = 58.55 kg\\[/tex]

(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)

To convert this into weight in Newtons, multiply by 9.81 m/s^2

[tex]58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N[/tex]

Answer:

ac is parallel to df because it doesn't intersect with each other

Answer:

D

Step-by-step explanation:

Volume of cube = s^3

    volume = 2.3^3 = 12.167 cm^3

Answer:

5 in

Step-by-step explanation:

The area of a composite shape: area of the bigger shape - the area of the smaller shape.

In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.

1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.

Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.

Area of a rectangle: l x w, where l is the length and w is the width.

Trapeziums

= 1/2 x (3 + 8) x 5.5 x 2

= 1/2 x 11 x 5.5 x 2

= 1/2 x 60.5 x 2

= 30.25 x 2

= 60.5

Rectangle

= 14 x 3

= 42

Area of the shaded region (bigger shape): trapezium + rectangle

= 60.5 + 42

= 102.5

2) Unshaded region (smaller shape):

Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.

= 1/2 x (14 + 25) x 5

= 1/2 x 39 x 5

= 1/2 x 195

= 97.5

3) Area of the bigger shape - the area of the smaller shape

= 102.5 - 97.5

= 5 in²

Answer:

Red

Step-by-step explanation:

Hope it helps :)

Answer: -1

Step-by-step explanation:

Total time used= 15+45+30=90 mins

Initial time=7:45

final time will be 1 hr 30 mins more than initial Time

final time= 9:15 am

Answer:

P=39

Step-by-step explanation:

8X6=48 there's already 9 so

48-9=39

so p=39

Answer:

[tex]3.5\times10^-^1^2[/tex]

Step-by-step explanation:

[tex](7 \times 10^-5) \times (5 \times 10^-8)[/tex]

Evaluate

[tex](7 \times 5)\times(10^-^5\times10^-^8)[/tex]

[tex]35\times10^-^5^-^8[/tex]

[tex]35\times10^-^1^3[/tex]

[tex]35\times10^1\times10^-^1^3[/tex]

[tex]3.5\times10^1^-^1^3[/tex]

[tex]3.5\times10^-^1^2[/tex]

Thus, the answer is [tex]3.5\times10^-^1^2[/tex]

~Lenvy~

Answer:

x>6

Step-by-step explanation:

3x>18

x>6

Any number over 6 can satisfy this inequality.

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~ ☂

[tex]\qquad \sf  \dashrightarrow \: - 0.6(m + 1) = 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - (m + 1) = 3 \div 0.6[/tex]

[tex]\qquad \sf  \dashrightarrow \: - (m + 1) = 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - m - 1= 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 5 + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = - 6[/tex]

I hope it helps ~

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27

The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.

The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.

The standard general equation of a sine function is given as;

[tex]\rm y= AsinB(x-C)+D[/tex]

Where A denotes the amplitude, B is the frequency, D is the vertical shift and  C is the phase shift.

The given data in the problem is;

A is the amplitude= 2

B is the frequency=2

D is the vertical shift =0

C is the phase shift.=[tex]\pi[/tex]

The general equation is found as;

[tex]\rm y= 2sin(2(x-\pi)[/tex]

Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].

To learn more about the sin function refer to the link;

https://brainly.com/question/6826226

From the given information, the tallest player is: Dave.

In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.

We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.

Learn more about sports on https://brainly.com/question/3951300

Answer:

a rhombus would have 2 pairs of parallel sides, or a parallelogram. (First image is parallelogram and second is rhombus)

Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

Answer:

270 sq. m [b]

Step-by-step explanation:

So the area of a triangle is 1/2 bh (1/2 of base x height).

The base of the triangle shown is 20m. The height is 27m.

(1/2) (20)(27) = 270.

The area of this triangle is 270 sq. m (b)

Answer: 26

Step-by-step explanation: Add all the booths together and you will get 300. You will get 300 because the t-shirts booth is $26. Now divide 300 by how many booths there are, which is six. And your mean will be 50.

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

Find out more on area at: https://brainly.com/question/25292087

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:

a/sinA = b/sinB = c/sinC

Where A,B,C are the angles and a,b and c are the opposite sides to the angles.

1)

A = 55°, a = 10. 1, b = 12. 3

10 / sin(55) = 12.3 / sinB

B = 86.01°

A + B + C = 180° (angle in triangle)

55 + C + 86 = 180

C = 39

10 / sin(55) = c / sin(39)

c = 7.68

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Find out more on sine rule at: https://brainly.com/question/4372174

Answer:

Hope the pictures will help. I have done what I knew

Answer:

1. 43.01 mm²

2. 13.82yd

3. 15.71cm

4.18.85m

5. 13.85m²

6. 8.17mm²

Step-by-step explanation:

/ means divided by

* means multiplied by

radius is half of a diameter

circumference of a circle is pi multiplied by diameter

area of a circle is pi multiplied by radius squared

1. radius is 7.4 divided by 2 which is 3.7

radius of 3.7 squared is 13.69

pi multiplied by 13.69 is 43.01

2. diameter is radius times 2

2.2 times 2 is 4.4

ℼ * 4.4 = 13.82

3. pi*5=15.71

4. pi*6=18.85

5. 2.1*2.1 = 4.41 -> pi*4.41 = 13.85

6. 1.3*2= 2.6 -> pi*2.6=8.17

Answer:

$4

Step-by-step explanation:

12÷4=3

20÷4=5

56÷4=14