a local bank needs information concerning the savings account balances of its customers. a random sample of 15 accounts was checked. the mean balance was $686.75 with a standard deviation of $256.20. find a 98% confidence interval for the true mean. assume that the account balances are normally distributed. round to the nearest cent.

Answer:

AB = 19.6 cm

Step-by-step explanation:

Let AB be represented by c. Applying the cosine rule, we have;

[tex]c^{2}[/tex] = [tex]a ^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C

  = [tex]12^{2}[/tex] + [tex]18^{2}[/tex] - 2(12 x 18) Cos [tex]79^{o}[/tex]

  = 144 + 324 -432(0.19081)

  = 468 - 82.4299

[tex]c^{2}[/tex] = 385.5701

c = [tex]\sqrt{385.5701}[/tex]

c = 19.6359

The side AB of the given triangle is 19.6 centimetres.

Answer:

19.6

Step-by-step explanation:

took the quiz. Shows correct

Answer:

'no' and 'show no pattern'

Step-by-step explanation:

with scatter plots like these, there is no exact information at all, what so ever

Answer:

linear positive/ follow a linear pattern

Step-by-step explanation:

Answer:

The area of the dance floor will be 788.48ft²

Step-by-step explanation:

Since 5cm represents 8ft, it means

1cm represents 8/5ft.

The scale length is 22cm, therefore the actual length would be

22 x 8/5ft = 35.2ft

The scale breadth is 14cm, therefore the actual breadth would be

14 x 8/5ft = 22.4ft

The area of the dance floor will be

(35.2ft)(22.4ft) = 788.48ft²

Answer: 1/4

Step-by-step explanation:

A coin has two outcomes which are either the head or the tail. When a coin is tossed, the probability of getting a head is 1/2 and likewise for a tail.

Therefore, the probability for two coins being tossed at the same time to both land on heads will be:

= 1/2 × 1/2

= 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

All sides are equal better explenation bellow

Step-by-step explanation:

It's a mirror flip of a ABC triangle

Yet you can say AB Is = to DE

And since most likely it's a 60° triangle all the angles are 60°

All triangles have 180°

Which means AB =BC

BC= AC

BC =CD

DE= CD

CE=DE

Which means all the sides are equal

Answer:

The answer is D) d=3!!!!!

Answer:

8×1/9

Step-by-step explanation:

It is same as 8/9 because 8×1=8

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]

Answer:

8

Step-by-step explanation:

Answer is =8cm

Step-by-step explanation:

d=2r=2·4=8cm

Answer:

98 ft

Step-by-step explanation:

28x2 + 19x2

=98

Answer:

Is the room a rectangle size? If so:

28 + 28 = 56

19 + 19 = 38

56 + 38 = 94 ft.

Opposite sides are parallel and equal:

therefore whenever there is two given lengths make sure to multiply them two times then add them together if only its a rectangle.

if its a square make sure to multiply the given length 4 times.

Answer:

i only know one answer which is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think b and d

Answer:36

Step-by-step explanation:

.

Answer:

36 will be the measure.

Hope it helps!!!

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

72⁰

HOPE IT HELPS YOU THANK YOU ☺

Answer:

37 degree

Step-by-step explanation:

RQS is suspened by arcRS

RQS=1/2(RS)

RQS=1/2(74)

RQS=37

Answer:

its b

Step-by-step explanation:

Answer:

1) f - 2

2) 45 + b

3) s - 82

4) 52c

5) t/5

Answer:

1) f-2

2) 45+b

3) s-82

4)52c

5)t/5

Answer:

<FNM = 73

Step-by-step explanation:

we are given

GNF = 60

MNL = 47

60+47=107

107-180=73

Answer:

20 sq units

Step-by-step explanation:

Answer:

20 sq units

Hope it helps :)

Answer:

Independent

Step-by-step explanation:

The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.

Answer:

Hi! The answer to your question is 0.142857. (Convert the fraction to a decimal by dividing the numerator by the denominator)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

12 000 × 15/100

= $1 800

value of the car = 12 000 - 1 800

= $ 10 200

Answer:

140°

Step-by-step explanation:

The sum of interior angles of a n-agon is (n - 2) * 180°

a hexagon should have the sum of angles equal to

4 * 180° = 720°

Now we know that the other five angles have total measure

80° + 90° + 130° + 130° + 150° = 580°

So the sixth one has to be:

720° - 580° = 140°

Answer:140°

Step-by-step explanation: required equation : 180*(n-2)

since it is a hexagon, the sum of all interior angles=180*(6-2)

                                                                                       =180*4 =720°

now the measure of 6th angle=720 -(80+90+130+130+150)

                                                    = 720 -580

                                                   = 140

Answer:

£1067.22

Step-by-step explanation:

A = P(1 + rt)

A = £990(1 + 0.026*3)

A = £1067.22

Mark brainliest if this helped!

Mark brainliest if this helped!