2 years ago

Evaluate what’s in the picture.

Mathematics

1 answer:

Anna11 [10]2 years ago

8 0

Answer:

8P3 = 336

9C4 = 126

Step-by-step explanation:

8P3 = 8! ÷ 5! = 8x7x6 = 336

9C4 = 9! ÷ (5!·4!) = (9x8x7x6) ÷ (4x3x2) = 126

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In a random sample of 90 students in first grade, the mean hours of sleep per night was 9.2 with a standard deviation of 0.37 in

ss7ja [257]

Answer:

Option C is right

Step-by-step explanation:

Given are two samples

I group has sample size 90, mean = 9.2 and std dev =0,.37

II group has sample size 70, mean = 7.3 and std dev = 0.58

we find that mean difference i.e. difference between mean hours of sleep between two groups

= 9.2-7.3 = 1.9

Std error for difference = 0.0620

Since sample size is sufficiently large we can use Z critical for 99%

i.e. 2.58

Margin of error =±2.58(0.062)

=0.16

Hence confidence interval 99% for difference in hours of sleep

= (1.9-0.16,1.9+0.16)

=(1.74, 2.06)

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2 years ago

Rounding to 1 significant figure, estimate 7.57 x 3.81 pls answer

Sidana [21]

Answer:

18.45

Step-by-step explanation:

7 0

2 years ago

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Latasha deposits 250$ into a account savings. The simple intrest rate paid is 3.5%. how much interest does Latasha earn in one y

Afina-wow [57]

Answer:
$258.75

step-by-step explanation:
$250 • 3.5%
8.75
$250 + 8.75%
$258.75

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2 years ago

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A single bacterium lands in your mouth and starts growing by a factor of 4 every hour. After how many hours will the number of b

Ierofanga [76]

Answer:

After 5 hours, the number of bacteria will be 1024

Step-by-step explanation:

1 times 4 = 4

4 times 4 = 16

16 times 4 = 64

64 times 4 = 256

256 times 4 = 1024

It will take around 5 hours to exceed 1000

8 0

1 year ago

A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit pric

Sladkaya [172]

Answer:

9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22

Step-by-step explanation:

Unit price of any product is given by

unit price = weight of product/ price of product

Given sizes

13.5 ounces bottle cost $2.98

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22

Unit price for this size is $.022

9.2 ounce bottle cost $6.12

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66

Unit price for this size is $0.66

As $0.22 is less than $0.66 thus,

9.2 ounce bottle cost $6.12 is better buy.

6 0

2 years ago