162 water bottles and 96 equals what

Square root of 2025 by prime factorisation method<br>Please explain step by step

Mice21 [21]

Answer:

45

Step-by-step explanation:2025....use the smallest prime number to divide the number 2025 till you get to a point were it can't be divided again . Group each prime number with a partner of its value like this :

5×5×3×3×3×3........ then use bracket to separate them like this (5×5)(3×3)(3×3)........ then take a number from each 5×3×3 then multiply to get 45

4 0

3 years ago

Surface area of this figure?

Lelechka [254]

Surface area is:
6*8=48
12*10=120
8*12=96
6*12=72

48+72+120+96 = 336
The surface area is 336 square km

7 0

3 years ago

Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and

torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

$P(X=x) = C(n,x)p^{x} (1-p)^{n-x}$

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

$C(n,x) = \frac{n!}{x!(n-x)!}$

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

$p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102$

b) At least 3 customers make a purchase. x ≥ 3

$P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557$

c) At most 2 customers make a purchase. x ≤ 2

$P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443$

d)At least 1 customer makes a purchase. x ≥ 1

$P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824$

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0

3 years ago

50 POINTS!! EASY!

frosja888 [35]

9514 1404 393

Answer:

y = -16
x = 10

Step-by-step explanation:

The direct proportion equation is ...

y = kx

where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...

y = -2x

For x=8, the value of y is ...

y = -2(8) = -16 . . . . . do the multiplication

For y = -20, the value of x is ...

-20 = -2x

10 = x . . . . . . . . . divide both sides by -2

3 0

3 years ago

Read 2 more answers

Multiply this expression and check:(4y^3+4y^2+8)(6y-4)

emmasim [6.3K]

(4y³ + 4y²+8)(6y - 4)

Simplify.

24y⁴ - 16y³ + 24y³ - 16y² + 48y - 32

Add like terms.

24y⁴ + (-16y³ + 24y³) -16y² + 48 - 32

Simplify.

24y⁴ + 8y³ - 16y³ + 16

~Hope I helped!~

7 0

3 years ago