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2 years ago

Between which two consecutive integers does the cube root of 23 lie

Mathematics

2 answers:

balandron [24]2 years ago

6 0

Answer:

2 and 3

Step-by-step explanation:

consider perfect cubes either side of 23

8 < 23 < 27 , then

$\sqrt[3]{8}$ < $\sqrt[3]{23}$ < $\sqrt[3]{27}$ , that is

2 < $\sqrt[3]{23}$ < 3

diamong [38]2 years ago

5 0

Answer:

Step-by-step explanation:

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) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase

xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

$P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}$

$P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]$

$P(x=3)=(4)(0.008)(0.80)=0.0256$

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

$P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}$

$P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]$

$P(x=0)=0.4096$

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0

3 years ago

Justify each step of this inequality by stating the property that was used to get to each step.

Allushta [10]

Answer:

Step-by-step explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4

6 0

2 years ago

Let f(x) =7x-13. Find f -1(x)

muminat

If you’re trying to find f(-1) it would be -20

5 0

3 years ago

Read 2 more answers

A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?

zepelin [54]

Answer:

$(11\frac{1}{3},20)$

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

$N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40$

$N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}$

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

$N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600$

Thus, the rate of change of sales $N'(x)$ is increasing in the interval $(11\frac{1}{3},20)$ on 10≤x≤40.

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%28-5g%5E%7B5%7Dh%5E%7B6%7D%29%5E%7B2%7D%28g%5E%7B4%7Dh%5E%7B2%7D%29%5E4%20%20%20%20%20" id

Elenna [48]

I dont understand this

3 0

2 years ago