HOW WOULD I SOLVE THIS? WITH WHAT FORMULA AND WHAT IS THE ANSWER

At the grocery store, Hosea has narrowed down his selections to 7 vegetables, 6 fruits, 5 cheeses, and 6 whole grain breads. He

bixtya [17]

Answer: 92378

Step-by-step explanation:

Given : At the grocery store, Hosea has narrowed down his selections to 7 vegetables, 6 fruits, 5 cheeses, and 6 whole grain breads.

Total items : 7+6+5+6=24

If he wants all cheeses , then the remaining items needed to be select = 15-5=10

Total items left from which he will select = 24-5=19

No. of combinations of r things out of n : $C(n;r)=\dfrac{n!}{r!(n-r)!}$

The combination of 10 things selecting from 19 things given by :-

$C(5;5)\timesC(19;10)=\dfrac{19!}{10!(19-10)!}\\\\=(1)\times\dfrac{19\times18\times17\times16\times15\times14\times13\times12\times11\times10!}{10!9!}\ \because ^nC_n=1\\\\=92378$

Hence, the number of ways he can choose 15 items to buy if he wants all 5 cheeses =92378

7 0

3 years ago

What is the value of x? 3x−8=8x+4/2 Enter your answer in the box

krek1111 [17]

For this case we must find the value of "x" of the following expression:

$3x-8 = \frac {8x + 4} {2}$

Multiplying by 2 on both sides of the equation:

$2 (3x-8) = 8x + 4\\6x-16 = 8x + 4$

Subtracting 8x from both sides of the equation:

$6x-8x-16 = 4\\-2x-16 = 4$

Adding 16 to both sides:

$-2x = 4 + 16\\-2x = 20$

Dividing between -2 on both sides:

$x = \frac {20} {- 2}\\x = -10$

Answer:

$x = -10$

6 0

3 years ago

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solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

a)

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is

$\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}$

Hence, the exponential growth function is

$N(t)=23900(1.00984)^t$

b)

For the population of the city in 2022,

$\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}$

Substitute for t into the exponential growth function

$\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}$

Hence, the population is 2022 is 27700 (nearest hundred)

8 0

1 year ago

100 POINTS + BRAINLIEST !!!!!!!!

spin [16.1K]

Answer: (i) 15% (ii) 0.6%

<u>Step-by-step explanation:</u>

Given: P(A) = 0.3 ⇒ ~P(A) = 0.7

P(B) = 0.3 ⇒ ~P(B) = 0.7

P(A ∪ B) = 0.6 ⇒ ~P(A ∪ B) = 0.4

If you don't have a calculator function for the Binomial Formula, the equation is: $P(X)=\dfrac{n!}{X!(n-X)!}\cdot p^X\cdot (1-p)^{n-X}$ where

n is the number of trials
p is the probability of success
X is the number of successes

(i) Probability of at least 5 --> P(X ≥ 5) means P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(5): n = 10, p = 0.3, X = 5 → P(5) = 0.1029

P(6): n = 10, p = 0.3, X = 6 → P(6) = 0.0368

P(7): n = 10, p = 0.3, X = 7 → P(7) = 0.0090

P(8): n = 10, p = 0.3, X = 8 → P(8) = 0.0014

P(9): n = 10, p = 0.3, X = 9 → P(9) = 0.0001

P(10): n = 10, p = 0.3, X = 10 → P(10) =<u> 0.0000 </u>

TOTAL = 0.1502 → 15.02%

(ii) Probability of A or B = 10 --> P(X = 10)

P(10): n = 10, p = 0.6, X = 10 → P(10) = 0.0060 → 0.6%

4 0

3 years ago

I someone’s help ASAP!

Natasha_Volkova [10]

Answer:

0.1

Step-by-step explanation:

(9/10)/9

= 0.9 / 9

=0.1

8 0

3 years ago

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