Use the digits in the number 531,642 to write a number that is greater than and a number that is less than 531,642.

(GIVING 20 POINTS!!) Find the discriminant for the following equation: 3x^2 + 4x = 2 : 8 -8 40 -40

Romashka-Z-Leto [24]

Answer:

40

Step-by-step explanation:

b² - 4ac

= 16 - 4(3)(-2)

= 16 + 24

= 40

5 0

3 years ago

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You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you th

enot [183]

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

7 0

3 years ago

Помогите пожалуйста пожалуйста я сор делаю

inessss [21]

Yeah I’m Russian so x+4 = 911

6 0

2 years ago

Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below

Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

$\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83$

Then, we calculate the z-score

$z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83$

The probabilty can be calculated then as:

$P(X_{50}>40)=P(z>2.83)=0.0023$

5 0

3 years ago

What is the approximate volume of the cone?

KonstantinChe [14]

Answer:

157 cm³

Step-by-step explanation:

Given

Radius (r) = 5 cm

height (h) = 6 cm

Volume of the cone (V) = ?

We have the formula

V = 1/3 *π*r²*h

V = 1/ 3 * 3.14 * 5² * 6

V = 157 cm³

Hope it will help :)

7 0

3 years ago