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Phoenix [80]
3 years ago
14

Hosea's doctor has recommended that his daily diet should include 4 vegetables, 3 fruits, and 3 whole grains. At the grocery sto

re, Hosea has a choice of 16 vegetables, 11 fruits, and 7 whole grains. In how many ways can he get his daily requirements if he doesn't like to eat 2 servings of the same thing in 1 day
Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

10510500

Step-by-step explanation:

Given :

Recommended daily diet :

Vegetables = 4 ; Fruits = 3 ; Whole grains = 3

Available choices :

Vegetables = 16 ; Fruits = 11 ; While grains = 7

Using the combination relation ; The number of ways in which daily requirement can be gotten is

Vegetable = 16C4

Fruits = 11C3

Whole-grains = 7C3

Recall:

nCr = n! ÷ (n-r)!r!

Using calculator :

16C4 * 11C3 * 7C3

1820 * 165 * 35

= 10510500

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Their sum is 6 and their difference is 36<br> Help plz
Ivan

Answer:

Step-by-step explanation:

if you can use negative numbers then   you could use 21 and -15

so

adding them together is  21 + (-15) = 6

and then subtracting  21 - (-15) =

                                     21 + 15 = 36

do you think that would work ?  :/

3 0
3 years ago
Read 2 more answers
Identify which statement is true a. -0.3 greater than -0.3 (repeats) b. 7/8 is greater than 9/10 C. 1 2/3 greater than 1.7 D. -1
geniusboy [140]
A. -0.3 equals (=) -0.3 so that's false
B. 7/8 is less than (>) 9/10
C. 1 2/3 is less than (<) 1.7
D. -1.2 is less (<) 0.521
3 0
3 years ago
Solve for x in the diagram.<br><br> <br><br>       A. 25   B. 15   C. 14   D. 37
s344n2d4d5 [400]
The answer is 15and not the others
6 0
3 years ago
In a experiment, the probability that event A occurs is 5/9, the probability that event B occurs is 5/7, and the probability tha
Ymorist [56]

Answer:

52.5% probability that A occurs given B occurs

Step-by-step explanation:

Suppose we have two events, A and B, the conditional probability formula is:

P(A|B) = \frac{P(A \cap B)}{P(B)}

In which

P(A|B) is the probability of A happening given that B happened.

P(A \cap B) is the probability of both A and B happening.

P(B) is the probability of B happening.

In this problem, we have that:

P(A \cap B) = \frac{3}{8}, P(B) = \frac{5}{7}

So

P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{3}{8}}{\frac{5}{7}} = 0.525

52.5% probability that A occurs given B occurs

7 0
3 years ago
A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following
GenaCL600 [577]

Answer: a. The correlation coefficient of the data is positive.

Step-by-step explanation:

Estimated slope of sample regression line  = \dfrac{Upper \ limit + lower\ limit}{2}

Here , confidence interval :  (-0.181, 1.529)

Estimated slope of sample regression line  = \dfrac{-0.181+1.529}{2}

=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]

⇒Correlation coefficient(r) must be positive, So a. is true.

But, d. and e. are wrong(0.674 ≠ 0 or 1.348).

We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.

We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong

So, the correct option : a. The correlation coefficient of the data is positive.

7 0
3 years ago
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