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2 years ago

Zoe made 6 3/4 cups of fruit salad for a picnic at the picnic they ate 1/3 of the fruit salad how much fruit salad did they eat

Mathematics

1 answer:

yanalaym [24]2 years ago

4 0

6 3/4 = 27/4

27/4 * 1/3 = 27/12

27/12 = 9/4

Answer: 9/4 cups

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Gordon types 3,024 words in 42 minutes. Find the unit rate.

emmasim [6.3K]

Answer:

72 words per minute

Step-by-step explanation:

$\frac{1}{y}= \frac{42}{3024}$

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

y = 72

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2 years ago

Which angle is an x-intercept for the function y = cos(1) A.0 B.2 C. £ D. 2£

noname [10]

Answer: C. $\pi$

=======================================================

Explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that $\cos(\theta) = 0$ when $\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}$

So if $x = \pi$ , then we have

$y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\$

which shows us that $(\pi, 0)$ is the location of one of the infinitely many x intercepts for this function.

3 0

2 years ago

carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6

krek1111 [17]

Hola I speak English so I can’t help you sorry

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2 years ago

A study of the US clinical population found that 24.1% are diagnosed with a mental disorder, 14.9% are diagnosed with an alcohol

jeka57 [31]

Answer:

a) 0.336

b) 0.207

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a person from the clinical population is diagnosed with mental disorder.

B is the probability that a person from the clinical population is diagnosed with alcohol related disorder.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a person is diagnosed with mental disorder but not alcohol related disorder and $A \cap B$ is the probability that a person is diagnosed with both of these disorders.

By the same logic, we have that:

$B = b + (A \cap B)$

We find the values of a,b and the intersection, starting from the intersection.

5% are diagnosed with both disorders.

This means that $A \cap B = 0.05$

14.9% are diagnosed with an alcohol-related disorder

This means that $B = 0.149$

$B = b + (A \cap B)$

$0.149 = b + 0.05$

$b = 0.099$

24.1% are diagnosed with a mental disorder

This means that $A = 0.241$

$A = a + (A \cap B)$

$0.241 = a + 0.05$

$a = 0.203$

(a) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?

Desired outcomes:

Mental and alcohol-related disorders, which $A \cap B$ . So $D = 0.05$

Total outcomes:

Alcohol-related disorder, which is B. So $T = 0.149$

Probability:

$P = \frac{0.05}{0.149} = 0.336$

(b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder?

Desired outcomes:

Mental and alcohol-related disorders, which $A \cap B$ . So $D = 0.05$

Total outcomes:

Mental disorder, which is B. So $T = 0.241$