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3 years ago

A recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?

Mathematics

2 answers:

Marta_Voda [28]3 years ago

7 0

Answer:

1 fl oz is greater.

Step-by-step explanation:

Given scenario is: a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla.

The relation between 1 teaspoon and fluid ounce is :

1 fl oz has 6 teaspoons.

And here its given 4 tsp. We will convert 4 tsp in fl oz.

6 tsp = 1 fl oz

4 tsp = $\frac{4}{6} =0.66$ fl oz.

Now we can clearly see that, 1 fl oz is greater than 0.66 fl oz, or 4 tsp.

Hence, 1 fl oz is greater in measurement.

Minchanka [31]3 years ago

6 0

One fluid ounce is greater because 1 fluid ounces equals tus tablespoons so to fluid ounces would equal 4 so meaning that 4 tablespoons is greater.

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A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 4

pshichka [43]

Answer:

a) 0.0025 = 0.25% probability that none of the appeals will be successful.

b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.

c) 0.9768 = 97.68% probability that at least two of the appeals will be successful

Step-by-step explanation:

For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

45% of first-round appeals were successful.

This means that $p = 0.45$

Suppose 10 first-round appeals have just been received by a Medicare appeals office.

This means that $n = 10$

(a) Compute the probability that none of the appeals will be successful.

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.45)^{0}.(0.55)^{10} = 0.0025$

0.0025 = 0.25% probability that none of the appeals will be successful.

(b) Compute the probability that exactly one of the appeals will be successful.

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{10,1}.(0.45)^{1}.(0.55)^{9} = 0.0207$

0.0207 = 2.07% probability that exactly one of the appeals will be successful.

(c) What is the probability that at least two of the appeals will be successful

This is $P(X \geq 2)$

Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0025 + 0.0207 = 0.0232$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0232 = 0.9768$

0.9768 = 97.68% probability that at least two of the appeals will be successful

6 0

3 years ago

For the equation: 3x+1=2x+7 what are the 1 st and 2 nd opposite operations?

qaws [65]

Answer:

Step-by-step explanation:

3x +1 = 2x +7 subtract 1 from both sides ( first)

3x +1 -1 = 2x + 7 -1

3x = 2x + 6 subtract 2x brom both sides (second)

3x -2x = 2x -2x +6

5x = 6

4 0

3 years ago

A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is 60 miles.

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = u mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$