I need help on this qustion

A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed. How many teaspoons are needed for 5 cup

Andrews [41]

To solve this problem, we are going to need to set up a proportion. Let's let x represent what we are trying to find, the number of teaspoons of vanilla needed for the cookie recipe when 5 cups of flour are used.

3 cups flour/1.5 tsp vanilla = 5 cups flour/x tsp vanilla

The easiest way to simplify a proportion like this is to cross multiply. This means taking the numerator of one fraction and multiplying it by the denominator of the other fraction and setting it equal to the product of the other numerator and denominator. This is modeled below:

3 * x = 5 * 1.5

The first thing we should do to simplify is multiply our values on both sides of the equation.

3x = 7.5

Next, we should divide both sides of the equation by 3 to get the variable x (what we are trying to figure out) by itself.

x = 2.5

This means that for 5 cups of flour, 2 1/2 teaspoons of vanilla are needed.

Hope this helps!

6 0

3 years ago

Which is the graph of x is greater than or equal to 2

qaws [65]

The last one if we shade the unwanted part

8 0

3 years ago

Benny is trying to learn how to ride a bike, but is terrified of falling. He did some research, and discovered that if he rides

Anestetic [448]

Answer:

a) 7.14% probability that Benny was learning to ride a bike using the training wheels

b) 28% probability that Benny was learning to ride a bike using the training wheels

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.

a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?

So

Event A: Benny fell

Event B: Benny was using training wheels.

The probability that Benny was using each of these 3 methods is equal

This means that $P(B) = \frac{1}{3}$

He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;

This means that $P(A|B) = 0.1$

Probability of falling:

1/3 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.

1/3 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5

1/3 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then

$P(A) = \frac{0.1 + 0.5 + 0.8}{3} = 0.4667$

So

$P(B|A) = \frac{\frac{1}{3}*0.1}{0.4667} = 0.0714$

7.14% probability that Benny was learning to ride a bike using the training wheels

b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?

Similar as above, just some probabilities change.

Event A: Benny fell

Event B: Benny was using training wheels.

The probability that he was using training wheels is 0.7

This means that $P(B) = 0.7$

He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;

This means that $P(A|B) = 0.1$

Probability of falling:

0.7 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.

0.2 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5

0.1 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then

$P(A) = 0.7*0.1 + 0.2*0.5 + 0.1*0.8 = 0.25$

So

$P(B|A) = \frac{0.7*0.1}{0.25} = 0.28$

28% probability that Benny was learning to ride a bike using the training wheels

7 0

4 years ago

10 POINTS!!! PLease help !!!!!

NemiM [27]

It’s only 5 points but I’ll answer the first one he makes 10$ an hour so if they want you to Wright it in a equation it’s would be y=10x+0

3 0

3 years ago

If line segment ab=7cm draw a perpendicular at a point c on line ab such the ac=3.5cm

Reil [10]

See attachment for the drawing of the perpendicular at a point c on line ab such the ac = 3.5 cm

<h3>How to draw the perpendicular at a point c on line ab such the ac = 3.5 cm?</h3>

The given parameters are:

Length of segment AB = 7 cm

Also, we have:

Point C is located on line segment AB

This means that:

Length of segment AC = Length of segment BC = 3.5 cm

When represented on a line segment, we have:

A C B

See attachment for the drawing of the perpendicular at a point c on line ab such the ac = 3.5 cm

Read more about perpendicular line at:

brainly.com/question/1865107

#SPJ1

6 0

2 years ago