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3 years ago

Cathy uses 3/4 teaspoon of vanilla in a batch of cookies. How many teaspoons are needed for 8 batches of cookies

Mathematics

1 answer:

34kurt3 years ago

8 0

6 teaspoons
3/4 * 8 is 24/4
24/4= 6
So you need 6 teaspoons

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Find the missing length of the triangle

lana [24]

Answer:

Step-by-step explanation:

the formula for this is:

A^2 + B^2 = C^2

if you substitute them:

12^2 + 35^2 =C^2 -> 144+ 1225= 1369

and the square root of 1369 is 37

hope this helps!!!

4 0

3 years ago

Find the solutions <br> x^2=16x-28

ioda

Minus 16x both sides and add 28 to both sides
x^2-16x+28=0
factor
hmm, what 2 numbers multiply to 28 and add to -16
hmm
1 and 28? nope
2 and 14? yep
since middle term is negative and last tem is positive, both of the factors are negative

(x-14)(x-2)=0
set each to zero
x-14=0
x=14

x-2=0
x=2

x=2 and 14

7 0

3 years ago

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o

ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that 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.

53% reported that they entered a profession closely related to their college major.

This means that $p = 0.53$

9 of those survey subjects are randomly selected

This means that $n = 9$

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

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

$P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348$

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0

3 years ago

What is the coefficient of the term 6/7xy (a fraction) ?

Marta_Voda [28]

Answer:

6/7

Step-by-step explanation:

The coefficient is <u>the number right in front of the variable</u>, so in this problem, the coefficient is 6/7.

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3 years ago

Find the vertex of the function given below. y = x2 - 4x + 1

DedPeter [7]

The vertex is (2, -3).
Use the formula x= -b/2a to find the x value., which is 2.Then, substitute it into the function, wherever you see an x. Follow order operations and you get y, which is -3.

5 0

4 years ago

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