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Rainbow [258]
3 years ago
9

A recipe used 1/5 cup of sugar for every 2 tablespoons of flour. How many tablespoons of flour are used with 1 cup of sugar?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Answer:

10

Step-by-step explanation:

1/5 goes into 1, 5 times so multiply 5 by 2 (the table spoons of flour) and boom your answer

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Find the equation of the line that is perpendicular to 3y-x=7 and passes through the point (2,-1
boyakko [2]
Hello
<span>an equation for the line in​ point-slope form and general form is :
y = ax+b   a : </span>slope  ; the <span>Passing through (x' ; y')
</span>y' = ax'+b 
y-y' =a(x-x')      and : x' =2   y' = - 1
calculate a :
let :  y = ax+b .....(D)
   ....<span>3y-x=7</span>....(D') or  y = (1/3)x+7/3
.(D) perpendicular to(D') : slope (D) × slope (D') = -1 

 slope (D') = 1/3
slop(D)×(1/3) = -1
slope (D) = -3
equation for the line    :   y-y' =a(x-x') 
y+1 =(-3) (x-2)
7 0
3 years ago
Isabell is thinking of a even number between 234 and 250 the sum of the digits is double the digit in the ones place what is Isa
Lelu [443]

Answer:

246.

Step-by-step explanation:

Let the number be 2xy, then

2 + x + y = 2y    and y must be even because the whole number is even.

y = 2 + x .

Now x must be even because y is even.

The only 2 numbers which fit are x = 4 and y = 6 so the number is 246.

Checking: 2+4+6 = 12 and 12 = 2*6.

5 0
3 years ago
F(x)=x^2+4x and g(x)= 2x+2, find f(5)+ g(6)
Lubov Fominskaja [6]
F(5) = 5² +4*5=25+20 = 45
g(6) = 2*6 +2 =12+2=14

f(5) + g(6)
= 45 +14 =59
3 0
3 years ago
What is 5p to the -7 power/20p to the 2 power simplified
mr_godi [17]

Answer:

p^(-9) or 1/p^9

Step-by-step explanation:

Here we have:

  (5p)^(-7)

----------------

   (20p)^2

Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.

then we have:

            1                             1               1

(1/4) -------------  = (1/4) -------------- = ------------

       p^7*p^2               p^(7 + 2)         p^9

8 0
3 years ago
Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but inc
nordsb [41]

Answer:

a) X is binomial with n = 10 and p = 0.3

Y is binomial with n = 10 and p = 0.7

b) The mean number of errors caught is 7.

The mean number of errors missed is 3.

c) The standard deviation of the number of errors caught is 1.4491.

The standard deviation of the number of errors missed is 1.4491.

Step-by-step explanation:

For each typing error, there are only two possible outcomes. Either it is caught, or it is not. The probability of a typing error being caught is independent of other errors. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

10 word errors.

This means that n = 10

(a) If X is the number of word errors missed, what is the distribution of X ?

Human proofreaders catch 70 % of word errors. This means that they miss 30% of errors.

So for X, p = 0.3.

The answer is:

X is binomial with n = 10 and p = 0.3.

If Y is the number of word errors caught, what is the distribution of Y ?

Human proofreaders catch 70 % of word errors.

So for Y, p = 0.7.

The answer is:

Y is binomial with n = 10 and p = 0.7

(b) What is the mean number of errors caught?

E(Y) = np = 10*0.7 = 7

The mean number of errors caught is 7.

What is the mean number of errors missed?

E(X) = np = 10*0.3 = 3

The mean number of errors missed is 3.

(c) What is the standard deviation of the number of errors caught?

\sqrt{V(Y)} = \sqrt{np(1-p)} = \sqrt{10*0.7*0.3} = 1.4491

The standard deviation of the number of errors caught is 1.4491.

What is the standard deviation of the number of errors missed?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.3*0.7} = 1.4491

The standard deviation of the number of errors missed is 1.4491.

6 0
3 years ago
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