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3 years ago

To make one pack of cookies you need 34 cup of butter. How much butter is needed to make 4 1 / 2 pack of cookies?

Mathematics

1 answer:

stellarik [79]3 years ago

5 0

Answer:

153 cups of butter

Step-by-step explanation:

1 pack=34 cups

1 pack(4.5 packs)=34 cups(4.5)

4.5 packs=153 cups of butter

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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

Finger [1]

The probability is 0.1458.

The probability is given by:

$_{20}C_2(0.04)^2(1-0.04)^{20-2}
\\
\\=_{20}C_2(0.04)^2(0.96)^{18}=0.1458$

5 0

3 years ago

Suppose m = 2 + 6i, and | m + n | = 3√10, where n is a complex number.

Ksju [112]

Answer: a) √50

b) n = 1 + 7i

Step-by-step explanation:

first, the modulus of a complex number z = a + bi is

IzI = √(a^2 + b^2)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nI = 3√10

Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10

= √(a^2 + b^2 + 40) = 3√10

a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90

a^2 + b^2 = 90 - 40 = 50

√(a^2 + b^2 ) = InI = √50

The modulus of n must be equal to the square root of 50.

now we can find any values a and b such a^2 + b^2 = 50.

for example, a = 1 and b = 7

1^2 + 7^2 = 1 + 49 = 50

Then a possible value for n is:

n = 1 + 7i

6 0

3 years ago

The table shows values for functions f(x)and g(x)

sweet-ann [11.9K]

Answer:

x= -1 and x =0

Step-by-step explanation:

all work is shown and pictured

6 0

3 years ago

Read 2 more answers

A customer desires to mix her own concrete. The clerk knows that the ratio of cement to sand to gravel is 1:3:4. If the customer

Aleks [24]

Answer:

The quantity of cement use is 125 pounds

The quantity of sand use is 375 pounds

The quantity of gravel use is 500 pounds

Step-by-step explanation:

Given as :

The ratio of cement to sand to gravel = 1 : 3 : 4

The total quantity of dry mix required = 1000 pounds

Let The quantity of cement required = 1 × x pounds

The quantity of sand required = 3 × x pounds

The quantity of gravel required = 4 × x pounds

So, According to question

The total quantity of dry mix required = The quantity of cement required + The quantity of sand required + The quantity of gravel required

Or, x + 3 x + 4 x = 1000 pounds

Or, 8 x = 1000 pounds

∴ x = $\frac{1000}{8}$

I.e x = 125

So , The quantity of cement required = 1 × 125 pounds = 125 pounds

The quantity of sand required = 3 × 125 pounds = 375 pounds

The quantity of gravel required = 4 × 125 pounds = 500 pounds

Hence The quantity of cement use is 125 pounds

The quantity of sand use is 375 pounds

The quantity of gravel use is 500 pounds

Answer

8 0

3 years ago

Slope -3/7 and goes thru (9,-11)

goblinko [34]

The equation of line is ,

$\begin{gathered} (y-(-11))=\frac{-3}{7}(x-9) \\ y+11=\frac{-3}{7}x+\frac{27}{7} \\ y=\frac{-3}{7}x+\frac{27}{7}-11 \\ y=\frac{-3}{7}x-\frac{50}{7} \end{gathered}$

3 0

1 year ago