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3 years ago

A recipe for chocolate muffins calls for 1/4 cup of oil. You are making 1/2 of the recipe. How much oil should you use?

Mathematics

2 answers:

iogann1982 [59]3 years ago

6 0

Half a recipe means half the oil.

Answer: $\dfrac 1 8 \textrm{ cup of oil}$

Romashka [77]3 years ago

4 0

The answer is 1/8th.

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Due to inflation, a fixed quantity of money can buy 3% less every year. If Pam has enough in her wallet to buy 47 movie tickets

Nitella [24]

3% x 10 years is 30%. 47 - 30% is 14.1 or 14

7 0

2 years ago

Choice 1: Angela and Kellie went to lunch. Their bill before tax was $20.00. Tax is 8%. How much tax should

Zolol [24]

Answer:

$1.60

Step-by-step explanation:

Amount of tax paid = percentage of tax to be paid x bill before tax

0.08 x $20 = $1.60

4 0

3 years ago

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

$P(X$

Take natural log on both sides.

$ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30$

Thus, the value of x is 30.

7 0

3 years ago

Can someone help me on 64 67 68 and if you do you will get a lot of points

andre [41]

Answer: #64, A. #67, A. #68, C

Step-by-step explanation:

#64

0.96/6= 0.16

2.4/16= 0.15

32= 0.18

16 oz is the least

#67

100/20=5

3*5=15

SO, it's 15%.

#68

Divide

$430/43= $10

$594/54= $11

Andrew= $8

So, Darren makes the most.

8 0

3 years ago

4/5x = 3<br> please solve for x

san4es73 [151]

Answer:

x=15/4 or x=3.75

Step-by-step explanation:

4/5*x=3

4/5=0.8

0.8*3.75=3

3 0

3 years ago