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2 years ago

Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of

Mathematics

2 answers:

elixir [45]2 years ago

7 0

Answer:

C, 350

Step-by-step explanation:

So we know that each dark mark on the measuring cup represents 100 mL. Using this information, we can now discover that the lighter marks are 50 mL more than a darker mark. Because the liquid is in between 300 and 400, we can take the average of these numbers to get a final answer of <u>350</u>.

Hope this helps!

nekit [7.7K]2 years ago

3 0

Answer:

500 milliliters or ml

Step-by-step explanation:

First, we find the amount of milk is in the measuring cup which is 350 ml and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.

Hope it helped :)

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The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip

Leya [2.2K]

Answer: See explanation

Step-by-step explanation:

Price of sandwich = $6

Food tax = 5% of $6

= 0.05 × $6

= $0.3

Tip = 20% of $6

= 0.2 × $6

= $1.2

Total cost of meal:

= $6 + $0.3 + $1.2

= $7.5

3 0

2 years ago

Read 2 more answers

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; th

kati45 [8]

Answer:

99.85%

Step-by-step explanation:

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.

Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.

Solution:

The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).

Therefore:

68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years

95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years

99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years

Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%

7 0

1 year ago

Read 2 more answers

A farmer's annual income is represented by the variable x. The farmer will pay 25% of his income for federal taxes and 9% of his

nevsk [136]

Answer:

D) x - 0.34x

Step-by-step explanation:

25% + 9% = 34% = 0.34

Will pay 34% in taxes, means he subtracts from is annual income.

x - 0.34x

8 0

2 years ago

Sybil has 1/2 of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will

Helen [10]

Answer: $\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}$

Step-by-step explanation:

Given: Sybil has 1/2 of a pizza left over.

If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get

The fraction of the original pizza will Sybil and her 3 friends each receive

$=\frac{\frac{1}{2}}{3}=\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}$

6 0

2 years ago

Read 2 more answers

Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i

lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0

2 years ago