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3 years ago

Round 111.11111 to the nearest ten thousandth. 111.11 111.111 111.1111 111.11111

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

4 0

Answer: C) 111.1111

<u>Step-by-step explanation:</u>

here are the place values to the right of the decimal.

decimal → tenths → hundredths → thousandths → ten thousandths

. 1 2 3 4

Round the number to 4 digits to the right of the decimal point.

rosijanka [135]3 years ago

3 0

Answer: C) 111.1111

Step-by-step explanation:

here are the place values to the right of the decimal.

decimal → tenths → hundredths → thousandths → ten thousandths

. 1 2 3 4

Round the number to 4 digits to the right of the decimal point.

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A recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart. If 1 cup of hazelnuts weighs 4 ounces, w

DerKrebs [107]

Answer:

The amount is sufficient to make 75 tarts.

Step-by-step explanation:

We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.

The half cup of hazelnuts will weigh 2 ounces $(\frac{4}{2}=2)$ .

1 kg equals 35.274 ounces.

$\text{5 kg}=5\times 35.274\text{ ounces}$

$\text{5 kg}=176.37\text{ ounces}$

Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.

$\frac{176.37}{2}=88.185\approx 88$

Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.

7 0

3 years ago

9. Factorize: 6x2 - 19x + 14.

Stella [2.4K]

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

4 0

3 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

2470.28277045 To 3 decimal places

jeka57 [31]

To run the these figures to 3 decimal places

you need to count from the digit after the decimal point until you reach the 3rd number which is 2

so now the answer is 2470.283

This is because the decimal point lies between 2 and 7 and since 7 is great than 5 we add 1 to the 2 making it 3

3 0

3 years ago

Read 2 more answers

In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal c

Vlad1618 [11]

The correct answer is B. 72 because you can multiply 3*6*4 to represent every combination possible.

5 0

3 years ago