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3 years ago

Write 800+60+4 in standard form

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

864=800+60+4 800 in the hundreds place 60 in the tens place and 4 in the ones place

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Complete the place value chart for the following number.Write its number name and tell the value of the underlined digit.

makkiz [27]

Answer:

two hundredths

Step-by-step explanation:

6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place

5 is in the thousandths place.

7 0

3 years ago

Read 2 more answers

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

den301095 [7]

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

x = 64 / 4

x = 16

He spent 16 minutes on science and 48 minutes on math.

6 0

4 years ago

37% of 293 estimate

earnstyle [38]

Answer:

108.41

Step-by-step explanation:

7 0

3 years ago

Maria invested $450 in a savings account and earned $126 in interest at the end of 7 years.

Brut [27]

The interest rate is B. 4%

Given:
Principal = 450
Interest = 126
term = 7
rate = ?

Simple Interest is computed by multiplying the Principal, rate, and term.

Interest = P × r × t

126 = 450 × r × 7
126 = 3150r
r = 126/3150
r = 0.04 x 100% = 4%

To check:

I = 450 × 0.04 x 7
I = 18 × 7
I = 126

5 0

3 years ago