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2 years ago

what is a decimal that is equivalent to the expression (3 x 100) + (7 x 10) + (4x1) + (6 x 0.01) + (2 x 0.001)?

Mathematics

1 answer:

-BARSIC- [3]2 years ago

5 0

Answer:

374.062

Step-by-step explanation:

multiply all those and put them in the correct place.

do it just as i did my answer

3 goes first 7 goes next to 3 4 goes next to 7 add the decimal point then

put 0 since there are no tenths then put 6 then next to 6 put 2

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The weight of a USB flash drive is 30 grams and is normally distributed. Periodically, quality control inspectors at Dallas Flas

vazorg [7]

Answer:

The critical t values are -1.746 and 1.746.

Step-by-step explanation:

Given information:

The weight of a USB flash drive is 30 grams and is normally distributed.

Population mean = 30

Sample size = 17

Sample mean= 31.9

Standard deviation = 1.8

Significance level, α=0.10

Null hypothesis: $H_0:\mu=30$

Alternative hypothesis: $H_1:\mu\neq 30$

It is a two tailed test.

The t-critical values for a two-tailed test, for a significance level of α=0.1 are -1.746 and 1.746.

Therefore the critical t values are -1.746 and 1.746.

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2 years ago

If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-four Percent of People o

IgorC [24]

Answer:

The 98% confidence interval would be given by (0.326;0.354)

Step-by-step explanation:

1) Notation and definitions

$X=63$ number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

$n=6138$ random sample taken

$\hat p=0.34$ estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

$p$ true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Confidence interval

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by $\alpha=1-0.98=0.02$ and $\alpha/2 =0.01$ . And the critical value would be given by:

$z_{\alpha/2}=-2.33, z_{1-\alpha/2}=2.33$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.34 - 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.326$

$0.34 + 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.354$

The 98% confidence interval would be given by (0.326;0.354)

8 0

2 years ago

Which expression is equivalent to RootIndex 3 StartRoot 64 a Superscript 6 Baseline b Superscript 7 Baseline c Superscript 9 Bas

disa [49]

Answer:

Which expression is equivalent to RootIndex 3 StartRoot 64 a Superscript 6 Baseline b Superscript 7 Baseline c Superscript 9 Baseline EndRoot?

2 a b c squared (RootIndex 3 StartRoot 4 a squared b cubed c EndRoot)

4 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)

8 a cubed b cubed c Superscript 4 Baseline (RootIndex 3 StartRoot b c EndRoot)

8 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)

6 0

2 years ago

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Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak

Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

$\dfrac{1850}{400.73}=4.61657$

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

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2 years ago

A soccer coach is marking the lines for soccer field on a large recreation field. The dimensions of the field are to be 90 yards

mina [271]

Hello,

Diagonals of a rectangle must have the same measure.
You don't need to know the dimension of the diagonal but only if they are equals.

(√(90²+48²)=102 (yd))

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2 years ago

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