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emmasim [6.3K]
3 years ago
9

place the decimal point in the answer to make correct. explain your reasoning. 3.9853 × 8.033856= ??????

Mathematics
1 answer:
tatiyna3 years ago
7 0
It is 32.0173263 because you add spaces to the decimal point and of course you don't put the zeros in
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What is the solution to -6(3a+4)=3a-3
stich3 [128]

Answer:

a = -1

Step-by-step explanation:

-6(3a+4) = 3a-3

-18a-24 = 3a-3

-24+3 = 3a+18a

21a = -21

a = -21 ÷ 21

a = -1

6 0
2 years ago
shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her se
ki77a [65]

Answer:

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Step-by-step explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees

5 0
3 years ago
Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid
marishachu [46]

Answer:

Density = 1.094g/cm^3

Step-by-step explanation:

Given

Length = 17.7cm

Width = 8.3cm

Height = 13.0cm

Mass = 2090g

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 17.7cm * 8.3cm * 13.0cm

Volume = 1909.83cm^3

The density is:

Density = \frac{Mass}{Volume}

Density = \frac{2090g}{1909.83cm^3}

Density = 1.094g/cm^3<em> --- approximated</em>

5 0
2 years ago
The bill for the repair of a computer was $179. The cost of part was $44, and labor charge was $45 per hour. How many hours did
Cloud [144]
Alright! First you'd subtract the amount of the part ($44) from your total ($179), then you'd divide by the rate of cost ($45). Your equation would be:
($179 - $44) ÷ $45 = h.

Then you solve:
($179 - $44) = $135
($135 ÷ $45) = 3
h = 3.

The answer is 3 hours.
4 0
3 years ago
The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha
Charra [1.4K]

Answer:

a)P(X>66)=P(Z>1)=1-P(Z

b)P(\bar X >66)=P(Z>2)=1-P(Z

c) P(\bar X >66)=P(Z>10)=1-P(Z

Step-by-step explanation:

1) Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(64,2)  

Where \mu=64 and \sigma=2

We are interested on this probability

P(X>66)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-\mu}{\sigma})=P(Z>\frac{66-64}{2})=P(Z>1)

And we can find this probability on this way:

P(Z>1)=1-P(Z

3) Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{4}}}=2)

And using a calculator, excel or the normal standard table we have that:

P(Z>2)=1-P(Z

4) Part c

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{100}}}=10)

And using a calculator, excel or the normal standard table we have that:

P(Z>10)=1-P(Z

3 0
3 years ago
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