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3 years ago

Round 41.805 to the nearest whole number

Mathematics

2 answers:

sasho [114]3 years ago

8 0

The answer to your question is
42

aleksandr82 [10.1K]3 years ago

5 0

The answer to your question is 42. The rule is 5 or more go up 1 . If the number is 4 les stay where it is. hope this help.

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Hello, I'm trying to solve 6x + y = 4, x - 4y = 19. I have found the y but I cant seem to find the x. Plz help and we cant use d

gizmo_the_mogwai [7]

Answer:

$x=\frac{7}{5}$

$y=-\frac{22}{5}$

Step-by-step explanation:

Given:

The given expressions are.

$6x+y=4$

$x-4y=19$

We need to find x and y values.

Solution:

Equation 1⇒ $6x+y=4$

Equation 2⇒ $x-4y=19$

First solve the equation 1 for y.

$6x+y=4$

$y = 4-6x$ --------(3)

Substitute $y = 4-6x$ in equation 2.

$x-4(4-6x)=19$

Simplify.

$x-(4\times 4 - 4\times 6x)=19$

$x-(16-24x)=19$

$x-16+24x=19$

Add 16 both side of the equation.

$25x-16+16=19+16$

$25x=35$

$x=\frac{35}{25}$

Divide Numerator and denominator by 5.

$x=\frac{7}{5}$

Substitute x value in equation 3 and simplify.

$y=4-6(\frac{7}{5})$

$y=4-\frac{6\times 7}{5}$

$y=4-\frac{42}{5}$

$y=\frac{5\times 4-42}{5}$

$y=\frac{20-42}{5}$

$y=-\frac{22}{5}$ .

Therefore, the value of $x=\frac{7}{5}$ and $y=-\frac{22}{5}$ .

6 0

3 years ago

\The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sig

chubhunter [2.5K]

Answer:

68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

Step-by-step explanation:

The lengths of a lawn mower part are approximately normally distributed

$\mu = 4$

Standard deviation = $\sigma =0.2$

We are supposed to find What percentage of the parts will have lengths between 3.8 in. and 4.2 in . i.e. P(3.8<x<4.2)

Formula : $Z=\frac{x-\mu}{\sigma}$

At x = 3.8

$Z=\frac{3.8-4}{0.2}$

Z=-1

Refer the z table for p value

p value =0.1587

At x =4.2

$Z=\frac{4.2-4}{0.2}$

Z=1

Refer the z table for p value

p value =0.8413

P(3.8<x<4.2)=P(x<4.2)-P(x<3.8)=0.8413-0.1587=0.6826

So, 68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

3 0

3 years ago

Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 15. Using the empirical rul

professor190 [17]

Answer:

2.5% of IQ scores are no more than 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 95

Standard deviation = 15

Using the empirical rule, what percentage of IQ scores are no more than 65?

65 = 95 - 2*15

So 65 is two standard deviations below the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.

So 2.5% of IQ scores are no more than 65

3 0

3 years ago

Find the terminal point determined by t= 10pi/3.

Nastasia [14]

Note: On the unit circle, P (x, y) = (cos(t), sint(t))
Terminal point of t = 10pi/3 is <span>( -1/2, -sqrt(3)/2)</span>

5 0

3 years ago

Read 2 more answers

Sunshine Rental Car charges a one-time fee of $30.15 per mile the yellow car agency charges a one-time fee of $20.25 per mile th

11111nata11111 [884]

Answer:

105 miles

Step-by-step explanation:

I used a calculator because it was multi choice until they matched up

5 0

3 years ago