All categories

3 years ago

Add 11.25 and 0.03. 3 is repeating.

1 answer:

7 0

Alright, so we can do
11.25
+0.0333333
________
11.28333333333
For 0.03 (3 repeating), we can write that as 1/30. For 0.003 (3 repeating), it's 1/300. Therefore, we have 11.28+0.003=11.28 + 1/300

You might be interested in

PLEASE HELP‼

stellarik [79]

D. 75 cm

Step-by-step explanation:

fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.

sorry if it's a bd explanation, hope this helps :)

4 0

3 years ago

For the standard form of two billion three Hundred fifty thousand four Danielle wrote 2,350,400,000 what error did she make what

Leona [35]

I believe the correct answer is 2,300,500,004

7 0

4 years ago

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is x.

The horizontal change is of 602 ft.

The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

4 0

2 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205

Crank

Answer:

$P(205-0.3=204.7$

$z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$

$z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$

So we can find this probability:

$P(-1.778$

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

$P = 1-0.9243 = 0.0757$

Step-by-step explanation:

Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info

Where $\mu=205$ and $\sigma=1.5$

We can begin finding this probability this probability

$P(205-0.3=204.7$

For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

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

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

$z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And we can find the z scores for each limit and we got:

$z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$

$z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$

So we can find this probability:

$P(-1.778$

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

$P = 1-0.9243 = 0.0757$

6 0

3 years ago

to start to solve the system of equations below, which number would you multiply in the equation -2x-5y=-1? The two equations ar

Leviafan [203]

Answer:

The first equation can be multiplied by 2.

Step-by-step explanation:

The x-coefficients are -2 and 4. If the first one of these is multiplied by 2, it will be the opposite of the second of these. That is 2·(-2) = -4. When -4 and 4 are added, the result is 0, so the x-variable will be eliminated.

To solve these equations by "elimination", you look for simple relationships between the coefficients that will let you combine them to get zero.

_____

Here's the rest of the solution.

2(-2x-5y) +(4x+2y) = 2(-1) +(8) . . . . after multiplying the first equation by 2 and adding the second equation

-4x -10y +4x +2y = -2 +8 . . . . . the result of eliminating parentheses

-8y = 6 . . . . . the result of collecting terms

y = -6/8 = -3/4 . . . . divide by the y-coefficient

Since all of the coefficients in the second equation are even, a factor of 2 can be removed, and the equation written as ...

2x +y = 4

This can be solved for x, so you have ...

x = (4 -y)/2 = 2 -(y/2)

Filling in the above value of y, we find x to be ...

x = 2 -(-3/4)/2

x = 2 3/8

_____

<em>Comment on eliminating y instead of x</em>

If you divide the second equation by 2 so that y has a coefficient of 1, then you can multiply this equation by 5 to give y a coefficient that is the opposite of the coefficient -5 in the first equation. Then the elimination looks like

(-2x -5y) +5(2x +y) = (-1) +5(4)

-2x -5y +10x +5y = -1 +20 . . . . eliminate parentheses

8x = 19 . . . . simplify

x = 19/8 = 2 3/8 . . . . divide by the coefficient of x

5 0

3 years ago