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BaLLatris [955]
2 years ago
6

A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for t

he window to be installed?
Mathematics
1 answer:
ivanzaharov [21]2 years ago
4 0

Answer:  She observed older fossils that contained many of the same minerals as the newer ones

Step-by-step explanation:

You might be interested in
Replace the ? By < or >
Contact [7]

Answer:

>

Step-by-step explanation:

-3 ? \frac{19}{5}

-3 ? -3.8

-3 is greater than -3.8

i.e -3 > -3.8

3 0
3 years ago
A large school district in southern California asked all of its eighth-graders to measure the length of their right foot at the
Ber [7]

Answer:

The probability of the sample mean foot length less than 23 cm is 0.120

Step-by-step explanation:

* Lets explain the information in the problem

- The eighth-graders asked to measure the length of their right foot at

  the beginning of the school year, as part of a science project

- The foot length is approximately Normally distributed, with a mean of

 23.4 cm

∴ μ = 23.4 cm

- The standard deviation of 1.7

∴ σ = 1.7 cm

- 25 eighth-graders from this population are randomly selected

∴ n  = 25

- To find the probability of the sample mean foot length less than 23

∴ The sample mean x = 23, find the standard deviation σx

- The rule to find σx is σx = σ/√n

∵ σ = 1.7 and n = 25

∴ σx = 1.7/√25 = 1.7/5 = 0.34

- Now lets find the z-score using the rule z-score = (x - μ)/σx

∵ x = 23 , μ = 23.4 , σx = 0.34

∴ z-score = (23 - 23.4)/0.34 = -1.17647 ≅ -1.18

- Use the table of the normal distribution to find P(x < 23)

- We will search in the raw of -1.1 and look to the column of 0.08

∴ P(X < 23) = 0.119 ≅ 0.120

* The probability of the sample mean foot length less than 23 cm is 0.120

4 0
3 years ago
What are the ordered pairs of the
9966 [12]

Start by writing the system down, I will use y to represent f(x)

y=x^2-5x+3\wedge y=-3

Substitute the fact that y=-3 into the first equation to get,

-3=x^2-5x+3

Simplify into a quadratic form (ax^2+bx+c=0),

x^2-5x+6=0

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

x^2+x(m+n)+mn=0

which then must factor into

(x+m)(x+n)=0

And the solutions will be m,n.

Clearly for small coefficients like ours 5,6, this is very easy to figure out. To get 5 and 6 we simply say that m=3, n=2.

This fits the definition as 5=3+2 and 6=2\cdot3.

So as mentioned, solutions will equal to m=3, n=2 but these are just x-values in the solution pairs of a form (x,y).

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are (2,0) and (3,0).

Hope this helps :)

5 0
2 years ago
How to convert 0.315151515 into a fraction?
Dafna11 [192]

It would be 315151515/1000000000

count the digits after decimal, divide that by the power of tenth of that

5 0
3 years ago
Pls HELP AND EXPLAIN BRAINLIEST AND 15 POINTS
zhuklara [117]
The first one is 7.4 . 39/5=7 and 4 change so 7.4 . The second one is 1.67 . 5/3 is 1.6 repeated and rounded to the nearest houndredth is 1.67
7 0
2 years ago
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