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ahrayia [7]
4 years ago
11

The base of a ladder is placed 5 feet from a wall. If the top of the ladder rests 9 feet up on the wall, how long is the ladder?

(rounded to the nearest tenth)
11.8 ft

14 ft

9.8 ft

10.3 ft
Mathematics
1 answer:
Sladkaya [172]4 years ago
5 0

5^2 + 9^2 = X^2

25 +81 = x^2

106 = x^2

X = sqrt(106)

x = 10.29

 Ladder is 10.3 feet long

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It
Pachacha [2.7K]

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

H_0:\mu = 419 --- works correctly at 419g

Alternate Hypothesis

H_0:\mu < 419 --- under fills the bag

n =15 --- the sample

\bar x = 409 --- the mean

\sigma = 22 --- the standard deviation

\alpha = 0.05 --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

t = \frac{\bar x - \mu}{\sigma/\sqrt n}

t = \frac{409 - 419}{22/\sqrt{15}}

t = \frac{-10}{22/ 3.87}

t = \frac{-10}{5.58}

t = -1.792

Calculate df

df = n-1

df = 15-1

df = 14

Calculate the p value from the Student's t-distribution  at df = 14 and t = -1.792

p =0.047  

Given that: \alpha = 0.05

Since p < \alpha

So, it means that the machine is under filling the bags

6 0
3 years ago
Rewrite each expression without using absolute value notation.<br><br> |x-y| if x&gt;y
anyanavicka [17]

The absolute expression |x - y| is rewritten in the form of without using absolute value notation will be x - y.

<h3>What is an absolute function?</h3>

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

If the value inside the mode operator is greater than zero, then simply the mode operator is eliminated.

The notation of the absolute function is given below.

|x - y| If x>y

Then the absolute function is given as,

|x - y| = x - y

The absolute expression |x - y| is rewritten in the form of without using absolute value notation will be x - y.

More about the absolute function link is given below.

brainly.com/question/10664936

#SPJ1

4 0
1 year ago
What is 5/3 simplified sorry my brain is not working
grin007 [14]
5/3 is as simplified as it gets :)
8 0
3 years ago
Read 2 more answers
6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t
Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

1.x+0.y=0\\x=0

and

0.x+1.y=0\\y=0

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b) Linear independent solution in this system gives some set of solutions

1.x+0.y=0\\\x=0

and

0.x+1.y=0\\y=0

Vector form is

\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0
3 years ago
CO 5<br> What is the value of tan(60°)?<br> A<br> O<br> 12<br> 30°<br> 3<br> B<br> 60°<br> 6
lukranit [14]

Answer:

<em>√3</em>

Step-by-step explanation:

5 0
3 years ago
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