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professor190 [17]
3 years ago
10

What is the length of the hypotenuse of the triangle? triangle A B C. Side A C is 7 centimeters and side B C is 3 centimeters. H

ypotenuse A B is unknown.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer: √58 cm or 7.62 cm

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since we are given the lengths of a and b, we can plug them into this formula to find the length of the hypotenuse.

7²+3²=c²

49+9=c²

58=c²

c=√58 or 7.62 cm

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A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collecte
allsm [11]

Answer:

The degrees of freedom are given by;

df =n-1= 5-1=4

The significance level is 0.1 so then the critical value would be given by:

F_{cric}= 7.779

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

E_i = \frac{100}{5}= 20

The statsitic would be given by:

\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

df =n-1= 5-1=4

The significance level is 0.1 so then the critical value would be given by:

F_{cric}= 7.779

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

5 0
3 years ago
16 2/3% of what number is 90?
zysi [14]

Answer:

540

Step-by-step explanation:

90 is 16 2/3% of 540

7 0
3 years ago
Help please I feel stupid
deff fn [24]

Answer:

44

Step-by-step explanation:

h(-7) means use the expression labeled h and evaluate it for x=-7.

Like this:

(-7)^2 - 5

49 - 5

44

3 0
3 years ago
Will give brainliest!!
swat32

Answer:

its 5 hours i think

Step-by-step explanation:

3 0
3 years ago
Consider the equation below.
Korvikt [17]

Answer:

Equation in square form:

y=3(x+5)^2-4

Extreme value:

(h,k)=(-5,-4)

Step-by-step explanation:

We are given

y=3x^2+30x+71

we can complete square

y=3(x^2+10x)+71

we can use formula

a^2+2ab+b^2=(a+b)^2

y=3(x^2+2\times x\times 5)+71

now, we can add and subtract 5^2

y=3(x^2+2\times x\times 5+5^2-5^2)+71

y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71

y=3(x+5)^2-75+71

So, we get equation as

y=3(x+5)^2-4

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

y=a(x-h)^2+k

where

vertex=(h,k)

now, we can compare and find h and k

y=3(x+5)^2-4

we get

h=-5

k=-4

so, extreme value of this equation is

(h,k)=(-5,-4)

6 0
4 years ago
Read 2 more answers
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