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AlladinOne [14]
3 years ago
8

NEED HELP

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0

Answer:

B= 6

Step-by-step explanation:

a^2 + b^2= c^2 hypotenuse formula

Plug in what you have

8^2 + b^2= 10^2

PEMDAS

64 +b^2= 100

combine like terms

b^2=36

divide

b=6

laiz [17]3 years ago
6 0

Answer:

6

Step-by-step explanation:

The Pythagorean theorem states that

8*8+B*B=10*10

64-100=B*B

√36=B

6=B

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 439.0 gram setting.
Vlada [557]
<h2>Answer with explanation:</h2>

Let \mu be the average weight of chocolate chips in each bag.

As per given , we have

H_0: \mu =439.0\\\\ H_a: \mu

Since H_a is left-tailed , so we perform a left-tailed test.

Also, the population standard deviation is known \sigm=21.0.

So we use z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqt{n}}}

Substitute given value ,\overline{x}=433.0\ , n=47,\ \sigma=21 \ , \mu=439

z=\dfrac{433-439}{\dfrac{21}{\sqrt{47}}}\approx-1.96

Significance level = 0.05

Decision rule : Reject H_0 when p-value < 0.05.

By z-table , P- value for left-tailed test  = P(z<-1.96)= 1- P(z<1.96)

[∵ P(Z<-z)=1-P(Z<z)]

= 1- 0.9750

=0.025

Since , P-value(0.025) < 0.05 , so we reject the null hypothesis.

We support the claim that the machine is underfilling the bags at 0.05 significance level .

3 0
3 years ago
You purchase 26 "parking hours" that you can use over the next month to park
Nadusha1986 [10]

Answer:

The number of weekday hours are 5.

Step-by-step explanation:

<em>Let the number of weekday hours be "x".</em>

<em>The total week hours are 26, then number of weekend hours is (26-x) .</em>

<em>The charges for weekdays are $2 per hour and for weekends $10 per hour.</em>

The total money spent is $220.

(2)(x) + (26-x)(10) = 220

8x = 40

x = 5.

Thus weekday hours utilized are 5 hours, and weekend are (26-5) 21 hours.

4 0
3 years ago
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Second one hhhjjdjsjsbsbsbbsbd
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Find the difference: 7 7/8 - 3 1/4=?
guapka [62]
37/8 or 4 5/8

To make it easier, make both numbers into an improper fraction then subtract normally.
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3 years ago
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