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Elza [17]
4 years ago
7

A container weighs 78.1 kg when it is filled with some cement. The same container weighs 25.5 kg when it is filled with some san

d. The mass of the cement is 5 times as heavy as the mass of the sand. Find the mass of the container​
Mathematics
1 answer:
Nimfa-mama [501]4 years ago
5 0

Container + cement = 78.1

Container + sand = 25.5

Difference( cement - sand) = 78.1 -25.5 = 52.6

4 x Sand = 52.6

Sand = 52.6/4 = 13.15

Container = 25.5 - 13.15 = 12.35 kg

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5/6 x 2 3/4 = 5/6 x (2x4+3)/4 = 5/6 x 11/4 = 55/24 = 2 7/24
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Rewrite 26/4 as a mixed number in simplest form.
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4 goes into 26 6 times with a remainder of 2.

26 ÷ 4 = 6 2/4

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4 years ago
. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this c
Taya2010 [7]

Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Step-by-step explanation:

given that;

n = 14

mean Ж = 19,850

standard deviation S = 1,084

degree of freedom df = n - 1 = ( 14 -1 ) = 13

H₀ : ц ≥ 20,500

H₁ : ц < 20,500

Now the test statistics

t = (Ж - ц) / ( s/√n)

t = ( 19850 - 20500) / ( 1084/√14)

t = -2.244

we know that our degree of freedom df = 13

from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215

so P = 0.0215

significance ∝ = 0.05

we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )

There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

6 0
3 years ago
HELP ASAP!!!!!!<br> Ken and Betty each write a proof of the statement: if m
shepuryov [24]

The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have Ken's statements are shown in the table:

Angle AOC = Angle BOD (given)

Angle AOB + Angle BOC = Angle BOC + Angle COD   (angle addition postulate)

Angle AOB = ANgle COD (subtraction property of equality)

Ken wrote direct proof using deductive evidence.

As we can in betty's proof:

Betty wrote an indirect proof using contradiction.

Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

3 0
2 years ago
HELP ASAP I HATE MATH
Arte-miy333 [17]

Answer:

step attached

Step-by-step explanation:

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3 years ago
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