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Vlada [557]
3 years ago
12

g A coffee-dispensing machine is supposed to deliver eight ounces of liquid into each paper cup, but a consumer believes that th

e actual mean amount is less. The critical value for z for a one-tailed test with the tail in the left end is minus1.645 and the obtained value is minus1.87. The appropriate decision is ________.
Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer: Reject the eight- ounces claim.

Step-by-step explanation:

For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.

It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.

As per given ,

Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.

Then ,

H_0: \mu=8\\\\H_a: \mu , since alternative hypothesis is left-tailed thus the test is an left-tailed test.

the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.

Clearly , -1.87 < -1.645

⇒ -1.87 falls under rejection region.

⇒  Decision : Reject null hypothesis.

i.e. we reject the eight- ounces claim.

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Factorise (x-y)^2-(x-y)^3=?
bogdanovich [222]

Answer:

\left(x-y\right)^2\left(1-x+y\right)

Step-by-step explanation:

You factor out the common term first.

You should get the equation below.

\left(x-y\right)^2\left(1-\left(x-y\right)\right)

then you get rid of the negative inside\left(1-\left(x-y\right)\right)

and will be simplified to this.

\left(x-y\right)^2\left(1-x+y\right)

4 0
2 years ago
Could someone help me for this?
lina2011 [118]

Answer:

x = - \frac{5}{3} , x = \frac{5}{2}

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \frac{5}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3 0
1 year ago
Help me with this please
Rom4ik [11]

Answer:

c

Step-by-step explanation:

i just used a calculator lol

7 0
3 years ago
Find the slope point-slope equation of a line that gas a slope of -2 and passes through the point
Vsevolod [243]

There are no given coordinates, so it's impossible to answer your question. I'm sorry.

6 0
3 years ago
50 points! Someone actually help instead of putting random answers! Random answers will be reported
In-s [12.5K]

<em>If</em><em> </em><em>you</em><em> </em><em>only</em><em> </em><em>want</em><em> </em><em>to</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>way</em><em> </em><em>i do</em><em> </em><em>it</em><em> </em><em>to</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>without</em><em> </em><em>seeing</em><em> </em><em>my</em><em> </em><em>explanation</em><em> </em><em>ignore</em><em> </em><em>sentences</em><em> </em><em>with</em><em> </em><em>symbol</em><em> </em><em>'</em><em>#</em><em>'</em>

<h2>Answer</h2>

•Pic on the left

x = 8.36

y = 140.18°

• Pic on the right

x = 110°

<h2>Way to do</h2>

• This one for the pic on the left

#Since the total degree of a triangle is 180° and one of the side known 90° (L) so the rest must be 90° (180° - 90° = 90°)

#known that the other side of triangle degree is (5x - 2)° and 6x° so... u can find the x! :D

90 = (5x - 2) + 6x

90 = 11x - 2

90 + 2 = 11x

92 = 11x

x = 92 : 11

x = 8.36 (2 decimal places)

#Now you know the x, you can now find the degree

#degree of (5x - 2)

5x - 2 =

5(8.36) - 2 =

41.81 - 2 = 39.81

#Since the y° is in the other side of the line of degre 39.81°, you can find it by minus it with 180° (straight line with no degree is 180°)

180° - 39.81° = 140.18

•This one for the pic on the right

#Lol this one is easy. I already told you before that the straight line degree is 180° and you can find one of the side if you know one of the degree side, so you can find it.

# Also as i said before, total triangle degree is 360°

#Find the degree of the other side of x° (only can find the degree of other side x because its inside the triangle)

Degree = 180° - 80° - 30° = 70°

#Now you can get x

x = 180° - 70° = 110°

<h2>For moderators that see this</h2>

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(

7 0
2 years ago
Read 2 more answers
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