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Mice21 [21]
3 years ago
5

There is concern that increased industrialization may be increasing the mineral content of river water. Ten years ago, the silic

on content of the water in a certain river was 5 mg/L. Eighty-five water samples taken recently from the river have mean silicon content 5.4 mg/L and standard deviation 1.2 mg/L. a. Find the P-value. b. Do you believe it is plausible that the silicon content of the water is no greater than it was 10 years ago
Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

a) P value = 0.0013

b) No, it is not plausible that the silicon content of the water is no greater than it was 10 years ago

Step-by-step explanation:

The null hypothesis here is “Mean is equal to 5” while alternate hypothesis is that “Mean is greater than 5”

Given  

Mean = 5, x’ = 5.4 and sigma = 1.2 and n = 85

Z = x-u’/sigma/sqrt n

Substituting the given values, we get –  

Z = 3.02

A) P value = 0.0013 which is less than 0.05 and thus we will reject the null hypothesis

B) There is enough evidence to reject the null hypothesis  

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2. If you pay a one-time fee of $30, you can
VikaD [51]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

One time fee = $30

Reduced price of ticket after one time fee payment = $17

Regular ticket cost = $25

Write an inequality that can be used to determine the number of reduced price concert tickets you would need to purchase in order for the total cost to be less expensive than the same number of regular tickets

Let the number of tickets needed to purchase = t

Reduced ticket = 30 + 17t

Regular ticket = 25t

30 + 17t < 25t

30 < 25t - 17t

30 < 8t

30/8 < 8t/8

3.75 < t

t > 3.75

Hence number of ticket must be greater than 3.75

t = 4

5 0
3 years ago
Given: KLMN is a rectangle m∠NKM = 58° MP −∠ bisector of ∠KML Find: m∠KPM
PilotLPTM [1.2K]
According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.

8 0
3 years ago
China's population is 14.46×10814.46×108 . Marshall Islands' population is 602.5×102602.5×102 .
djverab [1.8K]
I think the answer is 2.4 x 10^3
Hope this helped.
;)
8 0
2 years ago
What is the 9th term of the geometric sequence 4, −20, 100, …?
sveta [45]
First, we are going to find the common ratio of our geometric sequence using the formula: r= \frac{a_{n}}{a_{n-1}}. For our sequence, we can infer that a_{n}=-20 and a_{n-1}=4. So lets replace those values in our formula:
r= \frac{-20}{4}
r=-5

Now that we have the common ratio, lets find the  explicit formula of our sequence. To do that we are going to use the formula: a_{n}=a_{1}*r^{n-1}. We know that a_{1}=4; we also know for our previous calculation that r=-5. So lets replace those values in our formula:
a_{n}=4*(-5)^{n-1}

Finally, to find the 9th therm in our sequence, we just need to replace n with 9 in our explicit formula:
a_{9}=4*(-5)^{9-1}
a_{9}=4*(-5)^{8}
a_{9}=1562500

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
4 0
2 years ago
I don’t know if this is correct !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!! PLEASE HELP !!!!!!!!!!!!!!!
klasskru [66]

Answer:

the first part is correct but the second should be "alternate interior angles"

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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