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Artyom0805 [142]
3 years ago
14

Sophia is selling quarts of tomatoes at a road-side stand. The graph shows the amount Sophia earns by selling a certain number o

f quarts of tomatoes.
​
How much will Sophia earn if she sells 20
20
quarts of tomatoes?

Mathematics
2 answers:
Lilit [14]3 years ago
5 0

Answer:

80

Step-by-step explanation:

She gets 16.00 for every 4 quarts she sells

The dollar amount increases by 16.00 after 4 quarts

LiRa [457]3 years ago
4 0

Answer:

$80

Step-by-step explanation:

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope
elena55 [62]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the average life of light bulbs.

As per given , we have

Null hypothesis : H_0 : \mu =5400

Alternative hypothesis : H_a : \mu >5400

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=95,\ \overline{x}=5483\ \&\ \sigma=500, we have

z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180

Using z-value table , Critical one-tailed test value for 0.06 significance level :

z_{0.06}=1.5548

 Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0
3 years ago
Quadrilateral MBPV is similar to quadrilateral GKDF. BP = 78 mm, KD = 30 mm , and FD = 45 mm. What is VP? Enter your answer in t
vlada-n [284]

Answer:

  VP = 117 mm

Step-by-step explanation:

Corresponding sides of similar quadrilaterals are proportional.

  VP/FD = BP/KD

  VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens

  VP = 117 mm

4 0
3 years ago
Ln a+3 + ln a-3 = ln 16
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7 0
3 years ago
Y=3x^2+11x-4 and y=10x-1. solve the system of equations
Mashcka [7]
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3x^2+11x-10x-4+1=0
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7 0
3 years ago
Determine if events A and B are mutually exclusive.
gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

P(A) = \frac{1}{4}

P(B) = \frac{3}{5}

P(A\ or\ B) = \frac{7}{10}

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

P(A\ or\ B) = P(A) + P(B)

So, we have:

P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}

Take LCM

P(A\ or\ B) = \frac{5+12}{20}

P(A\ or\ B) = \frac{17}{20}

By comparing:

P(A\ or\ B) = \frac{17}{20} ---- Calculated

P(A\ or\ B) = \frac{7}{10} ---- Given

We can conclude that A and B are not mutually exclusive because:

\frac{17}{20} \ne \frac{7}{10}

6 0
3 years ago
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