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pogonyaev
1 month ago
7

A newspaper reports the following changes in the temperature of a city over 4 days: 3.24 degrees Celsius, negative 3 over 8 degr

ees Celsius, −0.15 degrees Celsius, 7 over 9 degrees Celsius Write an expression to show the average daily change in the temperature of the city
Mathematics
2 answers:
PIT_PIT [12.4K]1 month ago
7 0
 To find the average daily change in temperature, total the four daily changes and divide the sum by 4:

(3.24, -0.375, -0.15, 0.778) / 4 results in about 0.87 degrees per day.
Leona [12.6K]1 month ago
7 0

Answer:

The solution is 0.87

Step-by-step explanation:

You might be interested in
It has been suggested that night shift-workers show more variability in their output levels than day workers. Below, you are giv
babunello [11817]

Response:

Null hypothesis = H₀ = σ₁² ≤ σ₂²

Alternative hypothesis = Ha = σ₁² > σ₂²

Calculated statistic = 1.9

p-value = 0.206

Given that the p-value exceeds α, we do not reject the null hypothesis.

Thus, we conclude that night shift workers do not exhibit higher variability in their output levels compared to day workers.

Step-by-step elaboration:

Let σ₁² represent the variance for night shift workers

Let σ₂² represent the variance for day shift workers

State the null and alternative hypotheses:

The null hypothesis suggests that the variance of night shift workers does not exceed that of day shift workers.

Null hypothesis = H₀ = σ₁² ≤ σ₂²

The alternative hypothesis posits that the variance for night shift workers surpasses that of day shift workers.

Alternative hypothesis = Ha = σ₁² > σ₂²

Calculated statistic:

The test statistic, or F-value, is derived using

Test statistic = Larger sample variance/Smaller sample variance

The larger sample variance is σ₁² = 38

The smaller sample variance is σ₂² = 20

Test statistic = σ₁²/σ₂²

Test statistic = 38/20

Calculated statistic = 1.9

p-value:

The corresponding degrees of freedom for night shift workers is[1]

df₁ = n - 1

df₁ = 9 - 1

df₁ = 8

The corresponding degrees of freedom for day shift workers is[1]

df₂ = n - 1

df₂ = 8 - 1

df₂ = 7

We can obtain the p-value using the F-table or Excel.

To determine the p-value in Excel, we use

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.9, 8, 7)

p-value = 0.206

Conclusion:

p-value > α    

0.206 > 0.05   ( α = 0.05)As the

p-value is larger than α, we do not reject the null hypothesis with a confidence level of 95%

[[TAG_101]]This leads us to conclude that night shift workers do not demonstrate more variability in their output levels in comparison to day workers.[[TAG_102]]
3 0
16 days ago
Lila needs a custom frame for a painting that her friend made for her. I’ve Been Framed is offering 50 percent off plus an addit
Leona [12618]

Answer:

The Framers provides the more affordable price, being $1.35 less expensive.

Step-by-step explanation:

I've Been Framed:

50% of $115 amounts to $57.5.

10% of $57.5 equals $5.75.

Subtracting gives $57.5 - $5.75 = $51.75.

Total: $51.75

The Framers:

30% off $120 results in $36.

After discount, $120 - $36 equals $84.

40% off $84 is $33.6.

Subtracting gives $84 - $33.6 = $50.4.

Price difference: $1.35

7 0
1 month ago
Given: <br> AB tangent at D, AD = OD = 4<br> Find: Area of the shaded region
lawyer [12517]
<span>With AB tangent at D, where AD = OD = 4
, triangle OAD forms a right angle with sides measuring 4 and 4.
So, the area of triangle OAD is computed as 1/2 * 4 * 4 = 8

The angles AOD and DAO equal 45 degrees.
Therefore, the area of circular sector OCD is calculated as the area of circle O multiplied by 45/360
= pi * 4 * 4 * 45/360
= 2pi

The shaded area ACD results from the triangle OAD minus the area of circular sector OCD
= 8 - 2pi
= 1.72




</span>
6 0
19 days ago
A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?
lawyer [12517]

Response:

(A)

A symmetrical outcome occurs when both figures are identical.

The half section of the illustration is tilted downward; therefore, to achieve symmetry, we must shift the figure upwards.

Then, we reflect upon the inverted image.

Thus, we achieve reflectional and translational symmetry.

7 0
23 days ago
Read 2 more answers
A statistics professor at a large university hypothesizes that students who take statistics in the morning typically do better t
Svet_ta [12734]

Answer:

The resulting value is 2.381

Step-by-step explanation:

Using the information presented in the question, we will calculate the evidence supporting the professor's hypothesis

Given that:

x₁ = 74,

n₁ = 36

s₁ = 8

x₂ = 68

n₂ = 36

s₂ = 10

The hypotheses can be outlined as:

The critical value is t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀₁

thus,

t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀ = 2.381

This implies a range of -2.381 to 2.381

Thus, we can support the professor's assertion.

5 0
16 days ago
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