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vazorg [7]
3 years ago
7

Noah enlarged a photograph by a scale factor of 6. The area of the enlarged photo is how many times as large as the area of the

original?
Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

The area of the enlarged photo is 36 times as large as the area of the original.

<em><u>Explanation</u></em>

Noah enlarged a photograph by a scale factor of 6.

The rule we will use here is......

"<em>If the side lengths of any shape are all enlarged by a scale  factor of k, then the area will be enlarged by a scale factor of  k^2"</em>

So, here the area of the photograph will be enlarged by a scale factor of  (6)^2 = 36

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A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it
garri49 [273]

Answer:

t = 2.9272 > 1.708 at 25 degrees of freedom

null hypothesis is rejected

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

Step-by-step explanation:

<u>Step (i):</u>-

A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.

Given sample size 'n' = 26

The mean of the sample 'x⁻ = 21.1 min

Standard deviation of the sample 'S' = 5.4 min

The Population mean 'μ' = 18min

<u>Step(ii)</u>:-

<u>Null hypothesis: H₀</u> :  The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.

'μ' > 18min

<u>Alternative hypothesis</u> :H₁:  

'μ' <18min

<u>Level of significance :</u> ∝=0.05

Degrees of freedom γ = n-1 = 26-1 =25

The test statistic

 t  = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

t  = \frac{21.1-18}{\frac{5.4}{\sqrt{26} } }

t = 2.9272

<u>Step(iii)</u>:-

The tabulated value t = 1.708 at 25 degrees of freedom

t = 2.9272 > 1.708 at 25 degrees of freedom

Null hypothesis is rejected at  5% significance level of significance

<u>Conclusion</u>:-  

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

8 0
3 years ago
If Michelle walked 5 meters, how many inches did she walk?
aleksklad [387]
 <span>To convert from meters to feet ( m to f ) is a simple conversion. You can use 1 m = 3.28 ft or 1 m = 39.37 inches and just multiply. But this converter is designed to convert an entry in meters into both feet and inches. So the answer is D.: 196.85 inches.</span>
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3 years ago
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What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?
Alekssandra [29.7K]

Answer:

7.69

Step-by-step explanation:

13.99 x 0.45 = 6.2955 or 6.3

13.99 - 6.3 = 7.69

3 0
3 years ago
The figure shows five polygons: ABCDE, FGHIJ
Papessa [141]
It can transform in ABCDE
4 0
3 years ago
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Stephan curry of the golden state warriors made 29 baskets some were 2 points some were 3 points. If the total points he scores
seraphim [82]
<h2>Answer: He makes 261 baskets to earn 45 points.</h2>

Step-by-step explanation:

Since we have given that

Number of points = 2 + 3 = 5

Number of baskets = 29

if he makes 45 points,

We need to find the number of baskets.

According to question, we get that

\dfrac{5}{29}=\dfrac{45}{x}\\\\5x=45\times 29\\\\x=\dfrac{45\times 29}{5}\\\\x=261

Hence, he makes 261 baskets to earn 45 points.

8 0
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