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yKpoI14uk [10]
3 years ago
13

B. Using the net, find the surface area of the total shape if the height of the triangles is 4 cm and the bottom edge is 2 cm. S

how your work and label your answer appropriately.

Mathematics
1 answer:
Margarita [4]3 years ago
3 0
In the above diagram, there are 4 triangles and one square

Base of the triangle (b) = 2 cm
Height of the triangle (h) = 4 cm

Side of the square = 2 cm

Area of triangle = 1/2 bh = 1/2 x 2 x 4 = 4 cm²
Area of 4 triangles = 4 x 4 cm² = 16 cm²

Area of the square = 2 cm x 2 cm = 4 cm²

Surface area of the total shape = Area of 4 triangles + Area of the square = 16 cm² + 4 cm² = 20 cm²
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Tim's phone service charges $23.02 plus an additional $0.19 for each text message sent per month. If Tim's phone bill was $27.77
xeze [42]

Answer:

Step-by-step explanation:

23.02 plus an additional 0.19 for each text.....x = # of texts

$ 0.19x + 23.02 = 27.77 is ur equation

3 0
3 years ago
In one area, monthly incomes of technology-related workers have a standard deviation of $650. It is believed that the standard d
Virty [35]

Answer:

There is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.

Step-by-step explanation:

Here we have our null hypothesis as H₀: σ² = s²

Our alternative hypothesis is then Hₐ: σ² ≠ s²

We therefore have a two tailed test

To test the hypothesis of difference in standard deviation which is the Chi squared test given as follows

\chi ^{2} = \dfrac{\left (n-1  \right )s^{2}}{\sigma ^{2}}

Where:

n = Size of sample

s² = Variance of sample = 950²

σ² = Variance of population = 650²

Degrees of freedom = n - 1 = 71 - 1 = 70

α = Significance level = 0.1

Therefore, we use 1 - 0.1 = 0.9

From the Chi-square table, we have the critical value as

1 - α/2 = 51.739,  

α/2 = 90.531

Plugging the values in the above Chi squared test equation, we have;

\chi ^{2} = \dfrac{\left (23-1  \right )950^{2}}{650 ^{2}} = 49.994

Therefore, since the test value within the critical region, we do not reject the null hypothesis, hence there is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.

6 0
3 years ago
11. Simplify 3/ 2 - /2
Igoryamba

answer:

you can't simplify that

step-by-step explanation:

3/2- /2 isn't a proper equation, therefore it cannot be simplified

please let me know if the issue is that you forgot the numerator, and in the instance that this is the case please type in the comments the numerator and i'll gladly change my answer

have a nice day!

8 0
3 years ago
What rational number is one half of the way between 2 and 6.5
Airida [17]
Halfway between the numbers 2 and 6.5 is the rational number 4.25. I hope this helps!
3 0
3 years ago
Read 2 more answers
Margaret bought 1,575 grams of rice. how many kg of rice is that?
bearhunter [10]
1 kg = 1000 grams

? kg = 1575 grams

1.575 kg = 1575 grams

1,575 grams is 1.575 kilograms.
6 0
3 years ago
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