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Karolina [17]
3 years ago
15

Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France. Danielle's unc

le sends her 2 more cards each month as he travels for business. The table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.
Number of Months Danielle
Has Been Collecting Cards Number of Cards in the
Collection
2 10
4 14
8 22
24 ?

How many cards can Danielle expect to have after 24 months?
A. 38
B. 48
C. 54
D. 146
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

The correct answer is C. 54.

Step-by-step explanation:

Since Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France, and Danielle's uncle sends her 2 more cards each month as he travels for business, and the table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.

Number of Months Danielle

Has Been Collecting Cards Number of Cards in the

Collection

2 10

4 14

8 22

24?

To determine how many cards Danielle can expect to have after 24 months, the following calculation must be performed:

(24 x 2) + 6 = X

48 + 6 = X

54 = X

Therefore, after 24 months Danielle will have 54 cards.

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3 years ago
Below are tabulated a number of Rockwell G hardness values that were measured on a single steel specimen. Compute
Mashcka [7]

Answer:

a) 48.408

b) 1.235

Step-by-step explanation:

a)

The average hardness value xbar can be computed as

xbar=sum of values/number of values

xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12

xbar=580.9/12

xbar=48.408 (rounded to 3 decimal places).

The average hardness value is 48.408.

b)

The standard deviation hardness value s can be computed as

s=\sqrt{\frac{sum(x-xbar)^2}{n-1} }

x              x-xbar  (x-xbar) ²

46.5  -1.90833 3.64174

46.9  -1.50833 2.27507

49.4    0.99167 0.98340

50.3     1.89167 3.57840

49.8     1.39167 1.93674

48.8    0.39167 0.15340

47.0           -1.40833 1.98340

47.7   -0.70833 0.50174

48.3           -0.10833 0.01174

49.4    0.99167  0.98340

47.8           -0.60833 0.37007

49.0    0.59167 0.35007

Total                               16.7692

s=\sqrt{\frac{16.7692}{12-1} }

s=\sqrt{\frac{16.7692}{11} }

s=\sqrt{1.5245}

s=1.2347

s=1.235 (rounded to 3 decimal places)

The standard deviation hardness value is 1.235.

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Serggg [28]

Answer:

\large\boxed{y=76.3359\ cm\approx76.3\ cm}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

We have

adjacent=73\ cm\\hypotenuse=y

and the angle 17°.

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Substitute:

\dfrac{73}{y}=0.9563             <em>convert the decimal to the fraction</em>

\dfrac{73}{y}=\dfrac{9563}{10000}          <em>cross multiply</em>

9563y=730000           <em>divide both sides by 9563</em>

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