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victus00 [196]
3 years ago
10

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori

da, how many seashells does he have in his collection all together?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

The number of seashells he have in his collection all together is <u>140</u>.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be x.

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

35\%\ of\ x=49.

⇒ \frac{35}{100} \times x=49

⇒ 0.35\times x=49

⇒ 0.35x=49

Dividing both sides by 0.35 we get:

⇒ x=140.

Therefore, the number of seashells he have in his collection all together is 140.

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Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 a
krok68 [10]

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. <u>Finding z-score for Reagan;</u>

Let X = distribution of SAT scores

SO, X ~ Normal(\mu=1000, \sigma^{2}=100^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 1000

            \sigma = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

       z-score  =  \frac{1140-1000}{100}  =  1.4

2. <u>Finding z-score for Jessie;</u>

Let X = distribution of ACT scores

SO, X ~ Normal(\mu=17, \sigma^{2}=5^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 17

            \sigma = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

       z-score  =  \frac{30-17}{5}  =  2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

6 0
3 years ago
The area of a mirror is 225 square inches, and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 1
gavmur [86]
If you multiply length times width to get area, it's the same with division. You do area divided by length or width. The equation would be 225 divided by 13 3/4. 225/13 3/4= 16.36 inches. 16.36 > 16 inches, so the answer would be no. (The mirrors length and width are 13 3/4 inches by 16 9/25)
7 0
3 years ago
Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make the hot dogs. Jim sells hot dogs for $2.
Olegator [25]
So since he is wasting money to purchase everything you won't be gaining but loosing so 250-2h= P bc it's $2 for every hot dog and you are losing again
3 0
4 years ago
HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
Salsk061 [2.6K]

Answer:

Option (3)

Step-by-step explanation:

Properties for the vertical stretch or shrink of a function,

If a function is f(x) = k|x|

1). Function will be vertically stretched if k > 1

2). Function will have a vertical shrink if 0 < k < 1

To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.

And the value of k will be, 0 < k < 1.

Therefore, g(x) = \frac{1}{3}f(x) will be the transformed graph.

Therefore, Option (3) will be the correct option.

6 0
3 years ago
Place the decimal point in the answer to make it correct. Explain your reasoning. 3.9853X8.032856 = 32013341.
horsena [70]
<span>1.       </span><span>The Given problem is to find where to place the decimal point to the product shown below.
3.9853 x 8.032856, notice that the given equation are decimal numbers with both ones place value of the whole number.
Now, given the answer 32013341 without decimal point, let’s find where to put the decimal point.
=> 3.9853 x 8.032856
=> 32.013341
Thus, the decimal point is now located after the 2nd number.  We now have 2 whole numbers with value of tens.

 </span>



5 0
4 years ago
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