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zimovet [89]
4 years ago
10

Select from the drop-down menu to correctly compare the numbers.

Mathematics
2 answers:
Setler79 [48]4 years ago
8 0
The answer is going to be C.)
kogti [31]4 years ago
6 0

Answer:

Step-by-step explanation:

it is C just took the quiz and C is correct

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What is 28/49 in simplest form?
HACTEHA [7]
28/49 divided by 7 since is <span>teh</span> <span>bigest</span> number they can <span>bith</span> be divided it would give us 4/7
6 0
3 years ago
The national average for the math portion of the College Board’s Scholastic Aptitude Test
Alex73 [517]

Answer:

a) 0.1587

b) 0.023

c) 0.341

d) 0.818

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 515

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(score greater than 615)

P(x > 615)

P( x > 615) = P( z > \displaystyle\frac{615 - 515}{100}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 615) = 1 - 0.8413 = 0.1587 = 15.87\%

b) b) P(score greater than 715)

P(x > 715) = P(z > \displaystyle\frac{715-515}{100}) = P(z > 2)\\\\P( z > 2) = 1 - P(z \leq 2)

Calculating the value from the standard normal table we have,

1 - 0.977 = 0.023 = 2.3\%\\P( x > 715) = 2.3\%

c) P(score between 415 and 515)

P(415 \leq x \leq 515) = P(\displaystyle\frac{415 - 515}{100} \leq z \leq \displaystyle\frac{515-515}{100}) = P(-1 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1)\\= 0.500 - 0.159 = 0.341 = 34.1\%

P(415 \leq x \leq 515) = 34.1\%

d) P(score between 315 and 615)

P(315 \leq x \leq 615) = P(\displaystyle\frac{315 - 515}{100} \leq z \leq \displaystyle\frac{615-515}{100}) = P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.841 - 0.023 = 0.818 = 81.8\%

P(315 \leq x \leq 615) = 81.8\%

4 0
4 years ago
Fill in the blank with the correct number. the number____ is divisible by 2,3,4,6 and 10.
olganol [36]
Answer: 180

Explanation: 180 is divisible by ALL of the numbers. 2,3,4,6 and 10.

Happy studying ^-^
7 0
3 years ago
Read 2 more answers
Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a g
ivann1987 [24]

Answer:

$3.7625

Step-by-step explanation: I may be wrong but...

If you find 75% of $2.15 it is equal to $1.6125.

Since in "increases" we are going to add $1.6125 to $2.15.

You get the answer of $3.7625.

3 0
3 years ago
◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr
satela [25.4K]

<u>Given </u><u>:</u><u>-</u>

  • A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
  • The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
  • Customer has to pay 13% VAT .

<u>To </u><u>Find </u><u>:</u><u>-</u>

  • Amount to be paid by the customer .

<u>Sol</u><u>u</u><u>tion </u><u>:</u><u>-</u>

Here , according to the question ,

\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200

\sf\dashrightarrow VAT = 13\%

Therefore cost after adding VAT ,

\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\

\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\

\sf\dashrightarrow Cost = Rs4200 + Rs546\\

\sf\dashrightarrow \bf{ Cost = Rs 4746}

Again the values added by the retailer before selling to customer ,

  • Transport = Rs 250
  • Profit = Rs 300
  • Tax = Rs 150

Therefore total cost after adding these ,

\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\

\sf\dashrightarrow\bf { Cost = Rs 5446}

Again Selling price after addition of 13% VAT ,

\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\

\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\

\sf\dashrightarrow SP = Rs (5446 + 707.98) =  Rs ( 5446 + 708)\\

\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}

<u>Hence </u><u>the </u><u>amount </u><u>to </u><u>be </u><u>paid </u><u>by </u><u>the </u><u>customer </u><u>is </u><u>Rs </u><u>6</u><u>1</u><u>5</u><u>4</u><u> </u><u>.</u>

3 0
2 years ago
Read 2 more answers
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