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PolarNik [594]
3 years ago
14

Sarah lost her science book. Her school charges a lost book fee equal to 75% of the cost of the book. Sarah received a notice st

ating that she owed the school $60 for he lost book. How much did the school pay for the book.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer: the school paid $80 for the book.

Step-by-step explanation:

Let x represent the amount that the school paid for the book.

Her school charges a lost book fee equal to 75% of the cost of the book. It means that the amount that the school would charge on a book that cost $x is

75/100 × x = 0.75 × x = 0.75x

Sarah received a notice stating that she owed the school $60 for he lost book. It means that

0.75x = 60

x = 60/0.75

x = $80

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Answer:

x - 8 ≤ 14

Step-by-step explanation:

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(x-5)(2x+1)

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On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
Hitman42 [59]

Answer:

The 95% confidence interval = (98.225, 98.655)

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Where Mean = 98.44°F

Standard deviation = 0.30°F

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Because our number if samples is small, we use the t score confidence interval formula

Mean ± t × standard deviation/√n

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= 2.262

Hence,

Confidence interval = 98.44 ± 2.262 × 0.30/√10

= 98.44 ± 0.214592162

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98.44 - 0.214592162

= 98.225407838

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98.44 + 0.214592162

= 98.654592162

≈ 98.655

The 95% confidence interval = (98.225, 98.655)

5 0
3 years ago
Please help with the following problem asap!!
umka21 [38]

Answer:

8^7

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\dfrac{8^{15}}{8^7 \cdot 8} =

Remember that 8 = 8^1.

= \dfrac{8^{15}}{8^7 \cdot 8^1}

When you multiply powers with the same base, add the exponents. Do this in the denominator.

= \dfrac{8^{15}}{8^{7+1}}

= \dfrac{8^{15}}{8^{8}}

When  you divide powers with the same base, subtract the exponents.

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4 0
2 years ago
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given informa
irinina [24]

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

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3 years ago
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