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Alja
11 days ago
15

Sue played four games of golf for these games her modal score was 98 and her mean score was 100 her range of score was 10 what w

as her score for the four games
Mathematics
1 answer:
zzz [4K]11 days ago
8 0

Answer: The other two observations are 97 and 107.

Explanation:

We know that

Mean = 100

Mode = 98

Range = 10

And from the formula,

Range = Highest - Lowest.

Let’s set the highest observation as x and the lowest as y.

Thus, we have the equation x - y = 10 (equation 1).

The observations can be represented as:

x, 98, 98, y.

Using the mean formula yields:

Mean = \frac{\text{Sum of observation}}{\text{N.of observaton}}.

This means our second equation is:

x + y = 204.

By applying the elimination method to solve these linear equations, we find:

x = 97.

and

x+y=204\\y=204-x\\y=204-97\\y=107.

Therefore, the other two observations are 97 and 107.

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If m<9=97° and m<12=114°, find each measure. I have to show my work.
Leona [4166]

Solution/Step-by-step breakdown:

Information provided:

m<9 = 97°

m<12 = 114°

a. m<1 = m<9 because they are corresponding angles, which are equal.

m<1 = 97° (using substitution)

b. m<2 + m<1 = 180° (since they form a linear pair)

m<2 + 97° = 180° (substitute the value)

m<2 = 180 - 97 (subtracting 97 from both sides)

m<2 = 83°

c. m<3 = m<11 (as they are corresponding angles)

m<11 + m<12 = 180° (linear pair)

m<11 + 114° = 180° (substituting the known angle)

m<11 = 180 - 114

m<11 = 66°

m<3 = m<11 = 66°

d. m<4 + m<3 = 180° (linear pair)

m<4 + 66° = 180° (substituting the known angle)

m<4 = 180 - 66

m<4 = 114°

e. m<5 = m<2 as vertical angles are equal.

m<5 = 83° (using substitution)

f. m<6 = m<1 (vertical angles are equal)

m<6 = 97° (using substitution)

g. m<7 = m<4 (as vertical angles are equal)

m<7 = 114° (using substitution)

h. m<8 = m<3 (due to vertical angles being equal)

m<8 = 66° (using substitution)

i. m<10 = m<2 (corresponding angles are equal)

m<10 = 83° (using substitution)

j. m<11 = m<3 (because they are vertical angles)

m<11 = 66° (using substitution)

k. m<13 = m<5 (corresponding angles)

m<13 = 83° (applying substitution)

l. m<14 = m<9 (as vertical angles)

m<14 = 97° (applying substitution)

m. m<15 = m<12 (as vertical angles)

m<15 = 114° (applying substitution)

n. m<16 = m<11 (because they are vertical angles)

m<16 = 66° (applying substitution)

3 0
7 hours ago
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
tester [3916]

Answer:

$6.48

Step-by-step explanation:

Initially calculate the 10% discount on $1.60, which results in $1.44. Then multiply $1.44 by 4.5 to find the total, yielding $6.48.

4 0
12 days ago
Read 2 more answers
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h
Svet_ta [4321]
To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.

This involves discovering the largest number that divides both 72 and 24 evenly,
which is known as the GCM or greatest common multiplier.

To determine the GCM, factor 72 into primes and group them:
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
Thus, the common grouping is 2 times 2 times 2 times 3, equating to 24.
Therefore, the maximum number of packs is 24.

For pencils:
72 divided by 24=3
Resulting in 3 pencils per pack.

For calculators:
24 divided by 24=1
So, 1 calculator per pack.

The outcome is 3 pencils and 1 calculator in each pack.
6 0
22 hours ago
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Which of the following appear in the diagram below??
zzz [4022]
The elements that are visible include A, B, and C.
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5 days ago
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Use the chart to answer the following questions:)
zzz [4022]

it’s $295.47 that’s everything

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