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serg [7]
4 years ago
10

Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm

on difference for the sequence. then use the common difference to find the second term of the sequence.
Mathematics
1 answer:
Andreyy894 years ago
4 0
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

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Letty answered 15 out of 20 questions correctly on her history quiz. What
Furkat [3]

Answer:

75%

Step-by-step explanation:

One way to find this out is to divide 15 by 20

15/20 can be simplified into 0.75.

Another example:

Let's say a student does absolutely horrendus on the test, and gets only 4 questions correct out of 20. You can do 4/20 which is 0.2 in decimal form. (You can use a calculator.) This means that in this example, this student got a 20% on the test.

4 0
3 years ago
Determine the area under the standard normal curve that lies to the left of the following z score. Use a table if necessary. Rou
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We are asked to d<span>etermine the area under the standard normal curve that lies to the left of the following z score of 1.57. in this case, we can use the rules of integration as this is related to area under the curve:

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Answer is 0.8665
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4 0
3 years ago
Lucas plants 20% of his garden with cucumber plants. The cucumber plants cover an area of 24m square. What is the total area of
enyata [817]

Answer:

<em>120m square.</em>

Step-by-step explanation:

If on average 20% of the garden is equal to 24m square, 24m * 4 = 80%, which is 96.

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7 0
4 years ago
A pie company arranges its three-flavor cheesecake sampler into equal-sized slices as shown, where S represents strawberry, C re
Citrus2011 [14]

Answer:

37.68 square inches

Step-by-step explanation:

Given:

A pie company arranges its three-flavor cheesecake sampler into equal-sized slices: S represents strawberry, C represents chocolate, and P represents plain.

Diameter of the pie = 12 inches

To find: total area of the strawberry portion in the pie

Solution:

Diameter of the pie = 12 inches

Radius of the pie (r) = Diameter / 2 = \frac{12}{2}=6 inches

Area of the pie = \pi r^2=3.14(6)^2=113.04 square inches

Ratio of the strawberry portion in the pie = \frac{2}{6}=\frac{1}{3}

Therefore,

total area of the strawberry portion in the pie = \frac{1}{3}(113.04)=37.68 square inches

6 0
3 years ago
9x+16y=72 slope intercept form
zalisa [80]
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6 0
3 years ago
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