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3 years ago

5

There is a total of 1,500 people in the town of Markston. Only 55% of them voted during the town's elections this year. How many

people voted?

2 answers:

KonstantinChe [14]3 years ago

6 0

Answer:

825

Step-by-step explanation:

55% = 55/100 = 0.55; this means that

0.55(1500) = 825 people voted.

GrogVix [38]3 years ago

3 0

Answer:

In total 825 people in the town voted.

Step-by-step explanation:

55% = 0.55

1,500 * 0.55 = 825

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mihalych1998 [28]

Answer: 25/32

Step-by-step explanation:

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3 years ago

g A report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized and 20 out of 208 w

Naya [18.7K]

Answer:

Test statistic |Z| = 0.1040 < 1.96 at 0.05 level of significance

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized

First proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925$

Given that a report on the nightly news broadcast stated that 20 out of 208 households without pet dogs were burglarized

Second proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961$

where

$P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }$

P = 0.09486

Q = 1 - P = 1 - 0.09486 = 0.90514

<u><em>Step(ii):-</em></u>

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

$Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }$

Z = -0.1040

|Z| = |-0.1040|

|Z| = 0.1040

Critical value Z = 1.96 at 0.05 level of significance

6 0

3 years ago

Find the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2.

murzikaleks [220]

The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5

The nth term of a geometric sequence is given mathematically as;

T(n) = ar^n

where, a = first term of the geometric sequence.

r = common ratio of the sequence

and n = nth term of the sequence.

Therefore, the sum of the first 8 terms of the geometric sequence is;

<em>S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.</em>

In essence;

since common ratio, r = 2

and first term, a = -2.5

Therefore, we have;

S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)

S(8) = -2.5(255)

S(8) = -637.5.

Therefore, the sum of the first eight terms of the <em>geometric sequence</em> whose first term is -2.5 and ratio is 2 is: -637.5

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3 years ago

The graph compares the number of filled tables at a party with the number of party guests. Which information tells you that the

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Answer:

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Step-by-step explanation:

A proportional relationship is represented by linear function with its linear parameter "b" equal to zero. Since b is equal to zero, the line passes through the origin and the function/relation is proportional.

To verify that we divide the y coordinate over the x coordinate we obtain a constant called k, which is the slope.

For instance:

$y=2x$

According to this function we can easily check a proportional relationship among its points:

$(1,2), (2,4), (4,8), (6,12), ...$

$k=\frac{y}{x}=\frac{2}{1}=\frac{4}{2}=\frac{12}{6}\Rightarrow k=2$

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4 years ago

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Please help! Will mark Brainly!

Ulleksa [173]

10 hot dogs and 5 hamburgers your graph would be 2y:1x

$\frac{2y}{1x}$

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3 years ago