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2 years ago

A) The ratio 20 minutes to 1 hour can be written in the form 1:n.

Mathematics

1 answer:

Fudgin [204]2 years ago

7 0

Answer:

a) 1:3

b) 9:225,000

Step-by-step explanation:

1 hour is equal to 60 minutes. Written as a fraction it would look like

$\frac{20}{60}$ which would be equal to $\frac{1}{3}$ , or $1:3$

Just multiply both sides of the ratio by 9, you will get $9:225,000$

Hope I helped, please mark as brainliest! Have a good day!

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On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each

mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group = x

so number of senior citizens = x × 1/16 = x/16

Percentage of senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x) × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of infants =(number of infants ÷ total number of people visited the group) × 100 = (3x/16 ÷ x) × 100 = 300/16 = 18.75%

number of children = 3/8 × x = 3x/8

Percentage of children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%

number of adults = 3/8 × x = 3x/8

Percentage of adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

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2 years ago

Ali and Steve share some sweets in the ratio 2 : 7

Ivahew [28]

Answer: 30 - 5 = 25 (the difference between the two is 5)

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2 years ago

Sasha lives 1,493 miles from her grandmother. One year, Sasha's family made 4 round trips to visit her grandmother. How many mil

Veronika [31]

Sasha's family traveled 11,944 miles.

(( 4 round trips = 8 trips ))
(( 1493 x 8 ))

Hope this helps!

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2 years ago

A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take

ddd [48]

Answer:

For 90% CI = (0.428, 0.572)

For 98% CI = (0.399, 0.601)

The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 66/132 = 0.50

Number of samples n = 132

Confidence level = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

0.50 +/- 1.645√(0.50(1-0.50)/132)

0.50 +/- 1.645√(0.001893939393)

0.50 +/- 0.071589436011

0.50 +/- 0.072

(0.428, 0.572)

The 90% confidence level estimate of the true population proportion of students who responded "yes" is (0.428, 0.572)

For 90% CI = (0.428, 0.572)

For 98% CI = (0.399, 0.601)

The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.

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2 years ago

Point E belongs to diagonal AC of parallelogram ABCD (labeled counterclockwise) so that AE:EC=2:1. Line BE intersects CD at poin

Svetach [21]

Consider two triangles AEB and CEF. In these triangles:

∠AEB≅∠CEF (as vertical angles);
∠EAB≅∠ECF (lines AB and CD are parallel and AC is transversal, then these angles are congruent as alternate interior angles);
∠ABE≅∠CFE (lines AB and CD are parallel, BF is transversal, then these angles congruent as alternate interior angles).

Thus, by AAA theorem, $\triangle AEB\sim \triangle CEF.$

Corresponding sides of similar triangles are proportional, then

$\dfrac{AB}{CF}=\dfrac{AE}{EC},\\ \\\dfrac{AB}{CF}=\dfrac{2}{1},\\ \\AB=2CF.$

ABCD is a parallelogram, then AB=CD.

Therefore,

CD=2CF and CD=DF+CF. Equate these two expressions:

DF+CF=2CF,

DF=CF.

This gives you that DF:CF=1:1.

Answer: 1:1

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2 years ago