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Genrish500 [490]
3 years ago
7

50% of Brady's Halloween candy has been eaten. He has 68 pieces left. How much did he have​

Mathematics
2 answers:
artcher [175]3 years ago
7 0

Answer:

136

Step-by-step explanation:

Brady has eaten 50% of the original amount.  The final amount is 68.  So think, what 50% of a number is equal to 68?

Let x= original amount

Let n= final amount

n=68

50%= 0.5

0.5(x)= n

Divide both sides by 0.5

x= n/0.5, we know n=68, sub in 68 for n

x= 68/0.5

x= 136

Therefore, Brady had 136 pieces originally.

love history [14]3 years ago
5 0
136 pieces? Because 68 is half of it (50%) and 68 times 2 is 136
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Mazyrski [523]
X^2 - 8x  = (x - 4)^2 - 16

we add 16 to  give   x^2 - 8x + 16  which is a perfect square 

x^2 - 8x + 16  = (x - 4)^2

answer is 16
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If 1/2 is the fraction representing the ratio of corresponding sides of two similar
Lynna [10]

Answer:

1/4

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of sides.

(1/2)² = 1/4

Answer: 1/4

7 0
2 years ago
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
Which equation has the same solution as x2 - 6x – 14 = 0?<br>how i do this​
Stells [14]

Answer: 1.79

Step-by-step explanation: x2−6x−14=0

For this equation: a=1, b=-6, c=-14

1x2+−6x+−14=0

Step 1: Use quadratic formula with a=1, b=-6, c=-14.

x=

−b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−14)

2(1)

x=

6±√92

2

x=3+√23 or x=3−√23

Answer:

x=3+√23 or x=3−√23= 1.79

5 0
2 years ago
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