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Troyanec [42]
2 years ago
5

A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three int

erior angles have measures less than 90°90°. Is Charlene’s definition valid?
A.Yes, because no right triangles fit this definition.
B.No, because some scalene triangles fit this definition.
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
D.No, because not all acute triangles fit this definition.
Mathematics
1 answer:
Slav-nsk [51]2 years ago
4 0
By definition we have to:
 Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
 Therefore, Charlene's definition is correct.
 Charlene said:
 triangle is a triangle whose three interior angles have measures less than 90 °
 Answer:
 C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
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Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal is:

s\leq 15

Thus, Darcie can skip a maximum of 15 days.

Step-by-step explanation:

Question

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Given:

Darcie has a target to crochet a minimum of 3 blankets.

Rate at which Darcie crochets = \frac{1}{15} of a blanket per day.

Darcie has 60 days to crochet the blankets

To write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

The number of days Darcie can skip crocheting is represented by s

So, number of days left for Darcie to crochet = 60-s

In 1 day Darcie crochets  \frac{1}{15} of a blanket.

So, in (60-s) days she will crochet = \frac{1}{15}(60-s)  blankets.

Her aim is to crochet at least 3 blankets.

Thus, the inequality can be given as:

\frac{1}{15}(60-s)\geq 3

Solving for s

Multiplying both sides by 15 to remove fractions.

15\times\frac{1}{15}(60-s)\geq 3\times 15

60-s\geq 45

Subtracting both sides by 60.

60-60-s\geq 45-60

-s\geq -15

Dividing both sides by -1.

\frac{-s}{-1}\leq \frac{-15}{-1}     [ On dividing by negative number the sign of the inequality is reversed]

∴ s\leq 15

Thus, Darcie can skip a maximum of 15 days.

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Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

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μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

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σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

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A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
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Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

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Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

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Required 95% confidence interval :  (15.263,\ 17.537)

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