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valina [46]
3 years ago
12

You have a roll of string that is 60 meters long. Which BEST approximates the number of yards of string on the roll? (1 yd = 0.9

144 meter)
A) 50 yards
B) 60 yards
C) 66 yards
D) 98 yards
Mathematics
2 answers:
Lilit [14]3 years ago
3 0
The answer is C) 66 yards
77julia77 [94]3 years ago
3 0

Answer:

66 yards

Step-by-step explanation:

Given

1 yard = 0.9144 meter

60meters = ?

Therefore

1 yard = 0.9144 meter

y = 60 meters

Cross multiply

60 x 1 = y x 0.9144

60 = 0.9144y

Divide both sides by 0.9144

60/0.9144 = 0.9144y/0.9144

65.62 = y

y = 66 yards

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suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
An equilateral triangle has three equal sides.
Flauer [41]

Answer:

Step 1. Perimeter P means adding up all three sides of a triangle.

Step 2. Then P=s+s+s=3s where s is the length of the side of the equilateral triangle.

Step 3. ANSWER: Perimeter P=3s.

I hope the above steps and explanation were helpful.

Step-by-step explanation:

HOPE THIS HELPS

6 0
3 years ago
Read 2 more answers
A hairstylist schedules 1/4 hour to trim a customers hair and 1/6 hour to style the customers hair. the hairstylist plans to wor
Lana71 [14]
To make it simple make them all the same fraction

6/24 to trim 4/24 to style and she wants to work for 80/24 hours for 5 days

if each appointment she wants to take 6/24 to trim and 4/24 to style then every appointment will take 10/24 of an hour.

she wants to do 80/24 so she can do 8 appointments a day if each take 10/24

8 appointments a day 5 days a week

8x5= 40 
3 0
3 years ago
Pikachu claims that you can use the method of undetermined coefficients fo solve the following. y" - y' -12y = g(t) where g(t) a
Tom [10]

Pikachu is right.

Undetermined Coefficients (that we learn here) only work when f(x) is a polynomial, exponential, sine, cosine, or a linear combination of those.

And,

As we can see that the equation given is a Polynomial,

So, Pikachu is right.

Learn more about Polynomial:

https://brainly.in/question/3793499

#SPJ4

6 0
2 years ago
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