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Alekssandra [29.7K]
4 years ago
12

A circular garden has a circumference of 88 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7

yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.
Mathematics
1 answer:
ankoles [38]4 years ago
4 0

Answer:

It will take 4 hours to dig in the garden

Step-by-step explanation:

First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter

d = diameter

π = 3.14

c = circumference

c = π * d

d = c / π

d = 88yd / 3.14

d = 28.025yd

round to the nearest whole number

28.025 = 28

d = 28yd

To know how many hours it takes, we divide the diameter by the speed

t = time

v = velocity

t = d / v

t = (28yd) / (7yd/h)

t = 4h

It will take 4 hours to dig in the garden

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yanalaym [24]
In the b section on this piece of paper, we can see, that this would practically be a pie graph, or if you would want to call it a graph in general. As the question stated, we see how we would want to find the perimeter of the figure. So this, sense this would only be 1/4 of the figure, we would then do 4(in) x's 4 and from this, your perimeter would give you 16(in).
8 0
3 years ago
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se
notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0
3 years ago
Instructions
Gnoma [55]
Lets just choose the first one, 3 4 and 5. According to the Pythagorean Theorem,
a^2+b^2=c^2

So lets plug in our numbers.

3^2+4^2=c^2

The answer should be 5, but lets make sure.

3*3 = 9
4*4 = 16
9+16=c^2
25 = c^2
Square root both sides so:
5=c
And sure enough 5 is the last number on that list. The order doesn’t matter as long as the value you are trying to find is the c^2.
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What is the volume of the right rectangle prism?
tatiyna
Length times width times height

6*9*2
104
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If a polygon is a square, then a polygon is a quadrilateral The truth value: The converse: The truth value: The inverse: The tru
Simora [160]

Answer and Step-by-step explanation:

Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect

The converse of this statement is the reverse of its statements hence:

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The inverse of this statement is the negation of the statements hence :

If a polygon is not a square then a polygon is not a quadrilateral

The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:

If a polygon is not a quadrilateral then a polygon is not a square

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