<h3>Answer: True</h3>
Explanation:
Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.
Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.
f(1) > 0 means we're in the northern country since f(x) is positive here
then f(3) < 0 means we're now in the southern negative country
Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.
So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0
Answer:
0.13% of customers spend more than 46 minutes
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
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:
What percentage of customers spend more than 46 minutes?
This is 1 subtracted by the pvalue of Z when X = 46. So
has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.13% of customers spend more than 46 minutes
Answer:
<h2>693 m²</h2>
Step-by-step explanation:
This is a parallelogram.
The formula of an area of a parallelogram:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
From the graph we have <em>b = 21m</em> and <em>h = 33m</em>.
Substitute:
Answer:
$ 7.04
Step-by-step explanation:
The price after two reductions means that we have to multiply the initial price by 25% twice. Remember that 25% is equal to 0.25, because the percentage sign refers to a division by 100. Therefore, the final price after two reductions is $7.04.
I believe the answer is the last one ∠M ≡ ∠C. for triangles which are congruent the corresponding angles are equal while the corresponding sides are equal.
Therefore, if three pairs of sides of two triangles are equal in length (SSS), then the triangles are congruent. In addition if two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.