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enyata [817]
3 years ago
5

John took a 5-mile walk to his friend's house.

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

2 hours

Step-by-step explanation:

add the time before and after adding 30 mins. (1 hour and 45 minutes/ 2 hours and 15 mins.) then divide by 2

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A relative asked her aunt that lives in a certain part of the US to send her some money for food expenses in Canada. Her aunt se
scZoUnD [109]

Answer:

$6250

Step-by-step explanation:

if im correct plz can i get a brainliest

8 0
3 years ago
4. Two points on a line are (-10, 1) and (5, -5). If
Vsevolod [243]

Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-10,1),(5,-5)

substitute in the formula

m=\frac{-5-1}{5+10}

m=\frac{-6}{15}

Simplify

m=-\frac{2}{5}

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

so

Find the slope between the points

(x,-3),(5,-5)

Remember that

m=-\frac{2}{5}

substitute in the formula

-\frac{2}{5}=\frac{-5+3}{5-x}

-\frac{2}{5}=-\frac{2}{5-x}

the denominators must be the same

5=5-x

x=0

therefore

The x-coordinate of another point is zero

3 0
3 years ago
1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle
zimovet [89]

Answer: \left |  2t-5\right |,\ 2,\ 2t-5

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

s(t)=t^2-5t+1

Speed of the particle is given by

\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left |  2t-5\right |

Acceleration of the particle is

\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2

velocity can be negative, but speed cannot

\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5

3 0
3 years ago
Theorems are understood as true and do not need to be proved.<br><br> True<br><br> False
patriot [66]

The answer is FALSE. Theorem, as applied in mathematics, is a statement that has been proved having a basis of laborious mathematical reasoning. The statement that is assumed to be true without proof is called axiom or postulate. Theorems are proved using axioms.  

8 0
4 years ago
A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a
frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 80, \sigma = 6.5

What percentage of the class has an exam score of A- or higher (defined as at least 90)?

This is 1 subtracted by the pvalue of Z when X = 90. So

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

Z = \frac{90 - 80}{6.5}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% of the class has an exam score of A- or higher.

4 0
3 years ago
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