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Stels [109]
2 years ago
5

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after tha

t. He writes the expression 10+0.5(d−1) to find the amount of money in his account after d days. Which statement about his expression is true? 1.It is the product of the initial amount and the additional amount after d days. 2.It is the sum of the initial amount and the number of days, d. 3.It is the difference between the initial amount and the additional amount after d days. 4.It is the sum of the initial amount and the additional amount after d days.
Mathematics
1 answer:
AlladinOne [14]2 years ago
7 0

Answer:

4. It is the sum of the initial amount and the additional amount after d days.

Step-by-step explanation:

since he receives $10 in the beginning and also after d number of days in regard to the fact that he adds $0.50 each day , both need to be added to get the total after a certain time period

hence they need to add the initial amount and the additional amount after d days

<h2 /><h2>the option that has a similar answer is : </h2>

4. It is the sum of the initial amount and the additional amount after d days.

the ANSWER is : 4

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The pucks used by the National Hockey League for ice hockey must weigh between and ounces. Suppose the weights of pucks produced
Dahasolnce [82]

Answer:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

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 weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.86,0.13)  

Where \mu=5.86 and \sigma=0.13

We are interested on this probability

P(5.5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

4 0
2 years ago
A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
fomenos
A dilation is a transformation D_{o,k}(x,y), with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor, \frac{1}{2} is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If D_{o, \frac{1}{2} }(x,y) is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

D_{o, \frac{1}{2} }(x,y)=( \frac{1}{2}x,  \frac{1}{2}y)

The distance from A' to the origin is half the distance from A to the origin.</span>
3 0
2 years ago
Read 2 more answers
For number one I need help
bezimeni [28]
2/4 of orange paint, he took 1/4 off red so he has to take 1/4 off yellow as well
3 0
2 years ago
A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 everyday. Does this student have enough mone
Alex787 [66]

Answer:

no

Step-by-step explanation:

in a 7 day week, he would need $24.50

8 0
2 years ago
Choose yes or no to tell whether each term is equivalent to the slope in a proportional relationship.
Anna007 [38]

Answer:

A. Constant of proportionality : Yes

B. Origin : No.

C. Inverse : No.

D. Rise per run : Yes

E. Unit rate : Yes.

Step-by-step explanation:

We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.

A. Constant of proportionality: Yes

B. Origin: No.

C. Inverse: No.

D. Rise per run: Yes

E. Unit rate: Yes.  

The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)

5 0
2 years ago
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