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saw5 [17]
2 years ago
11

Dana buys a new computer that cost $675. Sales tax is 7%. What is the total cost?

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
7 0

Answer:

$722.25

Step-by-step explanation:

Iteru [2.4K]2 years ago
5 0

Answer:

722.25

Step-by-step explanation:

675x1.07

1 would be 675. Since there is a 7 percent sales tax, it would be 107 percent of the cost.

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Find the area of triangle? 15ft 20ft​
Vikentia [17]

Answer:

I see your profile everywhere, and the answer is Right scalene Pythagorean triangle.

Step-by-step explanation:

3 0
2 years ago
The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Assume that y varies inversely as x. If y=6 when x=-4, find x when y= 12/5
yawa3891 [41]
This answer is : Y=2.4
3 0
2 years ago
Can someone help me please it is from numbers 16 to 19 please someone
TiliK225 [7]
The <u>correct answers</u> are:

16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Explanation:

16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Next we divide this sum by the number of data points, 24:
246/24 = 10.25.

The <u>median</u> is the middle point of a data set.  Since there are 24 points, this will be between two values.  These two values are 10 and 10; the median is 10.

The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.

17) The <u>mean </u>is changed; the sum of the data values is 246.  Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5:  15-5=10.  The range is changed the most.

18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>.  This means the answer is 10.

19) The expression for the total number of cars sold is found by adding together all of the points.
6 0
2 years ago
PLEASE HELP!!!!
Allushta [10]
Intersection (repeated element in the set)

A={-9,0,5}
B={0,2,5,8}
C={-9,2,5}

Ans: C, {5}

*In set B and C, element 2 was repeated but not for set A.
6 0
3 years ago
Read 2 more answers
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