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tigry1 [53]
3 years ago
11

Three baseball fans estimated the top speed of a baseball pitcher’s fastball. The table shows their estimates. The top speed of

the pitcher’s fastball is known to be 102 mph. Which statements are true?
Name Speed guessed (mph)
Lisa 97
Justin 93
Mohammed 105
Choose exactly two answers that are correct.

A.
Justin’s estimate had a lower percent error than Lisa’s.

B.
Mohammed’s estimate had the lowest percent error.

C.
Lisa’s estimate had about a 4.9% error.

D.
Justin’s estimate had a –9% percent error.
Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0
Pecent error is the percent difference between the expected and experimental values. We need to compute for the percent error of the three fans' esitmates as follows: Lisa: [(102 - 97)/ 102] x 100% = 0.049 x 100% = 4.9% Justin: [(102 - 93)/ 102] x 100% = 0.088 x 100% = 8.8% Mohammed: [|(102 - 105)| / 102] x 100% = 0.029 x 100% = 2.9% From these results, we can conclude that i. Mohammed had the lowest percent error. ii. Lisa's estimate has approximately 4.9% Therefore, the statements that we true are B and C<span>.</span>
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What similarity statement can you write relating the three triangles in the diagram? Select one: a. ∆WUT ∼ ∆VUW ∼ ∆WVT b. ∆TWV ∼
natta225 [31]

Answer:

d. ∆UVW ∼ ∆UWT ∼ ∆WVT

Step-by-step explanation:

Two triangles are similar if the corresponding angle are congruent and if the ratio of the corresponding sides are proportional.  

The logic is in three scenarios. The Cases that lead to similarities in a triangle can be expressed as follows

i. If two sides of a triangle  are in the same ratio to the corresponding side of another triangle and the included angle are the same.

ii. If the three corresponding sides are in the same ratio then the triangles are  similar.

iii. Also if the angles are of a triangle is congruent to the corresponding angles of another triangles they are  similar.

6 0
3 years ago
The accompanying data represent the daily​ (for example, Monday to​ Tuesday) movement of Johnson​ &amp; Johnson​ (JNJ) stock for
egoroff_w [7]

Supposing that the stock increases in 37 days, the 95% confidence interval for the proportion of days JMJ stock increases is: (0.484, 0.7292)

  • The lower bound is of 0.484.
  • The upper bound is of 0.7292.
  • The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

Supposing that it increases on 37 out of 61 days:

n = 61, \pi = \frac{37}{61} = 0.6066

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 - 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.484

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 + 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.7292

The ​95% confidence interval for the proportion of days JMJ stock increases is (0.484, 0.7292), in which 0.484 is the lower bound and 0.7292 is the upper bound.

The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

A similar problem is given at brainly.com/question/16807970

4 0
2 years ago
What is the unknown value representing the unit rate
andreev551 [17]

unknown value of what mate

4 0
3 years ago
If the x is the number, how would you represent 9 more than the number
Roman55 [17]

Answer:

x = x+9

Step-by-step explanation:

well that is the only way you can do it as we do not know about what x is. also, if you meant by x + (x*9), you can represent that as x*10

8 0
3 years ago
Need help lol
GaryK [48]

We need to read the graph to see which are the two quantities related and how these are related.

The two quantities on the graph are:

  • Distance from Elena's house
  • Time.

Such that the <u>distance from Elena's house is a function of the time.</u>

<h3>How to read the graph?</h3>

We need to only read graph A, notice that she is coming back from school and going home, the graph starts at a high value and ends at zero. So we can assume that the vertical <u>zero represents her home.</u>

We know two events, first, she goes home and needs to come back to search for something, this is represented with the first "inverted peak" of graph A, then we have a constant line, that represents the time she is in the school looking something in her locker.

Then she goes home again, this time she finds a friend and goes to the library (this is why the line goes up again) and then she stops at the library for some time (this is why the line is horizontal for some time). Finally, she goes home, represented by the last segment of the line that intercepts the horizontal axis.

Then the two things represented in the graph are:

Distance from Elena's house (in the vertical axis) and time (in the horizontal axis).

This means that the <u>distance from Elena's house is a function of time.</u>

(The quantity in the vertical axis is a function of the quantity in the horizontal axis).

If you want to learn more about graphs, you can read:

brainly.com/question/4025726

4 0
3 years ago
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