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slavikrds
6 days ago
9

A golf association sets performance standards for golf balls. For​ example, the initial velocity of the ball may not exceed 250

feet per second when measured by an apparatus approved by the association. Suppose a manufacturer introduces a new kind of ball and provides a randomly selected sample of balls for testing. Based on the mean speed in the​ sample, the association comes up with a​ P-value of 0.38. Explain in this context what the 38​% represents. Upper H 0​: equals 250 ​ft/sec Upper H Subscript Upper A​: greater than 250 ​ft/sec
Mathematics
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At a hot air ballon festival, Erica spots a red ballon due east at an angle of elevation of 36 degrees. She turns due west and s
Zina [12379]

Answer:

Step-by-step explanation:

Information provided

The eastern balloon makes an elevation angle of 36^{\circ} and is positioned at a height of 461 m.

The western balloon creates an elevation angle of 51^{\circ} and is positioned at a height of 296 m.

Considering that Erica is 1.6 m tall, the effective height of the Red balloon becomes 459.4 m,

while the effective height of the Blue balloon ends up at 294.4 m.

Utilizing trigonometric principles,

\tan 36=\frac{459.4}{d_1}

\tan 51=\frac{294.4}{d_2}

d_1=632.30 m

d_2=238.4 m

Now calculating the distance separating the two Balloons,

d=d_1+d_2

d=870.70 m

7 0
3 months ago
There are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in
zzz [12365]

Answer:

a. 80 students

b. 92 students

Step-by-step explanation:

Designate arts students as A and dance students as D.

Thus, we have,[['[TAG_14]]

n(A) = 35

n(D) = 57

Required

To determine n(A or D)

For (a):

We find that:

n(A and D) = 12

The calculation for n(A or D) is as follows:

n(A or D) = n(A) + n(D) - n(A and D)

n(A or D) = 35 + 57 - 12

n(A or D) = 80

b. Given the details

n(A and D) = 0 since no students are enrolled in both classes as indicated in (a)

Using the same formula as in (a).

n(A or D) = n(A) + n(D) - n(A and D)

n(A or D) = 35 + 57 - 0

n(A or D) = 92

8 0
3 months ago
En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están nume
lawyer [12517]

Respuesta:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Explicación paso a paso:

Para identificar las brocas existen dos aspectos a considerar:

1.- Las fracciones que comparten el mismo denominador aumentan en orden ascendente a medida que los numeradores incrementan, lo que significa que entre

9/16   3/16    7/16     5/16   11/16    el orden sería (de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Fracciones con diferentes denominadores pueden convertirse a un denominador común /16 multiplicando la fracción, por ejemplo

1/4   =  1*4/4*4   =  4/16

Aplicando este método, todas las fracciones se transforman al formato mencionado previamente y se organizan

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Por lo tanto, hay diez brocas, comenzando con 1/16 hasta la número 12 que es 12/16

Finalmente, el orden sería:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

4 0
3 months ago
Joan conducted a study to see how common binge drinking is on her college campus. She defined "frequent binge drinking" as havin
tester [12383]
z = -1.66. The Z-statistic is calculated as follows. Here X signifies the obtained proportion. p stands for the mean proportion. The formula includes the standard error for the sample. From a total of 593 surveyed students, 64 met the criteria described. Thus, if the national percentage of binge drinkers is 13.1%, she has found the proportion in her data. The resulting z statistic for the dataset is derived accordingly.
6 0
2 months ago
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