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Tcecarenko [31]
3 years ago
9

Female athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67% (Source: Chronicle of Higher Edu

cation). Over the past several years, a random sample of 38 female athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of female athletes who graduate from the University of Colorado, Boulder, is now less than 67% ?Use a 5% level of signicance.
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.

Step-by-step explanation:

We need to find p-value first:

z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]

p⁻ = X / n = 21 / 38 = 0.5526316

the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67% 

H1: p < 0.67 

z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575

z = -1.538681 

using a p-value calculator for  z = -1.538681, confidence level of 5%

p-value = .062024, not significant

Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.

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Masja [62]

Based on the given graph, the time when the softball reaches its maximum height is about 1.8 seconds.

<h3>When is the softball at it highest?</h3>

The softball is at its maximum height at the point where the curve begins to go back down.

This means the maximum height is 50 feet.

The time when this softball reaches this height is between 1 and 2 seconds at 0.8.

The time the softball reaches its maximum height is therefore 1.8 seconds.

Find out more on maximum height at brainly.com/question/23144757

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7 0
1 year ago
HELP DUE IN 10 MINS!<br><br> x =??
Black_prince [1.1K]

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

(x + 7) (7) = (15 + 6) (6)

7x + 49 = (21) (6)

7x + 49 = 126

7x = 77

x = 11

Hope this helps!

3 0
3 years ago
Read 2 more answers
Hey, try this one out guys.
MrRissso [65]

Answer:

879cm

Step-by-step explanation:

Radius is 35cm.

Diameter is 70cm.

Pie/Pi is 3.14 and so on.

Perimeter of circle:70×3.14=219.8

219.8×4=879.2

Round Off:879.2cm

6 0
3 years ago
What is the rule for the following sequence of numbers: 2, 7, 17, 37, ?
Lorico [155]

Answer:

The rule is "add 5, add 10, add 20" and the rule keeps doubling.

4 0
2 years ago
Please help me with these problems
S_A_V [24]

Answer:

1.a=2

2.  C  x=2  and x=-3

Step-by-step explanation:

The standard form for the quadratic function is  

ax^2 +bx+c

so  we need to rewrite the function to be in this form

2x^2 -10 = 7x

Subtract 7x from each side

2x^2 -7x-10 = 7x-7x

2x^2 -7x-10 = 0

a =2, b= -7  c=-10


2.  The quadratic formula is

-b ± sqrt(b^2 -4ac)

----------------------------

2a


2x^2 + 2x=12

Lest get the equation in proper form

2x^2 + 2x-12 = 12-12

2x^2 +2x-12 =0

a=2  b=2 c=-12

Lets substitute what we know

-2 ± sqrt(2^2 -4(2)(-12))

----------------------------

2(2)

-2 ± sqrt(4+96)

----------------------------

2(2)

-2 ± sqrt(100)

----------------------------

4

-2 ± 10

----------------------------

4

-2 + 10               -2-10

-----------   and  --------------

4                             4

8/4   and -12/4

2  and -3

8 0
3 years ago
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