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Elena L [17]
3 years ago
7

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment

include
490

peas with

94

of them having yellow pods. Find the value of the test statistic.
Mathematics
1 answer:
AnnZ [28]3 years ago
6 0

p = 0.25

q = 1 - p = 0.75

x = 82

n = 400

psample = x/n = 82/400 = 0.205

test statistic, z = (psample - p) / sqrt(pq/n) = (0.205 - 0.25) / sqrt(0.25×0.75/400) = -2.078

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Which function has a vertex at (2, –9)?
Ivahew [28]
The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.

we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

\bf \stackrel{f(x)}{0}=(x-5)(x+1)
\\\\\\
0=x-5\implies \boxed{5=x}\qquad \qquad \qquad \qquad 0=x+1\implies \boxed{-1=x}

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.

-1----0----1----  2  ----3-----4------5

well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?

y = (x - 5)(x + 1)

y = (2 - 5)(2 + 1)

y = (-3)(3)

y = -9
3 0
3 years ago
Read 2 more answers
Trudy bought a $20 prepaid long distance phone card. for every minute that she talks, $0.25 is deducted from her card. The funct
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Given the function f(m)=20-0.25m to represent the amount of money f(m) she has left after talking m minutes, the zero of the equation can be gotten by setting f(m) to 0

f(m)=20-0.25m

0 =20-0.25m

-20 = -0.25m

m = -20/-0.25

m = 80

Hence Trudy will have talked for 80minutes if she has no money left

3 0
3 years ago
Please help me with number ten and twelve
jasenka [17]

Answer: 93,\ 34^{\circ}

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15

\Rightarrow PQ=8x-27\\\Rightarrow PQ=93

For figure (ii)

Two triangles WXZ and WZY are congruent

\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}

5 0
2 years ago
Two random samples were done to determine how often people in a community go to the dentist. the first sample surveyed 10 people
uysha [10]
The answer of all of this is 18 because 18.1 months so if you do the math you get 18-7x+20^2
5 0
2 years ago
Which equation represents the volume of a cone with the same base and height as the cylinder below?
Firdavs [7]

Answer:

Volume of cone = (1/3) * Volume of cylinder

Step-by-step explanation:

Use the formulas

Volume of cone = (1/3)* π r^2 *h

Volume of cylinder =  π r^2 *h

Therefore

Volume of cone = (1/3) * Volume of cylinder

7 0
3 years ago
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