Area of a rectangle 4/5 ft times 2 ft

john and jack found a coin on the sidewalk. they argued about whether the coin is fair. john claimed a 40% chance for the coin t

expeople1 [14]

Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Here:

we can use 1 sample proportion test to check the claim of John

H₀ : p₀ = 0.4

H₁ : p₀ ≠ 0.4

Test statistic is

z = p - p₀/√p₀(1-p₀)n

Let X be the random variable denoting the number of heads.

Now p = X/n

= 8/50

= 0.16

p₀ = 0.4

1-p₀ = 1-0.4

= 0.6

z = -3.464

since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Learn more about Null hypothesis here:

brainly.com/question/15980493

#SPJ4

6 0

9 months ago

Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If bot

Mnenie [13.5K]

The smaller wheel rolled
.. 4*2πr = 8πr . . . . feet

The larger wheel rolled
.. 4*2π*2r = 16πr . . feet

The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.

6 0

3 years ago

Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr

Oxana [17]

Answer:

18 children

Step-by-step explanation:

Given

$240 = 12x +8y$

Required (missing part of the question):

Number of children that will be able to go to the zoo if 8 adult tickets are purchased

The graph is missing. However, the question can be solved without the graph.

From the question and equation, we can deduce the following:

x represents adults
y represents children

So, when 8 adult tickets were sold.

This means

$x = 8$

Substitute 8 for x in $240 = 12x +8y$

$240= 12 * 8 + 8y$

$240= 96+ 8y$

Subtract 96 from both sides

$240 - 96 = 96 - 96 + 8y$

$144 = 8y$

$8y = 144$

Solve for y

$y= \frac{144}{8}$

$y= 18$

This means that 18 children will be able to go

5 0

2 years ago

What is the standard form of the linear function that passes

babunello [35]

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-3}{-2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4})$

$\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y-1)=2\left( \cfrac{3}{2}(x-4) \right)}\implies 2y-2 = 3(x-4)\implies 2y-2=3x-12 \\\\\\ -3x+2y-2=-12\implies -3x+2y=-10\implies \stackrel{\times -1\textit{ to both sides}}{3x-2y=10}$

7 0

2 years ago

What is the area of the yellow region?

spayn [35]

Answer:

195 sq cm

Step-by-step explanation:

15 x 15 = 225

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

3(8) + 2(3) = 30

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

225 - 30 = 195 sq cm

6 0

2 years ago

Read 2 more answers