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2 years ago

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 2, and 5 are green, and the sides numbered 3, 4,

Mathematics

1 answer:

Katarina [22]2 years ago

8 0

Answer:

5/6

Step-by-step explanation:

The sides numbered 1,2,5 are green and 2,4,6 are even

We cannot count the 2 twice, so there are 5 unique possibilities of getting either a green or an even

There are 6 total possibilities when rolling the die 1,2,3,4,5,6

P (green or even) = green or even/ total

= 5/6

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The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicu

Sphinxa [80]

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

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2 years ago

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Viefleur [7K]

Answer:

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Step-by-step explanation:

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2 years ago

Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.

IRINA_888 [86]

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

8 0

2 years ago

Read 2 more answers

An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo

Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = $\sqrt{A^{2} + B^{2} -2AB cos(c) }$

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = $\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }$

C = $\sqrt{250000 + 90000 - [215000 cos(60) }]$

C = $\sqrt{340000 - [215000 * 0.5 }]$

C = $\sqrt{340000 - [107500 }]$

C = $\sqrt{232500}$

C = 482 km

The bearing can be gotten by using the Sine Rule.

$\frac{sina}{A}$ = $\frac{sinc}{C}$

sina/500 = sin60/482

482 sina = 500 sin60

sina = $\frac{500 sin60}{482}$

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0

2 years ago

A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher a

erica [24]

Answer:

z=-1.591

Step-by-step explanation:

Null Hypotheses,

$H_0 : p=0.8\\H_a: p>0.80$

So we use z-test for one population proportion (right-tailed test)

According to this informaton, we defined that

$\alpha=0.05$

$z_c=1.64$ (critical value)

So our Rejection region is $R={z:z>1.64}$

$z=\frac{\bar{p}-p_0}{\sqrt{p_0(1-p_0)/n}} = \frac{0.755-0.8}{\sqrt{0.8(1-0.8)/200}}=-1.591$

Not rejection.

6 0

2 years ago