All categories

3 years ago

Can someone help answer this?

Mathematics

1 answer:

Travka [436]3 years ago

5 0

Answer:

53.14 units

Step-by-step explanation:

Length of arc is given as:

$l = \frac{ \theta}{360 \degree} \times c \\ \\ \therefore \: 12.4 = \frac{84 \degree}{360 \degree} \times c \\ \\ \therefore \: 12.4 = \frac{7}{30} \times c \\ \\ \therefore \: c = \frac{12.4 \times 30}{7} = \frac{372}{7} = 53.1428571 \\ \\ \therefore \: c =53.14 \: units$

You might be interested in

Solve for x 7(x+2) =6(x+5)

Luden [163]

Answer:

Step-by-step explanation:

7x + 14 = 6x + 30

x + 14 = 30

x = 16

6 0

3 years ago

Read 2 more answers

Newborn males have weights with a mean of 3272.8 g and a standard deviation of 660.2 g. Newborn females have weights with a mean

Maksim231197 [3]

The correct option is: a female who weighs 1500 g

Explanation

Formula for finding the z-score is: $z= \frac{X-\mu}{\sigma}$

Newborn males have weights with a mean $(\mu)$ of 3272.8 g and a standard deviation $(\sigma)$ of 660.2 g.

So, the z-score for the newborn male who weighs 1500 g will be.......

$z(X=1500)=\frac{1500-3272.8}{660.2}=-2.685... \approx -2.69$

According to the normal distribution table, $P(z=-2.69)=0.0036 = 0.36\%$

Now, newborn females have weights with a mean $(\mu)$ of 3037.1 g and a standard deviation $(\sigma)$ of 706.3 g.

So, the z-score for the newborn female who weighs 1500 g will be.......

$z(X=1500)=\frac{1500-3037.1}{706.3}=-2.176... \approx -2.18$

According to the normal distribution table, $P(z=-2.18)=0.0146 = 1.46\%$

As we can see that the probability that a newborn female has weight of 1500 g is greater than newborn male, so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.

5 0

3 years ago

The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normaldistribution with a mean of 20 mi

creativ13 [48]

Answer:

95.15%

Step-by-step explanation:

We have that the mean (m) is equal to 20, the standard deviation (sd) 3

They ask us for P (x <25)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (25 - 20) / (3)

z = 1.66

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.66) = 0.9515

Which means that the probability that it arrives before 25 minutes is 95.15%

6 0

3 years ago

The product of a 7 and a number.

Virty [35]

it would look like this: x times 7 -> 7x

8 0

3 years ago

Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r

slega [8]

9514 1404 393

Answer:

y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

When y = x^2 is reflected over the x-axis, it becomes ...

y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

y = -(x +1)^2 +3

7 0

2 years ago