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1 year ago

O Mr. Math S. Fun is looking for his missing pair of

Mathematics

1 answer:

dalvyx [7]1 year ago

3 0

Answer:

1/3

Step-by-step explanation:

add all of the totals including the missing pair

we now have 24

7+1 is 8

24 minus 8 is 16

24 can be split into 2 groups of 8

and we have 2/3 left. which makes our solution 1/3

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Miguel recently sold some farmland and bought a new plot that consists of 968 acres. Miguel calculates that this is 20% less acr

Delicious77 [7]

Answer:

1210 acres

Step-by-step explanation:

Given data

let the old farmland be x acres

new farmland = 968 acres

therefore

let us find 20% of the old farmland

=20/100x

=0.2x

Hence

968+0.2x=x

collect like terms

968=x-0.2x

968=0.8x

x= 968/0.8

x=1210 acres

6 0

2 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

3 years ago

1. h(2) + g(2) *<br> h(t) = 3-5<br> g(t) = 2t - 5

kap26 [50]

Answer:

h(2)+g(2) = -3

Step-by-step explanation:

$h(2) +g(2)\\ \\h(t) = 3-5, g(t) = 2t -5$

Replace the variable (t) with (

2) in the expression.

h (2) = 3 - 5

Replace the variable (t) with (

2) in the expression.

g(2) = 2(2) -5

Replace the function designators in h(2) +g(2) with the actual functions.

h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)

Remove parentheses.

3 - 5 + 2(2)

Multiply 2 by 2

3 - 5 + 4 - 5

Subtract 5 from 3

-2 + 4 - 5

Add -2 and 4

2 - 5

Subtract 5 from 2

-3

7 0

3 years ago

Plz help advanced calculus

love history [14]

Answer:

I wanna say that its K. Sin 2x

If i'm wrong i'm so sorry

Hope i helped you in some way

6 0

2 years ago

Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location

Gennadij [26K]

First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First, $\frac{7 \pi }{4} * \frac{180}{ \pi }=315$ . If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that $\frac{13 \pi }{6} * \frac{180}{ \pi } =390$ . Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.

3 0

3 years ago