Help me please with this

State when the following equations and inequalities will be true and when they will be false 38= 9k

Step2247 [10]

The equation 38 = 9k will be true when k equals 38/9. (Do 38 divided by 9 to get k, k equals 38/9, which can't be simplified any more.)

3 0

4 years ago

The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the

garri49 [273]

Answer:

D. I and III only

Step-by-step explanation:

Number of first fie defects are given as 9,7,10,4 and 6.

First we have to arrange the above data in ascending order which is 4,6,7,9,10

Now if we consider the defect in sixth car to be 3 then our data will look like: 3,4,6,7,9,10

So the mean of above data would be $\frac{3+4+6+7+9+10}{6}$ = 6.5

and Median of the above data would be = $\frac{3^{rd} obs + 4^{th} obs}{2}$ = $\frac{6+7}{2}$ = 6.5

Hence mean and median number of defects are same if the sixth car has 3 defects.

Now if we consider the defect in sixth car to be 12 then our data will look like: 4,6,7,9,10,12

So the mean of above data would be $\frac{4+6+7+9+10+12}{6}$ = 8

and Median of the above data would be = $\frac{3^{rd} obs + 4^{th} obs}{2}$ = $\frac{7+9}{2}$ = 8

Hence mean and median number of defects are same if the sixth car has 12 defects.

But Now if we consider the defect in sixth car to be 7 then our data will look like: 4,6,7,7,9,10

So the mean of above data would be $\frac{4+6+7+7+9+10}{6}$ = 7.167

and Median of the above data would be = $\frac{3^{rd} obs + 4^{th} obs}{2}$ = 7

Hence mean and median number of defects are not same if the sixth car has 7 defects.

Therefore option D is correct.

8 0

3 years ago

Comparing and ordering fractions: 1/2,2/5,6,10<br><br><br> i need to know smallest to greatest

myrzilka [38]

it would be 6/10, then 2/5, and last is 1/2. hope this answered your question.

6 0

3 years ago

Read 2 more answers

Write the equation of the line in slope intercept form

ira [324]

Answer:

y=3x+14

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read:

y=3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,8). When x of the line is -2, y of the line must be 8.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,8).

So, why not plug in for x the number -2 and for y the number 8? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,8). y=mx+b or 8=3 × -2+b, or solving for b: b=8-(3)(-2). b=14.

The equation of the line that passes through the point (-2,8) with a slope of 3

is

y=3x+14

7 0

4 years ago

In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

$P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840$

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0

4 years ago

Help me please with this​

Help me please with this