A company manufactures glass paperweights in the shape of square base pyramids. The

6x+9y=15 -12x-18y=-30 Solve system by elimination Giving 10,pts

larisa [96]

Answer:

dssfgffdddfggrrghygfdedfhyjjujtg

7 0

3 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

3 years ago

Which expression can be used to find the area of the square? Question 4 options: 2(6.4+6.4) 6.4² 6.4×2 2(6.4×6.4)

Nimfa-mama [501]

Option 2 => 6.4^2
Because area of a square = side *side or side^2
Hope this helps u..!!!

6 0

3 years ago

Do the ratios form a proportion? Explain how you arrived at your answer. 9/6 and 156/104

sattari [20]

9:6,9/6, 9x6 156/104 , 156:104 , 156x104 because there the same thing but different signs

8 0

3 years ago

Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother. How many pounds of grapes does Sien

miskamm [114]

The pounds of grapes left with seinna is 3.125 or $\frac{25}{8}$ pounds

<h3>Solution:</h3>

Given that Sienna has $5\frac{3}{4}$ pounds of grapes

She eats $\frac{1}{8}$ pound and gives $2\frac{1}{2}$ pounds to her brother

To find: pounds of grapes left with seinna

We can find the pounds of grapes left with seinna by subtracting the pounds of grapes she ate and pounds of grapes she gave to brother from the total pounds of grapes she had

Pounds of grapes left with seinna = total pounds of grapes - pounds of grapes she ate - pounds of grapes she gave to brother

$\text {total pounds of grapes }=5 \frac{3}{4}=\frac{4 \times 5+3}{4}=\frac{23}{4}$

$\text {pounds of grapes she ate }=\frac{1}{8}$

$\text {pounds of grapes she gave to brother }=2 \frac{1}{2}=\frac{2 \times 2+1}{2}=\frac{5}{2}$

Substituting the values we get,

$\text {Pounds of grapes left with seinna }=\frac{23}{4}-\frac{1}{8}-\frac{5}{2}$

$\text { Pounds of grapes left with seinna }=5.75-0.125-2.5=3.125$

Thus the pounds of grapes left with seinna is 3.125 or $\frac{25}{8}$ pounds

5 0

3 years ago