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juin [17]
3 years ago
6

Which graph does not represent a function of x?

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0
Graph J is NOT a function of X.
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A man invested ksh. 36000 in two companies P and Q . Company P pays a dividend of 11.25% while Q pays a dividend of 10.5%. Is fr
IrinaK [193]

Answer:

Investment in company P = 12,000

Investment in company Q = 24,000

Step-by-step explanation:

Given that,

Total investment = 36,000

Dividend paid by company P = 11.25%

Dividend paid by company Q = 10.5%

Total return = 10.75%

Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,

A.T.Q.

a + b = 36,000  ...(i)

11.25% of a + 10.5% of b = 10.75% of 36000  ...(ii)

On simplification,

a + b = 36,000

11.25% of a + 10.5% of b = 3870

Now,

11.25% of a + 10.5% of (36000 - a) = 3870

⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870

⇒ 0.1125 a + 3780 - 0.105a = 3870

⇒ 0.1125a - 0.105 a - 3870 - 3780

⇒ 0.0075 a = 90

⇒ a = 90/0.0075

∵ a = 12000

Since, a = P = 12,000

Q = b = (36000 - a)

= 36000 - 12000

= 24,000

Thus,

Investment in company P = 12,000

Investment in company Q = 24,000

3 0
3 years ago
Read 2 more answers
Solve the following equation 5x-102=13
Alex787 [66]
<span>5x-102=13
Add 102 to both sides
5x=115
Divide 5 on both sides
Final Answer: x=23</span>
4 0
3 years ago
A men’s softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the e
vodomira [7]

Answer:

Yes. There is enough evidence to support the claim that there are fewer errors on average when the yellow ball is used.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The sample data is:</em>

Yellow 5 2 6 7 2 5 3 8 4 9

White 7 6 8 5 9 11 8 3 6 10

This is a hypothesis test for the difference between populations means.

The claim is that there are fewer errors on average when the yellow ball is used.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0

The significance level is α=0.05.

The sample 1 (yellow ball errors), of size n1=10 has a mean of 5.1 and a standard deviation of 2.42.

The sample 2 (white balls errors), of size n2=10 has a mean of 7.3 and a standard deviation of 2.41.

The difference between sample means is Md=-2.2.

M_d=M_1-M_2=5.1-7.3=-2.2

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{2.42^2+2.41^2}{10}}\\\\\\s_{M_d}=\sqrt{\dfrac{11.665}{10}}=\sqrt{1.166}=1.08

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-2.2-0}{1.08}=\dfrac{-2.2}{1.08}=-2.037

The degrees of freedom for this test are:

df=n_1+n_2-1=10+10-2=18

This test is a left-tailed test, with 18 degrees of freedom and t=-2.037, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.028) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there are fewer errors on average when the yellow ball is used.

3 0
4 years ago
PLEASE HELP ASAP!!!!!!!!!!
aliya0001 [1]

From the figure attached with this answer have octagon ABCDEFGH.


We can make a cut to create a plane section in the following shapes:


1. Rectangle


Here  ADEH form a rectangle. To make rectangle we take ADEH


2. Octagon


For getting Octagon just cut ABCDEFGH form octagon


3. Triangle


To get triangle cut opposite diagonals. From the figure we can see AOB,BOC,COD,DOE,EOF,FOG,GOH and HOA are triangles.


4. Trapezoid


To get trapezoid ABCD form trapezoid and EFGH form another trapezoid

4 0
4 years ago
The diameter of a circular garden is 18 feet. What is the approximate area of the garden?
nlexa [21]
Area of a circle = πr²

Radius = 18/2 = 9

A = (3.14)(9)²
A = 254.34

Hope this helps :)
4 0
3 years ago
Read 2 more answers
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