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3 years ago

9

I don’t know how to solve this

1 answer:

g100num [7]3 years ago

6 0

The two equations graphs intersect and the points where they are touching are belonging to both graphs therefore solutions for both equations.

(2) points (x,y) are
(-1,0) (-1)^2. +0^2=1; 1=1 ✔️
0=-1+1; 0=0✔️
(0, 1). (0)^2. +1^2=1; 1=1 ✔️
1=0+1; 1=1 ✔️

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the teacher of a senior class needs to choose 4 members of the class to represent the school. if there are 10 seniors in the cla

3241004551 [841]

There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>

6 0

4 years ago

In a Gatorade package there is 3 blue, 5 white, and 3 red, and 4 purple. What is the possibility of grabbing a white Gatorade?

nasty-shy [4]

Answer:

1/5

Step-by-step explanation:

Given data

Sample space

3 blue

5 white

3 red

4 purple

Sample size

=3+5+3+4

=15

Hence the probability/possibility of grabbing a white Gatorade is

=3/15

=1/5

3 0

3 years ago

Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.

maxonik [38]

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

$H_o : p_1 =p_2$

The altenative is:

$H_a : p_1 \ne p_2$

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

$\hat p_1 = \dfrac{44}{66}$

$\hat p_1 = 0.6667$

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

$\hat p_2 = \dfrac{18}{46}$

$\hat p_2 = 0.3913$

The pooled proportion $p = \dfrac{18+44}{66+46}$

$p = \dfrac{62}{112}$

p = 0.55357

The estimated standard error S.E is:

$= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}$

= $\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}$

$=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}$

$=\sqrt{ 0.00911638798}$

= 0.0955

The Z test statitics can now be computed as:

$Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}$

$Z = \dfrac{0.6667 -0.3913}{0.0955}$

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant difference between the proportions.

5 0

3 years ago

Square efgh has been reflected across the x axis and then reflected across the y axis which of the following transformations wou

tigry1 [53]

An 180-degreee rotation would return the square to its original position.

6 0

3 years ago

Read 2 more answers

Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if s

lilavasa [31]

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

6 0

3 years ago