\dfrac{1}{2} - 60\% - 25\% = 2 1 −60%−25%

A bag has 10 red marbles and 10 yellow marbles. Half of they yellow marbles are made of plastic. A marble is selected at random.

harina [27]

5:20 because there are 10 red marbles and 10 yellow marbles which equals 20 marbles all together and half of the 10 yellow marbles are plastic so 10 divided by 2 = 5
(1:4 if you need it simplified)

3 0

3 years ago

Determine if 0.949449444944449444449 rational or irrational and give a reason for answer.

Kamila [148]

Answer:

irrational if it's more after this number but if it stops at the last 9 then it's a rational number

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago

Each person in random samples of 207 male and 253 female working adults living in a certain town in Canada was asked how long, i

Sergeu [11.5K]

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean daily conmute time for males is significantly bigger than the mean daily conmute time for females (P-value=0.155).

Step-by-step explanation:

The data is:

Males n1=207 M1=31.6 s1=24.0

Females n2=253 M2=29.3 s2=24.3

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

The claim is that the mean daily conmute time for males is significantly bigger than the mean daily conmute time for females.

Then, the null and alternative hypothesis are:

$H_0: \mu_m-\mu_f=0\\\\H_a:\mu_m-\mu_f> 0$

The significance level is 0.05.

The sample 1 (males), of size n1=207 has a mean of 31.6 and a standard deviation of 24.

The sample 2 (females), of size n2=253 has a mean of 29.3 and a standard deviation of 24.3.

The difference between sample means is Md=2.3.

$M_d=M_m-M_f=31.6-29.3=2.3$

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

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{24^2}{207}+\dfrac{24.3^2}{253}}\\\\\\s_{M_d}=\sqrt{2.783+2.334}=\sqrt{5.117}=2.262$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_m-\mu_f)}{s_{M_d}}=\dfrac{2.3-0}{2.262}=\dfrac{2.3}{2.262}=1.017$

The degrees of freedom for this test are:

$df=n_1+n_2-1=207+253-2=458$

This test is a right-tailed test, with 458 degrees of freedom and t=1.017, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>1.017)=0.155$

As the P-value (0.155) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean daily conmute time for males is significantly bigger than the mean daily conmute time for females.

7 0

3 years ago

Somebody please help its due today thank you

BlackZzzverrR [31]

Answer:

approximately 52.752 or 16.8 $\pi$

Step-by-step explanation:

First find the radius

a) we know the diameter so we can use the formula r=d/2 to solve for the radius

b)16.8/2 =8.4

2. Then we substitute into the equation

a)2 $\pi$ r

b)2 $\pi$ (8.4)

c)52.752 or 16.8 $\pi$

4 0

3 years ago

Combine the like terms to create an equivalent expression for -k+3k

Tom [10]

Answer:

2k

Step-by-step explanation:

-k+3k

2k

7 0

3 years ago

\dfrac{1}{2} - 60\% - 25\% = 2 1 ​ −60%−25%

\dfrac{1}{2} - 60\% - 25\% = 2 1 −60%−25%