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Anon25 [30]
2 years ago
9

The pet has 20 guinea pigs and plans to put a pair of guinea pigs in each cage. If the pet store has 8 cages how many more cages

will the pet store need?
Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

2 more cages

Step-by-step explanation:

A pair of guinea pigs means , 2 guinea pigs per cage

If the pet store has 8 cages how many more cages will the pet store need?

For 8 cages

1 cage = 2 guinea pigs

8 cages = x

Cross Multiply

x = 8 × 2 guinea pigs

x = 16 guinea pigs

The pet store has 20 guinea pigs

The amount of guinea pigs left

= 20 - 16

= 4 guinea pigs

2 guinea pigs = 1 cage

4 guinea pigs = x

Cross Multiply.

2x = 4

x = 4/2

x = 2 cages

Therefore, the pet store needs 2 more cages

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The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years
inn [45]

Answer:

b. The null and alternative hypothesis are:

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

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

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

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

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

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

M_d=M_1-M_2=45.3-34.1=11.2

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{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>5.42)=0.0000002

As the P-value (0.0000002) 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 the mean life spans in the county is significantly different for whites and nonwhites.

4 0
3 years ago
Five athlete are entered into a competition. Four of the athlete have had their turns. Their scores are 9.8 seconds, 9.75 second
Naddika [18.5K]
What is the fourth persons time and, with these numbers it should be anything lower than 9.75.
3 0
3 years ago
7.
patriot [66]

Answer:

C

Step-by-step explanation:

Square root of 92 is 9.591663047

so round that to 9.59

5 0
3 years ago
H e e e e l l l ppppp
astra-53 [7]

Answer: C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
2x+4y=16 what is the slope intercept form
Eva8 [605]
Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.
3 0
3 years ago
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