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BartSMP [9]
3 years ago
15

Sharon just bought a tank for her fish. How can you find the capacity of the tank?Explain

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
Hi there!

The capacity of a tank (or any rectangular prism) is always length × width × depth.

Hope this helps!
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3/7 is reduced to what lowest term?
sweet [91]
It can't be simplified, it is already in its lowest term
5 0
3 years ago
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Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whethe
s2008m [1.1K]

Answer:

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (P-value = 0.01537).

Step-by-step explanation:

<em>The question is incomplete: the picture attached gives the missing sample data.</em>

This is a hypothesis test for the difference between proportions.

The claim that is going to be stated in the alternative hypothesis is that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent. This means that the proportions differ significantly.

Then, the null and alternative hypothesis can be written as:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1 (Male celebrity), of size n1=150 has a proportion of p1=0.273.

p_1=X_1/n_1=41/150=0.273

The sample 2 (Female celebrity), of size n2=150 has a proportion of p2=0.407.

p_2=X_2/n_2=61/150=0.407

The difference between proportions is (p1-p2)=-0.133.

p_d=p_1-p_2=0.273-0.407=-0.133

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{41+61.05}{150+150}=\dfrac{102}{300}=0.34

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

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.34*0.66}{150}+\dfrac{0.34*0.66}{150}}\\\\\\s_{p1-p2}=\sqrt{0.001496+0.001496}=\sqrt{0.002992}=0.055

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.133-0}{0.055}=\dfrac{-0.133}{0.055}=-2.44

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z

As the P-value (0.01537) 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 proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (the proportions differ).

6 0
3 years ago
Help me please thank youuuuu ^_^
OverLord2011 [107]

Answer:

x = 6

Step-by-step explanation:

2x - 3 = 9

so 9+3 = 12, and 12÷2 = 6

the value of x is 6

5 0
2 years ago
Find the distance between A(6,-3) and C(5,1).​
Bas_tet [7]

Answer:

766

Step-by-step explanation:

no step by step explanation

3 0
2 years ago
Sam drove 6 1/2 hours on Saturday and 8 2/3 hours on Sunday. How much longer was his drive on Sunday than on Saturday?
Schach [20]
Based on the phrase "how much longer" this is going to be a subtraction problem
8 2/3 - 6 1/2
Steps:
1. Find the least common denominator. Both 3 and 2 have a multiple of 6
2. Multiply 2/3 by 2 (numerator and denominator) and 1/2 by 3 to get an overall denominator of 6
8 4/6 - 6 3/6
3. Now you can do basic subtraction. Subtract the whole numbers
           8-6= 2
 4. subtract the numerators
        4-3=1
Answer is 2 1/6
5 0
2 years ago
Read 2 more answers
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