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lora16 [44]
3 years ago
11

Christopher bought a new watch at the store when they were having a 20\%20% off sale. If the regular price of the watch was \$48

$48, how much did Christopher pay with the discount? \$\
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

38.4

Step-by-step explanation:

48*20%=9.6 48-9.6=38.4

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What is 3 tenths greater than 80%
elena-14-01-66 [18.8K]

we know that


3 tenths is equal to

\frac{3}{10} =0.30


80% is equal to

\frac{80}{100} =0.80

so


3 tenths greater than80% is equal to add

0.30+0.80=1.10

therefore


the answer is

1.10

6 0
3 years ago
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The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste
Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, n_1 = 46

Sample size of group 2, n_2 = 57

Number of Yes in group 1,  X_1 = 32

Number of Yes in group 2, X_2 = 47

Proportion of Yes in group 1:

\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957

Proportion of Yes in group 2:

\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246

Null Hypothesis, H_0: p_1 = p_2

Alternate Hypothesis,H_a: p_1 \neq p_2

\hat{p} = \frac{X_1 + X_2}{n_1 + n_2}  \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767

Significance level,

Calculate the test statistic

z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1}  + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0
2 years ago
Lai ales<br> What is the quotient?<br> +<br> 2y2 - 6y-20<br> 4y+12<br> y2 +5y+<br> 3y2 + 18y+27
vesna_86 [32]

Answer:

here are two possible solutions

Step-by-step explanation:

6 0
3 years ago
How are operations with variables like operations with real numbers?
amid [387]

Answer:

The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.

6 0
3 years ago
If a cone has a radius of 2 cm and a height of 10 cm, what is the volume?
BARSIC [14]

Answer:

41.89

explanation:

the formula for finding the volume of a cone would be pi x r^2 x h/3;

3.14 x 4 x 3.33333333, which equals 41.89.

hope that helps :)

5 0
3 years ago
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