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3 years ago

Original price of concert tickets: $100.00 Discount: 21% - What is the sale price

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

The sale price is 79 dollars :P

Step-by-step explanation:

uhhh just subract 100 - 21 and yea you should get 79. :)

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What is the next term of the following sequence? 20, 10, 5, 21/2, ...

ycow [4]

Answer:

1 $\frac{1}{4}$

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2 $\frac{1}{2}$ ÷ 5 = $\frac{1}{2}$

Thus to obtain the next term in the sequence multiply the previous term by $\frac{1}{2}$

2 $\frac{1}{2}$ × $\frac{1}{2}$ = 1 $\frac{1}{4}$

6 0

3 years ago

Carmen deposited $6,000 into a savings account that earns 2.8% interest compounded annually. How much will she have in her accou

Anna [14]

To help Carmen find the total after 3 years

We'll have to use the annual compound interest formula: A = P(1 + r)ⁿ

A = Final balance (?)

P = Principal balance (6000)

r = Rate (0.028)

n = years (3)

A = 6000(1 + 0.028)³

A = 6000(1.028)³

A = 6000(1.086373952)

A = 6518.243712

Round that to the nearest cent, and we get $6,518.24 as the answer.

6 0

3 years ago

The following data comparing wait times at two rides at Disney are listed below: Position Pirates Splash Mountain Sample Size 32

myrzilka [38]

Answer:

a) $(14.68 -18.77) - 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =-12.968$

$(14.68 -18.77) + 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =4.788$

b) $t=\frac{14.68-18.77}{\sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}}}}=-1.10$

Step-by-step explanation:

Data given and notation

$\bar X_{A}=14.68$ represent the mean for Pirates

$\bar X_{B}=18.77$ represent the mean for Splash Mountain

$s_{A}=11.87$ represent the sample standard deviation for the sample Pirates

$s_{B}=16.79$ represent the sample standard deviation for the sample Slpash Mountain

$n_{A}=32$ sample size selected for Pirates

$n_{B}=30$ sample size selected for Splash Mountain

$\alpha=0.02$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a

The confidence interval would be given by:

$(\bar X_A -\bar X_B) \pm t_{\alpha/2} \sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}$

The degrees of freedom are given by:

$df = n_A +n_B -2 = 32+30-2 = 60$

Since we want 98% of confidence the significance level is $\alpha =1-0.98 =0.02$ and $\alpha/2 =0.01$ , we can find in the t distribution with df =60 a critical value that accumulates 0.01 of the area on each tail and we got:

$t_{\alpha/2}= 2.39$

And replacing we got for the confidence interval:

$(14.68 -18.77) - 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =-12.968$

$(14.68 -18.77) + 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =4.788$

Part b

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the means are equal, the system of hypothesis would be:

Null hypothesis: $\mu_{A} = \mu_{B}$

Alternative hypothesis: $\mu_{A} \neq \mu_{B}$

the statistic is given by:

$t=\frac{\bar X_{A}-\bar X_{B}}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{14.68-18.77}{\sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}}}}=-1.10$

6 0

3 years ago

Determine whether the given value is a discrete or continuous variable. People are asked to state how many times in the last mon

seraphim [82]

Answer:

The given value is discrete variable.

Step-by-step explanation:

Discrete Variable:

Discrete Variable are those variables that can only take on a finite number of values are called "discrete variables." All qualitative variables are discrete. Some quantitative variables are discrete, such as performance rated as 1,2,3,4, or 5, or temperature rounded to the nearest degree.

Here They have visited the doctor many times so it will be a whole number for sure.

6 0

4 years ago

3. What is slope of the line above? 4. What is slope of the line above? help!

Olin [163]

The answer is

3.) -1/2
4.) 4/3

3 0

3 years ago