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2 years ago

PLEASE HELP QUICK! 20 POINts AND CORRECT

Mathematics

2 answers:

DaniilM [7]2 years ago

5 0

We can conclude that Collin will have £3691.41 in his account after 10 years.

ahrayia [7]2 years ago

4 0

Answer:

Collin will have 3691

Step-by-step explanation:

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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

2 years ago

Help please, and explain.

Korvikt [17]

Answer: 2x + y

<u>Step-by-step explanation:</u>

logₐ(3) = x

logₐ(5) = y

logₐ(45) = logₐ(3²· 5)

= logₐ(3)² + logₐ(5)

= 2 logₐ(3) + logₐ(5)

= 2 x + y <em>substituted given values (stated above)</em>

4 0

3 years ago

Read 2 more answers

Please Help I will reward Brainliest answer in centimeters

expeople1 [14]

8.4 inches

Explanation : The big line in the middle of 8 and 9 is equal to 8.5, but since there is a small unit that is missing, the answer is 8.4.

3 0

3 years ago

A six-sided fair dle is rolled 4 times in a row. The probability of getting a 4 only on the last trial is ______

4vir4ik [10]

Answer:

1/6

Step-by-step explanation:

No. Of faces contains 4=1

Total no. Of faces=6

Probablity = favourable no. of outcomes/Total no. of outcomes

PLEASE GIVE BRAINLIEST

4 0

3 years ago

Help pl pls pls pls pls

Svetllana [295]

Answer:

they are both a function

Step-by-step explanation:

because i did this back in 8th grade

8 0

2 years ago