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2 years ago

15

Is 16g + 10 - 4g and 20g + 10 equivalent

1 answer:

-Dominant- [34]2 years ago

6 0

No 16g-4g+10 = 12g+ 10

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Which expression is equivalent to |a|≤5 ?

sladkih [1.3K]

Answer:

I think its the first one but not 100 % sure

Step-by-step explanation:

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2 years ago

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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

Solve each proportion.<br> 2/4=4/p-3<br>pls help

eduard

Answer:

$p=\frac{8}{7}$

Step-by-step explanation:

$\frac{2}{4} = \frac{4}{p} - 3$

$\frac{1}{2} = \frac{4}{p} - 3$ (simplify)

$\frac{1}{2}+3 = \frac{4}{p} - 3+3$

$\frac{1}{2}+3 = \frac{4}{p}$ (Add 3 to both sides)

$\frac{7}{2}= \frac{4}{p}$ (simplify)

$\frac{7}{2}p= \frac{4}{p}*p$

$\frac{7p}{2}=4$ (Multiply both sides by p)

$\frac{7p}{2}*2=4*2$

$7p=8$ (Multiply both sides by 2)

$\frac{7p}{7}=\frac{8}{7}$

$p=\frac{8}{7}$ (Divide both sides by 7)

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2 years ago

find two consecutive odd integers such as 65 more than the lesser is four times the greater. The lesser consecutive odd integer

Alex_Xolod [135]

Answer: Lesser = 19, Greater = 21

See picture reply.

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3 years ago

Meg scored 45, 48, and 56 points on three tests. How many points should she get on the fourth test to get an average score of 60

Diano4ka-milaya [45]

Hey it’s 91 have a great day

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2 years ago

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