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3 years ago

Arnold bought 2 3/4 yards of string. He needs to cut it into pieces 1/4 yard lang. How many nieces can he get?

Mathematics

1 answer:

dsp733 years ago

8 0

Answer:

Step-by-step explanation:

convert the mixed number into an improper fraction

2¾ = 11/4

(2¾)÷(¼) = (11/4)÷(¼) = (11/4) × (4/1) = 11

11 pieces

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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

3 years ago

PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE

prisoha [69]

Answer:

6 : 1

Step-by-step explanation:

b - 3a / 9 = a /3

Cross multiply

3(b - 3a) = 9a

Expand

3b - 9a = 9a

Add 9a to both sides

3b = 9a + 9a

3b = 18a

Divide both sides by 3

b = 6a

Ratio of a : b

6 : 1

6 0

3 years ago

Wut is greater 2/4 or 3/8

hodyreva [135]

Answer:

2/4 or 1/2

Step-by-step explanation:

2/4 or 1/2 is the greater fraction.

8 0

3 years ago

Read 2 more answers

-6(y + 15) = -3y + 6<br> What value of y makes the equation true? Enter the answer in the box.

STatiana [176]

Answer:

y = −32

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

3 years ago

Eric and Stephanie took their younger sister Melissa to pick apples. Eric picked 4 times as many apples as

vodka [1.7K]

Answer:

Melissa picked 16 apples

Step-by-step explanation:

(Eric and Stephanie) 160 divided by 10 (I put ten because I add 6 and 4)

Which will equal 16.

Hope this helps ~~~~ :)

4 0

4 years ago

Read 2 more answers