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2 years ago

Just need help on the bottom two!!

Mathematics

1 answer:

Kaylis [27]2 years ago

7 0

For 3. the triangle with 4,4,5 is similar to the one with 8,10 because you can scale it down by 2 or because it is similar in shape
4. X=-3

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The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let µ denote the true average re

Zolol [24]

Answer:

a) $df=n-1=16-1=15$

The statistic calculated is given by t=3.3

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>3.3)=0.0024$

So since the p value is lower than the significance level $pv$ we reject the null hypothesis.

b) $df=n-1=8-1=7$

The statistic calculated is given by t=1.8

Since is a one-side upper test the p value would be:

$p_v =P(t_{7}>1.8)=0.057$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

c) $df=n-1=26-1=25$

The statistic calculated is given by t=-0.6

Since is a one-side upper test the p value would be:

$p_v =P(t_{25}>-0.6)=0.723$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation

$\bar X$ represent the sample mean

$s$ represent the standard deviation for the sample

$n$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 20, the system of hypothesis would be:

Null hypothesis: $\mu \leq 20$

Alternative hypothesis: $\mu > 20$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

(a) n = 16, t = 3.3, a = 0.05, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

The statistic calculated is given by t=3.3

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>3.3)=0.0024$

So since the p value is lower than the significance level $pv$ we reject the null hypothesis.

(b) n = 8, t = 1.8, a = 0.01, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=8-1=7$

The statistic calculated is given by t=1.8

Since is a one-side upper test the p value would be:

$p_v =P(t_{7}>1.8)=0.057$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

(c) n = 26,t = -0.6, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=26-1=25$

The statistic calculated is given by t=-0.6

Since is a one-side upper test the p value would be:

$p_v =P(t_{25}>-0.6)=0.723$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

3 0

3 years ago

For the purpose of purchasing new baseboard andâ€‹ carpet, complete parts a and b below.

Phantasy [73]

Answer:

(a)i. Area=72 square feet

ii. Perimeter =34 feet

(b) Baseboard - perimeter

Carpet - area

Step-by-step explanation:

The room is 9ft x 8ft, therefore it is rectangular shaped.

Length=9ft; Breadth=8ft

(a)i. Area of a Rectangle= Length X Breadth

Area of the room=8X9=72 square feet

ii. Perimeter of a Rectangle=2(Length+Breadth)

Perimeter of the room=2(8+9)=2 X 17 =34 feet

(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter

A carpet covers the entire floor so it has to do with the area of the room.

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2 years ago

Pls help (mathematics)

olga2289 [7]

Answer:

I agree with all of them

Step-by-step explanation:

they are all connected mathematically (I used 3.14 I hope that the right idea)

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2 years ago

Molly works at an aple orchard.she picked 1,078 apples last weekend and put them into bags that hold 12 apples each.how many bag

Crazy boy [7]

She filled 89 bags with 10 apple remaining

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2 years ago

How many different license plates can be produced using 4 digits and 2 letters if the first digit cannot be the number 0 and the

Rainbow [258]

650 letter permutations * 5040 numbers permutations = total licence number possible = 3,276,000

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2 years ago