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3 years ago

Help no good at maths

Mathematics

1 answer:

lara [203]3 years ago

8 0

We know that all angles of a triangle equal 180 when added together. We have two angle measures which are 3/2x and 1/2x
***3/2x + 1/2x + x = 180 degrees***
For the other way you can switch around the positions of the angles in the equation as long as the = stays 180 so like
X + 3/2x + 1/2x = 180
180 + x + 1/2x + 3/2x
Or maybe change the 3/2x to 1 1/2x

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The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes

Nana76 [90]

Answer:

Original claim is $\mu_{1} =\mu_{2}$

Opposite claim is $\mu_{1} \neq \mu_{2}$

Null and alternative hypotheses:

$H_{0}:\mu_{1} = \mu_{2}$

$H_{1} : \mu_{1} \neq \mu_{2}$

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

$\bar{x_{1}}=70.29$

$Sx1=22.09$

$n_{1} = 30$

$\bar{x_{2}}=74.26$

$Sx2=18.15$

$n_{2} = 32$

$\mu_{1} \neq \mu_{2}$

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

$t=-0.78$

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.

6 0

3 years ago

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s co

Tems11 [23]

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

4 0

3 years ago

What is the volume of a cone-shaped popcorn cup that is 8 inches tall and 6 inches across at the base?

Alina [70]

The volume of cone shaped popcorn cup is 75.36 cubic inches.

According to the given question.

The height of the popcorn cup = 8inches

And the diameter of the cup = 6 inches

⇒ Radius of the popcorn cup = 6/2 = 3 inches

As we know that, the volume of cone is calculated by the formula

volume of cone = (πr^2h)/3

Therefore, the volume of cone shaped popcorn cup

= 3.14((3)^2)(8)/3

= 3.14(3)(8)

= 75.36 cubic inches

Hence, the volume of cone shaped popcorn cup is 75.36 cubic inches.

Find out more information about volume of cone here:

brainly.com/question/23173618

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8 0

2 years ago

-5c+5c+2c–6c–12c-16 16=c

daser333 [38]

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

7 0

3 years ago

Lynette has a metal door stop with the dimension 12cm 6cm 3.5cm each cubic centimeter of the metal in the doorstop has a mads of

vivado [14]

Answer:

volume: 252 cm³
mass: 2167.2 (units not specified)

Step-by-step explanation:

The volume of a cuboid is given by the product of its dimensions. Here, that is ...

(12 cm)·(6 cm)·(3.5 cm) = 252 cm³

We are told the mass of each cm³ is 8.6, so 252 of them will have a mass of ...

8.6·252 cm³ = 2167.2 . . . . . no units specified

4 0

3 years ago