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3 years ago

The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?

Mathematics

1 answer:

Marina86 [1]3 years ago

6 0

Answer:

Step-by-step explanation:

8 × 4 = 32

32 × 1/2 = 16

Hope this helps <3

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Please help. Im dying for the explanation. I will mark you brainalist.

AlekseyPX

Step-by-step explanation:

Given that the mean of the numbers is 12

$mean = \frac{sum \: \: of \: observations}{total \: number \: of \: observations}$

so here

let's that one as x and another one as 2x since it is given that one is twice the other

Therefore we get

$mean = \frac{13 + x + 4 + 16 + 6 + 2x}{6}$

Given mean = 12

$12 = \frac{39 + 3x}{6}$

$72 = 39 + 3x$

$3x = 33$

$x = 11$

Hence it's 11 and 22

5 0

2 years ago

Which situations can be represented by a linear function?

Sedaia [141]

A linear function is when a variable y varies directly with a variable x. That is, when y increases, x also increases and the opposite is also true. THerefore, the correct answer from the choices listed above is the first option. Every day, the number of bacteria in the dish is 3 times what it was the previous day can be represented by a linear function.

6 0

4 years ago

Read 2 more answers

A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the citi

Angelina_Jolie [31]

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

$x = \frac{9 \times 2}{1} = 9 \times 2 = 18$

7 0

2 years ago

Jonah cuts a board that is 33 inches long into 4 pieces of equal length. He uses the pieces for the sides of a picture frame. He

Ilya [14]

8. 1 5
4/33.00
32
10
8
20
20
0

8.15+8=10.15

The answer is 10.15 inches long for each frame.

7 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$