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2 years ago

The endpoints of CD are C(3,−5) and D(7, 9). The coordinates of the midpoint M of CD are?

Mathematics

1 answer:

Nutka1998 [239]2 years ago

3 0

Answer:

M(5,2)

Step-by-step explanation:

We use the midpoint rule:

$( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$

We just have to find the arithmetic mean of the x and y-coordinates.

The endpoints of CD are given as C(3,−5) and D(7, 9).

We substitute these values to get:

$( \frac{7 + 3}{2}, \frac{9 + - 5}{2} )$

$( \frac{10}{2}, \frac{4}{2} )$

$(5, 2)$

Therefore the coordinates of the midpoint M of CD are (5,2)

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Find the volume of a pyramid with a square base, where the perimeter of the base is 5.1 in 5.1 in and the height of the pyramid

lana66690 [7]

Step-by-step explanation:

PARA ENCONTRAR CUÁNTO MIDE CAD LADO SE DIVIDE EL PERÍMETRO

ENTRE 4 LADOS

l = 1.28 in

LOEGO ENCUENTRAS EL RADIO DE LA PIRÁMIDE

r = 2.55 in

USANDO LA FÓRMULA

V = 4(1.28 in)(2.55 in)(2.7 in)/6 = $5.9 in^{3}$

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2 years ago

4x+3 =23 2x - 10 = -32 - 4x + 1 = -27 6x - 2 = -20

Scrat [10]

Answer:

1)x = 5

2)× = -11

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2 years ago

In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta

alukav5142 [94]

Answer:

$Z_{0.05}=1.645$

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used to calculate a confidence interval with a 95 % confidence level

So, $Z_{0.05}=1.645$

Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.

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1 year ago

a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the lar

Scorpion4ik [409]

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

$l_s = 2\ ft\\w_s = 3\ ft$

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

$l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet$

The area of larger table will be:

$A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2$

Hence,

The area of larger table is 24 square feet.

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1 year ago

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average. A digital marketing

dimaraw [331]

Answer:

a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.

Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

$H_0: \mu = 7$

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.

Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

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Thus, the correct answer is given by option a.

4 0

1 year ago