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2 years ago

Please answer question

Mathematics

2 answers:

aliina [53]2 years ago

8 0

Answer:

Step-by-step explanation:

Base is right triangle, so:

B = ¹/₂•4•6 = 12 mm²

H = 7 mm

V = ¹/₃•B•H

V = ¹/₃•12•7 = 4•7 = 28 mm³

antiseptic1488 [7]2 years ago

3 0

Answer:

V=28 mm³

Step-by-step explanation:

V= volume of the pyramide

G = square of the triangle

h = high of the pyramide

V = 1/3 * G* h

G=1/2 *a*b

G = 1/2 * 6 * 4

G = 12

V= 1/3 *12*7

V=28 mm³

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In constructing a confidence interval estimate for a population mean, when we replace S with the sample standard deviation (s),

Akimi4 [234]

Answer:

Step-by-step explanation:

When the population standard deviation is unknown while constructing the confidence interval then the estimate of standard deviation calculated from sample is used and due to this the new type of variability arise and then for conducting a confidence interval for mean the t-distribution is used. For calculating confidence interval for mean there are two sampling distributions z distribution and t distribution. When sample size is small and population standard deviation is unknown then t-distribution is used.

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2 years ago

you choose at random from the letters a,b,c and d and you roll a number cube once. what are the chances that you get an a and 5?

Keith_Richards [23]

1/24 or 4%

There is a total of 24 outcomes
4 letters • 6 numbers = 24 possible outcomes
There are 6 different outcomes when it comes to each letter.
(a1, a2, b1, b2 etc)
so getting a5 is a 1/24 chance because there 24 outcomes and only one of them is a5

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2 years ago

What is the area of the piece of red paper after the hole for

MakcuM [25]

Answer:

$\large\boxed{\large\boxed{47unit^2}}$

Explanation:

The complete question is:

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).

What is the area of the piece of red paper after the hole for the photograph has been cut?

<h2>Solution</h2>

The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.

1. Area of the big rectangle

Vertices:

(- 4, 4)
(4, 4)
(4, -4)
(-4, -4)

The side length is the distance between two consecutive vertices:

The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:

$4-(-4)=4+4=8$

The area of this square is $(8unit)^2=64unit^2$

2. Area of the small square

Vertices:

(-3, -2)
(- 2, 2)
(2, 1)
(1, -3)

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}$

The area is:

$(\sqrt{17}unit)^2}=17unit^2$

3. Area of the piece of red paper after the holw for the photograph has been cut:

Find the difference:

$64unit^2-17unit^2=47unit^2$

7 0

2 years ago

Read 2 more answers

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0

2 years ago

The ratio of dogs to cats being treated at a veterinarian's office this week is 5 : 2. Suppose there are 168 dogs and cats sched

Alexeev081 [22]

Answer:

48 cats

Step-by-step explanation:

Am interesting factoid about ratios:

The ratio $a:b$ can be separated into fractional parts of $\frac{a}{a + b}$ and $\frac{b}{a + b}$ . We need to know the cat part. $\frac{2}{5 + 2} = \frac{2}{7}$ , so that is the fraction part. Then, we multiply this fraction by 168 to get the total number of cats. This number is 48.

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2 years ago