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Andrews [41]
3 years ago
8

the density of a substance is 2.5 cm calculate the volume of the substance if its mass is 25.0 grams​

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

10 cm³

Step-by-step explanation:

The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.

Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:

d = m/v

2.5 = 25/v

Multiply both sides by v:

2.5v = 25

Divide by 2.5:

v = 25/2.5 = 10

Thus, the volume is 10 cm³.

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A ribbon is 40 inches long. We want to cut the ribbon into pieces. Each piece will be of an inch. How many pieces will we have?
mafiozo [28]

Answer:

40

Step-by-step explanation:

What we need here is to know how many of 1 inch are there in 40 inches

This is straightforward, what we need to do here is to imagine having to mark 1 inch length on the ribbon using a mark of a scissors.

What we will notice is that we need to make 40 marks to have exhausted the entire length of the ribbon.

This is obtained by dividing the total 40 by 1 which is 40

8 0
3 years ago
2.1<br> Construct an independent Equilateral triangle as follows:<br> 10 cm side with vertices ABC.
Masteriza [31]

Step-by-step explanation:

First draw a straight line

then mark a point A on the line

after take the compass and take 10 cm size

then keep the compass on A and draw the arc its B

then keep the point on B and draw arc to A

next keep the compass on A draw arc on same length

to upside to line do same thing from point B to upside

mark a point meeting borth arcs its c

all ABC triangle

6 0
2 years ago
Which are the x and y intercepts for the given equation, ( 4x = y + 8 )
Serga [27]

x intercepts means y =0

y intercepts means x =0

x intercepts =

0 = y+8

-8 = y

y intercepts =

4x = 0 + 8

x = 2

4 0
3 years ago
Juanita is attempting to figure out how many different groups of seven that she can create from a guest list of 15 people.
Sever21 [200]
B because it's b for the obvious
4 0
4 years ago
In an analysis of healthcare data, ages have been rounded to the nearest multiple of 5 years. The difference between the true ag
Mashcka [7]

Answer:

The correct answer is D. 0.77

Step-by-step explanation:

X_i \text{ is the difference between true and reported age. where i = 1,2,3......48 }\\\text{The rounded age are uniformly distributed. So, }X_i = 0\\\\and,\thinspace O_{X_i}^2=\frac{\text{(Upper Bound - Lower Bound})^2}{5\times 2.5\text{ ( Rounded value )}}\\\\O_{X_i}^2=\frac{(2.5 + 2.5)^2}{12}\approx 2.083\\\\O_X_i=1.443

\bar{X_{48}}=\frac{X_1+X_2+.......+X_{48}}{48}\\\\\bar{X_{48}}=\frac{\frac{48}{X_i}}{48}=0\\\\O_{\bar{X}_{48}}^2=\frac{48\cdot O_{X_i}^2}{48^2}=\frac{O_{X_i}^2}{48}\\\\\text{So, }\bar{X_i}\text{is approximately normal with mean 0 and standard deviation = }\\\\\frac{1.443}{\sqrt{48}}\approx 0.2083

=Pr[\frac{-1}{4}\leq \bar{X}_{48}\leq \frac{1}{4}]\\\\=Pr[\frac{-0.25}{0.2083}\leq Z\leq \frac{0.25}{0.2083}]\\\\=Pr[-1.2\leq Z\leq 1.2]\\=Pr(Z\leq 1.2)-Pr(Z\leq -1.2)\\=Pr(Z\leq 1.2)-(1-Pr(Z\leq 1.2))\\=2\times 0.8849 -1\text{ ( Z value for 1.2 is 0.8849 )}\\\approx 0.77

Hence, the correct answer is 0.77


7 0
3 years ago
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