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seropon [69]
4 years ago
12

Write a subtraction sentence using integers. Then write the equivalent addition sentence and explain how to find the sum.

Mathematics
1 answer:
Rasek [7]4 years ago
6 0
The difference of five and negative 7. <span><span>
1.       </span>Which becomes 5 – (-1) =  6. Such that 5 + 1 = 6.</span> The total number of fruits available.

Three hundred apples minus thirty oranges.
<span><span>1.       </span>300 – 30 =  270 fruits</span>

The room temperature of thirty degrees Celsius has risen to fourty-five degrees Celsius. What is the difference of the final and initial temperatures? <span><span>
1.       </span>45 – 30 = 15</span>

When the ball rose with an acceleration of 2 m/s2 what is the difference between the ball’s acceleration and the gravitational force that acted on it? <span><span>
1.       </span>-10 - 2 = -12 </span>



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10% of the downtown residents of a town in the Plains live in mobile homes. Based on data from past tornadoes, if a tornado goes
tia_tia [17]

Answer:

The probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person lives in a mobile home.

<em>Y</em> = a person dies as a result of tornado.

Given:

P(X)=0.10\\P(Y|X) = 0.30\\P(Y|X^{c})=0.02\\

Compute the value of P(Y^{c}|X^{c}) as follows:

P(Y^{c}|X^{c})=1-P(Y|X^{c})\\=1-0.02\\=0.98

Compute the probability that a person dies as a result of tornado as follows:

P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})\\=(0.30\times0.10)+(0.02\times(1-0.10))\\=0.03+0.018\\=0.048

Then the probability that a person does not dies as a result of tornado is:

P(Y^{c})=1-P(Y)\\=1-0.048\\=0.952

Compute the value of P(X^{c}|Y^{c}) as follows:

P(X^{c}|Y^{c})=\frac{P(Y^{c}|X^{c})P(X^{c})}{P(Y^{c})}=\frac{0.98\times(1-0.10)}{0.952}=0.9265

Thus, the probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

5 0
4 years ago
The circle below is centered at the point (-3/4) and has a radius of length 3 what is its equation??
Agata [3.3K]
{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
6 0
3 years ago
Read 2 more answers
Linda is planning to build a rectangular deck that is 12 feet longer than it is wide. Find its width if its area is 589 square f
BaLLatris [955]
Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
x^{2} +12x = 589
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.
6 0
4 years ago
Find the height of the pyramid.<br> Volume = 198 yd<br> 9 yd<br> 11 yd<br> The height is yards.
Rzqust [24]

Answer:

12 yards

Step-by-step explanation:

h = (3×198)/(½×11×9)

= 594/(49.5)

= 12 yds

4 0
3 years ago
Hello i need help with these and if you would like to help more i will be posting multiple questions
8_murik_8 [283]
#1<span> Plug equations 4, 5, 6, and 7 into equation 3
To better combine like terms ... rearange the numbers
combine like terms (y's and constants cancel out)
Divide by 5
Plug this back into equations 5 and 7

#2 </span><span>Apply concepts of density based on area and volume in modeling ... Mathematically proficient students can apply the mathematics they know to solve problems arising in ... In Grade 3, students used modeling to solve real-world problems involving perimeter of polygons.

#3 </span><span>D Ira built his model using cross sections that were cut parallel to the base what shape was each cross section </span>
4 0
3 years ago
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