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vodka [1.7K]
2 years ago
13

2/5y - 4 + 7 - 9/10y with steps

Mathematics
1 answer:
Lesechka [4]2 years ago
3 0

Let's simplify step-by-step.

2/ 5 y−4+7− 9 /10 y = 2 /5 y+−4+7+ −9 /10 y

Combine Like Terms:  = 2 /5 y+−4+7+ −9 /10 y

(2 /5 y+ −9 /10 y)+(−4+7) = −1 /2 y+3

Answer:  = −1 /2 y+3

Hope I could help! :)

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The prism has a volume up to 150.find the length of the prism
Varvara68 [4.7K]

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

<u>Step 1</u>

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

<u>Step 2</u>

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

150 / 20=7.5

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

5 0
3 years ago
What is the measure of AC ?<br> Enter your answer in the box.
elena55 [62]

Answer:

can anyone explain step by step how to fiquire this out please ..   sons teacher isnt helping

Step-by-step explanation:

6 0
3 years ago
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx
tester [92]

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point P(x_o,y_o)and it has slope m, the equation of the line is:

y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18

4 0
2 years ago
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
If mc008-1.jpg, what is f(5.9)?
yulyashka [42]
The answer:

the full question is if f(x) = 3 [ x - 2 ] , what is f(5.9)?

9
10
11
<span>12

</span>first, [x - 2 ] is called the integer part of x-2, 
generally, to compute f(c) where c is a real number, it is sufficient to substitute the value of x by c.
so <span>f(5.9) = 3 [ 5.9 - 2 ] =  3 [ 3.9 ]

 as we know that </span>[ 3.9 ]=3
<span>
therefore
</span>3 [ 3.9 ]<span>= 3x3 =9

the answer is 9</span>
6 0
3 years ago
Read 2 more answers
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