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Lelu [443]
3 years ago
9

Which value of x is the solution to the equation 4(-3x+8)= -16?

Mathematics
2 answers:
klio [65]3 years ago
6 0

Answer:

x = 4

Step-by-step explanation:

4(-3x + 8) = -16

Divide both sides by 4

-3x + 8 = -4

Subtract 8 from both sides

-3x = -12

Divide both sides by -3

x = 4

yaroslaw [1]3 years ago
6 0
Answer: X=4
. 4(-3x+8)=-16
-12x+32= -16
-12x=—48
X=4

CHECK:
4(-3(4)+8)=-16
4(-4)=-16
-16=-16
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An Isosceles triangle has single measures 55,55,and 70. The side across from the 70 angle is 10 inches long. How long are the ot
UkoKoshka [18]

Answer:

8.717 both the sides

Step-by-step explanation:

Given:

Let ABC be the given triangle with

angle A= 55

angle B=55

angle C= 70

side across angle C, c= 10 inches

side across angle B, b =?

aide across angle A,a=?

Now using the law of sin to find a and b:

                a/sinA=c/sinC

                a= (c/sinC)(sinA)

Putting the values:

                a= (10/sin70)(sin55)

                a= 8.717

As the given triangle is isosceles so side a=b

hence a=b= 8.717 inches !

               

8 0
3 years ago
Among the equation students taking a graduate statistics class, equation are master students and the other equation are doctoria
OleMash [197]

Answer:

a) P=0.2861

b) P=0.0954

c) P=0.3815

d) P=0.6185

Step-by-step explanation:

The question is incomplete:

<em>Among the N=16 students taking a graduate statistics class, A=10 are master students and the other N-A=6 are doctorial students. A random sample of n=5 students is going to be selected to work on a class project. Use X to denote the number of master students in the sample. Keep at least 4 decimal digits if the result has more decimal digits. </em>

<em> </em>

<em>a) The probability that exactly 4 master students are in the sample is closest to? </em>

<em> b) The probability that all 5 students in the sample are master students is closest to? </em>

<em> c) The probability that at least 4 students in the sample are master students is closest to? </em>

<em> d) The probability that at most 3 students in the sample are master students is closest to?</em>

<em />

We use a binomial distribution with n=5, with p=10/16=0.625 (proportion of master students).

a)

P(k=4)=\binom{5}{4}p^4q^1=5*0.625^4*0.375=5*0.1526*0.3750\\\\P(k=4)=0.2861

b)

P(k=5)=\binom{5}{5}p^5q^0=1*0.625^5*1=\\\\P(k=4)=0.0954

c)

P(k\geq4)=P(k=4)+P(k=5)=0.2861+0.0954=0.3815

d)

P(k\leq3)=1-P(x\geq4)=1-0.3815=0.6185

7 0
4 years ago
Dinner at a restaurant costs $36.00. Jeff left a 20% tip. What was the total cost of the dinner?
ella [17]
The answer should be the second option.
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5 0
3 years ago
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Setler [38]
Divide it and then you have ur answer
8 0
3 years ago
Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?
Alex

So the distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} . Using this, our equation is \sqrt{(7-(-8))^2+(-1-(-9))^2} and we can solve for it as such:

\sqrt{(7-(-8))^2+(-1-(-9))^2}\\ \sqrt{15^2+8^2}

As we see with this radical, the sum that's under it is 15^2 + 8^2, or the third option.

7 0
3 years ago
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