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nevsk [136]
3 years ago
7

Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?

Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

irakobra [83]3 years ago
4 0

Answer:

44

Step-by-step explanation:

x+(x-12)=76

2x-12=76

2x=76+12

2x=88

x=88/2

x=44

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Find the two square roots of 121 (write answer using the word “and” to separate them)
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Answer:

11 and 11

Step-by-step explanation:

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8 0
3 years ago
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What is equivalent to 4/9(2n-3)
sp2606 [1]
4/9(2n)+4/9(-3)
(4x2/9)n+(4 x -3)/9
(8/9)n -12/9
8/9n-4/3
4 0
3 years ago
If ON= 5x - 7, LM = 4x+ 4, NM = x -7, and OL =3y-4, find the values of c and y for which LMNO MUST BE a parallelogram.
Sholpan [36]

Answer:

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.

Solve this system of two equations. From the first equation:

4x-5x=-7-4\\ \\-x=-11\\ \\x=11

Substitute it into the second equation:

11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}

4 0
3 years ago
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w
VikaD [51]

Since the p - value is less than significance level . So, we will accept the null hypothesis.

​(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis : In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis :  H₀ : μ = 63.7

Alternative Hypothesis :  H₁ : μ > 63.7

b)The​ P-value for this test is 0.06.

The p-value represents the probability of getting a sample mean height of 20 years old women is  64.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

p- value = 0.06

Since the p - value is less .

So, we will accept the null hypothesis

So,  

Hence The mean height is 63.7 inches

To learn more about hypothesis testing from the given link

brainly.com/question/12976831

#SPJ4

7 0
1 year ago
Naomi is doing a report about the 1900 and 1904 olympic games. Each page will contain information about 4 of the countries that
hammer [34]

Answer:

The correct answer is the equation stands as 4x =40 where x is the number of pages Naomi would require and the value of this x is 10.

Step-by-step explanation:

Number of countries that competed in 1900 summer Olympic games is 28.

Number of countries that competed in 1904 summer Olympic games is 12.

Total number of countries competed in total is 40.

Each page of Naomi's report contains  information about 4 of the countries that competed each year.

Let Naomi need x number of pages to incorporate the whole report.

Thus the equation now stands as 4 × x = 40.

⇒ x = 10.

Thus Naomi would require 10 pages to complete her report.

8 0
3 years ago
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