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2 years ago

Helppppppppppppppppppppppppppppppmeeeeeeeeeeee

Mathematics

2 answers:

grandymaker [24]2 years ago

7 0

Answer:

tysm please brainlilest me if you want

alukav5142 [94]2 years ago

5 0

Answer:

Step-by-step explanation:

5 is the most common factor between the 2 numbers.

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X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to fo

lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

7 0

3 years ago

△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF ...................CPCTC

Substituting the values we get

$4x-2=x^{2}-7\\x^{2}-4x-5=0$

Now By Factorizing we get

$x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5$

Therefore the value of x is 5.

8 0

3 years ago

A rabbit and a turtle were to start a race at the same place. The rabbit was asleep when the turtle started. He slept for seven

Ierofanga [76]

Rabbit: y=5x-7
Turtle: y=x

use substitution

x=5x-7
-4x=-7
x=7/4=1.75

1.75hr

3 0

3 years ago

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

san4es73 [151]

The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus $5\sqrt{3}$ . A whole side of the triangle is $10\sqrt{3}$ . Multiply that by 3 to get the perimeter of <span> $30\sqrt{3}$ .</span>

4 0

3 years ago

120 is what percent of 40?

Keith_Richards [23]

120 would be 300% of 40

3 0

2 years ago

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