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Allisa [31]
3 years ago
15

The Rockwell hardness index for steel is determined by pressing a diamond point into the steel and measuring the depth of penetr

ation. For 50 specimens of an alloy of steel, the Rockwell hardness index averaged 62 with standard deviation 8. The manufacturer claims that this alloy has an average hardness index of at least 64. Is there sufficient evidence to refute the manufacturer’s claim at the 1% significance level?
Mathematics
1 answer:
Rudik [331]3 years ago
8 0
Does it say anything about carbon?
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Which dimensions can create more than one triangle?
garri49 [273]

Answer:

three sides measuring 4 ft, 8 ft, and 10 ft

Step-by-step explanation:

To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.

The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.

4 ft, 8 ft, and 10 ft are in simple multiple of 2

4 ft, 8 ft, and 10 ft  = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.

3 0
2 years ago
Determine the solution set of each equation
maks197457 [2]

A=x1 = -8,x2 =2, B=x1= -5,x2=5, C=y1 = -4, y2 =5, D=y 18 over 5

alternative form

y=3 3over 5, =3.6

And E=x1=0, x2 =2 over 3

Alternative form

x1=0, x2=0.666667.

question A

Solving steps:Solve the quadratic equation

x²+6x-16=0

write 6x as a difference

x2 +8x-2x-16=0

factor out x for the expression

xx(x+8)-2x-16=0

factor out -2 from the expression

xx(x+8)- 2(x+8)=0

factor out x+8 from the expression

(x+8)x(x- 2)=0

when the product of factors equals 0,at least one factor is 0

x+8=0

x - 2=0

solve the equation for x

x= -8

x - 2=0

solve the equation for x

x= -8

x =2

the equation has 2 solution

x1 = -8,X2 =2

answer is

x1 = -8,x2 =2

Or

Solving steps:Number of solution

x²+6x-16=0

Determine the number of solution using the

discriminant D =b²- 4ac

D =6²- 4x1x(-16)

simply the expression

D=100

Since D>0, the quadratic equation has 2 real solution

2 real solution

Answer is

2 real solution

Question B

Solving steps:Solve the quadratic equation

x²-25=0

Move the constant to the right-hand side and change its sign

x²=25

Take the square root of both sides of the equation and remember to use both positive and negative roots

x=+5

Write the solutions,one with a +sign and one with a -sign

x= -5

x=5

The equation has 2 solutions

x1= -5,x2=5

the answer is

x1= -5,x2=5

Or

Solving steps:Number of solution

x²-25=0

Determine the number of solutions using the discriminant D=b²- 4ac

D=0²- 4x1x(-25)

Simply the expression

D=100

Since D>0,the quadratic equation has 2real solutions

Answer is

2real solutions

answer of question C is

y1 = -4, y2 =5

Answer of question D is

y 18 over 5

alternative form

y=3 3over 5, =3.6

Answer of question E is

x1=0, x2 =2 over 3

Alternative form

x1=0, x2=0.666667

Please mark as brainiest

3 0
3 years ago
Read 2 more answers
Find out what make 30 with only the number 1,3,5,7,9,11,13,15
Mrrafil [7]

Answer:

Step-by-step explanation:

7 + 3 + 5 + 15 = 30

6 0
3 years ago
Read 2 more answers
Weather is an important environmental factor that affects life on Earth. Which of the following
lakkis [162]

Answer:

Burning of fossil fuels impacts the weather negatively

8 0
3 years ago
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in
galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

2.25 + 70 = 72.25

Therefore, the total value of the purchase is 72.25.

8 0
3 years ago
Read 2 more answers
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