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Archy [21]
3 years ago
7

Can someone help please!

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:a) 0.35

B) 0.75

C) 0.65

D) 0.25

E) 1.1

F) 0.9

Step-by-step explanation:

Relative frequency= frequency/total number of value

A) 21/60= 0.35

B) 135/180= 0.75

C) 39/60= 0.65

D) 45/180= 0.25

E) Rf Male or female choosing sport utility car = 21/60 + 135/180 = 0.35 + 0.75= 1.1

F) Rf of male or female choosing a sport car= 39/60 +45/180= 0.65 + 0.25= 0.9

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An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is
aalyn [17]

Answer:

Step-by-step explanation:

Using normal distribution,

z = (x - μ)/σ

μ= mean = 44 and

σ = standard deviation= 5.0

a) The probability that yield strength is at most 40=

P( x lesser than or equal to 40)

z = (40-44)/5= -0.8

Looking at the normal distribution table,

P( x lesser than or equal to 40) =0.2119

b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)

z = (62-44)/5= 3.6

Looking at the normal distribution table,

P(x greater than 62) = 1 -0.99984

= 0.00016

c)P( 42 lesser than or equal to x lesser than or equal to 62)

= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)

= 0.99987-0.2119= 0.78797

d) What yield strength value separates the strongest 75% from the others.

To get x for strongest 75, we get the z value corresponding to 0.75 from the table

z = 0.675= (x-44)/5

x = 3.375+44 = 47.375

The rest is 25% = 0.25

we get the z value corresponding to 0.25 from the table)

z = -0.67 = (x-44)/5

-3.35= x -44

x = -44+3.35= 40.65

yield strength value that separates the strongest 75% from the others

=47.375-40.65= 6.725

3 0
3 years ago
Need Help with 44.. picture above
Daniel [21]

Answer:

Ok:

Step-by-step explanation:

I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the <em>whole</em> trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.

8 0
3 years ago
Which problem can be solved using the equation below?
Lelu [443]
Which equation? Sorry I don’t see one
3 0
3 years ago
Al's Produce Stand sells 8 ears of corn for $2.25. Barbara's Produce Stand sells 12 ears of corn for $3.50. Write two equations,
Gennadij [26K]

Answer:

6n = 1.50

and

13n = 3.12

Step-by-step explanation:

Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.For Al’s produce stand, let the price per corn sold be n

Thus;

6 * n = 1.50

6n = $1.50 •••••••(i)

For the second;

let the price per corn sold be n;

13 * n = $3.12

-> 13n = 3.12 •••••••••(ii)

3 0
2 years ago
A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?
Leona [35]

Answer:

2x\sqrt{15}

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \sqrt{4}·\sqrt{15} · \sqrt{x^2}

This can be simplified to be 2x\sqrt{15}

6 0
3 years ago
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