Help with test review homework please.

Answer: answered

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1 mile is approximately 1.6 kilometers)

Step-by-step explanation:

Answer:37.5

Step-by-step explanation:

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

Answer:

8/12 and 9/12

Step-by-step explanation:

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

Using the binomial distribution, it is found that:

a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

Item a:

Supposing 5% defective, we have that [tex]p = 0.05[/tex].

The probability is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]

[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]

[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]

0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

Item b:

The mean is:

[tex]E(X) = np = 25(0.05) = 1.25[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]

The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

Item c:

20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]

The probability is:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]

[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]

[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]

[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]

[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]

[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]

[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]

[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]

Then:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]

0.8908 = 89.08% probability that more than 17 chips in the sample are good.

A similar problem is given at https://brainly.com/question/24863377

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

Answer:

Worked 5 hours: $550

Worked 7 hours: $2,750

Worked 12 hours: $6,600

Step-by-step explanation:

5+7+12=24

13200/24 = 550

(5)*(550) = 2,750

(7)*(550) = 3,850

(12)*(550) = 6,600

Answer:

Proof is shown below.

Step-by-step explanation:

Use quadratic Formula, where from the standard form ax^2 + bx + c = 0, where a is not zero, we identify a = p-1, b=4, c = p-5, and since the given equation has no real roots, the discriminant b^2 - 4ac < 0, so that substituting we have that,

4^2 - 4(p-1)(p-5) < 0

16 - 4(p^2 - 6p + 5) < 0

16 - 4p^2 +24p - 20 < 0

-4p^2 + 24p - 4 < 0,

p^2 - 6p + 1 > 0, by dividing both sides of the inequality by -4.  

Answer:

MARK ME AS BRAINLIEST !!

Step-by-step explanation:

44640

Answer:

31 days =

44640 minutes

Step-by-step explanation:

Welcome

Answer:

Well, each baseball card $1.60.

Step-by-step explanation:

Since, you may just divide the amount of cards to the amount of money required.

When a force of 270N is applied, the spring stretch by 7.5cm

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let F represent the force and x represent the extension, hence:

F ∝ x

F = kx; k is the constant of proportionality

When F = 180, x = 5, hence:

180 = 5k

k = 36

F = 36x

When F = 270:

270 = 36x

x = 7.5 cm

When a force of 270N is applied, the spring stretch by 7.5cm

Find out more at: https://brainly.com/question/13977805

Answer:

Base= 6

Height= 10

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base be 3x and the height be 5x.

Given that the area is 30,

½ ×base ×height= 30

½(3x)(5x)= 30

Multiply both sides by 2:

3x(5x)= 60

15x²= 60

x²= 60 ÷15

x²= 4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2

(reject x= -2 since length has a positive value)

Length of base

= 3x

= 3(2)

= 6

Length of height

= 5x

= 5(2)

= 10

Answer:

=2691

Step-by-step explanation:

=2700+35−44

=2735−44

=2691

Answer:

A = 2 pi R^2 + 2 pi R h         total surface area

R^2 = 48       2 pi R = 8 * 6^1.2     given

56 pi 6^1/2 - 2 pi R^2 = 2 pi R h     f rom first formula

28 *  6^1/2 /  R - R = h          divide by 2 pi r

28 *  6^1/2 /  R  = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2

h = 7 * 2^1/2 - 4 * 3^1/2

Answer:

0

Step-by-step explanation:

[tex]\frac{a}{(a-b)(a-c)} +\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\\= \frac{a}{(a-b)(a-c)} -\frac{b}{(b-c)(a-b)}+\frac{c}{(a-c)(b-c)}\\\\= \frac{a(b-c)-b(a-c)+c(a-b)}{(a-b)(a-c)(b-c)}}\\\\= \frac{ab-ac-ab+bc+ac-bc}{(a-b)(a-c)(b-c)}}\\\\= \frac{0}{(a-b)(a-c)(b-c)}}\\\\= 0[/tex]

Answer:

a reflection over the line y=-x

Step-by-step explanation:

Answer:

£920

Step-by-step explanation:

We need to find the area of floor to find the cost of the flooring, and then we need to find the perimeter of the floor to find the cost of the edging.

A = LW = 6 m × 4 m = 24 m²

Cost of flooring: 24 m² × £35/m² = £840

P = 2(L + W) = 2(6 m + 4m) = 2(10m) = 20 m

Cost of edging: 20 m × £4/m = £80

Total cost:

£840 + £80 = £920

Two other expressions that also represent the relationship shown in the table are;

According to the question;

In essence, to write two other expressions that also represent the relationship shown in the table; we can rearrange the terms in the expression Andre wrote (-2 + 4x = 3) as follow;

First expression is;

Second expression is;

Read more:

https://brainly.com/question/13968118

Answer:

1) 2

2) 1

3) 8

Step-by-step explanation:

brainliest plz

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

Answer:

(-4.5, 2.5)

Step-by-step explanation:

The solution for two graphed linear equations is the intersection (The point where two lines meet or cross).

Step-by-step explanation:

I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :

it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).

but in order to be a function, every input value must have exactly one resulting output value. which is violated here.

Answer:

9 cm

Step-by-step explanation:

→ Remember how many sides a square has

4

→ Divide it by the perimeter

36 ÷ 4 = 9

Step-by-step explanation:

you know what a square is ?

it is a closed shape with 4 sides.

all 4 sides are equally long.

all 4 inner angle are 90 degrees.

you know what a perimeter is ?

it is the circumference, the whole way one time around the shape, around the outline of a given structure.

if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.

don't wait. don't be afraid or ashamed.

because this here is an extremely simple problem to solve, once you understand the words used.

so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.

36 = 4×side

side = 36/4 = 9cm

so, each side of the square is 9cm long.

Answer:

In slope-intercept form, y = -17/34 - 34

Step-by-step explanation:

For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)

Answer:

Top Left

Step-by-step explanation:

The numbers all coordinate to that plot

Answer:

Step-by-step explanation:

The easy way is to look for exceptions. The first and last plots missing 7/8 and same with data set.

There are 4 1's in the set which is correct with the first plot.

Your answer should be 724 cents, in dollars that is $7.24

Step-by-step explanation:

from the cents is shoes be 724 and the dollars souls be $7.24

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