I need the answer. Please help.

Answer:

71 ( C ).

Step-by-step explanation:

The impossible case is the third case i.e.71

because there is only one reading on the span gas hence it is impossible to carry out a t-test on just one valid reading in an experiment.

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

Answer:

0

Step-by-step explanation:

Given

a² ÷ a - b + b² ÷ b - a ← perform the division calculations

= a - b + b - a ← collect like terms

= 0

Answer:

0

Step-by-step explanation:

=a^2/a-b+b^2/b-a

=here denominator which divides a^2 and b^2 gets cancelled

=a-b+b-a

=+a-a and +b -b gets cancelled

and answer is 0

Answer:

b could be -1 or 0

Step-by-step explanation:

f(x) = 3x^2 +bx+2

if it has no real roots, the discriminant must be less than zero

b^2 -4ac <0

a=3  b=b  c=2

b^2 - 4(3)(2) <0

b^2 - 24 <0

b^2 < 24

Taking the square root of each side

b< 2 sqrt(6)  and b > 2 sqrt(6)

b could be -1 or 0

Answer:

[tex]tan^{-1}(\frac{12}{16})[/tex] = 36.87°

≈37°

Answer:

1, 2, 4, 7, 14, 28, 49, 98, and 196.

Step-by-step explanation:

Answer:

same question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Overall probability = Probability1 *Probability2

Using the data you already have, you can fill it in as

0.35 = 0.48 * P2

Rearrange to isolate P2, by dividing both sides by 0.48, so

0.35/0.48 = P2

P2 = 0.7291666..., which rounded to two d.p is 0.73

So d)0.73 is correct

Answer:

( x + 2 ) and ( x - 11 )

Step-by-step explanation:

x² - 9x - 22 = 0

x² + 2x - 11x - 22 = 0

x ( x + 2 ) - 11 ( x + 2 ) = 0

( x + 2 ) ( x - 11 ) = 0

Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).

Answer:

( x - 11 ) ( x + 2 )

Step-by-step explanation:

x² - 9x - 22 = 0

→ Write 2 factors which multiply to -22 and add to -9

-11 and 2

→ Put the factors into brackets

( x - 11 ) ( x + 2 )

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer: c, is the correct option.

Step-by-step explanation:

The sample mean is the best point estimate for the population mean in a particular study.

Given data of scores: [tex]$\begin{array}{llllllll}27 & 30 & 20 & 29 & 28 & 36 & 34 & 31\end{array}$[/tex]

Sample mean = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{27+30+20+29+28+36+34+31}{8}\approx29.38[/tex]

Hence, a point estimate for μ, the mean test score for the population is 29.38

Thus , c. is the correct option.

?Answer:

Step-by-step explanation:

Answer:

Two sides of a triangle have lengths 10 and 15.

What must be true about the length of the third side?

Greater than 5 but less than 25

Less than 15

Less than 25

Step-by-step explanation:

Eugene and Jenny are selling cookie dough for a school fundraiser. Customers can buy packages

of chocolate chip cookie dough and packages of gingerbread cookie dough. Eugene sold i

package of chocolate chip cookie dough and 10 packages of gingerbread cookie dough for a total

of $174. Jenny sold 4 packages of chocolate chip cookie dough and 2 packages of gingerbread

cookie dough for a total of $50. Find the cost each of one package of chocolate chip cookie

dough and one package of gingerbread cookie dough.

.

.

Two sides of a triangle have lengths 10 and 15.

What must be true about the length of the third side?

Greater than 5 but less than 25

Less than 15

Less than 25

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Answer:

n+(n+6)=24

Step-by-step explanation:

we know that he has 24 in total so it has to equal 24

we also know that he has 6 more marbles meaning he has n number of yellow marbles plus 6 and that will give you the total of the blue marbles he also has n number of yellow marbles that he has to add to the number of blue marbles to get the total of 24

Answer:

A. 0.028

B. 0.0628

C. 0.45

Step-by-step explanation:

A. Calculation to determine the probability that it is adefective hard drive and from plant II

Using CONDITIONAL PROBABILITY formula

P(B∩A2) =P(A2)P(B|A2)

Let plug in the formula

P(B∩A2)= 0.35×0.08

P(B∩A2)= 0.028

Therefore the probability that it is adefective hard drive and from plant II will be 0.028

B. Calculation to determine the probability that a randomly selected hard drive is defective

Using LAW OF TOTAL PROBABILITY formula

P(B) =P(A1)P(B|A1) +P(A2)P(B|A2) +P(A3)P(B|A3)

Let plug in the formula

P(B)= 0.54×0.04 + 0.35×0.08 + 0.11×0.12

P(B)=0.0216+0.028+0.0132

P(B)= 0.0628

Therefore the probability that a randomly selected hard drive is defective is 0.0628

C. Calculation to determine the probability that it came from plant II

Using CONDITIONAL PROBABILITY formula two twice

P(A2|B) =P(A2∩B)/P(B)

Let plug in the formula

P(A2|B)=0.0280/0.0628

P(A2|B)= 0.45

Therefore the probability that it came from plant II is 0.45

Answer:

250-25=225 week 1

200=week 2

175= week 3

150= week 4

Martin

60= week 1

90= week 2

120=week 3

150= week 4

Step-by-step explanation:

Answer:

it is number 2 just read it with an open mind

Step-by-step explanation:

Answer:

11.69

Step-by-step explanation:

Given that y2 is directly proportional to the cube of x and y is always positive. then;

y² = kx³

if y = 18 when x =4

18² = k4³

324 = 64k

k  = 324/64

k = 5.0625

To get y when x = 3

Recall

y² = kx³

y² = (324/64)3³

y² = 324/64 * 27

y² = 136.6875

y = √136.6875

y = 11.69

Hence the value of y is 11.69

value of. when x = 3 if y = 18 when x =4

A) 27 B) 11.67 C) 29

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

Answer:

5/6.

Step-by-step explanation:

This is (7/9 + 8/9) / 2

= 15/9 / 2

= 15/9 * 1/2

= 15/18     Now, dividing top and bottom by 3, we get:

5/6.

The required fraction midway between 7 / 9 and 8 / 9 is 5/6.

Given that,
To determine the fraction that lies between the fraction 7/9 and 8/9.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Fraction is defined as the number of compositions that constitute the Whole.

Here,
According to the question,
Fraction midway to the fractions, 7 / 9 and 8 / 9
= [7 / 9 + 8 / 9] / 2
= 15/9/2
= 15 / 9 * 2
= 15 / 18
= 5 / 6

Thus, the required fraction midway between 7 / 9 and 8 / 9 is 5/6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

D. 1/5

Step-by-step explanation:

Because

0.2222...>0.2>0.12

Answer:

180-25=155 degrees

Step-by-step explanation:

Answer:

5.397*10^11

Step-by-step explanation:

2.63*10^11

0.978*10^11

1.789*10^11

--------------

5.397*10^11

Answer: the required sample size = 155

Step-by-step explanation:

If the standard deviation of the prior study is known, then the formula to compute required sample size:

[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] =  populion standard deviation.

Given: E = 3.7 , [tex]\sigma=28[/tex]

Critical value for 90% confidence = 1.645

Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]

[tex]n=(12.4486486486)^2\approx155[/tex]

Hence, the required sample size = 155

====================================================

Explanation:

The red shaded region is the solution set. In other words, if the point is in the red region, then it is a solution. A point like (0,0) is in the red area, so we cross that off the list. The same applies for (4,6) and (-2,-8) as well.

In contrast, a point like (5,1) is not in the red shaded area, so this point is not a solution. Hence it's the final answer.

Note: the solid boundary line means points on the boundary are considered solutions. A dashed boundary line would be used to exclude boundary points from the solution set. Solid boundary lines always go with "or equal to".

Refer to the drawing below if you need a visual of what's going on. I've plotted the four points on the graph given.

--------------------------

Here's an algebraic approach if you don't have a graph and only have the inequality. Ignore this section if you prefer the first section above.

If we plugged (x,y) = (0,0) into the inequality, then we get...

[tex]y \ge 2x-4\\\\0 \ge 2(0)-4\\\\0 \ge 0-4\\\\0 \ge -4\\\\[/tex]

That's a true statement because 0 is to the right of -4 on the number line, making 0 larger than -4. Since the last inequality is true, this makes the first inequality true. Furthermore, it algebraically confirms why (0,0) is a solution. You should find that (4,6) and (-2,-8) will lead to true statements as well, so they are solutions.

In contrast, (x,y) = (5,1) is not a solution because...

[tex]y \ge 2x-4\\\\1 \ge 2(5)-4\\\\1 \ge 10-4\\\\1 \ge 6\\\\[/tex]

which is false. The value 1 is not larger than 6, nor is it equal to 6.

Answer:

pol

Step-by-step explanation: