What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!

The probability that exactly 8 peas are green, from the random selection would be 22. 56 %.

This is a binomial probability problem as the probability of an exact likelihood from an event needs to be found.

The relevant formula is:

P ( X = k ) = C ( n , k) x p^ k x q ^( n - k)

Solving for the probability, that exactly 8 peas are green gives:

P ( X = 8 ) = C( 12, 8) x ( 3 / 4 ) ^8 x ( 1 / 4 )^4

P ( X = 8 ) = (12! / ( 8 ! ( 12 - 8 )!) ) x ( 3/4 ) ^8 x ( 1 / 4 ) ^4

P ( X = 8 ) = 0. 2256

P ( X = 8 ) = 22. 56 %

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The exponential function is given by y = 0.9(1.082)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the fish weights at x inches.

Using point (4, 1.24):

1.24 = ab⁴   (1)

Using point (10, 1.99):

1.99 = ab¹⁰  (2)

From equation 1 and 2:

b = 1.082, a = 0.9

The exponential function is given by y = 0.9(1.082)ˣ

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Answer:

the unit price is $1.56

Step-by-step explanation:

18.75/12 = 1.56

The expressions that represent the derivative of the function y = f(x) are dy/dx, l'(x), and lim h->0 [f(x+h) - f(x)]/h. These expressions show the rate of change of y with respect to x at any given point on the function.

The other expressions, such as S(x) + f(h), xth dh/dx, lim 10 f(x) + f(h) x+h, and lim 1-0 F(x +h)-f(x)/h, are not equivalent to the derivative of the function. It is important to understand and use the correct expressions for the derivative in order to accurately analyze and interpret the behavior of a given function.

The expressions that represent the derivative of the function y = f(x) are:

1. lim (x→0) [f(x + h) - f(x)] / h
2. dy/dx
3. f'(x)
4. dh/dx

These expressions are used to describe the rate of change of the function y = f(x) with respect to the variable x. They can be used to find the slope of the tangent line to the curve at any given point or to analyze the behavior of the function.

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a) 2.7% of mayflies live at least 26.8 hours.

b) 85% of the mayflies die after approximately 26.2 hours.

a) We can begin by standardizing the value of 26.8 hours:

\(z = \frac{26.8 - 23.7}{1.6} = 1.9375\)

Using a standard normal table or a calculator, we can find that the probability of a standard normal random variable being greater than 1.9375 is approximately 0.027, or 2.7%. Therefore, about 2.7% of mayflies live at least 26.8 hours.

b) We want to find the value of x such that 85% of the mayflies have a lifespan less than x. To do this, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution:

\(z = \text{invNorm}(0.85) \approx 1.04\)

Then we can solve for x:

\(x = \mu + z\sigma = 23.7 + 1.04(1.6) \approx 26.2\)

Therefore, 85% of the mayflies die after approximately 26.2 hours.

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Answer:

6 hours 45 minutes

Step-by-step explanation:

Calculate the time from 9.25 pm on Monday until midnight, then add on time from midnight until 4.10 am on Tuesday, that is

9.25 pm → midnight = 2 hours 35 minutes , then

2 hours 35 minutes + 4 hours 10 minutes

= (2 + 4) + (35 + 10)

= 6 hours 45minutes

The simplification of four fourths over nine written as 4/4 ÷ 9 is given by 1/9

Fraction refers to a number which consists of a numerator and a denominator.

A numerator is the upper or top value of a fraction while a denominator is the lower or bottom value of a fraction.

Given: four fourths over nine

= 4/4 ÷ 9

= 1 ÷ 9

= 1/9

Or alternatively

4/4 ÷ 9

= 4/4 × 1/9

= (4 × 1) / (4 × 9)

= 4/36

= 1/9

In conclusion, the fraction four fourths over nine is simplified as 1/9

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Answer:

90 students

Step-by-step explanation:

So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.

Answer:

hello

2010 = 100 students

2011 = 100 x 0.9 = 90

2012 =  90 x 1.1 =  99  

Step-by-step explanation:

The number of distinct telephone numbers possible given the restriction is 800,000.

Given that :

For the first digit, there are 8 options available (digits 0-6 and 9, excluding 7 and 8).

For the remaining five digits (second to sixth), there are 10 options available for each digit (digits 0-9).

Therefore, the total number of distinct telephone numbers possible can be calculated by multiplying the number of options for each digit:

Total number of distinct telephone numbers = 8 * 10 * 10 * 10 * 10 * 10 = 8 * 10⁵ = 800,000

Hence, there are 800,000 distinct telephone numbers possible in this country.

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Answer:

a) y = 6

b) y = 3x + 3

Step-by-step explanation:

a.)

plug 1 into x in the equation:

\(-12+4y=12\)

add 12 to both sides to isolate 4y:

\(4y=24\)

divide both sides by 4 to simplify x:

\(y=6\)     [24/4=6]

b.)

add 12x to both sides to isolate 4y:
\(4y=12x+12\)

divide both sides by 4x to simplify x:

\(y=3x+3\)

The probability of winning the prize if you switch is 2/3.

When you initially choose a box, there is a 1/3 chance that the prize is in your chosen box and a 2/3 chance that it is in one of the other two boxes.

When the dealer opens one of the other two boxes and shows it to be empty, the probability that the prize is in the remaining unopened box is still 2/3.

This is because the dealer has effectively given you new information that eliminates one of the two boxes you did not choose, but does not affect the probability distribution of the prize in the remaining two boxes.

Thus, if you switch to the other unopened box, you have a 2/3 chance of winning the prize, whereas if you stick with your original box, you have only a 1/3 chance of winning. Therefore, it is advantageous to switch.

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Answer:

The scale factor of the dilation is 6.

Step-by-step explanation:

Dilation of a Triangle

A dilation is a transformation that produces an image that is the same shape as the original but at a different size.

Dilating a point centered at the origin means multiplying its coordinates by a fixed scale factor k.

If point A(3,6) is dilated centered at the origin by a scale factor of 4, then its new coordinates are A'(12,24).

Triangle FGH has vertices F(−5, 0), G(0, 5), and H(5, 0).

It's known a dilation, centered at the origin, is applied to this triangle and the image has vertices F′(−30, 0), G′(0, 30), and H′(30, 0)

Comparing the coordinates F and F', the x-coordinate is scaled by a factor of (-30)/(-5)=6

Comparing the coordinates G and G', the y-coordinate is scaled by a factor of (30)/(5)=6

Comparing the coordinates H and H', the x-coordinate is scaled by a factor of (30)/(5)=6

Since all the scale factors are the same, we can conclude the scale factor of the dilation is 6.

Answer:

the answer will be 6

Step-by-step explanation:

i just multipled 5 to 30

Answer:

cut all pizzas into 5 slices so each guest can have one or into 10 slices so each can have two smaller ones

Step-by-step explanation:

The image shows the square root of 41

The root of 41 in decimal is 6.403.

As such the integers before and after 6.403 are 6 and 7

Another way to solve this is to consider the perfect square before 41 which is 36.

The square root of 36 is 6. Since 41 is higher than 36, the number before root 41 would be 6 and the next number after 6 is 7.

Hence the two numbers before and after √41 are 6 and 7

Answer:

no robot can travel 27 feet in 3 minutes

Step-by-step explanation:

Shelly ordered the 16 candy bags.

The operation or process of finding the difference between two numbers or quantities, denoted by a minus sign (−).

We have the information from the question:

Shelly paid a total of $15 for bags of candy she ordered on-line.

The cost of each bag was $0.75

Shipping charge was a flat rate $3.00

We have to find the how many bags of candy did shelly order.

Now, According to the question:

We have to subtract shipping charge from total paid charges, we get:

Total paid - shipping charge

=> 15 - 3

= 12

Number of bags = 12/ 0.75

Number of bags = 16

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HY OLA SUN TEFONO ME QVLOE AHRAC JU PSTICIORQ ME QUITASTUE MIS UNTPOS PER LAO RESPUSTA ES QU HEEEAYFRUS RALPH LIBRTA UVS AA A 8NTAVOS0 CE

Answer:

80,000

Step-by-step explanation:

1/4(25%)×60,000=20,000

20,000+60,000=80,000

We can see that the p-value for above test is less than α=0.05 and it indicates that we have very strong evidence against H(0) to reject it and we can conclude that there is highly significant relationship between money spent on advertising and sales.

In the given question we have to find is there a statistically significant relationship between money spent on advertising and sales.

Here we have Sales(in $1000) as dependent variable (y) and spend on Advertising (in $1000) as independent variable (x).

The significance of relationship between x and y is given by the significance of regression coefficient of regression of y of x.

So we have to test

H(0): β1=0

H(1): β1≠0

From the table that is given below, we have;

b(1)=3.778221987

se(b(1)) =0.563520732

The test statistic to test the above hypothesis is

t=b(1)/se(b(1))

From the given output, we already have

t=6.704672556

p-value=0.0000146

We can see that the p-value for above test is less than α=0.05 and it indicates that we have very strong evidence against H(0) to reject it, so we reject the H(0) and we can conclude that there is highly significant relationship between money spent on advertising and sales.

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(2;-2)

therefore the coordinates of the mi

Step-by-step explanation:

X=(X+X)/2

X=(-1+5)/2

X=2

y=(y+y)/2

y=(1-5)/2

y=-2

therefore the coordinates of the midpoint is (2;-2)

Answer:

3 ounces of water

Step-by-step explanation:

If 6 ounces of water dripped in 10 minutes, then that means that in HALF the time (5 minutes), HALF the amount of water would drip, which is 3 ounces.

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

(4n + 5)(4n+5)

16n^2+20n+20n+25

16n^2+40n+25

Answer is option D.

Mark brainliest!!

Answer:

D

Step-by-step explanation:

The measure of the line segment AB is  36cm .

In the question ,

it is given that ,

The triangle ABC is a isosceles triangle ,

that means side AB = side BC ,

and the length of base AC = 24 cm .

given the perimeter of the triangle is 96 cm .

So ,

AB + BC + AC = 96

AB + AB + AC = 96       .....because AB = BC

2AB + AC = 96

Substituting the value of AC = 24 cm

2AB + 24 = 96

Subtracting 24 from both the sides , we get

2AB = 96 - 24

2AB = 72

Dividing both sides by 2 ,

we get ,

AB = 72/2 = 36 .

Therefore , The measure of the line segment AB is  36cm .

The given question is incomplete , the complete question is

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimeters.

What is the measure of Line segment AB ?

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The measures of the angles of the rhombus are as follow: m∠1 = 66°, m∠2 = 123°, m∠3 = 66 ° and m∠4 = 123°

A rhombus' opposite angles are congruent because all of its sides are congruent. Angles 1 and 3 therefore share the same measure, as do angles 2 and 4.

As a result of the fact that any quadrilateral's total angles equal 360°, we also have:

m∠1 + m∠2 + m∠3 + m∠4 = 360

Putting the given value of 114°, we get:

m∠1 + 114 + m∠3 + 114 = 360

Simplifying and solving for m∠1 and m∠3, we get:

m∠1 + m∠3 = 132

⇒ m∠1 = 132 - m∠3

Similarly, we have:

m∠2 + m∠4 = 246

⇒ m∠2 = 246 - m∠4

Since opposite angles in a rhombus are congruent, we have:

m∠1 = m∠3 and m∠2 = m∠4

Substituting these equalities, we get:

m∠1 = (132 - m∠1) and m∠2 = (246 - m∠2)

Solving for m∠1 and m∠2, we get:

⇒ m∠1 = 66°

⇒ m∠2 = 123°

Since opposite angles in a rhombus are congruent, we have:

⇒ m∠3 = m∠1 = 66°

⇒ m∠4 = m∠2 = 123°

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Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like \(P(t) = P_0*e^{r*t}\) and in our case \(P_0\) would be the initial population which is 6.63 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 3.01% or 0.0301.

This is how our function should look now \(P(t)=6.63*e^{0.0301*t}\)

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

\(P(t) = 6.63 * e^{0.0301*6}\)

\(P(t) = 6.63*e^{0.1806}\)

\(P(t) = 6.63 *1.1979\)

\(P(t) = 7.9423\ million\)

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 11 million and solving for t.

\(11 = 6.63*e^{0.0301*t}\)

\(\frac{11}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}\)

\(1.659=e^{0.0301*t}\)

\(ln(1.659)=ln(e^{0.0301*t})\)

\(\frac{0.506}{0.0301}=\frac{0.0301*t}{0.0301}\)

\(16.818\ years = t\)

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 11 million for P(t) we put 6.63 * 2 in there which is 13.26.

\(13.26 = 6.63*e^{0.0301*t}\)

\(\frac{13.26}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}\)

\(2=e^{0.0301*t}\)

\(ln(2)=ln(e^{0.0301*t})\)

\(\frac{0.693}{0.0301}=\frac{0.0301*t}{0.0301}\)

\(23.028\ years = t\)

Hope this helps!  Let me know if you have any questions

Answer:

Step-by-step explanation:

Answer: The answer is A, the tank starts with 10 gallons of gas.

Answer:

The first one

It shows how much it goes down throughout the journey, starting at 10

Step-by-step explanation:

Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.

Raquel’s net pay if she has the additional items withheld is $600.99. which is option A

The additional withholdings are:

Social Security tax: $45.04

Medicare tax: $10.54

State tax: $13.02

The total withholdings are $62 + $45.04 + $10.54 + $13.02 = $130.6

Raquel's net pay is $732 - $130.6 = $600.99.

So the answer is (a).

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