What is the elapsed time between 10:05am 10:51am

Answer:

Following are the solution to these question:

Step-by-step explanation:

Following are the binomial distribution with parameters:

[tex]n = 12\\\\p = 0.24[/tex]

For point a:

[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]

For point b:

[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]

For point c:

[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]

Answer:

Melanie is correct

Step-by-step explanation:

35% of 85 is 29.75 so take that away from the original price and you get 55.25

This means the price will be 55.25$

Answer:

Melanie is correct since 65% of $85.00 is $55.25.

Step-by-step explanation:

The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.

The discount on the shoes is 35%.

100% - 35% = 65%

That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.

65% of $85.00 =

= 0.65 * $85.00

= $55.25

Answer: Melanie is correct since 65% of $85.00 is 55.25.

Answer:

1) x represents the # of cranes

  3x represents the # of cranes * 3 minutes

  10 represents the time the centerpiece took

  30 is the time limit

2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]

Btw, i'm not sure which way the signs go since I learned this a while ago.

Step-by-step explanation:

Good Luck!!!

Answer:

?

Step-by-step explanation:

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer:

-3

Step-by-step explanation:

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

B

Step-by-step explanation:

Answer:

3,990

Step-by-step explanation:

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Answer:

hope it helps...

Step-by-step explanation:

Answer:

The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.

Step-by-step explanation:

In the picture

Answer:

$41, 863. 50

Step-by-step explanation:

$2000 - 6.5% = $1,993.50

$1,993.50 x 21 = $41, 863. 50

Answer:

11494.04 units

Step-by-step explanation:

V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032

Answer:

4

Step-by-step explanation:

[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]

[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]

[tex] =2(1+\cos 0) \times 1 [/tex]

[tex] = 2(1+1) [/tex]

[tex] = 2(2) [/tex]

[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]

Answer:

30

Step-by-step explanation:

I think that's the answer but if I'm wrong tell me right away I'll try another method.

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6