While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If the total distance of the roundtrip was 420 miles, find the speed driven while returning.

Answer:

  about 50.8 cubic meters

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²h

Put the given values into the formula and do the arithmetic.

  V = (1/3)π(3.4 m)²(4.2 m) = 16.194π m³

__

For π to calculator precision, this is ...

  V ≈ 50.84 m³

For π = 3.14, this is ...

  V ≈ 50.82 m³

Answer:

675 = variable expenses

Step-by-step explanation:

Take the total expenses and subtract the fixed expenses to find the variable expenses

1425-750 = variable expenses

675 = variable expenses

Step-by-step explanation:

While playing volleyball, probability of getting hurt is

P(A) = 0.1 = 1/10

and in the case of soccer, it is

P(B) = 0.2 = 2/10 = 1/5

Here we see, P(A) < P(B)

Answer: We can conclude that the probability of getting injured while playing soccer is more likely.

Answer:

y = x-2

Step-by-step explanation:

Pick two points on the line

(0,-2) and (2,0)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (0--2)/(2-0)

   = (0+2)/(2-0)

   2/2

  =

We know the y intercept is -2 (  where it crosses the y axis)

y = mx +b is the slope intercept form of the equation  where m is the slope and b is the y intercept

y = 1x -2

y = x-2

Answer: [tex]y=x-2[/tex]

Step-by-step explanation:

I explained the other problem you asked, why couldnt you apply that info to this one? Either way, Ill explain it again.

We can see the slope intercept is -2, so b = -2

To get the slope, just from visualization. Look at the y value and x value direction for which you gotta take to get to the next coords. From the y-intercept, you go up 1 and then right 1. 1/1 = 1

Given Information:

Mean daily demand  = 3.5 monitors

standard deviation daily demand = 1.2 monitors

Lead time = 25 days

customer service level = 90%

Required Information:

Safety Stock = ?

Answer:

Safety Stock = 8 monitors

Step-by-step explanation:

The  safety stock  of monitors that IM Systems should hold is given by

[tex]Safety \:\: Stock = z \times \sigma \times \sqrt{n}[/tex]

Where σ is the standard deviation of daily demand, n is the lead time and z is the z-score corresponding to 90% service level.

From the z-table, the z-score corresponding to 90% is found to be

z = 1.282

So the required safety stock  is

 [tex]Safety \:\: Stock = z \times \sigma \times \sqrt{n} \\\\Safety \:\: Stock = 1.282 \times 1.2 \times \sqrt{25} \\\\Safety \:\: Stock = 1.282 \times 1.2 \times 5 \\\\Safety \:\: Stock = 7.692\\\\[/tex]

Rounding off to nearest whole number yields

Safety Stock = 8 monitors

Therefore, IM Systems should hold 8 monitors.

Answer: 44°

Step-by-step explanation:

Measures of the angles of a triangle

= 180°

Therefore, 180 - 105 + 31 = 44°

The measure of the third angle is 44 degrees.

We have,

To find the measure of the third angle in a triangle, we can use the fact that the sum of the measures of all three angles in a triangle is always 180 degrees.

Let's denote the measure of the third angle as "x".

We are given that the measures of the other two angles are 105 degrees and 31 degrees.

Using the sum of angles in a triangle, we can set up the equation:

105 + 31 + x = 180

Simplifying the equation:

136 + x = 180

To isolate "x", we subtract 136 from both sides of the equation:

x = 180 - 136

x = 44

Therefore,

The measure of the third angle is 44 degrees.

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Answer:

8.33 grams of fat

Step-by-step explanation:

One serving of the milk contains 2.5 grams of fat.

2% milk has 70% less fat than whole milk.

This means 2% milk has 30% of the fat that whole milk has.

Let W = amount of fat in whole milk

30% of the fat that whole milk has

=30% × w

=30/100×w

=0.30×w

=0.30w

How many grams of fat are in an equivalent gram of whole milk

2.5g=0.30w

w=2.5g/0.30

=8.33 grams of fat

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years  

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = [tex]P(\bar F S)[/tex] ∪ [tex]P( \bar S F)[/tex] ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

[tex]=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)[/tex]

[tex]=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36[/tex]

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

Answer:

Option C and F

Step-by-step explanation:

=> Square and Plane a two-dimensional objects.

Rest of the objects are either 1 - dimensional or 3- dimensional.

Answer:

So in this problem, we're told that a polynomial is fact herbal and it's not a perfect square. Try no meal or a difference of two squares. Can you factor the pie? Nomi bite or polynomial without finding the G C F. So no Jacey after is allowed. So if it's not a perfect squared, try no meal. So not a perfect square. We know it's not this, and we also know it's not a difference of two squirt if it's not any of these or if it's not either of these, but we can't find the G. C F. There are three different ways we could find the factored form. You could do it by grouping where you separating the polynomial into two parts and factor them individually before combining. You could also use the sum or a difference of cubes. This is for a cubic or a um, polynomial of third degree, and you could also use fractional or negative exponents. So even if you can't find the G c f or use these methods, there are still three ways you can factor the

Step-by-step explanation:

Glad i could help!

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

[tex]n = 1537, \pi = \frac{353}{1537} = 0.2297[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507[/tex]

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Answer:

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 39368, \sigma = 2367[/tex]

What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe?

This is 1 subtracted by the pvalue of Z when X = 44520. So

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

[tex]Z = \frac{44520 - 39368}{2367}[/tex]

[tex]Z = 2.18[/tex]

[tex]Z = 2.18[/tex] has a pvalue of 0.985

1 - 0.985 = 0.015

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Answer:

(x-1)/13

Step-by-step explanation:

y = 13x+1

To find the inverse, exchange x and y

x = 13y+1

Solve for y

Subtract 1 from each side

x-1 =13y+1-1

x-1 = 13y

Divide each side by 13

(x-1)/13 = y

The inverse is (x-1)/13

Answer:

f(x) = 13x + 1

To find the inverse let f(x) = y

y = 13x + 1

x = 13y + 1

13y = x - 1

y = (x-1)/13

The inverse is x-1/13.

Answer:

a) 129 University of California undergraduates at Berkeley.

b) (i) social-class (ordinal), (ii) money (continuous), (iii) education (ordinal) , (iv) respected job (ordinal), (v) number of candies (continuous)

c) The main question is to find the relationship between socio-economic class and unethical  behaviour

Step-by-step explanation:

a) 129 University of California undergraduates at Berkeley.

b)

i) social-class (ordinal)

ii) money (continuous)

iii) education (ordinal)

iv) respected job (ordinal)

v) number of candies (continuous)

c) The main question is to find the relationship between socio-economic class and unethical  behaviour

Answer:

I think sample B is better.

Step-by-step explanation:

Its more careful and better

Answer:

K=14

Step-by-step explanation:

A=1/2*b*h

80=1/2*8*(6+k)       multiply by 2 on both sides

160=8*(6+k)            distribute by 8

160=48+8k              subtract 48 from both sides

112=8k                     divide by 8

14=K

Answer:

The relative change from 6546 and 4392 is 49.04

Step-by-step explanation:

Answer:

(1) a. 0.0009

(2) d. 0.640

(3)

(4)Not disjoint

(5) a. nearly 0.

(6)b. 0.919

Step-by-Step Explanation:

(1)Probability of a baby being born with a birth defect =3%=0.03

The probability that both babies have birth defects=0.03 X 0.03= 0.0009.

(2)The probability of contracting the influenza virus each year = 20%=0.2

Therefore, the probability of not contracting the influenza virus =1-0.2=0.8

The probability that neither baby catches the flu in a given year:

=0.8 X  0.8

=0.64

(3)

P(A)=0.1

P(B)=0.6

P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7

P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06

(4)

P(A)=0.2

P(B)=0.9

Event A and B cannot be disjoint.

(5)

The probability of an American woman aged 20 to 24 having Chlamydia infection  [tex]=\dfrac{2791.5}{100000}[/tex]

The probability that three randomly selected women in this age group have the infection

[tex]=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0[/tex]

(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection  [tex]=1-\dfrac{2791.5}{100000}[/tex]

The probability that three randomly selected women in this age group do not have the infection

[tex]=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919[/tex]

Answer:

0.7396 = 73.96% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The components operate independently. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Eight components:

This means that [tex]n = 8[/tex]

Probability of 0.45 of failing in less than 1,000 hours.

So 1 - 0.45 = 0.55 probability of working for longer than 1000 hours, which means that [tex]p = 0.55[/tex]

Find the probability that the subsystem operates longer than 1000 hours.

We need at least four of the components operating. So

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which

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

[tex]P(X = 4) = C_{8,4}.(0.55)^{4}.(0.45)^{4} = 0.2627[/tex]

[tex]P(X = 5) = C_{8,5}.(0.55)^{5}.(0.45)^{3} = 0.2568[/tex]

[tex]P(X = 6) = C_{8,6}.(0.55)^{6}.(0.45)^{2} = 0.1569[/tex]

[tex]P(X = 7) = C_{8,7}.(0.55)^{7}.(0.45)^{1} = 0.0548[/tex]

[tex]P(X = 8) = C_{8,8}.(0.55)^{8}.(0.45)^{0} = 0.0084[/tex]

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2627 + 0.2568 + 0.1569 + 0.0548 + 0.0084 = 0.7396[/tex]

0.7396 = 73.96% probability that the subsystem operates longer than 1000 hours.

Answer:

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f(x)=x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f(x) by a factor of 4, we have: 4x.

Next, if we take down f(x) by k units we have: y= f(x)-k

Therefore: Taking down 4x by 2 units, we obtain:

g(x)=4x-2

Therefore, Options A and B applies.

Answer:

0.75 ML of insulin contains 75 units of insulin

Step-by-step explanation:

U - 100 insulin hold 100 units of insulin per ml

This means that:

1 ML = 100 units

∴ 0.75 ML = 100 × 0.75 = 75  units

Therefore 0.75 ML of insulin contains 75 units of insulin

Answer:

3x+7

Step-by-step explanation:

Three times a number, let x be the number and 7 so plus 7

The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.

The given phrase is "the sum of three times a number and seven".

Variables and constants are combined to generate algebraic expressions using a variety of techniques. Terms comprise expressions. A term is the sum of several elements. Both numerical and algebraic (literal) factors are acceptable.

Let the unknown number be x.

Three times of a number = 3x

The number 7 is added to the  obtained sum.

That is, 3x+7

So, the expression is 3x+7

The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.

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Answer:

(B) [tex]\dfrac{10}{39}[/tex]

Step-by-step explanation:

Number of red marbles = 5

Number of white marbles = 8

Total =8+5=13

Event A = drawing a white marble on the first draw

Event B = drawing a red marble on the second draw

P(A)=8/13

P(B)=5/12

Therefore:

P(A and B)

[tex]=\dfrac{8}{13} \times \dfrac{5}{12}\\\\=\dfrac{10}{39}[/tex]

Answer:

Your answer is B

Step-by-step explanation:

Answer:

2/6, 4/12, 8/24, 16/48, 32/96 ect....

Step-by-step explanation:

I hope this helps I really didnt know if this is what you were asking about

Answer:

a2+b2=c2

Step-by-step explanation:

find the saqure roof of two

Answer:

(∞,∞), (a /a∉R)

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(1+-3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 = -1

(-1,-1)

Answer:

125 r. 10

Step-by-step explanation:

Answer:

[tex]\mathrm{12\sqrt{5} \: \: inches}[/tex]

Step-by-step explanation:

Use Pythagorean theorem, where:

[tex]a^2+b^2=c^2[/tex]

Substitute in the values.

[tex]24^2+12^2=c^2[/tex]

[tex]c^2=576+144[/tex]

[tex]c^2=720[/tex]

[tex]c=\sqrt{720}[/tex]

[tex]c=12\sqrt{5}[/tex]

[tex]c=26.83281[/tex]

Answer:

It’s 0.12

Step-by-step explanation:

Took test

Answer:

3056.6 cm^2

Step-by-step explanation:

A = (pi)r^2 = 3.14 * 31.2 cm * 31.2 cm = 3056.6 cm^2

Answer: 3056.60 sq. cm.

Step-by-step explanation:

Area of a circle = π x r^2

= 3.14 x 31.2^2

= 3056.60