Let f(x)=−42x+3. Evaluate f(−1)

Answer:

12

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

Answer:

28.25

Step-by-step explanation:

Area = C²/ 4π = 28.245673384359

Answer:

28.25 units^2

Step-by-step explanation:

Hope this helps!

Answer:

27%

Step-by-step explanation:

6/22 is 0.27. when you divide 6 by 22 you get the decimal.

Answer:

27%

Step-by-step explanation:

Answer:

C) 1/6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We have 8 + 10 + 4 + 2 = 24 coins

Of those, 4 are nickels. So

[tex]p = \frac{4}{24} = \frac{1}{6}[/tex]

The correct option is given by option C.

Answer:

sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2500/150=16 2/3

but we dont want 2/3 of a person so just ignore that part

im in a hurry sorry

Answer:

16

Step-by-step explanation:

assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.

Answer:

553 acres

Step-by-step explanation:

94010 ÷ 170 =553

Answer:

D

Step-by-step explanation:

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial 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.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

[tex]\mu = np[/tex]

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So

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

[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Answer:

if you want an equation... an example could be

y=3x+5

Step-by-step explanation:

Answer:

Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

pls give brainliest

Answer:

This seems to be a linear relationship:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

We know that 3 workers can complete the job in  4 days.

Then if we define W as the rate at which a single worker can complete the work, we have the ordered pair (3 workes, 4 days)

And we also know that 6 workers can finish the job in 3.05 days, then we also have the ordered pair (6 workers, 3.05 days)

Then using these two, we can find the slope of the line:

a = (3.05 days - 4 days)/(6 workers - 3 workers) = -0.35 days/worker.

Then we have the equation:

y = (-0.35 days/worker)*x + b

Where:

y represents the time to complete the job

x represents the number of workers.

b is the y-intercept, to find the value, we could just replace one of the points in the equation, for example with the point (3 workes, 4 days) we need to replace x by 3 workers, and y by 4 days:

4 days = (-0.35 days/worker)*3 workers + b

4 days = -1.4 days + b

4 days + 1.4 days = 5.4 days  = b

then the equation is:

y = (-0.35 days/workers)*x + 5.4 days.

Now we can find the number of days needed for 5 workers to finish the job, we just need to replace x by 5 workers:

y = (-0.35 days/workers)*5 workers + 5.4 days

y = 3.65 days.

answer is 150

pls give branliest

Answer: 72

Step-by-step explanation: A = ½(b 1 +b 2)h

Answer:

what are you trying to find.How many degrees to z or y

Step-by-step explanation:

Answer:

Ok Now this is Hard for me Lets Just Say That Its 1 each day if though its not the answer

Step-by-step explanation: anyway Nothing

Answer:

0.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps! :)

Answer: 18

Step-by-step explanation: Add them all together to get the answer to the equation <3

Answer:

Choice 3: AAS

Step-by-step explanation:

We can prove that by AAS that means we need two congruent angles and one congruent side.

The first angle will be the vertical pair <FBG and <DBC.

The second angle will be the alternate interior pair <G and <D.

The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].

Answer:

20.5

Step-by-step explanation:

20 + 21 = 41.   Divide 41 by 2 than you get 20.5.

The first quartile of the given data set is 20.

Here,

To find the first quartile of a data set, we first need to arrange the data in ascending order.

Then, we can calculate the position of the first quartile using the formula:

Position of the first quartile (Q1) = (n + 1) / 4

where n is the number of data points in the data set.

Given data set: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40

Arranging the data in ascending order: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40

Now, let's calculate the position of the first quartile:

n = 11 (since there are 11 data points in the data set)

Position of the first quartile (Q1) = (11 + 1) / 4 = 12 / 4 = 3

The first quartile (Q1) is the value at the 3rd position in the ordered data set, which is 20.

So, the first quartile of the given data set is 20.

learn more on quartile :

https://brainly.com/question/29081024

#SPJ7

Answer:

Step-by-step explanation:

Answer:

24*4=96

Step-by-step explanation:

lcm of 8 and 12 is 24

hcf of 8 and 12 is 4

24 times 4 = 96

Answer:

Step-by-step explanation:

Answer:

2.8, 3, 3.2                           jhgfdsdrftggggggbhjn

Answer:

1 1/3 gallons of shampoo

Step-by-step explanation:

The above question is calculated as:

5 hairdressers = 6 2/3 gallons of shampoo

1 hairdresser = x gallon

We cross Multiply

5 hair dressers × x gallon = 6 2/3 gallons × 1 hair dresser

x gallon = 6 2/3 gallons × 1 hair dresser/5 hair dressers

x gallons = 6 2/3 gallons ÷ 5

x gallons = 20/3 gallons ÷ 5

= 20/3 × 1/5

= 4/3

= 1 1/3 gallons of shampoo

Therefore, each hair dresser would receive 1 1/3 gallons of shampoo

Answer:

No.

Step-by-step explanation:

For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.

Now we have two equations. y=x+z, and z=0.1x.

For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.

We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that 1 lb=16oz

16 oz almonds = costs 8 dollars , we divide the cost to oz

8/16=0.5 dollars / oz

4.10/0.5=8.2 oz

for 4.10 dollars you buy 8.2 oz

Step-by-step explanation: Notice that the angle diagonal

of the 114° is a vertical angle and vertical <'s are ≅.

Now, notice that we have two parallel lines cut by a transversal.

If two parallel lines are cut by a transversal, then

consecutive interior angles are supplementary.

So we can setup the equation 114 + y + 12 = 180.

Simplifying on the left gives us 126 + y = 180.

Now subtract 126 from both sides to get y = 54.

Answer:

0.82375

Step-by-step explanation:

6.59 / 8 = 0.82375 oz / dollar

if correct, pls mark 5 star, thanks, and brainliest!

Step-by-step explanation:

49

only the positive 49

hope this helps bro!!

Answer:

2sqrt(3)

Step-by-step explanation:

.............