The sum or two numbers is 59. the larger number is 15 more than the smaller number. What are the numbers

Answer:

The sample proportion of undergraduate students that used library books is 0.5286.

Step-by-step explanation:

The sample proportion is the number of desired outcomes divided by the size of the sample.

In this question:

Sample of 70 undergraduate students, 37 had used library books.

[tex]p = \frac{37}{70} = 0.5286[/tex]

The sample proportion of undergraduate students that used library books is 0.5286.

Answer:

The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:

y=3/2x-4.

Step-by-step explanation:

You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4.  First of all, remember what the equation of a line is:

y = mx+b  Where:  m is the slope, and  b is the y-intercept

All you really have to do here is  replace m with 3/2, which is the slope you gave, and  replace b with -4, the y-intercept you gave,  in the equation y=mx+b.

Answer:

I think the answer might be 13. I don't know it is wrong or not

Answer:

a) [tex]f(x) = 45300 + 143x[/tex]

In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.

b) 47,016 miles.

Step-by-step explanation:

Question a:

Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it.

So, after x days of work, the amount of miles driven will be given by

[tex]f(x) = 45300 + 143x[/tex]

In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.

Question b:

After 4*3 = 12 days of work. So

[tex]f(12) = 45300 + 143*12 = 47016[/tex]

47,016 miles.

Answer:

=415

Step-by-step explanation:

The girl in that picture is so pretty oml so if its you then you pretty a.ff

Answer:

30 sixth graders

Step-by-step explanation:

50% = 0.50

multiply 60 by the decimal fraction of the percentage:

60 x 0.50 = 30

you can also just take 60 and divide by 2 since 50% means half

Answer:

Yes; Inverse Property...

I hope it helps..

Answer:

Bro the answer is A

Step-by-step explanation:

trust me straight 100% brain dead person

Answer:

11cm

Step-by-step explanation:

Given data

Volume of cuboid =385 cm^3

Base area= 35cm^2

We know that

Volume = Area* Height

substitute and solve for Height

385=35*H

H= 385/35

H= 11cm

Hence, the height is 11cm

Answer:

?

Step-by-step explanation:

What are you even asking-

Answer:

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

3.14x6.25

19.625

Answer:

19.625

Step-by-step explanation:

Answer:

The parachutist's rate of fall is 132 feet per second. In turn, in 5 seconds, the parachutist will drop 660 feet.

Step-by-step explanation:

Given that a parachutist's rate during a free fall reaches 90 miles per hour, to determine what is this rate in feet per second and, at this rate, how many feet will the parachutist fall during 5 seconds of free fall, knowing that 1 mile is equal to 5280 feet, the following calculations must be performed:

90 x 5280 = 475,200

475,200 / 60/60 = X

7,920 / 60 = X

132 = X

Thus, the parachutist's rate of fall is 132 feet per second.

132 x 5 = 660

In turn, in 5 seconds, the parachutist will drop 660 feet.

the answer is no. the solution is (1.333, 7.333)

Answer: No, it is not a solution

Step-by-step explanation:

Substitute the value of x as 1 and y as 6

y = x + 6

6 = 1 + 6

6 = 7 (no)

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

y = 4x + 2

6 = 4(1) + 2

6 = 4 + 2

6 = 6 (Yes)

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

Even though the solution works in the second equation, it does not work in the first

Therefore (1,6) is not a solution to the system of equations

Answer:

No clue, but i would recommend using desmos,  mathpapa, quizlet,

Step-by-step explanation:

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

[tex]f(x)=(x-2)^{2}+1[/tex]

45)

The function g(x) is given by:

[tex]g(x)=f(x-1)[/tex]

using f(x) we can find f(x-1)

[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

[tex]g(x)'=2(x-3)[/tex]

[tex]2(x-3)=0[/tex]

[tex]x=3[/tex]

Puting it on g(x) we will get y value.

[tex]y=g(3)=(3-3)^{2}+1[/tex]

[tex]y=g(3)=1[/tex]

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

[tex]g(x)=f(x+2)[/tex]

[tex]g(x)=((x+2)-2)^{2}+1[/tex]

[tex]g(x)=(x)^{2}+1[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2x[/tex]

[tex]0=2x[/tex]

[tex]x=0[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(0)=(x)^{2}+1[/tex]

[tex]g(0)=1[/tex]

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

[tex]g(x)=f(x)+2[/tex]

[tex]g(x)=(x-2)^{2}+1+2[/tex]

[tex]g(x)=(x-2)^{2}+3[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}+3[/tex]

[tex]g(2)=3[/tex]

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

[tex]g(x)=f(x)-3[/tex]

[tex]g(x)=(x-2)^{2}+1-3[/tex]

[tex]g(x)=(x-2)^{2}-2[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}-2[/tex]

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

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

Answer:

400 grams

Step-by-step explanation:

12ounce= 340.19 grams approximately

So,its best to buy the package that weighs 400 grams

Answer:

0.0416

Step-by-step explanation:

Given :

Sample size, n = 300

Sample mean, x = 35.5

Population mean, m = 35

Standard deviation, s = 5

The test statistic :

Zstatistic = (x - m) / s/sqrt(n)

Zstatistic = (35.5 - 35) / 5/sqrt(300)

Zstatistic = 0.5 / 0.2886751

Zstatistic = 1.732

Using the p value calculator from Zstatistic :

One tailed P value at 95% confidence interval is : 0.0416

Answer:

0.513 = 51.3% probability of being a female.

Step-by-step explanation:

We are given the following formula:

[tex]P(F \cup C) = P(F) + P(C) - P(F \cap C)[/tex]

In which:

Event F: Female

Event C: Red-green color blindness.

Probability of a Female

We have to find P(F), which is given by:

[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C)[/tex]

We are given by:

[tex]P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548[/tex]

So

[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513[/tex]

0.513 = 51.3% probability of being a female.

Answer:

Each part of the angle would measure 12 degrees

Step-by-step explanation:

Answer:

520 miles

Step-by-step explanation:

65 mph * 8 hours = 520 miles

I hope this helps :)

9514 1404 393

Answer:

  a. The value of A₀ changes from 10 to 20

  b. t is replaced by (t-5)

Step-by-step explanation:

a. The given formula comes with a description that says A₀ is the initial dose in mg. If the initial dose changes from 10 mg to 20 mg, then A₀ changes from 10 to 20. The function becomes ...

  A = 20·0.97^t

__

b. Shifting the graph of the function to the right by 5 minutes is accomplished by replacing t with (t-5). At the same time, the domain changes from t ≥ 0 to t ≥ 5. The function becomes ...

  A = A₀·0.97^(t-5) . . . . . . . . for t ≥ 5

Answer:

132,600 possibilities

Step-by-step explanation:

The first one chosen can be 1 of 52

The 2nd one chosen is 1 out 51

And the 3rd chosen is 1 out 50

So...

52 x 51 x 50 = 132,600

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The number of groups of 3 customers that can be chosen from a collection of 52 store customers can be calculated using the combination formula:

nCr = n! / r!(n - r)!

where n is the total number of customers (52) and r is the number of customers chosen (3).

Substituting the values, we get:

52C3 = 52! / 3!(52 - 3)!

52C3 = 52! / 3!49!

52C3 = (52 × 51 × 50) / (3 × 2 × 1)

52C3 = 22,100

Therefore,

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

Learn more about combination here:

https://brainly.com/question/14355408

#SPJ2

Answer:

= 22:4 :: x : 16

22*16 = 4x

352 = 4x

x = 352/4

x = 88

Hope this helps you. Do mark me as brainliest.

Answer:

-64

Step-by-step explanation:

The computation of the 10th term of the progression is shown below:

The 3rd term is -9

A_n = a + (n - 1)d

-9 = a + (3 - 1)d

-9 = a + 2d

-9 - 2d = a

Now the 7th term is -29

A_n = a + (n - 1)d

-29 = a + (7 - 1)d

-29 = a + 6d

Put the a value to the above equation

-29 = -9 - 2d + 6d

-29 + 9 = 4d

-20 = 4d

d = -5

Now

-9 - 2d = a

-9 - 2(-5) = a

-9 - 10 = a

a = -19

Now finally the 10th term of the progression is

= a + (n - 1)d

= -19 + (10- 1)-5

= -19 -45

= -64

Answer:

C) x³-3x²-18x

Step-by-step explanation:

x³-6x²+3x²-18x

x³-3x²-18x