Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned
something new in the past month. Previous studies have suggested that about 40% would answer "yes" to this
question. The researchers plan on using a confidence level of 95%, and they want the margin of error to be no
more than 25%.

Answer:

x=7

Step-by-step explanation:You can plug in the value for x and solve to see if true.

Answer:

other root: x = 9

p = 7

Step-by-step explanation:

first, find p:

(8)² - (3p - 4)8 + 11p -5 = 0

64 - (24p - 32) + 11p - 5 = 0 –––––> 64 - 24p + 32 + 11p - 5 = 0

91 - 13p = 0

-13p = -91

p = 7

plug in p to find the polynomial:

x² - (3(7) - 4)x + 11(7) - 5 = 0

x² - (21 - 4)x + 77 - 5 = 0

x² - 17x + 72

find the roots:

we know that 8 is one of the roots, so one factor is (x - 8)

the other number needs to be something that equals -17 when added with -8 and 72 when multiplied by -8

that number is -9

so the poly nomial factors to be: (x-8)(x-9)

so the roots are x = 8 and x = 9

Answer:

p = 7

Step-by-step explanation:

x²-(3p-4)x+11p-5=0    ...(1)    Root: 8, x-8 is factor

(x-8) (x- (11p-5)/8) = 0

x² -8x - ((11p-5)/8)*x + (11p-5) = 0

x² - (8 + (11p-5)/8) x + 11p-5 = 0   ----(2)

compare(1) and (2): 3p-4 = 8 + (11p-5)/8

24p - 32 = 64 + 11p - 5

13p = 91

p = 7

check: x²-(3p-4)x+11p-5 = x²- 17x + 72 = (x-8)(x-9)

Answer:

Step-by-step explanation:

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]

[tex](a^{m})^{n}[/tex] = [tex]a^{mn}[/tex]

~~~~~~~~~~~~~

[tex]9^{2}[/tex] × [tex]3^{6}[/tex] = (3²)² × [tex]3^{6}[/tex] = [tex]3^{2*2+6}[/tex] = [tex]3^{10}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

A period is how long a wavelength takes.

By picking the maximum y point, you look for the X difference between the first maximum and the second one.

NOTE: I may not be reading your graph correctly as the resolution is quite low, but I got it.

Answer: 1/2 and 8

Step-by-step explanation:

Factor out a 1/2

1/2(a - 8)

Answer:

8 dimes

Step-by-step explanation:

A quarter is $0.25, so 0.25 should be multiplied by the number of quarters she has:

0.25 * 12 = 3.00

A nickel is $0.05, so 0.05 should be multiplied by the number of nickels she has:

0.05 * 7 = 0.35

If we add this together, we get 3.35, and the rest of the money Courtney has is in dimes. First, find the amount of money left:

4.85 - 3.35 = 1.50

A dime is $0.10, so divide the amount of money left by 0.10 to find the number of dimes Courtney has:

1.50 ÷ 0.10 = 15

Subtract 15 by the number of nickels Courtney has to find how many more dimes she has than nickels:

15 - 7 = 8 dimes

b one root is negative of the other root

Answer:

about 48 miles a week

Step-by-step explanation:

2500 divided by 52 (number of weeks in a year)=

625 divided by 13=  48.076923

about 48 miles

Answer:

The answer is is 48.1 miles Every week

Step-by-step explanation:

We know that there are 52 weeks in the year and beyond 2500 mpt now we can calculate the number of miles that are conducted every week through

[tex] \frac{2500}{52} = 48.1 \:[/tex]

Answer:

she have 2 1/2 pound of potatoes left.

all you have to do is subtract the fraction.

again, the answer is,

[tex]2 \frac{1}{2} [/tex]

Answer:

4085 milimeters

Answer:

4085 millimeters

Step-by-step explanation:

You get this answer because 1 meter equals 1000 millimeters. You convert 4 meters into 4000 millimeters and then add that 4000 to the 85 millimeters and thats how you get your answer of 4085 millimeters.

Answer:

18x+20=2

18(-1)+20=2

Step-by-step explanation:

18(-1)=-18

-18+20=2

Answer:

C

Step-by-step explanation:

x = 3

y = -4

(3, -4)

Answer:

The answer is C

Step-by-step explanation:

(3,-4)

.................dhdhdgdhdusjshshshs

Answer:

3

Step-by-step explanation:

as the hour goes up one the temperature rises by 3

Answer: $6.88

Step-by-step explanation:

Answer:

$7.52

Step-by-step explanation:

7.20×4.5%=32

7.20+32=$7.52

Answer:

100

Step-by-step explanation:

mode : the most common number that appears

Answer:

100

Step-by-step explanation:

The mode is the number that is repeated the most. In this case, 100 is the only number that is repeated, and therefore it is the mode.

Answer:

x = 17, -3

Step-by-step explanation:

I'm not sure why this is the answer I only know because I've had it before

pretty sure you have to use (b/2) ^2

The complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Rearranging the equation x² - 51 = 14

x²- 14x -51 = 0
x² - 14x + 49 - 49 - 51 = 0
(x - 7)² = 100
x - 7 = √100
x - 7 = ± 10
Taking RHS positive,
x - 7 = 10
x = 17
Taking RHS negative
x - 7 = -10

x = 7 - 10
x = -3

Thus, the complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

Learn more about polynomial function here:

https://brainly.com/question/12976257
#SPJ5

Answer:

40 miles

Step-by-step explanation:

Since we are dealing in mph, change the minutes to hr

15 min: 15/60 = .25 hrs

3 min: 3/60 = .05 hrs

:

Let t = his normal drive time to work in hrs

then

40t = the distance to work

Write a distance equation; dist = speed * time

50(t-.25 + .05) = 40t

50(t - .20) = 40t

50t - 10 = 40t

50t - 40t = 10

10t = 10

t = 1 hr normal time to work

therefore

40(1) = 40 mi to work

:

:

Confirm this by finding the dist when he went 50 mph for 48 min (.8hrs)

50(1-.25+.05) = 50(.8) = 40 mi also

Answer: (14)(-2/4.89)

i’m currently doing a test with the same expression as yours, i tried googling the answer which was no help. i eventually decided to work it out on my own and i came up with this answer

Answer:

10.3 m/s

Step-by-step explanation:

Speed = Distance / Time

100 metres travelled in 9.7 seconds means that her speed was 100/9.7 metres per second, which is 10.30927... rounded to 10.3 metres per second.

Answer:

3n-1

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

Multiply both the divisor and the dividend by 10 to make it easier to divide

Step-by-step explanation:

As given division equation in a more suitable format that shows the dividend and the divisor that is = [tex]\frac{5.72}{0.52}[/tex]

so now we we will make the two parts to be whole number

first factor to muliply both dividend and divisor by is looking at their decimal place as they both have two decimal places

so, that we multiplying both of them by a 10 will make them whole numbers

so so correct answer is 10

[tex]\frac{5.72\times 10}{0.52 \times 10} =[/tex]  11

9514 1404 393

Answer:

  4, 5, 6, maybe 2

Step-by-step explanation:

You're looking for values strictly between 6 and 7. In decimal, the number will have a leading digit of 6 and a non-zero decimal fraction.

1. √36 = 6 . . . out of range

2. 2πr ≈ 6.28r . . . value depends on r (presumed not in range)*

3. 14/2 = 7 . . . out of range

4. 1/0.15 ≈ 6.666...(repeating) . . . in range

5. 25/4 = 6.25 . . . in range

6. tan(81°) ≈ 6.31... . . . in range

____

* of course, 2π will be in range.

Answer:

Y=-5.6

x=.9

Step-by-step explanation:

Isolate the x:

6x=11+y

2x=7-3y

multiply top by 3 to get rid of y(3y and -3y cancel each other out)

18x=11

2x=7

put them together:

20x=18

divide by 20

x=0.9

to find y plug in x to the first equation:

y=6(.9)-11

y=5.4-11

y=-5.6

I hope this is right, and that it helps!

Answer:

A) -8/5

Step-by-step explanation:

First, convert -8/5 and -5/8 to decimals

-8/5 = -1.6

-5/8 = -0.625

-0.5 is greater than -0.625 because it is closer to 0.

So, the only number less than -0.625 is -8/5, which is equivalent to -1.6

So, the correct answer is A) -8/5

Answer:

no

Step-by-step explanation: