Solution :
Given :
[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]
Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]
[tex]$=\frac{294}{388}$[/tex]
= 0.7577
Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]
[tex]$=\frac{38}{566}$[/tex]
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]
[tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]
[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]
= [tex]$0.6906 \pm 0.0472 $[/tex]
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
HElp And thaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaanks
Answer:
C or A
But I pick A
Step-by-step explanation:
Answer:
best option is A
Step-by-step explanation:
Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?
Answer:
3c + 43 >_ 100
Step-by-step explanation:
help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
4x + 3 2x+9 solve for x
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given figure
4x + 3° ...(1)
2x + 9° ...(2)
Now, we know that the sum of all angle is 180° on a straight line
So,
4x + 3° + 2x + 9° = 180°
6x + 12° = 180°
6x = 180° - 12°
6x = 168°
x = 168° ÷ 6
x = 28°
Thus, The value of x is 28°
FOR VERIFICATION ONLY:-4x + 3° + 2x + 9° = 180°
4(28) + 3° + 2(28) + 9° = 180°
112° + 3° + 56° + 9° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Help with math please, just 7 and 9. Please explain thanks.
Answer: #7 x=16 #9 x=27
Step-by-step explanation:
#7
This is an isosceles triangle, so the angles formed at the base of the congruent sides are equal.
5x-7=8x-55
48=3x
16=x
#9
This is an equilateral triangle (if 2 angles are 60, the third has to be 60 as well) so the sides are equal
7x+19=11x-89
108=4x
27=x
Question
What was the equation of the graph below before it was shifted to the right 1
unit?
help please i have 3 more questions left !!
Answer:
[tex]24[/tex]°
Step-by-step explanation:
its a straight line so the total is 180, so we subtract from 180
180-156= 24
For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value.
In the first case answer IND, in the second case enter the numerical value, and in the third case answer DNE.
For example:
IND: 0/0
0: 0/1
DNE: 1/0
Note that Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. 1/-[infinity]
2. 0 - [infinity]
3. 0[infinity]
4. [infinity][infinity]
5. 0−[infinity]
6. [infinity]−[infinity]
7. [infinity]−e
8. 1[infinity]
9. π−[infinity]
10. π[infinity]
11. 1 −[infinity]
12. [infinity]1
13. [infinity]−[infinity]
14. 0/[infinity]
15. [infinity]0
16. 00
17. 10
18. 1 - [infinity]
19. [infinity]/0
20. inf - inf
Step-by-step explanation:
1. 1/-[infinity] = 0
2. 0 - [infinity] = -∞
3. 0[infinity] = 0
4. [infinity][infinity] = IND
5. 0−[infinity] = -∞
6. [infinity]−[infinity] = ∞
7. [infinity]−e = ∞
8. 1[infinity] = ∞
9. π−[infinity] = -∞
10. π[infinity] = ∞
11. 1 −[infinity] = -∞
12. [infinity]1 = ∞
13. [infinity]−[infinity] = ∞
14. 0/[infinity] = IND
15. [infinity]0 = 0
16. 00 = 0
17. 10 = 10
18. 1 - [infinity] = -∞
19. [infinity]/0 = DNE
20. inf - inf = ∞
Suppose that you're paid $63.24 for 7 hours of work. What is your hourly pay rate?
Answer:
$9.03
Step-by-step explanation:
Using x for pay rate
63.24=7x Divide both sides by 7
x=9.03
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
PLEASE HELP NOW!!!
fill in "always", "sometimes", or "never" to make a correct statement.
if you add a multiple of 4 and a multiple of 7, the sum is ____ a multiple of 7
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
4 + 7 = 11 . . . not a multiple of 7
28 + 7 = 35 . . . a multiple of 7
If you add a multiple of 4 and a multiple of 7, the sum is sometimes a multiple of 7.
__
It will be a multiple of 7 when the multiple of 4 used is a multiple of 7, such as 4×7 or 4×14 or 4×21, for example.
Please help ! Please help!
Answer:
113 degrees
its really hard to explain it on this app
hasann please help me
Answer:
The length and width and height is already given.
Length is: 3 1/2
Width is: 1 1/2
Height is: 2 1/2
The volume of this would be all given lengths multiplied.
Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3
Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.
What was the original price of the sweater, in dollars
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation: Sorry if this doesn't help....
Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
Frank turns his steering wheel a full circle of 360°. Which statement best represents the
movement of the steering wheel?
A. The wheel makes 260 one-degree turns.
B. The wheel makes 360 ten-degree turns.
C. The wheel makes 360 one-degree turns.
D. The wheel makes 360 one hundred-degree turns. (I can NOT go in websites to get the answer and pls give a example on how you did the problem. Thank you)
Answer:
C. The wheel makes 360 one-degree turns.
Step-by-step explanation:
A full circle is 360°, that is, there are 360 degrees in a circle.
You can check how many total degrees the steering wheel is turned for each option by multiplying the number of turns by the number of degrees for each turn:
For A: 260 one-degree turns is (260 turns) × (1 degree per turn) = 260 degrees turned. This is not equal to the given fact that Frank turns a full circle of 360 degrees. So A is not correct.For B: 360 ten-degree turns means a total of (360 turns) × (10 degrees per turn) = 3600 degrees turned, which does not equal one turn of 360 degrees. So B is not correct.For C: 360 one-degree turns means a total of (360 turns) × (1 degree per turn) = 360 degrees turned, which is one full circle.For D: 360 one-hundred degree turns means a total of (360 turns) × (100 degrees per turn) = 36000 degrees turned, which is not 360 degrees. So D is not correct.what are the importance of knowing the theorems on midline, trapezoid and kite
Answer:
It is important because it allows you to calculate the surface area of a trapezoidal prism
Step-by-step explanation:
A population of 65 foxes in a wildlife preserve triples in size every 12 years. The function y = 65.3*, where x is the number of 12-year periods, models the population growth. How
many foxes will there be after 36 years?
After 36 years there will be foxes. (Type a whole number.)
Answer:
585 foxes
Step-by-step explanation:
36/12 = 3
That means there are 3 fifteen-year periods in 36 years.
So after 3 fifteen-year periods, there will be 65 × 3³ foxes
That is 75(27) foxes
585 foxes
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these. None, Positive, or Negative thanks so much.
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The higher the amount you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
triangle and cylinder is your answer
The answer of 4.38 x 10^4 in ordinary notation is
4,38 * 10⁴ = 4,38 * 10 000 = 43 800
Taft Middle School is painting a circle on their playground with a radius of 9 feet. What will be the total
area of the circle, in square feet?
Use T = 3.14, and round your answer to the nearest hundredth.
Answer:
Area of a circle = PI * radius^2
Area = 3.14 * 9^2
Area = 3.14 * 81
Area = 254.34 square feet
Step-by-step explanation:
15 + z = 17.04
What is Z?
Answer:
2.04
Step-by-step explanation:
To find this we have to subtract 15 from both sides.
15 + z = 17.04
-15 -15
z = 2.04
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
dilated by a scale factor or 2, what is the slope and length
of A'B?
No links pls!!!
Answer:
ehhhhhhhhhhhhhhhhhhh
independent compound event definition
Answer:
Independent events occur when the outcome of one event does not affect the outcome of the second event. Rolling a four has no effect on tossing a head. To find the probability of two independent events, multiply the probability of the first event by the probability of the second event.
Other answer:
A compound event is the combination of two or more simple events (with two or more outcomes). Compound Probabilities (with more than one outcome (desired result) within a trial ): • The probability of rolling an even number less than 5 on a die. (
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
$405,44
Step-by-step explanation:
First of all we have to find how much the tv cost after 15% of discount.
we can use this proportion
15 : 100 = x : 499.99
x = (15*499.99)/100 = $74.9985
then we have to subtract the initial value to the value of the discount
499.99-74.9985 = $424,9915
thanks to the card we can apply another 10%
10 : 100 = x : 424,9915
x = (424,9915 *10)/100 = $42,49915
424,9915-42,49915 = $382,49235
now we have to apply taxes
6:100 = x : 382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
that can be rewrite as $405,44
If we want to write an equation to solve this problem we can use this
499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x