Solution :
[tex]$p = \frac{28}{30}$[/tex]
= 0.93
Given :
[tex]$a=0.05$[/tex]
[tex]$z(0.025)=$[/tex] [tex]$1.96$[/tex] (from standard normal table)
So the lower bound is
[tex]$=p+z\times \sqrt{p \times \frac{1-p}{n}}$[/tex]
[tex]$=0.7+0.93\times \sqrt{0.7 \times \frac{1-0.7}{30}}$[/tex]
= 1.63 + 0.083
[tex]$=1.73$[/tex]
Complete the input-output table for log4X. How would I solve this?
Answer:
[tex]x \to f(x)[/tex]
[tex]0.25 \to -1[/tex]
[tex]0.5 \to -0.5[/tex]
[tex]1 \to 0[/tex]
[tex]2 \to 0.5[/tex]
[tex]4 \to 1[/tex]
[tex]8 \to 1.5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = log_4(x)[/tex]
[tex]x = 0.5[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(0.5) = log_4(0.5)[/tex]
Apply law of logarithm
[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(0.5) = -0.5[/tex]
[tex]x = 1[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(1) = log_4(1)[/tex]
Express 1 as 4^0
[tex]f(1) = log_4(4^0)[/tex]
Apply law of logarithm
[tex]f(1) = 0*log_4(4)[/tex]
[tex]f(1) = 0[/tex]
[tex]x = 2[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(2) = log_4(2)[/tex]
Apply law of logarithm
[tex]f(2) = \frac{log(2)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(2) = 0.5[/tex]
[tex]x = 4[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(4) = log_4(4)[/tex]
[tex]log_a(a) = 1[/tex]
So:
[tex]f(4) = 1[/tex]
[tex]x = 8[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(8) = log_4(8)[/tex]
Apply law of logarithm
[tex]f(8) = \frac{log(8)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(8) = 1.5[/tex]
So, the complete table is:
[tex]x \to f(x)[/tex]
[tex]0.25 \to -1[/tex]
[tex]0.5 \to -0.5[/tex]
[tex]1 \to 0[/tex]
[tex]2 \to 0.5[/tex]
[tex]4 \to 1[/tex]
[tex]8 \to 1.5[/tex]
PLEASE HELP ILL MARK BRAINLIEST
Answer:
convert it to improper fractions first
Step-by-step explanation:
4 x 7 + 3 = 31
So, 7 3/4 = 31/4
Similarly, 5 x 2 + 2 = 12
So, 2 2/5 = 12/5
Now we have,
31/4 - 12/5
Make the denominators same....
Multiply both the denominators by each other...
4 x 5 and 5 x 4 = 20 both the denominators equal to 20.
Now multiply the numerators like that
so, 31 x 5 and 12 x 4
equals to 151/20 and 48/20
Now subtract both ...
151-48 = 103
So the answer is 103/20
Hope it helps!!!
The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Which statement describes quadrilateral MNOP?
Quadrilateral MNOP is a rhombus, but not a square.
Quadrilateral MNOP is a rectangle.
Quadrilateral MNOP is a trapezoid.
Quadrilateral MNOP is a parallelogram, but not a rectangle
Answer:
Quadrilateral MNOP is a rectangle.
Step-by-step explanation:
Quadrilateral MNOP is a parallelogram, but not a rectangle.
What is a rhombus?
A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.
M(-1,1), N(1,-2),O(5,0), and P(3,3)
MN=√13
NO=√20
OP=√13
PM=√20
This means opposite sides are equal.
Slope of MN = -2/3
Slope of NO=2
The Slope of MN * The Slope of NO =-4/3 ≠ -1
This means the angle between adjacent sides is not equal to 90°
This means MNOP is not a rectangle
The Slope of MO = -6
The Slope of NP = 2/5
The Slope of MO * The Slope of NP =-12/5 ≠ -1
This means diagonals do not intersect at right angles.
This means MNOP is not a rhombus.
Slope of MN = -2/3
Slope of OP = -2/3
Slope of MN =Slope of OP
Similarly, Slope of MP =Slope of NO
So, quadrilateral MNOP is a parallelogram, but not a rectangle.
Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.
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.Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162
2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18
3. Yes there is a outlier. and i believe it's 82
4. i believe the mean will be 80 but then divided by 5 will be 16
hope this helped :D
Step-by-step explanation:
Which of the following inequalities matches the
graph?
Henry plans to buy Pepsee for people to drink at his birthday party. The grocery store has a sale
in which the first liter of Pepsee costs $3, and every liter that is bought after that costs $1.50.
Henry has $9 to spend.
What is the maximum number of liters Henry can buy? 4 liters
4.67 liters
5 liters
6 liters
Answer:4,67
Step-by-step explanation:
Can someone please help me with the missing number?
Answer:
48
Step-by-step explanation:
16/10=1.6
1.6X30=48 :)
what its 600+600 pls help
Answer:
1200 hope this helps you;)
Answer:
1200 lol
Step-by-step explanation:
Which fraction is the product of 5/4 x 6?
Answer:
15 x /2
Step-by-step explanation:
simplify the first expression 5 (m + 1) -1
Answer:
5m+4
Step-by-step explanation:
(5m)+5(1)-1
5m+5-1
Answer:
5m+4
Step-by-step explanation:
You basically do the distribution property with the 5(m+1)= 5(m)+5(1)-1
5m+5 - 1
5m+4
hewp pwease ☺️thanks
The Answer Is 35 Inches Squared
Express the null hypothesis and the alternative in symbolic form. Use the correct symbol (μ, p, σ ) for the indicated parameter.
An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.
A. H0:p<0.0016
H1:p≥0.0016
B. H0:p=0.0016
H1:p<0.0016
C. H0:p=0.0016
H1:p>0.0016
D. H0:p>0.0016
H1:p≤0.0016
Answer:
A. H0:p<0.0016
H1:p≥0.0016
Step-by-step explanation:
An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation.
This means that the null hypothesis is that the proportion is less than the proportion explicited, that is:
[tex]H_0: p < \frac{16}{10000}[/tex]
[tex]H_0: p < 0.0016[/tex]
At the alternate hypothesis, we test if the claim at the null hypothesis is wrong, that is, if the proportion is equals or more to this value. So
[tex]H_1: p \geq 0.0016[/tex]
The correct answer is given by option A.
in a box of 63 marbles, 4 out of 7 marbles are red. How many red marbles are in the box?
Answer:36
Step-by-step explanation:
Write an equation, and solve. Round your answer to the nearest cent.
If 3 oz of granola costs $3.03, find the cost of 16 oz of granola.
The cost of 16 oz of granola should be $
Answer:
The cost of 16 oz of granola should be $16.16
Step-by-step explanation:
Given that,
The cost of 3 oz of granola is $3.03
We need to find the cost of 16 oz of granola..
As 3 oz = $3.03
1 oz = (3.03/3) = $1.01
The cost of 16 oz will be :
16 oz = 16×1.01
= $16.16
Hence, the cost of 16 oz of granola should be $16.16.
40 POINTS!!!
Which polynomial contains the powers in descending order?
Answer:
B.
Step-by-step explanation:
Find the 52nd term of the arithmetic sequence 5, 9, 13, ...
Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?
Answer:
2:12
Step-by-step explanation:
The ratio of cups of sugar to cupcakes is equivalent to 1:6.
Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.
What is the ratio?The ratio is the comparison of two quantities. It is generally represented by a fraction.
2 cups of sugar: 12 cupcakes = 2:12
2:12 = 2/12 =1/6 =1:6
So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
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An example of a rectangular Prism can be: A globe or ball O Fish tank o Bowl Can
Answer:
Fish Tank
Step-by-step explanation:
This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.
What is the length of segment AB? PLEASE HELP!!!
Answer:
4
Step-by-step explanation:
we have hypotenuse and opposite so we can use sin
sin(45) =O/4√2
rearrange
sin(45)x4√2 =O
=4
Answer I need it please
Answer:
the answer is A
Step-by-step explanation:
Dobie works as a window washer, and finds lots of time to think while working. He notices when windows are cracked, and fells that the number of cracked windows has been increasing. He wants to determine if this increase is statistically significant by applying a control chart. He collected data for the past 10 days measuring the number of cracked windows he observed per shift.
What is the UCL?
a. 5.90
b. 59.00
c. 13.19
d. 2.42
The LCL?
a. 0
b. 20.14
c. 5.90
d. 2014
Is the number of observed cracked windows within control limits?
a. No
b. Yes
Day Day Day Day Day Day Day Day Day Day
# of cracks 1 2 3 4 5 6 7 8 9 10
3 4 2 4 6 5 8 8 7 12
Dobie noted that the windows he washes may have multiple panes per window. So, rather than counting cracked windows, Dobie instead converts the prior data into cracked window panes. Based on the data below:
Day Day Day Day Day Day Day Day Day Day
# of cracks 1 2 3 4 5 6 7 8 9 10
6 11 4 12 13 12 11 13 7 19
What is the UCL?
a. 13.19
b. 23.66
c. 20.66
d. 10.80
The LCL?
a. 0
b. 10.8
c. 0.94
d. 3.29
Is the number of observed cracked window panes within control limits?
a. Yes
b. No
Is Dobie’s theory that the number of cracked window panes is increasing valid?
a. No
b. Yes
Mr. Dash recorded the odometer
readings in his car for a business trip.
Before the trip, the odometer read
23,125.6. At the end of the trip it read
23,219.1. If Mr. Dash is reimbursed
$0.51 for every mile, then about how
much will he be reimbursed?
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A) 0.1135
B) 0.2450
C) 0.9423
D) 0.9932
Answer:
this is the answer!!
Step-by-step explanation:
Which statement correctly describes intersecting lines?
Intersecting lines are always the same distance apart.
All intersecting lines cross to form four right angles.
Intersecting lines cross at one point.
The intersecting lines cross at one point
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the first line be represented as A
Let the second line be represented as B
Now , the lines A and B are not parallel lines and they intersect
So , the point of intersection of the two lines is P
The coordinates of the point of intersection is P ( x , y )
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Hence , the lines intersect at one point
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#SPJ3
Multiply.
−3.9(−5.6)(3)
The product is
Answer:
65.52
Step-by-step explanation:
−3.9×−5.6×3
Multiply −3.9 and −5.6 to get 21.84.
21.84×3
Multiply 21.84 and 3 to get 65.52.
65.52
A composite figure is shown. What is the volume of the composite figure? 4 cm 6 cm 4 cm 9 cm 5 cm
Answer:
No figure shown.
Step-by-step explanation:
Answanswer:
the answer is 4,320.
Step by-step explanation:
The reason the volume is this is becuase you first need to know the volume.
V= L x W x H. (Length and width are also called base.)
Now what you do is just multiply 4*6= 24*4= 96*9= 944*5= 3,420
HELPPP 50 points. FASTTTT THANK YOU
Hope this helped. The answer is in the picture.
○( ＾皿＾)っ
Answer: I can think of is c but tell me if I'm wrong
Step-by-step explanation:
If a = 2 and b= -3, find the value of 2ab + 3b
Answer:
-21
Step-by-step explanation:
-12+(-9)= -21
Answer:
-21 is the answer to this question
what is the measure of angle p enter your answer as a decimal in the box round only your answer to the nearest hundredth
A.34
B.268
C.2,145
D.17,157