Answer:
Following are the responses to the given points:
Step-by-step explanation:
Given:
[tex]\mu = 359 \ \ \ \ \ \sigma = 33\\\\[/tex]
Using formula:
[tex]\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )[/tex]
For point a:
[tex]\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\[/tex]
[tex]= P\left ( z <1.4242\right )\\\\= 0.9222[/tex]
For point b:
[tex]\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\[/tex]
[tex]= 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001[/tex]
For point c:
[tex]\to x= 406\ \ and \ \ 461\\\\P(406 <X < 461 ) = P(X < 461) - P (X < 406)\\\\[/tex]
[tex]= 0.9990 - 0.9222\\\\= 0.0768\\\\[/tex]
For point d:
[tex]P(X < 406) = 0.9222 = 92.22 \%\ that \ is \ greater \ than\ 50\%[/tex]
Hence, the correct choice is "i".
For point e:
[tex]\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\[/tex]
to
Angle JKL is a straight angle.
The measure of angle MKL is 25°.
The measure of angle JKM is xº.
What is the value of x?
M
25°
K
n
Answer:
180-25=155 degrees
Step-by-step explanation:
Perform the operation. Enter your answer in scientific notation. 7 × 102 − 5.6 × 102 =
Explain why sin(A)=sin(D)
I NEED HELP ASAP
becouse The size does not differ whether it is big or small, the degree remains the same
Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...
Answer:
The first term is 8
The common ratio is 2, because the ratio of 8:16 is 1:2 and the ratio of 16:32 is 1:2
Step-by-step explanation:
Answer:
The common ratio of the following geometric sequence is x2 everytime.
Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt
1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lechon from his residence? 4. How far is KFC from his residence? 5. What is the measure of angle ERK ?
Answer:
Following are the solution to the given question.
Step-by-step explanation:
Please find the graph file and its solution in the attachment.
[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]
Similarly:
[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]
For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]
For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]
For point 3:[tex]\to BE=KR=157[/tex]
For point 4:[tex]\to Kf=BR=130[/tex]
For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]
Given that ΔKER and ΔBRE are congruent triangles, therefore:
1. How far KFC is from RCBC = KR = 157 m
2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m
3. How far Baliwag Lechon is from his residence = BE = KR = 157 m
4. How far KFC is from his residence = KE = BR = 140 m
5. The measure of ∠ERK = 70°
What are Congruent Triangles?Congruent triangles have corresponding parts hat are congruent to each other.
Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:
KR = BE
4x - 15 = 3x + 28
4x - 3x = 15 + 28
x = 43
KE = BR
3y + 5 = 2y + 50
3y - 2y = -5 + 50
y = 45
Thus:
1. How far KFC is from RCBC = KR
KR = 4x - 15
Plug in the value of x
KR = 4(43) - 15
KR = 157 m
2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR
BR = 2y + 50
Plug in the value of y
BR = 2(45) + 50
BR = 140 m
3. How far Baliwag Lechon is from his residence = BE = KR = 157 m
4. How far KFC is from his residence = KE = BR = 140 m
5. The measure of ∠ERK = 180 - (92 + 18) = 70°
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The question is in the picture (Alegbra 1)
Answer:
[tex] \frac{s}{s + 3} [/tex]
Answer:
S/S+3
Step-by-step explanation:
Hope this helps...
someone tell me 1+1= 11 and not 2 - -
Determine if these values form a right triangle. E
Answer:
They do not.
Step-by-step explanation:
a² + b² = c² c is the hypotenuse
9² + 12² = 17²
81 + 144 = 289
225 ≠ 289
The area of a rectangle is given by the expression x^2 + 6x – 16. What are the dimensions of the rectangle?
(x+4) by (x+4)
(x+4) by (x-4)
(x+8) by (x-2)
(x-8) by (x+2)
Answer:
I don't no answer sorry sorrySuppose that, as course instructor, you decide instead that you want to calculate a 95% confidence interval for the population proportion of all Cal Poly students who have ever marched in a Memorial Day Parade, and that you would like the margin of error of your 95% confidence interval to be .05, and that you would like to use a (most) conservative sample size for this task. What sample size should you use
Answer: 385
Step-by-step explanation:
If prior population proportion p is unknown, then the formula to compute sample size will be:
[tex]n= 0.25(\frac{z^*}{E})^2[/tex]
where, E= Margin of error, z* = Critical zvalue
Given: E= 0.05
Critical value for 95% confidence = 1.96
Required sample size: [tex]n=0.25(\frac{1.96}{0.05})^2[/tex]
[tex]\\=384.16\approx385[/tex]
Hence, the required sample size = 385
Round 386.565 to the nearest hundredth.
1. Given f(x) = x2 – X and g(x) = 3x + 2, find f(g(2))
Answer:
56
Step-by-step explanation:
g(2) = 3(2) + 2
= 6 + 2
= 8
f(8) = 8^2 - 8
= 64 - 8
= 56
Find the value of x in the figure:
PLEASE SHOW WORK:)))
WILL MARK BRAINLIEST TO CORRECT ANSWER.
Answer:
x = 4
Step-by-step explanation:
ΔAED ~ ΔACB
[∠DAE = ∠BAC ( common angle ), [tex]\frac{AE}{AC} = \frac{AD}{AB}[/tex] ( gives a ratio 1:2 ) ]
[tex]\frac{AE}{AC} = \frac{DE}{BC}[/tex]
Since AC = 2AE [ AC = AE + EC, But AE = EC, ∴ AC = AE + AE ]
[tex]\frac{AE}{2AE} = \frac{x + 1}{4x - 6}\\\\\frac{1}{2} = \frac{x + 1}{4x - 6}\\\\\\Cross - multiplying,\\\\4x - 6 = 2 *(x + 1)\\4x - 6 = 2x + 2\\4x - 2x = 2 + 6\\2x = 8\\x = 4[/tex]
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 77 and a standard deviation of
10. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals.
(a) Find the 28th percentile of the scores.
(b) Find the 65th percentile of the scores.
(c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score
needed to get an A?
(d) Between what two values are the middle 64% of the scores? (Enter the smaller number in the first box.)
At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?
Answer:
266.65
Step-by-step explanation:
65% of 60 = 39 sandwiches sold
85% of 40 = 34 baguettes sold
all Jacket potatoes sold 3.25 x 25
34 x 2.70
39 x 2.40
add the total and comes to 266.65
Find the multiplicative inverse of:
[tex]4 \times \frac{ - 7}{8} [/tex]
[tex] \frac{ - 5}{6} \times \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
first no answer=1/4*8/-7 =8/-28
second no answer=6/-5*7/2 =42/-10
Which is a chord of circle P?
Answer:
QR
Step-by-step explanation:
A chord is a line that joins two points on the outside of the circle
QR and KL are chords
The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?
Answer:
True
Step-by-step explanation:
If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.
It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.
What is function?Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.
How to find x intercept?We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.
when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.
[tex]a^{x}+4[/tex]=0
[tex]a^{x}[/tex]=-4
taking log both sides,
log [tex]a^{x}[/tex]=log(-4)
x log a=0.602059991+1.3437635i
x=(0.602059991+1.3437635i)/log a
when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.
Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.
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The measure of (angle) 6 is 120. The measure of (angle) 5 is 100. What is the measure of (angle) 4
Answer:
80
Step-by-step explanation:
4x20=80
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answer:
A. Yes
Step-by-step explanation:
I calculated it logically
Yes the given figure with triangular tessellates the plane.
All triangles tessellate.
The picture works because all three corners (A, B, and C) of the triangle come together to make a 180° angle - a straight line.
This property of triangles will be the foundation of our study of polygon tessellations, so we state it here: The sum of angles of any triangle is 180°.
Yes, the given figure tessellates the plane.
Hence, Yes the given figure tessellates the plane.
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What is the length of NP?
Answer:
c. √174
Step-by-step explanation:
NP²= 10²+7²+5²=100+49+25= 174
NP = √174
The length of NP would be; √174
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We are given the measure of sides;
NP²= 10²+7²+5²
NP²=100+49+25
NP²= 174
NP = √174
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PLS HELP 40 POINTS
If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?
340,426.24 in. 3
20,724 in. 3
63,829.92 in. 3
110,528 in. 3
Volume of the new similar cylinder is equals to 340,426.24 in.³.
What is volume?
" Volume is defined as the total space occupied by any three dimensional objects enclosed in it."
Formula used
Volume of the cylinder = πr²h
r = radius of the cylinder
h = height of the cylinder
value of π = 3.14
According to the question,
radius of the cylinder = 11 in.
height of the cylinder = 14 in.
Dimensions of new cylinder are quadrupled means 4times.
New radius = 44 in.
New height = 56 in.
Substitute the value in the formula we get,
Volume of the new cylinder = (3.14) ×(44)² × (56)
= 340,426.24 in.³
Hence, volume of the new similar cylinder is equals to 340,426.24 in.³.
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Marie had 12 pizzas. She wanted to give each person of a 1/4
pizza. How many people would receive a piece of pizza?
Answer:
48 people.
Step-by-step explanation:
Each person gets 1/4 of a pizza meaning that one pizza can serve 4 people. If one pizza can serve 4 people, 12 pizzas can serve 48 people, because 4x12=48.
Select the correct answer.
This graph represents a function.
y
A
8-
61
+
2-
X
-8
-6
-4
- 2
2
4
6
8
-2
-4
-6-
-8
Which table contains points from the inverse of the graphed function?
A.
X х
-4
-3
-2.
-1
3
- 3
y
-1
1
B.
Х
-3
-1
3
1
у
-4
-3
-1
-2
.
-3
Х
3
- 1
2.
1
3
1
y
4
D.
Х
1
4
2
3
y
-3
-1
3
9514 1404 393
Answer:
B
Step-by-step explanation:
To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.
There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.
After you swap the axis labels you see that the points ...
(x, y) = (1, -2) or (-1, -3)
are on the graph. These points are only found in the table of selection B.
The table contains points from the inverse of the graphed function is B. Table 2.
What is a graph?A graph simply means a diagram that represents the variation of a variable when being compared with other variables.
In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.
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urgent..
not explanation just answer plzz
Answer:
D 1
Step-by-step explanation:
can someone help me
55 x 7 = 385
dadadsdsadssdgregeg
Please help me find x and y
Answer:
x = 33
y = 5
Step-by-step explanation:
Line BD splits AC in half so y is also 5Since the triangles are congruent (is known because of the congruence lines) and you know two angles you can find x57+90=147 and 180-147= 33 which is xwhich is equivalent to this equation
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the value of the given expression i.e.
3⁷ × 3⁻⁴
We know that, one of the property of exponent is:
[tex]x^{-a}=\dfrac{1}{a}[/tex]
So,
[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]
Hence, the correct option is (b).
Lena wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 7 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window?
Step-by-step explanation:
It helps to draw a picture but also write what you are given
The square measures 7ft on all sides
youre paying by the square foot
to get square feet, use L x W
so 7ft x 7ft = 49 ft^2
so if we are charged $7 for 1 ft^2, then you add $7, 49 times
So youd write and solve
7 + 7 + 7 + 7 +... + 7 = $7 x 49ft^2