The answer will be option A Yes, the test value is in the rejection region.
What is Z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
here the formula will be
[tex]Z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt {n}}}[/tex]
[tex]Z=\dfrac{100-110}{\dfrac{5}{\sqrt{100}}}[/tex]
[tex]Z=-20[/tex]
Z critical value =-1.645
Z calculated> Z critical value so we will reject.
Hence the answer will be option A Yes, the test value is in the rejection region.
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Please help!!! Work out the surface area for this solid prism.
Answer:
3060 [tex]cm^{2}[/tex]
Step-by-step explanation:
Find the cross-sectional area first of the trapezium
[tex]\frac{1}{2} (a+b)h[/tex]
So, [tex]\frac{1}{2}(6+34)15[/tex]
which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]
Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]
Find the Area of the Rectangles
The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]
The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]
The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]
The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]
So by combining all these calculations, you will get the total surface area which is:
600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]
A rabbit jumps across the floor at an angle of 30° with an initial speed of 7 ft/s.
Determine how long the rabbit was in the air. Round to the nearest hundredth.
The time of flight of the rabbit whose motion is described rounded to the nearest hundredth is; 0.71s
How long did the rabbit stay in the air?According to the task content;
It follows that the motion of the rabbit was a projectile motion.
Hence, the time of flight of the rabbit is;
T = 2(7) sin 30/9.8.
T = 0.71s
On this note, the time of flight for which the rabbit stayed in the air is; 0.71s.
Read more on time of flight;
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(-14+3i)-(14i) = ?
Express your answer in the form
(a + bi).
Answer:
-14 - 11i
Step-by-step explanation:
You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.
(-14 + 3i) - (14i)
= -14 + 3i - 14i
Combine the i's
= -14 - 11i
That's it. The -14 is the a, and the -11 is the b in a+bi.
If necessary to fill in a computer answer that is already formatted with a plus, like:
_ + _i
then use -14 for a and -11 for b.
solve each word problem using the method of yu
89. A fencing company charges $22 per foot to install
a wood fence. How much will it cost to install a
wood fence around a rectangular pool area that is
20 feet wide and 38 feet long?
Answer:
$2,552
Step-by-step explanation:
Here you will need a calculator or a paper and pencil. The easiest way to do this is to find the perimeter
So we got a rectange
38 Feet
_____
l l
20 Feet l l 20 Feet
l____l
38 Feet
Next you need to add all of the sides together to get 100 Feet. Finally you just multiply the cost per foot by 116 to get the total cost of 2,552
please help im doing this right now
Answer:
B. 0.000096 (4 zeroes after the decimal point because 10^4)
Step-by-step explanation:
0.96 / 10^4 = 0.000096
when dividing, the decimal moved left and you must add zeroes!
what do you know about math
Answer:
that it is formed by numbers and steps followed are BODMAS
PLS HELP ITS URGENT!!
The circumference of the ball is 9. 4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square Inches.
The volume of the ball is approximately
cubic Inches.
HEELLPP WILL GIVE BRAINLEST TO WHOEVER ANSWERS.
Answer:
B
Step-by-step explanation: The 2nd number in the equation represents the y axis so if its moving 7 units down its -7 on the y axis which makes it 9x-7
Answer: C
Step-by-step explanation:
A ferry transports passengers to three different ports. from port a, the ferry travels east 3.5 miles to port b. the ship then turns 75° south and travels for 6 miles to reach port c. what is the distance d from port c to port a? approximate to the nearest tenth of a mile. miles
The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.
How to calculate bearing distance?We are given;
Ferry travels east 3.5 miles from Port b.
Then it turns 75° south and travels for 6 miles till it gets to Port c
To get the distance d from port c to port a, we would make use of cosine rule which is;
c = √(a² + b² - 2ab*cos C)
Thus;
d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))
d = 7.7 miles
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Answer:
Step-by-step explanation:7.7 miles
A figure was rotated around a vertical line segment resulting in the object below.
Which of the following figures was rotated?
Answer:
Rectangle (Brainliest please)
Step-by-step explanation:
Find the area of the triangle.
HELP PLEASEE ASAP !!
Answer:
- 25
Step-by-step explanation:
A= 0(4-0)+7(0-3)+4(3-4) = -25
help me with this..!!?
Answer:
y ≤ 1
Step-by-step explanation:
Range is the values of y that the graph can have
Find the surface area of the prism.
Answer:
156 [in²].
Step-by-step explanation:
1) total area consists of six parts (all the details are in the attachment):
A=2A₁+2A₂+A₃+A₄;
2) according to the formula above:
A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].
Question 5 of 10
Solve the rational equation:
4x/x+5 = x/x+4
Answer:
[tex] x = 0 [/tex] or [tex] x = -\dfrac{11}{3} [/tex]
Step-by-step explanation:
I assume the denominators are x + 5 and x + 4 although that is not what you wrote.
[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]
[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]
[tex] (x + 4)(4x) = (x + 5)(x) [/tex]
[tex] 4x^2 + 16x = x^2 + 5x [/tex]
[tex] 3x^2 + 11x = 0 [/tex]
[tex] x(3x + 11) = 0 [/tex]
[tex] x = 0 [/tex] or [tex] 3x + 11 = 0 [/tex]
[tex] x = 0 [/tex] or [tex] 3x = -11 [/tex]
[tex] x = 0 [/tex] or [tex] x = -\dfrac{11}{3} [/tex]
Find the missing coefficients and exponents identified by question marks. Rewrite the entire equation without question marks when you have solved it.
Answer:
[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]
Step-by-step explanation:
Replace the questions marks with letters:
[tex]\dfrac{12x^{a}-18x^8+bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]
[tex]\textsf{Apply the fraction rule}\quad \dfrac{a+b+c}{d}=\dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}[/tex]
[tex]\implies \dfrac{12x^{a}}{cx^d}-\dfrac{18x^8}{cx^d}+\dfrac{bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]
Taking the second term and calculating the coefficient of the denominator:
[tex]\implies -\dfrac{18x^8}{cx^d}=3x^f[/tex]
[tex]\implies \dfrac{-18}{c}=3[/tex]
[tex]\implies c=\dfrac{-18}{3}=-6[/tex]
Taking the first term, substituting the found coefficient of the denominator and calculating the coefficient e:
[tex]\implies \dfrac{12x^{a}}{cx^d}=\dfrac{12x^{a}}{-6x^d}=ex^{11}[/tex]
[tex]\implies e=\dfrac{12}{-6}=-2[/tex]
Taking the third term, substituting the found coefficient of the denominator, and calculating the coefficient of the numerator and the exponent:
[tex]\implies \dfrac{bx^6}{cx^d}=\dfrac{bx^6}{-6x^d}=7x[/tex]
[tex]\implies 6-d=1\implies d=5[/tex]
[tex]\implies \dfrac{b}{-6}=7 \implies b=-42[/tex]
Taking the first term, substituting the found coefficient and exponent of the denominator and the found coefficient e, and calculating the exponent of the numerator::
[tex]\implies \dfrac{12x^{a}}{cx^d}=ex^{11}[/tex]
[tex]\implies \dfrac{12x^{a}}{-6x^5}=-2x^{11}[/tex]
[tex]\implies a-5=11 \implies a=16[/tex]
Taking the second term, substituting the found coefficient and exponent of the denominator, and calculating the exponent f:
[tex]\implies -\dfrac{18x^8}{cx^d}=-\dfrac{18x^8}{-6x^5}=3x^f[/tex]
[tex]\implies f=8-5=3[/tex]
Substituting all found letters:
[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]
Type the answers to these questions, in order, thank you.
Answer:
1) 3 weeks
2) $60
3) 6 weeks
4) $50
5) No, because they are already saving at the same rate, so if they continue to do so, their amounts will never meet. This is also because the lines in the graph are parallel, and parallel lines never meet.
1: 4.331 L =_____ mL
2: 4.85 m =____mm
3: 256 cm =____m
4: 13.3 m =_____cm
5:0.32 kg =____g
6:18.5 cm =____km
7:140 cm =____km
8:0.5 kg =____g
Answer: 4331ml, 4850mm, 25.6m, 133cm, 320g, 0.000185km, 0.0014km, 500g
Step-by-step explanation: All listed above
What is the length of the unknown leg of the right triangle? 2 ft and 5 ft (The figure is not drawn to scale.) Question content area bottom Part 1 The length of the unknown leg of the right triangle is enter your response here ft. (Round to one decimal place as needed.)
Answer: 4
Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.
please no links
Solve -7 + 21 > -14.
A. x<5
B. x< -1
C. x<5
D. x< -1
Hey there!
-7x + 21 > -14
SUBTRACT 21 to BOTH SIDES
-7x + 21 - 21 > -14 - 21
SIMPLIFY IT!
NEW EQUATION: -7x > -35
DIVIDE -7 to BOTH SIDES
-7x/-7 > -35/-7
SIMPLIFY IT!
x < 5
Therefore, your answer is: x < 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
X<5Step-by-step explanation:
Isolate the term of x from one side of the equation.
-7x+21>-14First, subtract by 21 from both sides.
-7x+21-21>-14-21
Solve.
Add or subtract the numbers from left to right.
-14-21=-35
Rewrite the problem down.
-7x>-35
Then, multiply by -1 from both sides.
[tex]\sf{\left(-7x\right)\left(-1\right) < \left(-35\right)\left(-1\right)}[/tex]
Solve.
7x<35
Divide by 7 from both sides.
7x/7<35/7
Solve.
Divide the numbers from left to right.
35/7=5
x<5
Therefore, the correct answer is x<5.
I hope this helps! Let me know if you have any questions.
Which expression is equivalent to n2 26n 88 for all values of n? (n 8)(n 11) (n 4)(n 22) (n 4)(n 24) (n 8)(n 18)
The factor of the given polynomial n² + 26n + 88 is (n + 4) and (n + 22). Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given below.
n² + 26n + 88
Then the factor of the given polynomial will be
n² + 22n + 4n + 88
n(n + 22) 4(n + 22)
(n + 4)(n + 22)
More about the factorization link is given below.
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is 103 perfect square? show your work
Answer:
yes
Step-by-step explanation:
Could not simplify further
Answer:
No, it's not a perfect square.
Step-by-step explanation:
First of all a perfact square should never end with 2, 3, 7 or 8, if it does than its not a perfect square.
103 ends with "3", so therefore, it's not a perfect square.
please help me.... asap (no links)
Answer:
3
Step-by-step explanation:
they give you all the possible outcomes, all they are asking for is how many of those outcomes have only one head in it
Answer:
3; HTT, THT, TTH
H means heads, T means tails, therefore there are 3 pairs with 1 letter H.
Which of the following functions best models the data shown in this scatterplot?
1. y=15x^2+18
2. y=100x−200
3. y=450x−600
4. y=3x+10
a 10.2 of the pupils in a school are boys. If there are 96 girls in the school, how many pupils are there in the school?
Answer:
192
Step-by-step explanation:
because if you multiply 2 by 96 then you get your answer
What is the solution to the inequality x^2 + 2x ≤ 24?
A)
x < 4 or x > –6
B)
–6 ≤ x ≤ 4
C)
–6 < x < 4
D)
x ≤ –6 or x ≥ 4
Answer:
B. -6 ≤ x ≤ -4
Step-by-step explanation:
1. Rewrite the inequality in standard form:
x² + 2x - 24 ≤ 0
2. Factor x² + 2x - 24:
(x-4)(x+6) ≤ 0
3. Identify the intervals:
x - 4+4 = 0+4, x + 6-6 = 0-6
x = 4, x = -6
In conclusion:
-6 ≤ x ≤ -4
hope this helps!
the width of a rectangle is 3x+1. the length is three times the width. what is the simplified expression of the total perimeter of this rectangle?
Answer:
The total perimeter here is P =21x + 7
Step-by-step explanation:
Let W and L represent the width and length of the rectangle. Then the perimeter is P = 2W + 2L. Substituting 3x + 1 for W and 3(3x + 1) for L, we get
P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7
dilson is going to toss two number cubes each with faces labeled.
what is the possibility of tossing a sum of 6?
A) 1/12
B) 1/9
C) 5/36
D) 1/6
Answer:
option D is is that correct answer
4in 4in 4in cube what is the
l=
w=
h=
sa=
Answer:
see below
Step-by-step explanation:
l,w,h are all = 4 in
sa = 4x4 * 6 = 96 in^2
Solve
1/2 x + 3 < 4x - 7
Answer:
x > 20/7
good luck on your test <3
if a table shows the side length of a triangle and side 1 is 2(a+3) and side 2 is 3a-1 and the perimeter of the triangle is 6a-3. what is side 3
Answer:
Side 3 = a - 2
Step-by-step explanation:
Perimeter of a ∆ = sum of all the sides of a triangle
Perimeter of the given ∆ = 6a + 3 units
Side 1 = 2(a + 3)
Side 2 = 3a - 1
Side 3 = ?
Therefore:
Side 3 = Perimeter - sum of side 1 and 2
Thus:
Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]
Side 3 = 6a + 3 - [2a + 6 + 3a - 1]
Side 3 = 6a + 3 - [5a + 5]
Side 3 = 6a + 3 - 5a - 5
Side 3 = a - 2
Step-by-step explanation: