How many 1/2 unit cubes does it take to fill the prism?
the perimeter p of a square is 4 times the length of a side x
Answer:
p = 4x
Step-by-step explanation:
The perimeter p of a square is 4 times the length of a side x
p = 4x
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $0.20 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. (Round your answers up to the nearest whole number.) (a) The desired margin of error is $0.10. 16 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (b) The desired margin of error is $0.06. 43 Correct: Your answer is correct. (c) The desired margin of error is $0.04.
Answer:
The answer is "16, 43, and 96".
Step-by-step explanation:
Given:
[tex]\sigma = 0.20\\\\c = 95\% = 0.95\\\\\therefore \alpha = 1- c = 1- 0.95 = 0.05\\\\\therefore \frac{\alpha}{2} = 0.025\\\\[/tex]
Using Z table:
[tex]\therefore Z_{\frac{\alpha}{2}} = 1.96\\\\[/tex]
For point a:
[tex]E = 0.10\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]
[tex]= (\frac{(1.96\times 0.20)}{0.10})^2\\\\= 15.3664 \approx 16[/tex]
so, The Sample size (n) = 16
For point b:
[tex]E = 0.06\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]
[tex]= (\frac{(1.96\times 0.20)}{0.06})^2\\\\= 42.6844444444\approx 43[/tex]
For point c:
[tex]E = 0.04\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]
[tex]= (\frac{(1.96\times 0.20)}{0.04})^2\\\\= 96.04\approx 96[/tex]
Evaluate the following expression. 45%[6x(17-9)-30]
Answer:
tdxutdxfhdxfhx hd tudbtd tudbytd
Step-by-step explanation:
fc fcgbtufnyufnutfiygniygmyufniygnyigfntudb rsdut rd utddutestur dutrd uttu uhgugfutfuy8. f utfuy. dutugvu v gigv. uvv gihg ihg igg gv ugv vug ugf ugv ugv v igiugigougojgohgiohgk h. i gigiy gygiygiytiy
What is the value of the following expression when
y = 4?
y³ + 6
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
If sin theta equals 12 divided by 13 and theta is in quadrant 2 cos20 equals? and cos theta equals?
Answers:
cos(2theta) = -119/169cos(theta) = -5/13=====================================================
The given info is:
sin(theta) = 12/13theta is in quadrant IIFrom that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.
Now use the trig identity below to compute cos(2theta)
[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]
Other options you could use are these identities
[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]
or
[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]
lcm of 64 and 94
plz show photo of work and explan plz for 10
Answer:
10 and 64 and is a then not answer
Answer:
Step-by-step explanation:
2 64, 94
32, 47
LCM=2*32*47=3008
while doing LCM u should take all the numbers (common numbers and remaining numbers)
But in HCF only common numbers are take for eg .here,HCf is 2because 2 is the only number that divides both the number.
Looking in her food pantry, Professor Martinez finds a package of 12 flavored water bottles. The package contains 5 strawberry flavored water bottles and 7 mango flavored water bottles, each without labeling. All the bottles look alike and have equal probability of being chosen. Three bottles are randomly selected without replacing them.
a. The probability that all (exactly three) bottles are strawberry flavored is: _______
b. The probability that at least one of the three bottles are strawberry flavored is: _________
c. The probability that exactly 2 bottles are strawberry flavored is: _________
Answer:
a) 12/24 * 11/24*10/24
b) 1 - 12/24 * 11/24*10/24
c) 12/24 * 11/24 *12/24
Step-by-step explanation:
Total number of bottles = 12 + 5+7 = 24
a. The probability that all (exactly three) bottles are strawberry flavored is: 212
12/24 * 11/24*10/24
b. The probability that at least one of the three bottles are strawberry flavored is:
1 - P (no strawberry bottle)
1 - (12/24*11/24*10/24)
c. The probability that exactly 2
12/24 * 11/24 *12/24
Which graph represents a proportional relationship? On a coordinate plane, a straight line with positive slope goes through points (0, 0), (1, 2), and (2, 4). On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a horizontal line is at y = 3. On a coordinate plane, a curved line goes through the origin.
Answer:
Step-by-step explanation:
D. On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).
Explanation:
For a relationship to be proportional it needs to meet two conditions:
1) its graph needs to be a straight line
2) every point of the graph needs to satisty the equation y = k•x, or, in other words k has to be equal for every point
Now, let's check the answers;
A) we have two points: A (2, 6) and B (4, 5). For point A, x is 2 and y is 6, so:
y = k•x
6 = k•2
k = 3
For point B, x is 4 and y is 5, so:
y = k•x
5 = k•4
k= 5/4
Since k isn't the same value for these two points, this isn't proprtional relationship.
B) this graph is curve, so since it's not a straight line it can't be proportional relationship.
C) similarly to graph A we have point A (5, 2) and point B (6, 3).
For point A, x is 5 and y is 2, so:
y = k•x
2 = k•5
k = 2/5
For point B, x is 6 and y is 3, so:
y = k•x
3 = k•6
k = 1/2
Again values of k aren't the same, so this isn't a proportional relationship.
D) Point A (3, 3) and point B (4, 4). For point A, x is 3 and y is 3, so:
y = k•x
3 = k•3
k = 1
For point B, x is 4 and y is 4, so:
y = k•x
4 = k•4
k = 1
Since value of k is the same for both points, this graph shows the proportional relationship.
Answer:
a
Step-by-step explanation: the line goes thru the origin
the perimeter of a square is 75 cm what is the length of one side of the square
Answer:
length of one side = 18.75cm
Step-by-step explanation:
Perimeter of a square = 4 x side
75 = 4 x side
[tex]side = \frac{75}{4} = 18.75cm[/tex]
I need answer to both of the questions please someone!! 20points
Answer:
Step-by-step explanation:
x+62=90 degree (being perpendicular)
x=90-62
x=28 degree
x+25=90 (being perpendicular)
x=90-25
x=65 degree
Answer:
1)X+62 =90
x+62-62=90-62
x =28
2) X+25+90+180 =360
x +295=360
x =360-295
x =65
A puppy weighs534pounds.
How many ounces does the puppy weigh?
Answer:
I believe that the question is "A puppy weighs 5 3/4 pounds. How many ounces does the puppy weigh."
Step-by-step explanation:
The answer is 23 ounces.
Find the volume of cone pictured below. Use 3.14 for /pi Round your answer to the nearest hundredth.
Answer:
134.04
hope this helps
have a good day :)
Step-by-step explanation:
What is the solution to the equation 1.2m − 0.8 = −2.0m?
m = 0.25
m = 0.4
m = 1
m = 4
Answer:
m = 0.25
Step-by-step explanation:
1.2m − 0.8 = −2.0m
Both side +2.0m
1.2m+2.0m-0.8=-2.0m+2.0m
Both side +0.8
3.2m=0.8
Both side divided by 3.2m
[tex]\frac{3.2}{3.2}[/tex]m=[tex]\frac{0.8}{3.2}[/tex]
1×m=[tex]\frac{0.8}{3.2}[/tex]
m = 0.25
The answer is 0.25
Find the area of the circle:
Answer:
12.56
Step-by-step explanation:
A = 3.14*2^2 = 12.56
Need help will give brainiest
Answer:
3. x=50, y=80, 4. x=6.5, y=5
Step-by-step explanation:
I think, not entirely sure.
Write the equation of the circle centered at ( - 4,7) with radius 20?
Answer:
(x + 4)² + (y - 7)² = 20²
Step-by-step explanation:
Graphing form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-4, 7)
r is the radius = 20
-----------------------------------
Plug in the givens
(x + 4)² + (y - 7)² = 20²
(10+4×4×4×4+22)÷4/8?? what is the answer??
Answer:
5164
Step-by-step explanation:
Answer: 576
Step-by-step explanation:
4x4x4x4 = 256
10+ 256 +22
288 divided by 4/8
576
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...
PLS ANWER ASAP!! person with correct answer will be marked brainliest
Answer:
62 degrees since there are supplementary angles
Step-by-step explanation:
∠PQO= 180 degrees - 118 degrees
∠PQO= 62 degrees is the answer.
∠PQO= 180°-∠RQO -------(Supplementary Angles)
∠PQO= 180° - 118°
∠PQO= 62° answer.
Type SSS, SAS, ASA, AAS, or HL to justify why the two larger triangles are congruent. B с AC = DB D Enter
Answer:
HL
Step-by-step explanation:
The two larger triangles shown in the diagram above each has a corresponding leg that is congruent to each other (BC = BC).
Also, we are given that the hypotenuse AC of one is congruent to the hypotenuse DB of the other.
This satisfy the Hypotenuse-Leg Congruence Theorem. Thus, the two larger triangles are congruent based on the HL Congruence Criterion which says two triangles are congruent if the leg and hypotenuse of one is congruent to the corresponding leg and hypotenuse of the other.
The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below:
Step 1: 4(2x − 1) = 11 + 3x + 5
Step 2: 8x − 4 = 16 + 3x
Step 3: 8x + 3x = 16 − 4
Step 4: 11x = 24
Step 5: x = 2.18
In which step did the student first make an error and what is the correct step?
Step 2: 8x − 1 = 16 + 3x
Step 2: 8x − 8 = 6 + 3x
Step 3: 8x − 3x = 16 + 4
Step 3: 8x + 3x = 16 − 8
In which step did the student first make an error and what is the correct step?
Step 2: 8x − 1 = 16 + 3x
Step 2: 8x − 8 = 6 + 3x
Step 3: 8x − 3x = 16 + 4
Step 3: 8x + 3x = 16 − 8
Answer: 8x -3x = 16+4
Step-by-step explanation:
Researchers studying two populations of wolves conducted a two-sample t-test for the difference in means to investigate whether the mean weight of the wolves in one population was different from the mean weight of the wolves in the other population. All conditions for inference were met, and the test produced a test statistic of t=2.771 and a p-value of 0.01.
Which of the following is a correct interpretation of the p-value?
a. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771−2.771 is 0.01.
b. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 is 0.01.
c. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771−2.771 is 0.01.
d. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 is 0.01.
e. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is less than 2.771 is 0.01.a
Answer:
c. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01.
Step-by-step explanation:
Test if the sample means were different:
This means that we have a two-tailed test.
t=2.771 and a p-value of 0.01.
0.01 is the p-value of t = 2.771 multiplied by 2, as we have a two-tailed test(counting both more than 2.771 and less than -2.771). This represents the probabiility of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01, and the correct answer is given by option c.
PLEASEE HELPP ASAP!
Consider a right triangle which is
changing shape in the following
way. The horizontal leg is
increasing at the rate of 11 in/min
and the vertical leg is decreasing
at the rate of 5 in/min. At what rate <
is the hypotenuse changing in
in/min when the horizontal leg is 12
inches and the vertical leg is 9
inches?
Answer:
Step-by-step explanation:
GIVEN: dx / dt=5 in./min. and dy/ dt=−6 in./min.
FIND: dz/ dt when x=12 in. and y=9 in.
Use the Pythagorean Theorem to get the equation
x2+y2=z2
Now differentiate this equation with repect to time t getting
D{x2+y2}=D{z2} ⟶
2xdxdt+2ydydt=2zdzdt ⟶
(Multiply both sides of the equation by 1/2.)
x dx/ dt+y dy/ dt= z dz/ dt (DE)
Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.
tex2html_wrap_inline125
122+92=z2 ⟶ z2=225 ⟶ z=15
Plug in all given rates and values to the equation (DE) getting
(12)(5)+(9)(−6)=(15)dz/ dt ⟶
6=15dzdt ⟶
dz/ dt=615=25 in/min.
Hope this answer helps you :)
Have a great day
Mark brainliest
Your friend says she has an unfair number cube: the probability of getting a one or a six is 1/3 for each, and the probability of getting a two, three, four, or five is 1/12 for each. You want to test her statement. If you roll the number cube 96 times, what are the expected values for each number on the number cube
Answer:
See below.
Step-by-step explanation:
Expected number = probability x 96 (the number of rolls)
Outcome Probability Expected Value
1 1/3 (1/3)(96) = 32
2 1/12 8
3 1/12 8
4 1/12 8
5 1/12 8
6 1/3 32
Find the area of the figure
Answer:
75
Step-by-step explanation:
Answer:
Area of Figure = 75 sq. units
Step-by-step explanation:
Top Half-Portion: 30 sq. units
Dimensions: 6x5
6 x 5 = 30
Botton Half-Portion: 45 sq. units
Dimensions: 9x5
9 x 5= 45
45 + 30 = 75
Find the value of h.
Question 6 options:
A)
51.995
B)
28.321
C)
62.003
D)
95.476
Answer:
D. 95.476.
Step-by-step explanation:
sin 33 = 52/h
h = 52/sin 33
h = 95.476.
Answer:
Step-by-step explanation:
We will use right triangle trig and SohCahToa here to solve this. The side across from the angle marked as 33 degrees is given as 52; we are looking for h, the hypotenuse. The trig ratio that uses the the side across from the reference angle along with the hypotenuse is the sin ratio. Setting up the equation:
[tex]sin33=\frac{52}{h}[/tex]. Multiply both sides by h and then divide by sin(33) to get
[tex]h=\frac{52}{sin33}[/tex] so
h = 95.476, choice D.
Make sure your calculator is in degree mode and not radians when your angles are given in degrees
discribe the sides of polygon c
Classify the triangle by its sides and angles. 48.3 cm 48.3 cm 48.3 cm not drawn to scale a. equilateral, right b. scalene, right C. isosceles, acute d. equilateral, acute
Answer:
D
Step-by-step explanation:
Equilateral acute because all sides are equal
I don’t think this is correct, accidentally clicked. Thanks in advance.