Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³The graph of y=f(x) is given below. Which of the answer choices shows the graph of y=f(1/3x)?
up one over three
Step-by-step explanation:
start at 3
solve 2x^2+3x-2 when x=5
Answer:
63
Step-by-step explanation:
2(5)²+3(5)-2
50+15-2
using bodmas
65-2
63
Answer:
63
Step-by-step explanation:
Bart's Art Shop sells 100 colored pencils
for $5. Circle all equivalent rates.
A. 20 colored pencils per dollar
B. 10 colored pencils per 50¢
C. 1 pencil per 5¢
D. 5 pencils per dollar
Answer:
B
Step-by-step explanation:
Divided 20 by .50 and got this
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant,
x is in the fourth quadrant; evaluate
tan2θ
A. 24/5
B. 24/7
C.12/13
By definition of tangent,
tan(2θ) = sin(2θ) / cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
where the latter equality follows from the Pythagorean identity, cos²(θ) + sin²(θ) = 1. From this identity we can solve for the unknown value of sin(θ):
sin(θ) = ± √(1 - cos²(θ))
and the sign of sin(θ) is determined by the quadrant in which the angle terminates.
We're given that θ belongs to the third quadrant, for which both sin(θ) and cos(θ) are negative. So if cos(θ) = -4/5, we get
sin(θ) = - √(1 - (-4/5)²) = -3/5
Then
tan(2θ) = sin(2θ) / cos(2θ)
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2θ) = 24/7
24 fl.ounces = how many cups?
Answer:
3 cups
Step-by-step explanation:
Answer:
Its 3
Step-by-step explanation:
you divide the volume value by 8
24 = 3
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 20, 15, and 30 min, respectively, and the standard deviations are 1, 2, and 1.5 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component
Answer:
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.
The mean values are 20, 15, and 30 min, respectively:
This means that [tex]\mu = 20 + 15 + 30 = 65[/tex]
The standard deviations are 1, 2, and 1.5 min, respectively.
This means that [tex]\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926[/tex]
What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?
Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 65}{2.6926}[/tex]
[tex]Z = -1.86[/tex]
[tex]Z = -1.86[/tex] has a pvalue of 0.0314
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component
i don't get it I need help
Answer:
80
Step-by-step explanation:
The area of a pyramid is given by the formula 1/3Bh.
We get the B from the area of the base of the pyramid, which is 1/2(6)(8) which is 24 inches. The height given is 10.
1/3(24)(10) is 80 inches cubed.
Althea needs 147 ounces of coldcuts for a party. How many pounds and ounces does she need?
Answer:
9 pounds and 3 ounces
Step-by-step explanation:
Althea needs 9 pounds and 3 ounces of cold cuts for her party.
How to convert ounces to pounds?To convert ounces to pounds, divide the number of ounces by 16 since there are 16 ounces in one pound.
147 divided by 16 is equal to 9.1875, which can be rounded to 9.
Then, to find the remaining ounces, multiply the decimal part of the result (0.1875) by 16.
This is equal to 3 ounces.
Therefore, 147 ounces is equal to 9 pounds and 3 ounces.
Learn more about Arithmetic operations here:
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If 8 minus some number divided by 3 = 6 what is the number?
Answer:
n = 6
Step-by-step explanation:
Represent the unknown number by n. Then 8 - n/3 = 6.
Consolidate the constants on the left side: 2 - n/3 = 0, or n/3 = 2.
Multiplying both sides by 3 results in: n = 6
prove trigonometric identity:
[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help
from the pic above, hope it helps you
Plz help me well mark brainliest if correct!!!
Answer:
C
Step-by-step explanation:
pls help figure out any triangle. It would be nice if the formula and steps are included, thank u!
Answer:/Step-by-step explanation:
We would apply pythagorean theorem to find the variable in each triangle.
Pythagorean theorem is given as: c² = a² + b², where c is the hypotenuse length or longest leg while a and b are the two other legs.
Thus:
a. h² = (√20)² + 4²
h² = 20 + 16
h² = 36
h = √36
h = 6 units
b. t² = 9² - (√17)²
t² = 81 - 17
t² = 64
t = √64
t = 8 units
c. h² = (√8)² + (√8)²
h² = 8 + 8
h² = 64
h = √64
h = 8
helpppppppppp me
i ned help
Answer:
C) 84 cm²
Step-by-step explanation:
The question is asking for the surface area of the square pyramid. So we need to get the area of all the surfaces, then add them together.
6 cm × 6 cm = 36 cm²
1/2(6 cm × 4 cm) = 12 cm² (There are 4 of these sides)
12 cm² + 12 cm² + 12 cm² + 12 cm² + 36 cm² = 84 cm²
The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?
Answer:
Positive 233
Step-by-step explanation:
7300-3280-2620-1167(14000/12)=233.
The figure below shows three edge views of a square loop with sides of length ℓ = 0.420 m in a magnetic field of magnitude 2.25 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field.
Three figures show an x y coordinate plane with the +x-axis pointing to the right and the +y-axis pointing upward. A magnetic field labeled vector B points to the right in the positive x-direction. In each figure, a bar of length ℓ is shown in different orientations.
In the first figure, the bar is oriented vertically, perpendicular to the magnetic field.
In the second figure, the bar is tilted so that the top end is further right than the bottom end, making a 60.0° angle with the magnetic field.
In the third figure, the bar is oriented horizontally, parallel to the magnetic field.
HINT
(a)
perpendicular to the magnetic field
Wb
(b)
60.0° from the magnetic field
Wb
(c)
parallel to the magnetic field
Wb
The magnetic flux of the following options are; 0.072, 0.062, 0.
How to calculate the magnetic flux?The magnetic flux can be calculated by the given formula;
Flux = magnetic field B x area A x cos(angle between B and normal of A)
Given;
Magnetic field B = 2.25 T
The length ℓ = 0.420 m
Flux = 2.25 * 0.42^2 * cos(angle)
Flux = 0.072 * cos(angle)
a) The perpendicular to the magnetic field Wb
So, angle = 0°, flux = 0.072 Wb
b) 60.0° from the magnetic field Wb
So, angle = 30°,
flux = 0.072*cos(30) = 0.062 Wb.
c) parallel to the magnetic field Wb
So, angle = 90°, flux = 0
Learn more about magnetic flux here;
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1 . Josie is taking a family vacation and she had to do a last minute grocery shop for the trip. She needs to buy graham crackers for S'mores . A 12 once box is priced at $3.49 and a 16 once box is priced at $3.99. Which is the better deal?
2. Todd drives 450 miles in 9 hours. What is his average speed ?
3. A box of 80 Legos cost $4. How much does 1 lego cost ?
Which expression can be used to find the surface area of the following rectangular prism?
Choose 1 answer:
(Choice A)
30+15
B
15+15+30+30+18+18
C
15+15+30+30+6
D
15+18+30
9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Find the surface area of the cylinder represented by the trunk of the tree.
Answer:
43.98
Step-by-step explanation:
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
V=3052.1 square units.
Step-by-step explanation:
Using the formulas
V=4
3πr^3
d=2r
Solving for V
V=1
1/6πd^3=1
1/6·3.14·18^3=3052.08
round to the nearest tenth place so your volume would be 3052.1 :)
Answer:
3052.1
Step-by-step explanation:
The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).
Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.
18 / 2 = 9
9 is the radius.
Now, we have our final equation:
4/3 x pi x radius x radius x radius
4/3 x 3.14 x 9 x 9 x 9 = 3052.08
(3.14 is commonly used for pi)
3052.08 rounded to the nearest tenth is 3052.1
Therefore, 3052.1 is the volume of the sphere.
Consider the following regression model: Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter), and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise. What is the regression equation for the winter rainy days?
Answer:
The regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".
Step-by-step explanation:
Given:
Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε ...........(1)
Since there can be only one of spring, summer,fall, and winter at a point in time or in a season, we will have the following when there are winter rainy days:
Spring = 0
Summer = 0
Fall = 0
Rain = 1
Substituting all the relevant values into equation (1) and equating ε also to 0, a reduced form of equation (1) can be obtained as follows:
Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0
Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0
Humidity = (β0 + β5) + β1Temperature
Therefore, the regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".
The regression equation for winter rainy days is
Humidity = β0 + β5 + β1Temperature
The regression model is given as:
Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε
To determine the regression equation for winter rainy days, we consider that:
[tex]Rain = 1[/tex]
This also means that:
[tex]Spring = 0[/tex]
[tex]Summer = 0[/tex]
[tex]Fall = 0[/tex]
ε = 0
Because each of these seasons can only happen one at a time, and the current season is winter
So, the regression equation becomes
Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0
Evaluate the products
Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0
The sum of 0 is 0. So, we have:
Humidity = β0 + β1Temperature + β5
Rewrite as:
Humidity = β0 + β5 + β1Temperature
Hence, the regression equation for winter rainy days is
Humidity = β0 + β5 + β1Temperature
Read more about regression equations at:
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What is the median of the following set?
28, 45, 12, 34, 36, 45, 19, 20
28
34
31
35
Answer:
31 IS YOUR ANSWER!!
Step-by-step explanation:
I would not mind the brainliest please!!
Hi, I need the area to this problem i need the answer and to show my work no hackers please
Help. I need the homework done.
Area (ABC)=82
Area (MNK)=78
Area (MQLK)= 53
Calculate the area of the whole shaded shape (AMBQNLCK)
https://homework.russianschool.com/resource?key=13066ibamxerc
Answer:
the area of the triangle ABC is ,then value of a is 27cm.
Solution:
Given Data:
Area of the triangle ABC is
To Find:
Value of a?
Step 1:
Step 2:
By Law of Sines
Simplify the above expression
--- eqn 1
Step 3:
Step 4:
Substitute the A, B and C value from the given Data.
Apply the Sin theta respective value.
From the above we finally got the value of "a" which is 27 cm.
Step-by-step explanation:
ZA and B are vertical angles. If m A = (5x + 6) and m B = (6.2 – 25)°, then find the value of x.
Answer:
The value of x is 25.83.
Step-by-step explanation:
Vertical angles:
If two angles are vertical, they have the same measure.
In this question:
Angle A has measure 5x + 6
Angle B has measure 6.2x - 25
Since they are vertical:
[tex]A = B[/tex]
[tex]5x + 6 = 6.2x - 25[/tex]
[tex]1.2x = 31[/tex]
[tex]x = \frac{31}{1.2}[/tex]
[tex]x = 25.83[/tex]
The value of x is 25.83.
372.3 in expanded notation
Answer: Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Step-by-step explanation:
Solve for x 4x+3 2x+9
Answer:
x = 28°
I hope it's helps you
Answer:
X=28
Step-by-step explanation:
(4x+3)+(2x+9)=180
6x+12=180
6x=168
X=28
can someone help me with this question I tried all apps and it gives me the wrong answer, the due date is today plus its half of my grade if u helped ilysm u saved my life
Answer:
[tex]4\frac{1}{12}[/tex] miles.
Step-by-step explanation:
The goal of the family is to hike [tex]11 \frac{2}{3}[/tex] miles in total. Converting this to an improper fraction, we need a total of [tex]\frac{35}{3}[/tex] miles.
On Monday the family completed [tex]2 \frac{1}{12}[/tex] miles, or [tex]\frac{25}{12}[/tex] miles.
On Tuesday the family completed [tex]2 \frac{1}{3}[/tex] miles, or [tex]\frac{7}{3}[/tex] miles.
On Wednesday the family completed [tex]3 \frac{1}{6}[/tex] miles, or [tex]\frac{19}{6}[/tex] miles.
Next, we can add the total amount of hiking the family has completed from Monday-Wednesday.
[tex]distance= \frac{25}{12} + \frac{7}{3} + \frac{19}{6}[/tex]
In order to add these values, we need to convert all of the fractions so that they have the same denominator. The least common multiple (LCM) of 12, 3, and 6 is 12, so the fractions can all be converted into having a denominator of 12.
Monday's distance [tex]\frac{25}{12}[/tex] already has a denominator of 12.
Tuesday's distance is [tex]\frac{7 * 4}{3 * 4} = \frac{28}{12}[/tex].
Wednesday's distance is [tex]\frac{19 * 2}{6 * 2} = \frac{38}{12}[/tex].
Convert the total distance goal to have a denominator of 12 as well. [tex]\frac{35 * 4}{3 * 4} = \frac{140}{12}[/tex].
Sum the total distance the family has walked on Monday-Wednesday. [tex]\frac{25}{12} + \frac{28}{12} + \frac{38}{12} = \frac{91}{12}[/tex].
Subtract this value from the total hiking distance. [tex]\frac{140}{12} - \frac{91}{12} = \frac{49}{12}[/tex]. The family needs to walk [tex]\frac{49}{12}[/tex] miles, or [tex]4 \frac{1}{12}[/tex] miles on Thursday to complete their goal.
As the question told , the goal of they hiking is reaching to the 11 2/3 hours of hiking which means :
The sum of the hours they hiking during those four days must equal 11 2/3 hours .
Suppose they hiking for x hours on Thursday so we have the following equation :
2 1/12 + 2 1/3 + 3 1/6 + x = 11 2/3
To simplify the addition and subtraction of fractions, we must find a common denominator between them ;
The smallest common multiple between the numbers 3, 6, and 12 is the denominator we want, which is 12. But because day 24 is easier to understand, I consider the common denominator of fractions to be 24.
2 + 2 + 3 + 1/12 + 1/3 + 1/6 + x = 11 + 2/3
7 + 2/24 + 8/24 + 4/24 + x = 11 + 16/24
7 + ( 2 + 8 + 4 )/ 24 + x = 11 + 16/24
7 + 14/24 + x = 11 + 16/24
Subtract sides minus 14/24
7 + 14/24 - 14/24 + x = 11 + 16/24 - 14/24
7 + 0 + x = 11 + 2/24
7 + x = 11 + 2/24
subtract sides minus 7
7 - 7 + x = 11 - 7 + 2/24
0 + x = 4 + 2/24
x = 4 + 1/12
x = 4 1/12
In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.50.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
A. 0.15
B. 0.25
C. 0.10
Ο Ο
D. 0.20
SUBMIT
Answer:
C. 0.10
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes to the city playoffs
Event B: Goes to the state playoffs.
In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.
This means that [tex]P(A) = 0.2[/tex]
The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.
This means that [tex]P(B|A) = 0.5[/tex]
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]
The correct answer is given by option C.
