Answer:
1. a. 75.39 in² b. 65.97 in²
2. Decreased
Step-by-step explanation:
1.
a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.
Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)
Substituting the values of the variables into the equation, we have
A = 2πr(r + h)
A = 2π(3 in)(3 in + 1 in)
A = (6π in)(4 in)
A = 24π in²
A = 75.39 in²
b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.
Since the area of the wedge, A' is one-eight the area of the cheese, A
A'= A/8
= 75.39 in²/8
= 9.42 in²
The area of the remaining cheese is thus, area of cheese - area of wedge = A - A' = 75.39 in² - 9.42 in² = 65.97 in²
Question 2 - Did the surface area increase, decrease, or remain the same
Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.
You roll a fair die three times. What is the probability of each of the following? a) You roll all 2's. b) You roll all odd numbers. c) None of your rolls gets a number divisible by 3. d) You roll at least one 4. e) The numbers you roll are not all 4's.
Answer:
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]
[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2} =\frac{2}{8}[/tex]
[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6} =[/tex][tex]\frac{8}{27}[/tex]
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]
[tex]\frac{8}{27}[/tex]
Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT
Answer:
I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
4-2 = 2
3 - (-2) = 5
Put the y values over the x
[tex]\frac{2}{5}[/tex]
haley puts these 12 tiles in a bag and shakes the bag.Then she picks a tile at random.What is the probability she picks a tile that is multiple of 3
Answer:
1 in 3 chance
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12
This means there are 4 multiples.
4/12 or 4 ÷ 12 = 1/3
So there is a 1 in 3 chance (33.333%) to get a multiple of 3
Please help me please help no links
in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?
Answer:60 female workers
Step-by-step explanation:12+18=30
30x2=60
help plss i'm lost i need help
Answer:
2) +20
4) +14
5) -100
6) -17
7) 10
8) -9
9) -8
10) +11
Step-by-step explanation:
look at the words and it will tell you whether it's positive or negative
ex. one hundred feet below sea level- it says below which means you would be going down
Factor by removing a common
1. 3a +9ab
Answer:
3a(1+3b)
Step-by-step explanation:
First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.
how does physical activity improve school achievement
Answer:
Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Monday Tuesday Wednesday Thursday Friday On Time ||| || Late | ||| |||| Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Step-by-step explanation:
1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Answer:
Can I get brainliest please??
Step-by-step explanation:
please help!! Area of Trapezoids and Triangles
Answer: Area of the shape is 168 ft.
Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.
Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.
Solve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
4, 5, 6
Step-by-step explanation:
- 6m < -24
-m < -4
m > 4
m has to be greater than 4
Which of the following will NOT produce a triangle?
a
angle measures of 47°, 58°, 75°
b
angle measures of 61°, 61°, 58°
c
side lengths of 5.5 ft, 11 ft, and 5.5 ft
d
side lengths of 5 in, 7 in, and 8 in
Answer:
c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft
Step-by-step explanation:
The two shorter side lengths added together must exceed the longer side length (and equal to does not work)
Answer:
C) 5.5ft, 11ft, 5.5ft
Step-by-step explanation:
A) 47+58+75 = 180 (Correct)
B) 61+61+58 = 180 (Correct)
C) 5.5+5.5>11 - 11>11 (Incorrect- the two smaller sides must be greater than the largest sides when added together)
D) 5+7>8(Correct)
Starting point (1, 4) Show me the new coordinates of the point (1, 4) after it is:
Reflected over the line y = x.
Reflected over the line y = −x.
Rotated through 90°clockwise about the origin.
Rotated through 90°counterclockwise about the origin
Step-by-step explanation:
Reflected over the line y=x is (4,1)
Reflected over the line y=-x is (-4,-1)
Rotated through 90 clockwise about the origin is (4,-1)
Rotated through 90 counterclockwise about the origin is(-4,1)
draw the graph of the equation:
x+6y=0
please annotate a graph or say the coordinates (for ex: (0, 6))
Answer:
Step-by-step explanation:
find the following:1) 30% of 90
Answer:
27
Step-by-step explanation:
30/100 ×90 is 27.
it's making me type more but that's the answer :)
Answer:
30%×90
=30/100×90
=27 is the answer of this question
What is the length of ab?
Answer:
Step-by-step explanation:
shin godzilla vs zilla
Answer:
I'd say zilla
Step-by-step explanation:
shin Godzilla would win because here is one scenario Zilla jumps on his back biting him then Shin Godzilla shoots his back beams killing him. plus Zilla shots only fire not any of the radiation things
HELP................!!!!!!!!
Answer:
a
Step-by-step explanation:
Answer fast thank you
Answer:
D. 91 1/8
Step-by-step explanation:
The small square box has a width of 1 1/2. Since it’s a SQUARE box all sides are the same sides. to find volume we have to do length * width * height. the bigger square box is three times the small box size. So we would have to do 1 1/2 times three. Which is 4 1/2. Since all sides are the same and we have to do L*W*H, we have to multiply 4 1/2 by 4 1/2 by 4 1/2. Which equals 91 1/8. I find it easier to turn the fractions into decimals, so 1 1/2 is 1.5.
1.5 times 3= 4.5 4.5 times 4.5 times 4.5 = 91.125 convert to a fraction and its 91 1/8
please help me I dont understand this question
Answer:
sinx=opp/hyp=6/10=0.6
x=sin-(0.6)=37°
Find the perimeter of the semicircular region
22 mm
Answer:
The permiter is 22mm since its still the same
Step-by-step explanation:
tiffany spent 2 1/8 hours studying 1 3/8 hours talking on the phone 100 percent of an hour on chores and 1.75 hours walking which of the following lists her activities in order of greatest to least amount of time F. Chores, phone, walk, study G. Chores, study, walk, phone H. Study, phone, walk, chores J. Study, walk, phone, chores
Answer: J - Study. walk. phone, chores
please help me asap!!
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
x^2 + 5^2 = 13^2
x^2 + 25 = 169
x^2 = 144
---> x = 12
Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14
adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°
Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = [tex]Tan^{-1}[/tex] 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.848
= 58°
Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)
Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.
This question is incomplete, the complete question is;
Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)
Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.
Test mean
Hypothesized value : 1500
Actual Estimate : 1613.07
DF : 251
Std Dev : 782.626
t Test
prob > |t| 0.0226*
Answer:
the value of the test statistic used to gather evidence against the null hypothesis is 2.29
Step-by-step explanation:
Given the data in the question,
we determine Test statistics of using the formula
t = (x" - μ) / (s/√n)
where;
μ is the theoretical mean ( 1500 )
x" is the observed mean ( 1613.07)
s is the standard deviation ( 782.626 )
n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )
so we substitute
t = (1613.07 - 1500 ) / (782.626 / √252)
t = 113.07 / 49.3008
t = 2.29
Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29
2.8332 rounded to the nearest thousand
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
C) angle 7
Step-by-step explanation:
angle 7
Need help ASAP I will mark Brainlyist
D. Write an original equation and solve.
Eight fewer than twice the sum of x and 4 is 10.
Answer:
2(x+4) - 8 = 10
Step-by-step explanation:
the sum of x and 4: x+4
twice the sum of x and 4: 2(x+4)
eight fewer than twice the sum of x and 4: 2(x+4) - 8
eight fewer than twice the sum of x and 4 is 10: 2(x+4) - 8 = 10