Answer:
1/3
Step-by-step explanation:
P(rolling a number less than 5 by using a 6 sided die) = 4/6
Complement = 1 - 4/6
Complement = 2/6 = 1/3
Answer:
I believe it would be 2/3
A recipe includes 6 cups of flour and 3 cup of shortening. Write the ratio of the amount of flour to the amount of shortening as a fraction in simplest form
Answer:
2 cups of flour : 1 cup of shortening
Step-by-step explanation:
So lets gather our information.
We know it takes 6 cups of flour for the reciepe.
We also know it takes 3 cups of shortening.
To find the ratio, put the two number values in a fraction:
cups of flour/cups of shortening
=
6/3
This says for 6 cups of flour, there are 3 cups of shortening
We can simplyfy this to:
2/1
This says for 2 cups of flour, there is 1 cup of shortening.
Answer:
2/1
Hope this helps! ;)
What do coordinate pairs on the graph of a straight line represent?
This is middle school math
it represents a origin on the plane
PLEASE HELP I WILL MAKE YOU BRAINLIEST IF IT LETS ME
NO FAKE LINKS OR YOU WILL BE REPORTED
Answer:
The top left graph
Step-by-step explanation:
All the others are wrong
Answer:
the first one (top left)
go over however many numbers on the left side of the coordinate and up whatever is on the right its always x first y second
Step-by-step explanation:
4 3/12 + 1 4/12 = (make sure you simplify the fraction)
Answer:
5 7/12 but it's 67/12 as an improper fraction
Step-by-step explanation:
i will give Brainiest if your right
Answer:
Step-by-step explanation:
B looks good
Drag the fraction to the boxes and below to complete the subtraction sentence
Answer:
first box is 4/5 and the second box (=) is 7/15
Calculator
The ages of people at a concert are normally distributed with a mean of 24 years and a standard deviation of 3.2
years.
What is the age of a concert attendee with a z-score of -1.32
Enter your answer, rounded to the nearest tenth, in the box.
years
Answer:
19.8 years old
Step-by-step explanation:
If Z=(x-μ)/σ where Z=-1.32, σ=3.2, and μ=24, then:
-1.32=(x-24)/3.2
-4.224=x-24
19.776=x
19.8
Therefore, the age of a concert attendee with a z-score of -1.32 is 19.8 years old.
convert 23pi/12 into degrees
Answer:
Step-by-step explanation:
23 x 180/ 12 = 345°
Column I Column II Sin-1 1 / a. The number in Column I is greater. b. The number in Column II is greater. c. The two numbers are equal. d. The relationship cannot be determined using the given information.
Answer:
Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2
Step-by-step explanation:4
A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?
Answer:
34.91
Step-by-step explanation:
433.91
-
399.00
————
34.91
Find the angle between u=
= (8,- 2) and v= (9,3). Round to the nearest tenth of a degree.
A 32.5
B 6.3
C 42.5
D 16.3
Answer:
the angle between u=(8, -2) and v=(9,3) is 32.5°
Step-by-step explanation:
u=(8,-2)=(u1,u2)→u1=8, u2=-2
v=(9,3)=(v1,v2)→v1=9, v2=3
We can find the angle between two vectors using the formula of dot product:
u . v =║u║║v║cos α (1)
And the dot product is:
u . v = u1 v1 + u2 v2
u . v = (8)(9)+(-2)(3)
u . v = 72-6
u . v = 66
║u║=√(u1²+u2²)
║u║=√((8)²+(-2)²)
║u║=√(64+4)
║u║=√(68)
║u║=√((4)(17))
║u║=√(4)√(17)
║u║=2√(17)
║v║=√(v1²+v2²)
║v║=√((9)²+(3)²)
║v║=√(81+9)
║v║=√(90)
║v║=√((9)(10))
║v║=√(9)√(10)
║v║=3√(10)
Replacing the known values in the formula of dot product (1):
u . v =║u║║v║cos α
66 = 2√(17) 3√(10) cos α
Multiplying:
66 = 6√((17)(10)) cos α
66 = 6√(170) cos α
Solving first for cos α: Dividing both sides of the equation by 6√(170):
Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:
(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170
cosα=11/13.03840481→cosα=0.84366149
]
Use the isosceles trapezoid below to
answer the following questions.
N
P
M
Q
Answer:
a, yes
b no
c yes
d no
Step-by-step explanation:
A cubical water tank is 1.2m high. how much water does it hold?
Answer:
1728000cm^3
Step-by-step explanation:
100cm-1m
x-1.2m
cross multiply
x=120cm
v=lxbxh
=120^3=1728000cm^3
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
Please please i need help
Suppose $600 is deposited into an account every quarter. The account earns 5% interest, compounded quarterly. What is the future value of the account
after 5 years?
Answer:
$13,537.79
Step-by-step explanation:
The future value of the account after 5 years will be 762 dollars.
What is compound interest ?Compound interest is calculated for the principle borrowed as well as previous interest accumulated.
According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.
Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.
We know the formula for Amount(A) compounded quarterly is
A = P[ 1 + (r/4)/100)]⁴ⁿ.
A = 600[ 1 + (5/4)/100]⁴ⁿ.
A = 600[ 1 + 1.2/100]⁴ˣ⁵
A = 600[ 1 + 0.012]²⁰.
A = 600[ 1.012]²⁰.
A = 600(1.27).
A = 762 dollars.
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11X - 3/6 = 5 Solve for X
Answer:
X = 1/2
Step-by-step explanation:
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
(a) Find the average speed over the given time intervals.
(i) [1, 2] m/s
(ii) [1, 1.5] m/s
(iii) [1, 1.1] m/s
(iv) [1, 1.01] m/s
(v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s.
Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]
(a)
(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]
[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]
[tex]=50.42[/tex] m/s
(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]
[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]
[tex]=51.35[/tex]m/s
(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]
[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]
[tex]=52.094[/tex]m/s
(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]
[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]
[tex]=52.2614 [/tex]m/s
(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]
[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]
[tex]=52.27814 [/tex]m/s
(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]
[tex]=56-1.86[/tex]
[tex]= 54.14[/tex] m/s
24.
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches. Find the length of the
second leg.
Answer:
7.48 in.
Step-by-step explanation:
Given :-
One leg of a right triangle is 5 inches. The hypotenuse is 9 inches.And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,
[tex]:\implies[/tex] p² + b² = h²
[tex]:\implies[/tex] 5² + b² = 9²
[tex]:\implies[/tex] 25 + b² = 81
[tex]:\implies[/tex]b² = 81 -25
[tex]:\implies[/tex] b² = 56
[tex]:\implies[/tex] b = 7.48 in
Hence the measurement of second leg is 7.48 inches .
An earthworm can travel 24 feet in an hour. Which of the following is equivalent to this rate? a.) 120 inches per minute b.) 4.8 inches per minute c.) 30 inches per minute d.) 0.2 inches per minute
Answer:
B
Step-by-step explanation:
The required equivalent rate is 4.8 inches per minute. Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
here,
1 feet = 12 inches and 1 hour = 60 minutes
Now,
given rate = 24 feet/hour,
= 24 (12 inch) / (60 minutes)
= 4.8 inch per minnute.
Thus, the required equivalent rate is 4.8 inches per minute. Option B is correct.
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1. Write the equation of the line best fit
Evan said that this shape is a rhombus. Joel said that it is a trapezoid. Who is correct? Tell how you know.
Answer:
Evan is Correct.
Step-by-step explanation:
This shape is considered a rhombus because of the fact that it has all equal side lengths. Trapezoids are defined by having only one set of parallel lines, while the image appears to have two.
The following set of coordinates represents which figure?
(2, 5), (1, 3), (2, 1), (3, 3)
Rhombus
Rectangle
Square
Parallelogram
I need help! Please no link answer :(
Answer:
B. 30
Step-by-step explanation:
Given.:
m<4 = 2x°
m<5 = 4x°
Required:
Value of x
Solution:
<4 and <5 are angles in a straight line, therefore:
m<4 + m<5 = 180°
Substitute
2x + 4x = 180°
6x = 180°
x = 180/60
x = 30
A rectangle has a width of 9 inches and a length of 15 inches. If the rectangle is enlarged by a scale factor of 3/2, what is the perimeter of the dilated rectangle
Answer:
P = 48 in²
Step-by-step explanation:
Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of [tex]\frac{3}{2}[/tex]
To find: Perimeter of the dilated rectangle
Formula: [tex]P=2(l+w)[/tex]
Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.
[tex]P=2(l+w)=2[/tex] × [tex](15+9)=48in[/tex]
Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²
Answer:
it's 9in
Step-by-step explanation: i got it right on my test
Heeeeeeeeeeeeeeeeeeeeeeeeeeelp!
Answer:
Canvas thing
Step-by-step explanation:
PUT MORE EXPLANATION!
Solve the following IBVP
Answer:
b or c
Step-by-step explanation:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.
Required:
a. Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
b. Determine the p value.
Answer:
a) The test statistic is [tex]z = -2.51[/tex]
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:
[tex]H_a: p_{B} - p_{NY} < 0[/tex]
While the null hypothesis is:
[tex]H_0: p_{B} - p_{NY} = 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Standard error = 0.1
This means that [tex]s = 0.1[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.251 - 0}{0.1}[/tex]
[tex]z = -2.51[/tex]
The test statistic is [tex]z = -2.51[/tex]
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.
Find the mode of the set of data. 6, 6, 6, 8, 10, 10, *
Answer:
6
Step-by-step explanation:
The mode is the number that appears most in the data set.
So your answer would be 6 because it appears 3 times.
Answer:
6
Step-by-step explanation:
The mode of a data set is the number that shows up the most frequent. 6 pops up three times, 8 pops up only once, and 10 pops up twice.
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hope it helps
What is the value of the interior angle
Answer:
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3
Step-by-step explanation: