Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape?
Answer:
5.6 yards
Step-by-step explanation:
1/3 of 17 is 5.6
Answer: He used 5.66666667 yards of fabric! Yw! :)
The area of a circle is 39.62cm2.
Find the length of the radius rounded to 2 DP.
Using the formula for area of a circle:
Area = pi x radius^2
Replace area with the given value:
39.62 = pi x radius^2
Divide both sides by pi
Radius^2 = 39.62/pi
Radius^2 = 12.62
Solve for radius by taking the square root of both sides
Radius = sqrt(12.62)
Radius = 3.55 cm
In a unit circle, 0 = 360°. What is the terminal point?
Answer:
The terminal point would be (1,0)
Step-by-step explanation:
Recall that in a unit circle, x° is located at the point (cosx°,sinx°) therefore the terminal point would be (cos(360°),sin(360°)) -> (1,0)
In a unit circle, it is given that 0 = 360°. The terminal point would be equal to (1,0).
what is the terminal point?The circle unit terminal Points in the unit circle to locate the terminal point, begin with (1,0).
In a unit circle, x° is located at the point (cosx°,sinx°)
In a unit circle, 0 = 360°.
therefore the terminal point would be
(cos(360°),sin(360°)) -> (1,0)
Learn more about terminal points;
https://brainly.com/question/3988149
#SPJ2
an athlete is running on a bike path with mile markers he is currently at mile marker 13 if his sister is 5 miles away determine her possible location
6 more than 5 times a number is equal to 11. Find the number.
Answer:
1
Step-by-step explanation:
Answer:
see below :)
Step-by-step explanation:
answer: 1
the equation would be written like so: 5n+6=11
5(1) = 5
5+6 = 11
n=1
I’m stuck on this somebody help!! Please
What is the gradient of the graph shown?
Give your answer in its simplest form.
1/3
Step-by-step explanation:
I used the points (0,2) and (-6,0). I hope this helps!
I need help on this problem.
Answer:
x^2+7x +49/4 and (x+7/2)^2
x^2+bx +b²/4 and (x+b/2)^2
Step-by-step explanation:
Given the expression
x^2+7x+c
We need to find the constant that completes the expression
Take the half of the cpeffiecient of x = 7/2
Taking the square of the result
Square of the result = (7/2)^2
Hence c = (7/2)^2
The expression becomes;
x^2 + 7x + (7/2)^2
= x^2+7x +49/4
= (x+7/2)^2
For x^2+bx+d
We need to find the constant that completes the expression
Take the half of the cpeffiecient of x = b/2
Taking the square of the result
Square of the result = (b/2)^2
Hence d = (b/2)^2
The expression becomes;
x^2 + bx + (b/2)^2
= x^2+bx +b²/4
= (x+b/2)^2
Ms. Arnic had a total of 318.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Arnic put into each bowl? *
1 point
63.5 oz
60.0 oz
75.7 oz
63.7 oz
Helppppppppppppppppppp me plzzzzzzzzzzzzz anyoneeeeeeeeeeeeeeeeeeeeeeee asappppppppppppppppppppppppp
Answer: 75.7 oz
Step-by-step explanation:
1.An appliance store sells major appliances (such as dishwashers, washing machines, dryers); for an additional fee, the store offers an extended service contract beyond the warranty period. The owner of this appliance store notes that she sold 145 dishwashers during the past 6 months; 45% of these customers also purchased the extended service contract. To maintain customer relations, the owner likes to contact her customers to see how they are enjoying their new appliances. She conducts a random sample of 35 of these customers. a)What is the probability that fewer than 40% of the customers in the sample purchased the service contract
Answer:
0.2776 = 27.76% probability that fewer than 40% of the customers in the sample purchased the service contract.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
45% of these customers also purchased the extended service contract.
This means that [tex]p = 0.45[/tex]
Sample of 35
This means that [tex]n = 35[/tex]
Mean and standard deviation:
[tex]\mu = 0.45[/tex]
[tex]s = \sqrt{\frac{0.45*0.55}{35}} = 0.0841[/tex]
What is the probability that fewer than 40% of the customers in the sample purchased the service contract?
This is the p-value of Z when X = 0.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.4 - 0.45}{0.0841}[/tex]
[tex]Z = -0.59[/tex]
[tex]Z = -0.59[/tex] has a p-value of 0.2776
0.2776 = 27.76% probability that fewer than 40% of the customers in the sample purchased the service contract.
Help please this question is important!!!!
solve the equation: 10y-7=27
Answer:
10y=27+7
10y=34
y=34/10
y=3.4
Step-by-step explanation:
Firstly 7 is added to 27
Then adding 7 and 27
Dividing 34 by 10
Please help me in verify this
Helppp !!!! .......................................................................
Answer:
d no is the answer I think
Step-by-step explanation:
I don't know the right anewer sorry....
just random picking
For each value of u, determine whether it is a solution to u > 9.
1. Describe the graph and critical values and characteristics of
f(x) = -(2)^x +1
2. What is the solution set? What steps did you take to determine the solution set?
x^2+9x+20/x^2-x-20 ≥ 0
3. How do you use the Unit Circle to find the cos 210° in exact form? No decimals.
4. After the parent cosine functions are:
Vertically compressed by one half
Horizontally stretched to a period of 4pi
Vertical shift of -1
A phase shift of pi units left
Where does the new function:
4a. cross the y-axis
4b. what is the maximum?
4c. What is the minimum?
Step-by-step explanation:first you do just something
Which expression is equivalent to 3 (x-9) + 6?
Answer: 3x-27
Step-by-step explanation:
Answer:
3x-21
Step-by-step explanation:
3(x-9)+6
3x-27+6
3x-21
Help, I tried! I tried using PEMDAS, but I can’t figure it out. Please explain this problem.
Answer:
10
Step-by-step explanation:
What is 8! simplified.. college quantitive literacy
Answer:
40,320
Step-by-step explanation:
[tex]8! = 8.7.6.5.4.3.2.1 = 40,320[/tex]
Answer:
40320
Step-by-step explanation:
just put it in the calculator
8 with shift x⁻¹
8*7*6*5*4*3*2*1=40,320
Enter the opposite of 4/5 and negitive 7/15
Answer:
-4/5 and 7/15
Step-by-step explanation:
the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15
---
hope it helps
One car costs $18,942.
A different car costs $9,188.
Ms. Myers buys both cars for her family members.
What is the total cost for both cars?
ANSWER CHOICES-
$27,020
$28,130
$29,130
$27,030
Answer:
28,130
Step-by-step explanation:
18,942+9188=28,130
Answer:
28,130(B)
Step-by-step explanation:
So, this is just adding one car by a different car
Or could be looked at as:
18,942+9,188
So lets go from right to left, to find the answer
8+2=10
So we know the ones place is 0.
Next we have the tens place, 8+4+(ten from last number)=13
So know we got: 30.
This gets rid of answer A.
Next we have the hundreds place, 1+9+(hundred from last number) = 11
So know we got: 130
Next we have the thousands, which is 9+8+(thousand from last number) = 18
So now we have 8,130
Well, we already get our answer from this. Since it uliminates C and D, in addition to A. With only B left.
But if we go further:
Next we have the ten thousands, which is 1+(ten thousands from last number)=2
So now we have 28,130
This is our answer
Hope this helps! ;)
Draw two lines that will never cross
Answer:
________________________________
________________________________
igs those are parallel lines LOL
Write and evaluate an expression for the problem.
You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?
An expression is _
The change received is $_
Answer:
An expression is x=20-12
The change received is $8
Step-by-step explanation:
The question is in the picture same with the answer choices.
Answer:
The answer is C
Step-by-step explanation:
(2+4i)+(9+6i)
find the sum of the complex numbers
Answer:
11+10i
Step-by-step explanation:
What you want to do is combine like terms, so take (2+4i)+(9+6i)
add the numbers with variables, in this case that is 4i and 6i, you get 10i.
Then you want to combine 2 and 9, you get 11.
You should end up with 11+10i, however in some cases you might write it as 10i+11 since some teachers want you to put the number with the highest variable first. If you need the answer for a recovery course (we know which one I just cant say it since this website doesn't like it lol) the answer will most likely be 11+10i
if you know the area and the base of a triangle, explain how you can find the height.
Answer:
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
Step-by-step explanation:
please help fast !! you’ll get 10 points
Answer:
90
Step-by-step explanation:
Jen has 13 fewer marbles than Marty. She has 20 marbles. Which equation can be
solved to find how many marbles Marty has?
F
13 m - 20
H
13m - 20
G
m 13 - 20
3
m - 2013
20-13=7
so i think the answer would be m 13-20?
please help!!!!!!!!!!!!!!
Answer:
X=27.19
Step-by-step explanation:
Sin54=22/x
X=22/sin54=27.19
The coffee shop has green mugs and blue mugs. There are 6 less than three times as many
blue coffee mugs as green coffee mugs. There are 42 blue coffee mugs. How many green
coffee mugs are there?