Answer:
1 cookie = 0.05 cups of sugar, Equation: s = 0.05c
Step-by-step explanation:
1 1/2 can simplify to 1.5
1.5/30 = 0.05
This means 0.05 cups of sugar is needed for 1 cookie
The equation would be s = 0.05c because the 0.05 of the cookies will be sugar.
Simplify the following expression.
x + 4x + 6x =
Answer:
11x
Step-by-step explanation:
All 3 of the terms have the same base, meaning you just have to combine the terms together (1)x+4x+6x=11x <3
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=
Step-by-step explanation:
Let breadth =x
Length=5x-3
As we know that in a rectangle
[tex]\boxed{\sf Area=lb}[/tex]
Substitute the values[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]
[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]
[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]
[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]
Ignore negative value[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]
[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]
A number is chosen at random from 1 to 25. Find the probability of selecting an odd number or multiples of 5. *
Answer:
Odd number: 13/25 (52%)
Multiples of 5: 5/25 (20%)
Step-by-step explanation:
There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).
The probability of selecting an odd number or multiples of 5 is 3/5
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given question,
A number is chosen at random from 1 to 25.
n(S) = 25
Let event A: selecting odd number
⇒ A = {1 , 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}
⇒ n(A) = 13
So, the probability of selecting odd number would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 13/25
Let event B: selecting a number which is multiple of 5
⇒ B ={5, 10, 15, 20, 25}
⇒ n(B) = 5
So, the probability of selecting a number which is multiple of 5 would be,
⇒ P(B) = n(B)/n(S)
⇒ P(B) = 5/25
Let (A ∩ B) represents the odd numbers which are multiple of 5
⇒ (A ∩ B) = {5, 15, 25}
⇒ n(A ∩ B) = 3
So, the probability of selecting odd numbers which are multiple of 5 would be,
⇒ P(A ∩ B) = n(A ∩ B)/n(S)
⇒ P(A ∩ B) = 3/25
So, the probability of selecting an odd number or multiples of 5 is,
⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(A ∪ B) = 13/25 + 5/25 - 3/25
⇒ P(A ∪ B) = 15/25
⇒ P(A ∪ B) = 3/5
Therefore, the probability of selecting an odd number or multiples of 5 is 3/5
Learn more about the probability here:
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PLEASE HELP ASAP
How do you find the total for a purchase if there is sales tax?
Answer:
Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest
Answer:
just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator
7x - 2 = 9x+5
Please help!!
Answer:
x=-7/2
Step-by-step explanation:
Answer:
x = -7/2 or -3.5
Step-by-step explanation:
7x - 2 = 9x + 5
Add 2 to both sides
7x = 9x + 7
Subtract 9x from both sides
-2x = 7
Divide both sides by -2
x = -7/2
x = -3.5
(3x+5)(3x+9) express as a trinomial
Answer:
9x^2+42x+45
Step-by-step explanation:
Foil (3x+5)(3x+9) by taking the numbers in the left parenthesis and multiplying it by the numbers on the right. So 3x(3x), then 3x(9), then 5(3x) and 5(9). Now we have 9x^2 + 27x+15x+45, simplify to get 9x^2+42x+45.
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
What is the circumference, in feet, of the circle. Round to the nearest tenth
Answer: 4.7 ft
Step-by-step explanation:
Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.
C=3.14(d)
1.) Insert the numbers into the formula: C= 3.14*1.5
You’ll get 4.71 as your answer.
Next round to the nearest tenth and you’ll get 4.7.
Hope this helps!
g You want to test whether a new commercial increases brand recognition. You use a one-week testing period to evaluate the new ad. The null hypothesis for the test, H0, will be:
Answer:
H0: the new commercial increases brand recognition
Step-by-step explanation:
The null hypothesis is a statement about the given population of interest which is believed to be true and a contradiction of the alternative hypothesis.
In this question, we are testi whether a new commercial increases brand recognition. So the null hypothesis,
H0 would be,
The new commercial increases brand recognition
Joe is paid $7 for each hour he works. Which one shows this same ratio
Answer:
7/1
Step-by-step explanation:
HELPPPPPP
I need to know if those questions are true or false! Please helpppp
Answer:
Ture
Step-by-step explanation:
What fraction would represent the ratio of the cost
of gas and oil to the total cost of running a car in
1994? Write your fraction in simplest form.
Gas and Oil- $750
Other-$2,250
Total cost-$3,000
Please answer this is my last assignment for the semester
Answer:
It's C
Step-by-step explanation:
Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C
What is this? Please answer with an explanation
Answer:
Slope = -2
Step-by-step explanation:
Since, slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Rise = -(y-intercept)
Run = (x-intercept)
From the graph attached,
y - intercept = -(4) = -4
x - intercept = 2
Therefore, slope the line given in the graph attached will be,
Slope = [tex]\frac{-4}{2}[/tex] = -2
Slope = -2
I need help ASAP plsss
x would be 102° . hope it helps
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
what is the radius of the circle?
Answer:
Step-by-step explanation:
What is -7 2/3 + (5 1/2) + 8 3/4 ?
Answer:
-72/3+51/2+83/2=89/4
Step-by-step explanation:
2x/5 + 5/8 = 1/4 help
[tex] \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} [/tex]
[tex] \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} [/tex]
[tex] \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} [/tex]
[tex] \frac{2x}{5} = \frac{2 - 5}{8} [/tex]
[tex] \frac{2x}{5} = \frac{ - 3}{8} [/tex]
[tex]2x = \frac{ - 3}{8} \times 5[/tex]
[tex]2x = \frac{ - 15}{8} [/tex]
[tex]x = \frac{ - 15}{8} \div 2[/tex]
[tex] x = \frac{ - 15}{8} \times \frac{1}{2} [/tex]
[tex]x = - \frac{ 15}{16} [/tex]
PLZ HELP!!
Which of the following shows how the distributive property can be used to find -22(1.5)?
O-22(-1) + -22(-0.5)
O 22(1) + 22( 0.5)
O-22(1) + -22(0.5)
0 -22(0.75) +-22(-0.75)
Answer:
the answer is c
Step-by-step explanation:
hope this helped
Answer:
c. -22(1) + -22(0.5)
Step-by-step explanation:
A researcher reports that the average salary of assistant professors is more than $42,000. A sample of 30 assistant professors has a mean salary of $43,260. At α = 0.01 test the claim that assistant professors earn more than $42,000 a year. A standard deviation of the population is $5230. Traditional Method.
(a) Identify the null and alternative hypotheses for this test.
(b) Identify the test statistic for this hypothesis test
(c) Accept or Reject the claim
Here I couldn't do this on Brainly but I made seperate pdf and did
PLEASEEEE HELP ME!!!!!
Answer:
look it up on tiger algerbra
Step-by-step explanation:
Answer:
3 TIMES 2 DONT EQUAL 7
Step-by-step explanation:
Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96
Answer:
-24.35, -7.96, 11.20
Step-by-step explanation:
Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.
Positive is bigger
Negative is smaller
*EXTRA*
negative plus negative = positive
negative plus positive = negative
negative times negative = positive
negative times positive = negative
Hopefully you will understand!
Please give me the correct answer
Answer: Choice B) The plane is at least 20 times faster than the bird
========================================================
Explanation:
We'll divide the speed of the plane over the speed of the bird.
First divide each coefficient of the scientific value expressions:
7/3 = 2.33 approximately
Then divide the 10^n exponent expressions and we get
10^3 divide by 10^2 = 10^(3-2) = 10^1
So overall, the result of dividing the two speeds leads to approximately
2.33*10^1 = 2.33*10 = 23.3
This shows the plane is approximately 23.3 times faster compared to the bird. Saying "The plane is at least 20 times faster than the bird" is fairly close to the prior sentence, so the statement is valid. That's why choice B is the answer.
Choices A and C are saying similarly valid statements, just written in different formats. I think choice B is the best answer since it seems to be the most direct comparison that is fairly easy to grasp.
Find the possible Outcome.
Creating a 4-digit PIN code where the digits may repeat
Answer:
1,2,3,4
Step-by-step explanation:
Maria's Starting wage for her new job is $8.50 per hour. Each month during her first year. her hourly wage will increase by $.50. What will her hourly wage be in her 10th month on the job?
What will her wage be on the 12th moth on the job?
How much did her salary increase from starting salary to her ending salary?
Help PLEASEEEEEEEEEE
Answer:
13.50
8.50
.50
.50
.50
+ .50
.50
.50
.50
.50
.50
.50
__________
13.50
it increased 5$
Which measurement is not equivalent to the others?
5,000 mm
5 m
0.5 km
500 cm
Answer:
0.5 km
Step-by-step explanation:
0.5 kilometers is by far the largest measurement here.
HELP ME PLEASEEEEEEEE
The machine that Holley operates tightens 40 bolts every 3 minutes. The bolts are delivered to her machine station in boxes containing 1,000 bolts each. Which equation can be used to determine t, the number of minutes it takes Holley's machine to tighten a box of 1,000 bolts at the same tightening rate?
Answer:
75
Step-by-step explanation:
3 divide by 40= 0.0075
0.0075 times 1000= 75
To increase attendance for a flower show, flower shops in the area offered discount coupons to their customers. Show attendance was higher this year, which the organizers attributed to the many discount coupons attendees used. However, the organizers are warned that weather could be a confounding variable in interpreting the rise in attendance.
Which statement could explain the effect of confounding?
Because the weather was worse last year, fewer coupons were distributed compared to this year.
Because the weather was similar in both years, it most likely played no role in the attendance increase.
Because coupons were handed out this year and not last year, the weather was different this year compared to last year.
Because the weather was generally better this year compared to last year, the attendance may have increased.
Answer:
The statement which could explain the effect of confounding is:
Because the weather was generally better this year compared to last year, the attendance may have increased.
Step-by-step explanation:
A confounding variable has some effect on the dependent variable. Confounding variables are the variable(s) that are additional to the independent and dependent variables in an experiment. Since the presence of confounding variables affect the variables being studied so that the results do not reflect the actual relationship, it is best to exclude or control them through randomization, restriction, and matching.
Answer:
D
Step-by-step explanation:
edge2o2o
