Answer:111.94
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
25% = 25/100 = 25 ÷ 100 = 0.25.
100% = 100/100 = 100 ÷ 100 = 1.
New value =
149.25 - Percentage decrease =
149.25 - (25% × 149.25) =
149.25 - 25% × 149.25 =
(1 - 25%) × 149.25 =
(100% - 25%) × 149.25 =
75% × 149.25 =
75 ÷ 100 × 149.25 =
75 × 149.25 ÷ 100 =
11,193.75 ÷ 100 =
111.9375 ≈
111.94
Factor the expression. 63a - 42b
Answer:
21(3a-2b)
Step-by-step explanation:
Answer:
21(3a-2b)
Step-by-step explanation:
63a - 42b
21(3a-2b)
1092 is what percent of 1140
%95.79 because it is
Find the equation for a polynomial f(x) that satisfies the following:
- Degree 5
• Root of multiplicity 2 at x = 3
- Root of multiplicity 1 at x = 1
• Root of multiplicity 2 at x = 3
- y-intercept of (0, -162)
Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²
Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)
Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²
Finally we get this expression : (x-3)²(x+3)²(x-1)
This expression is a polynomial of degree 5 but what is the y intercept of it ?
Basically, we need to replace x by zero and the value of the expression will be the y intercept :
let x = 0
then ,
(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162
We need an y intercept of value = -162
Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)
satisfies all the required condition
Good Luck
Help help help math math math math
Answer:
x = 15
Explanation:
First, add both equations on one side, and set it equal to 180° because it's supplementary:
2x + 8 + 8x + 22 = 180
combine like terms:
10x + 30 = 180
subtract 30 on both sides of the equation and you end up with:
10x = 150
divide both sides by 10 and you get:
x = 15
Answer:
x=5
Step-by-step explanation:
5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.
Answer:
20 inches
Step-by-step explanation:
If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.
[tex]y=\frac{2}{5}x[/tex]
The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.
You start at (5, 0). You move left 1 unit and up 1 unit. Where do you end?
Answer:
(4; 1)Step-by-step explanation:
Look at the picture.
(x, y)
left 1 unit: (5 - 1 = 4)
up 1 unit: (0 + 1 = 1)
.872 to scientific notation
Answer:
8.72×10²
Step-by-step explanation:
8.72×10²=8725. Find the value of x.
17x – 18
7x
if 17x-18=7x
then 17x-7x=18
10x=18
x=1.8
Laurie wants to join the basketball team. Her parents ask her to figure out how much it will cost. Laurie knows that she has to pay an activities fee of $42 plus a fixed amount for each tournament. Write a formula that describes how much it will cost to join the team. Let's let:
c=cost for each tournament
n=number of tournaments the team plays
t=total amount to join the team
The Formula:
t = cn + 42
Hello help please please I need help help help
Answer:
45
Step-by-step explanation:
They are both the same length-
Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)
Answer: Directix= -1
Focus (11, 2)
Step-by-step explanation:
Which of the following is a correct interpretation of the expression 3+(-7)
Thanks
[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]
Step-by-step explanation:
The correct interpretation of 3+(-7) is 3-7, simply
Answer:
The answer will be
3+(-7)
The sum of positive and negative is negative
So 3+(-7) is 3-7
= -4
Step-by-step explanation:
Hope it helps
Please Mark as brainliest
The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the selling price, as shown in the table. The flutists' goal is to raise 18% of the total amount needed. The trumpeters' goal is 85% of the flutists' goal. If both of these groups meet their goals, which group raised more money? What was the difference in the amounts the students raised?
The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpetersThe difference in the amounts the student raised is $256.5Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5
Learn more about percentages here:
https://brainly.com/question/1367867
A+b/a-b =5/3 what are the following ratios? a+b/3b
pls can u help me with this question
Answer:
yes less than a min
Step-by-step explanation:
QUESTION 7
Find the slope of the line passing through the points (8, 3) and (9,7).
A. 4
B. -4
C. 1/4
D. -1/4
I got the X and Y wrong, its 4. Sorry! mark the other answer instead
Reason:
9 - 8 = 1
7 - 3 = 4
Because that 7 and 3 are Y, 4 goes over. so it makes a whole number
Answer:
A. 4
Step-by-step explanation:
yeah-ya............. right?
A $300 bike is marked down to $175. Find the percent markdown to the nearest whole percent.
Answer:
58
Step-by-step explanation:
58 because you divide 200 by 100 then getting that answer (3) then divide 175 by 3 which equals one percent and you get 58.333 you round it to the nearest whole and u get 58
Which of the following expressions is equivalent to log 5 - k log 2?
Select one answer
Answer:
C
Step-by-step explanation:
log5- klog2= log5-log2^k = log(5/2^k)
You have a box with 4 green marbles, 7 blue marbles, and 2 red marbles. What is the probability of picking a green marble?
Answer:
Step-by-step explanation:
If the picking is random, there are 4 chances out of a possible 13 options.
4/13
i need help for my bro
If answer is correct you will be marked as brainliest
What is the discriminant of the polynomial below?
4x^2+4x+1
A. 32
B. -12
C. -4
D. 0
Answer:
Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]
[tex]16 - 4 \times 4 \times 1 = 0[/tex]
Bob paid $54 for shoes if they were on sale for 10% off what was the original price
Find the common factors of the algebraic expression:- 7a²b, 14abc
please help me please it's important
factor of 7a²b, 14abc
7a²b, 14abc= 7ab
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes resulted in hospitalization of the drivers (based on data from the highway Loss Data Institute). Using a 0.01 significance level, you need to test the claim that the air-bag hospitalization rate is lower than the 7.8% rate for crashes of mid-size cars equipped with automatic safety belts. What conclusion should you make
Answer:
P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584
0.00885... < 0.01
The test statistic of 46 is significant
There is sufficient evidence to reject H₀ and accept H₁
Air bags are more effective as protection than safety belts
Step-by-step explanation:
821 crashes
46 hospitalisations where car has air bags
7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts
α = 0.01 or 1% ← level of significance
One-tailed test
We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;
The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;
So we are testing if hospitalisations in cars with air bags is less than 0.078;
So, firstly:
Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags
X~B(821, 0.078)
Null hypothesis (H₀): p = 0.078
Alternative hypothesis (H₁): p < 0.078
According to the information, we reject H₀ if:
P(X ≤ 46 | X~B(821, 0.078)) < 0.01
To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;
If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:
[tex]P(X = r) = nCr * p^{r} * (1 - p)^{n - r}[/tex]
You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:
P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584
Now, we need to consider if the condition for rejecting H₀ is met and recognise that:
0.00885... < 0.01
There is sufficient evidence to reject H₀ and accept H₁.
To explain what this means:
The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;
In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.
can you find the error?
Both step 1 and step 2 were correct with the process of moving the value of x into the place of x and continuing to solve. However, step 3 is incorrect because when it is a negative value being subtracted by another negative value, it remains a negative. So the answer is -14 instead of 14.
Answer:
-32 - 8 = -40
Step-by-step explanation: basicly for 1 instead of putting 3 and 2 together he multiplyed then minus 8
then for 2 he did -6 and -8
then: 14............
The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball championship this year. They were so evenly matched that the game lasted 11 innings! The Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Answer:
11/3 = 3 2/3 innings
Step-by-step explanation:
3 pitchers = 11 innings
1 pitcher = x innings
in the first equation, divide both sides by 3 to get 1 pitcher on one side
1 pitcher = 11/3 innings = 3 2/3 innings
If:
7158=2
4923=1
5806=4
Find:
9472=?
3148=?
8195=?
8096=?
Answer:
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Class 11
>>Maths
>>Sets
>>Complement of Sets
>>If U = {1,2,3,4,5,6, 7, 8, 9 }, A = {2,
Question
Bookmark
If U={1,2,3,4,5,6,7,8,9},A={2,4,6,8} and B={2,3,5,7}. Verify that
(i) (A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
=A
′
∪B
′
Medium
Solution
verified
Verified by Toppr
U={1,2,3,4,5,6,7,8,9}
A={2,4,6,8}
B={2,3,5,7}
(i) (A∪B)
′
={2,3,4,5,6,7,8}
′
={1,9}
A
′
∩B
′
={1,3,5,7,9}∩{1,4,6,8,9}={1,9}
∴(A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
={2}
′
={1,3,4,5,6,7,8,9}
A
′
∪B
′
={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}
∴(A∩B)
′
=A
′
∪B
Solve the equation for d. 0.2(d-6)=0.3d+5-3+0.1d
Answer:
Step-by-step explanation:
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
0.2d - 1.2 = 0.4d + 2
- 0.2d = 3.2
d = - 16
Answer:
d = -16
Step-by-step explanation:
[tex]0.2(d-6)=0.3d+5-3+0.1d\\\rule{150}{0.5}\\0.2d - 1.2 = 0.3d+5-3+0.1d\\\\0.2d - 1.2 = 0.3d+0.1d+ 5-3\\\\0.2d - 1.2=0.4d + 2\\\\0.2d- 0.2d - 1.2 = 0.4d -0.2d + 2\\\\-1.2 = 0.2d + 2\\\\-1.2 -2 = 0.2d + 2 - 2\\\\-3.2 = 0.2d\\\\\frac{-3.2 = 0.2d}{0.2}\\\\-16 = d\\\\\boxed{d = -16}[/tex]
The mean hourly wage for employees in goods-producing industries was $24.57, April 12, 2012 (Bureau of Labor Statistics). Suppose a sample of 30 employees from the manufacturing industry is taken, in April 2012, to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
b. Suppose a sample of 30 employees from the manufacturing industry showed a sam- ple mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
c. With a = .05 as the level of significance, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Step-by-step explanation:
a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:
Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries
Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
b.
Because we know the population standard deviation, we can use a z test
Plugging in the values:
Expected population mean: 24.57
Sample average: 23.89
Sample size: 30
Population standard deviation: 2.4, we get 0.1207 as our p-value.
c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)
d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis
What is the equation for the line in slope-intercept form? 20 18+ Enter your answer in the box. 16+ 14+ 112+ NO+ 6 4 2 - 20-18 -16-14-12-10 -9 -6 -4 4 6 8 -20 -27 10 12 14 16 18 20 -4- -B -8 -10 -12+ -14H -16+ -18+ -20+
The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The line passes through the point (1, 8) and (2, 16), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]
The equation of the line is given by y =8x
Find out more about linear equation at: https://brainly.com/question/14323743
Find out more on linear equation at: https://brainly.com/question/14323743