Answer =
= (4x - 5)²
= 16x² - 40x + 25
1. There are 4 quarts in 1 gallon. How many quarts are in 4 ½ gallons?
Answer:
18 quarts
Step-by-step explanation:
The weekly sales at two movie theaters were recorded for a random sample of 25 weeks. A 95 percent confidence interval for the difference in mean weekly sales for the two movie theaters was calculated as ($1,288,$2,586). With all else remaining constant, which of the following would have resulted in a confidence interval narrower than the calculated interval? A sample size less than 25 A sample size less than 25 A A sample size greater than 25 A sample size greater than 25 B An increase to 99 percent confidence An increase to 99 percent confidence C A sample mean greater than $1,937 A sample mean greater than $1,937 D A sample mean less than $1,937
Answer:
A sample size greater than 25
Step-by-step explanation:
Margin of error of a confidence interval:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level(higher confidence level means higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The higher the margin of error, the wider the interval is.
To have a narrower interval:
For a narrower interval, the margin of error has to be diminished. This can be achieved reducing the confidence level, or increasing the sample size.
In this question:
There are no options that say reducing the confidence level, so we should increase the sample size, that is, a sample size greater than 25.
PLEASE HELP!!!
Everyone at Greg's school wore either blue or orange for school spirit day. Of the 100 students at the school, 80% wore blue. How many students wore blue?
Answer:80 students
Step-by-step explanation:
80% of 100 is 80. :)
diagram this statement.Then answer the questions that follow.
Joseph gave three fourths of his 288 sports cards to his brother.
A) what percent of his sports cards did his Joseph give to his brother?
B)How manny sports cards did Joseph have left?
4x - 3y =24
Find the x and y intercept then use them to graph the line
Answer:
y=21-7x
-7 is your slope
21 is your y-intercept
Step-by-step explanation:
you send the 4x the other side and you send the other side opposite so it going to be -4x
-3y= 24-4x
than you divide -3 on 24 and -4x
c) The phone case you want to buy is marked down 30%, and you have a 25% off coupon.
You pay $42.00. Can this equation be used to find the original price of the phone case? If so,
what is the original price of the item? Explain. (5 points)
(0.7c) = 42
Answer:
Step-by-step explanation:
Remark
The problem with this question is that you don't exactly know what the 25% does.
I think the way to do the problem is to consider where the 42 dollars comes from.
I think the beginning part of the problem is to develop an equation which you may not be able to solve.
So the cost using the 30% reduction is 0.7c where c is the original cost. But the 25% makes the actual cost for the person = 0.7c - 25% of 0.7c
The result is 42 dollars.
0.7c - 0.25*0.7c = 42
If I'm right, that can be solved.
0.7c - 0.175c = 42
0.525c = 42
c = 42/0.525
c = 80 dollars.
So before all the reductions and everything else, the case actually cost 80 dollars.
Need help with the last part I know I need to do 55x+60 = ? But I don’t know what ? Is
Answer:
- Discount car rentals charges less daily
- After 3 days
Step-by-step explanation:
Required
Which charges less per day
When is the total cost the same
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (2,185)[/tex]
[tex](x_2,y_2) = (6,345)[/tex]
So, we have:
[tex]m = \frac{345 - 185}{6 - 2}[/tex]
[tex]m = \frac{160}{4}[/tex]
[tex]m = 40[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 40(x - 2) + 185[/tex]
[tex]y = 40x - 80 + 185[/tex]
[tex]y = 40x + 105[/tex]
So, the equation of the table (i.e. Discount Car rental) is: [tex]y = 40x + 105[/tex]
While the equation of Pay Less is: [tex]y = 55x + 60[/tex]
The company that charges less per day has the smaller slope and that is: Discount car rental because the slope (40) is less than the slope (55)
For the total cost to be the same, we simply equate both expressions:
i.e.
[tex]y = y[/tex]
[tex]55x + 60 = 40x + 105[/tex]
[tex]55x - 40x = - 60 + 105[/tex]
[tex]15x =45[/tex]
[tex]x = 3[/tex]
PLS HELP ME U DONT HAVE TO SHOW UR WORK
-9...................
What is the product of ( 8 – j10 ) and ( 6 + j4) in rectangular form?
a) 48 – j 60
b) 88 – j 28
c) 38 + j 28
d) 48 + j 60
Answer:
b
Step-by-step explanation:
Given
(8 - j10)(6 + j4) ← expand factors using FOIL
= 48 + j32 - j60 - j²40 [ j² = - 1 ]
= 48 - j28 + 40
= 88 - j28 → b
how to figure the surface area 4yd 4yd 1yd they say the answer is 48yd2. how do they get this answer
Answer:
area of top and bottom (total of 2) = 4x4x2 = 32 yd^2
area of 4 sides = 4x1x4 =16 yd^2
32+16 = 48 yd^2
if a board 8ft is cut into three equal pieces how long are they
can you help me solve this plz?
Answer:
x=5.6 y=4.8
Step-by-step explanation:
Reggie Jackson, one of the great baseball batters of modern times, was called Mr. October by his fans because he seemed to excel in the World Series. During the regular season, Reggie had 2584 hits in 9864 official at bats for a batting average (proportion of hits) of 0.262. During League Championship Series, he had 37 hits in 163 official at bats for a 0.227 batting average. During World Series play, he had 35 hits in 98 official at bats for a batting average of 0.357. Do you think the nickname is justified, based on the data
Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
bantuin dong jawap no 1
hari ini mahu di kumpul
Answer:
gfdebebbebebdbrbvrbrbbrbrbfvvfvf
solve the system of equations 5x+3y=5 5x+7y=25
Answer:
(-2,5)
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzz
Answer:
your best bet is 16.168.
id-k how to round it to the nearest tenth
Step-by-step explanation:
Find the value of (1.7)²
2.89
Hope you got your answer.
Any help finding the 0th term of this geometric sequence?
Answer:
25,50,100 is the geometric sequence ?
If each quadrilateral below is a rectangle, find the missing measures, will mark brainliest
Answer:
m<JMK=54°
m<JKH=63°
m<HLK=90°
m<HJL=27°
m<LHK=63°
m<JLK=27°
Step-by-step explanation:
m<JMK=54°
m<JKH=63°
m<HLK=90°
m<HJL=27°
m<LHK=63°
m<JLK=27°
Thor made 45 gallons of of punch. The recipe he followed called for 7/9 of the punch to be orange juice. How many gallons of orange juice did Thor use to make the punch
============================================================
Work Shown:
x = orange juice amount
x = (7/9)*(total amount of juice)
x = (7/9)*45
x = (7/9)*(45/1)
x = (7*45)/(9*1)
x = 315/9
x = 35 gallons of orange juice
-------------------------
Another way to approach the problem:
Draw a rectangle and split it into 9 equal slips. If the whole rectangle's area is 45 square units, then each little skinny rectangle is 45/9 = 5 square units.
Shade in exactly 7 of these little rectangular slips. The shaded portion represents 7*5 = 35 square units, which corresponds to the answer of 35 gallons.
What is the product of 5/10 x 4/5 in lower terms (simplified)?*
A.20/5
B.2/5
C.9/15
D.10/25
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
We have two fractions being multiplied and are being asked to simplify it.
When you multiply two fractions, you always multiply across :
[tex]\frac{5}{10}*\frac{4}{5} = \frac{5*4}{10*5}[/tex]
[tex]\frac{20}{50}[/tex]
Since both the numerator and denominator end in 0, we can simplify this by cutting out the zeroes.
Leaving us with B. 2/5
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Your answer:
Answer:
B
Step-by-step explanation:
what fraction is next in pattern 1/8, 1/4, 3/8, 1/2 ?
Answer: 5/8
Step-by-step explanation:
What is the equation of the line
Answer:
y=-7
Step-by-step explanation:
PLS HELP!
Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?
Answer:
5.81%
Step-by-step explanation:
Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade? What is the ratio of liters of pineapple juice to liters of punch ?
Answer:
For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.
The ratio of liters of pineapple juice to liters of punch is 8:13
Step-by-step explanation:
13 - 8 = 5
5 divided by 5 is 1
8 divided by 5 is 1.6
Pls help with question 4
Answer:
C.)
Step-by-step explanation:
1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
Write the exponent for 3 x 3 x 3 x 3 x 3 (shift 6 to make the ^ sign). *
Answer:
3^5Step-by-step explanation:
The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.
How can I solve
2y=4-3y
Add 3y to both sides then divide both sides by 5.
[tex]2y=4-3y\implies 5y=4\implies y=\frac{4}{5}[/tex]
Hope this helps.
Answer:
y = 0.8
Step-by-step explanation:
You must rewrite the equation so that the y variables are all on one side of the =, and the numbers are on the other. To do this, you must add 3y to 2y (because it is originally -3y, and you have to do the opposite, meaning you add rather than subtract):
5y = 4
Next, to remove 5 from the equation, since 5y means they are multiplied together, you must do the opposite, so divide each side by 5:
5y ÷ 5 = y
4 ÷ 5 = 0.8
Therefore, y = 0.8