From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
From the given number line, we have inequality as {x|x≤4.5}
Therefore, option B is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
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What connects a coefficient and a constant
Answer:
The variable
Step-by-step explanation:
Find the missing segment
can i get some help solving this
Answer:
A =147 cm^2
Step-by-step explanation:
A = pi r^2
The radius is 7 and let pi = 3
A = 3*7^2
A = 3*49
A =147
Convertir 675 Faren a Kelvin (Con ecuaciones porfavor)
Answer:
(675°F − 32) × 5/9 + 273.15 = 630.372K
Hope it's right if not so sorry :)
eexpres -25/60 as a rational number whose denominator is -12
A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *
Answer: 1 month = 500ml
4 month = 500ml × 4 = 2000ml = 2L
you should use the 2L container
Step-by-step explanation:
The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP
Answer:
6 1/10
Step-by-step explanation:
Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):
9 2/5 = 47/5
3 3/10 = 33/10
Convert improper fractions to have the same denominator:
47/5 × 2/2 = 94/10
Find the difference by subtracting the numerators:
94/10 - 33/10 = 61/10
Convert the answer into a mixed number:
61/10 = 6 1/10
Find the measure of a.
Answer:
a is 44 degree
Step-by-step explanation:
factories 2x^3+ 7x^2+ 7x +2 emergency pls
hope it helps you...............
Answer:
the answer is (x+1)(x+2)(2x+1)
HELP QUICK
Question 1 (1 point)
A wave travels at 3 000 m/s. If its wavelength is 6.0 m, what is its period?
Answer:
0.002 seconds
Step-by-step explanation:
Wave period = Wavelength/Velocity
Period = 6/3,000
Period = 0.002 seconds
b) The price of a radio is marked as Rs 7,500. If the shopkeeper allows 20 % discount and adds 13 % VAT, how much will a customer pay for the radio?
Answer:
the customer should pay Rs.6780 including VAT.
Step-by-step explanation:
here,
Marked price(MP)=7500
Discount(D)=20%
VAT=13%
now,
selling price(SP)=MP-D%of MP
=7500-20×7500/100
= 7500-1500
= Rs 6000
again,
SP with VAT = SP +VAT of SP
= 6000+13×6000/100
=6000+780
=Rs.6780
hence,
the customer should pay Rs. 6780 including VAT.
A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate. A 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is:
Answer:
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
Step-by-step explanation:
Before building the confidence interval, the central limit theorem and subtraction of normal variables is explained.
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]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Northern half:
1062 out of 2000, so:
[tex]p_N = \frac{1062}{2000} = 0.531[/tex]
[tex]s_N = \sqrt{\frac{0.531*0.469}{2000}} = 0.0112[/tex]
Southern half:
900 out of 2000, so:
[tex]p_S = \frac{900}{2000} = 0.45[/tex]
[tex]s_S = \sqrt{\frac{0.45*0.55}{2000}} = 0.0111[/tex]
Distribution of the difference:
[tex]p = p_N - p_S = 0.531 - 0.45 = 0.081[/tex]
[tex]s = \sqrt{s_N^2 + s_S^2} = \sqrt{0.0112^2 + 0.0111^2} = 0.0158[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.081 - 1.96*0.0158 = 0.05[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.081 + 1.96*0.0158 = 0.112[/tex]
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
Daniel buys a new car.
In the first year, the value of the car decreases by 12% of its original value.
The value of the car at the end of the first year is £9680.
(a) Work out the original value of the car.
The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
Value of the car at the end of the first year = £9680
Depreciation = 12 %
Original price = £ x
If we reduce 12% of original price from x, we will get £9680
x - 12% of x = £ 9680
[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]
Original price = £ 11000
Which numbers are integers? Check all that apply.
4
Negative 1 and one-third
-10
2.5
-4
0.ModifyingAbove 13 with Bar
Answer:
4,-10.-4
Step-by-step explanation:
intergers are whole numbers
Answer:
4
-10
-4
Step-by-step explanation:
got it right on edge
What is x² − 4x + 7 factored?
Answer:
The expression is not factorable with rational numbers.
x² − 4x + 7
Use the function to answer questions #5-7.
please help with both
Answer:
2lnf .÷f35%vbbcy^hjv6bs8nc
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
Determine the period.
Answer:
2
Step-by-step explanation:
Basically, the period of a sinusoidal graph is the distance between one cycle to another. As can be visually seen, this is 2.
Answer:
2
Step-by-step explanation:
its right on Acellus
Find the total surface area.
Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²
Answer:
D. 638 in^2
Step-by-step explanation:
total surface area is just the sum of areas of each side of the cube
opposite sides have the same area
top and bottom = 9*11
sides = 11*9
front and back = 11*11
SA = 2(9*11 + 11*9 + 11*11)
SA = 2(99 + 99 + 121)
SA = 2(319)
SA = 638 in^2
Someone help me with this question please it would help me a lot !!!
Answer:
x intercept ( -40,0)
y intercept ( 0,15)
Step-by-step explanation:
The x intercept is where it crosses the x axis. The y value is zero
(-40,0)
The y intercept is where it crosses the y axis. The x value is zero
(0,15)
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
Can someone please help me out Its really Important please marking brainliest
Answer:
Q1. Volume of the prism
= 75(20)(14) cm3
=21000 cm3
Volume of the cylinder
= π(75^2)(120)cm3
=2120575cm3 (cor. to nearest int.)
The cylindrical bale has a greater volume.
Q3a. Volume of the pyramid
=(1/3)(40)(64)(64)m3
=54613 m3 (cor. to nearest int.)
Q3b. Volume of air per person
=(1/3)(40)(64)(64)(1/5000) m3
=10.9 m3 (cor to 3 sig fig)
In order to make a profit, a retailer will mark up the cost of an item. If the cost of the item is $42 but it is sold for
$89, what is the mark up rate for the item?
Round your answer to the whole percent.
HELP ASAP ILL GIVE BRAINLIST
t/f Elimination will give you an exact answer to a system of equations.
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
Answer:
TRUE Elimination will give you an exact answer to a system of equations.
FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.
Câu 1: Cho tam giác MNP cân tại P thì:
A. MN = MP B. PM = NP C. PN = PN D. Không có cạnh nào bằng nhau.
Answer:
B. PM = NP
Step-by-step explanation:
Bài 2: Cho ∆ABC có AB AC = , M là trung điểm của BC . Trên tia đối của tia MA lấy điểm D sao cho MA = MD .
a) Chứng minh : ∆ ABM =∆ DCM .
b) AB // DC
c) AM ⊥ MC
d) Tìm điều kiện ∆ABC để góc ADC =30 °
(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
Someone, please help
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?
72 - 45 = 27
Samantha took 27 coins. She took 3 dimes, 2 nickels and all but 1 penny, so 7 pennies. This is 12 coins. The rest must be quarters. 27 - 12 = 15 quarters.
15 x 0.25 = 5.25
The value of the quarters that Samantha took is $3.75.
Hope this helps!
three forth of a number excceed its one third by 15, find the number
The required value of x is 36
Step-by-step explanation :
Let the required number be x.
Three fourth of number = (3/4)x
One third of number = (1/3) x
According to the question ;
3x/4 = x/3 + 15
→ 3x/4-x/3 = 15
→ 9x - 4x / 12 = 15
→ 5x = 15 x 12
⇒ x = 180 / 5
⇒ x = 36
Hope this answer helps you..!!!Consider the formula for the slope between two coordinate points, m, shown below.
Answer:
D
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m(x2-x1)= y2-y1
y2= m(x2-x1) + y1