Answer:
Step-by-step explanation:
X-intercepts are: (-10,-5,0,5,10)
Y-intercepts are: (-32,-24,-16,-8,0)
Solve for × and write answer in interval notation.
[tex] \frac{1}{x + 1} \geqslant \frac{3}{x - 2} [/tex]
Answer:
( -∞, -2.5] ∪ (-1, 2)
Step-by-step explanation:
1/(x + 1) ≥ 3/(x - 2)
x - 2 ≥ 3(x + 1)
x - 2 ≥ 3x + 3
x - 3x ≥ 3 + 2
-2x ≥ 5
x ≤ -2.5
Interval notation:
( -∞, -2.5] ∪ (-1, 2)
help me dont put links while answering question
Answer:
It's A, 3.82
Step-by-step explanation:
the decimal table goes up to left
Find the value of x.
Answer:
x = 63
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 62 + 55 = 180
x + 117 = 180
x = 180 - 117
x = 63
A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?
a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15
4x-3=9 what does x equal show work
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
I need help over here
Answer:
The area consists of 3 semi-circles and a square
A) A = 3*1/2πr² + a²
A = 3/2*3.14*(10/2)² + 10² = 217.75 m²B)
A = 3/2*22/7*5² + 10² = 217.85 m²C)
217.75*8 = $174215
12
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[Not drawn to scale)
What is the area of the reduced rectangle?
Solve the following:
NO BOTS OR PEOPLE WANTING POINTS
Answer:
8
Step-by-step explanation:
PEMDAS
so answer all exponets
100-(100+64)/8
100-164/8
-64/8
answer= -8
Pls help I need a good grade
Answer:
If it is number 5. the answer is 13
Step-by-step explanation:
take the largest number and subtract the smallest number.
Answer:
13
Step-by-step explanation:
highest number is 60
lowest number is 47
60-47=13
Individual taxi fares in Metro City are normally distributed with a population mean equals to $10 and a population standard deviation of $4. Assume drawing from an infinite population, a random sample of 64 fares is obtained. Based on these information, what is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10
Answer:
0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.
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 estabilishes 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.
Mean equals to $10 and a population standard deviation of $4
This means that [tex]\mu = 10, \sigma = 4[/tex]
Sample of 64
This means that [tex]n = 8, s = \frac{4}{\sqrt{64}} = 0.5[/tex]
What is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10?
This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 9.5.
X = 10
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 10}{0.5}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 9.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.5 - 10}{0.5}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.5 - 0.1587 = 0.3413
0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
A television at Walmart cost $1,538 and $1,923 at Target. With taxes, what would you actually pay at each store. Walmart sales tax is 7% and Target’s sale tax is 9%.
Answer:
walmart:1645.66 target:2096.07
Step-by-step explanation:
walmart:1538/100 × 107= 1645.66
target:1923/100 × 109= 2096.07
i think this is the ans but im not very sure
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
1. Of the 100 fourth-grade students at Patterson Elementary, 57 are girls. What portion of the fourth-grade class at Patterson elementary is female? Express your answer as a decimal.
Answer:
girls 57/100 57% 0.57
Step-by-step explanation:
boys 43/100 43% 0.43
all the ways
The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.
We have to find out the portion of girls in the fourth grade class and express it to decimal.
What is the decimal fractions ?
Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.
As per the question ;
57 are girls out of total 100 students in a class at a school.
The number of boys will be ;
= 100 - 57 = 43
The no. of girls in fraction form will be ;
= 57 / 100
and in the decimal form it will be ;
= 0.057
The no. of boys in decimal form will be ;
= 47 / 100
= 0.047
Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
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What is 0.73 as a percent?
Answer:
73%
Step-by-step explanation:
Answer:
73 percent
Step-by-step explanation:
Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent
HELP PLEASEE no links hellpp
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B and E
Step-by-step explanation:
perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles
0.782 ___ 0.784
I Need HElP NOW!
Answer:
0.783, just look at the pattern.
If you're comparing, this is the answer:
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The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?
Answer:
V≈33238.05
Step-by-step explanation:
The circumference of the cylinder base is
= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.
That is ( 2 )(pi)( r ) = ( 44 )cm or
( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.
I have approximated ( pi ) as ( 3.14 ) for this calculation.
The area of the cylindrical base is ( pi )*( radius )^2
Therefore area of the base
= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.
Volume of Cylinder
Volume = Atea of the base multiplied by cylinder height or
= ( 154.1415 ) * ( 7 )
= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.
Lateral Surface Area
The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.
= ( 44 )*( 7 ) = ( 308 ) cm squared
Inherent Assumption
It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.
Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Ed has 4 cards.
There is a number on each card.
12
6
15
?
The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.
Answer:
7
Step-by-step explanation:
Let's call the missing card number "x".
The mean is the sum divided by the number of elements, so we know that:
[tex]\frac{12 + 6 + 15 + x}{4} = 10\\~\\12 + 6 + 15 + x = 40\\33 + x = 40\\x = 7[/tex]
The number on the 4th card is 7 according to the given question when The mean of the 4 numbers on Ed's cards is 10
To work out the number on the 4th card, we can use the information given about the mean of the four numbers.
Mean is calculated by summing all the values and then dividing by the number of values. In this case, the mean is 10 and there are four numbers.
Given:
Mean = 10
Number of cards = 4
To find the sum of the four numbers, we multiply the mean by the number of cards:
Sum of the four numbers = Mean * Number of cards
Sum of the four numbers = 10 * 4
Sum of the four numbers = 40
Now, let's find the number on the 4th card. We subtract the sum of the three known numbers from the sum of the four numbers:
Number on the 4th card = Sum of the four numbers - Sum of the three known numbers
Number on the 4th card = 40 - (12 + 6 + 15)
Number on the 4th card = 40 - 33
Number on the 4th card = 7
Therefore, the number on the 4th card is 7.
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Full question
Ed has 4 cards.
There is a number on each card.
12
6
15
?
The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.
( No graph Needed)
paul wanted .6 of a candy bar. He cut it into 10 equal piees. how many pieces did he take to get .6 of the candy bar
Answer:
6 pieces.
Step-by-step explanation:
A candy bar is a value of 1.
1/10 = 0.1
0.6/0.1 = 6
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9
The circumference of a circle is 119.32 in what is the diameter of the circle?
Answer:
38
Step-by-step explanation:
119.32/3.14 since 3.14 is pi and c=pi*d
Answer:
d≈37.98
Step-by-step explanation:
C=2πr
d=2r
Solving for d
d=C
π=119.32
π≈37.98074
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
A 20 ft. beam leans against a wall. The beam
reaches the wall 13.9 ft. above the ground.
What is the measure of the angle formed by the
beam and the ground?
Answer:
a 44°
Step-by-step explanation:
Think of the right triangle formed by the beam, the ground, and the wall.
The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin A = 13.9/20
sin A = 0.695
A = sin^-1 0.695
A = 44°
A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.
Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?
Answer:
1.) t - distribution
2.) H0 : μ = 60000 ; H1 : μ > 60000
3.) P < α (Reject Null) ; P > α (fail to reject Null)
4.) Reject H0
Type 1 error
Step-by-step explanation:
Null hypothesis, H0 : μ = 60000
Alternative hypothesis, H1 : μ > 60000
Decison rule at 5% significance ;
P < α (Reject Null)
P > α (fail to reject Null)
Xbar = 72000 ; std = 9000
Test statistic :
(Xbar - μ) ÷ (std / sqrt(n))
(72000 - 60000) ÷ (9000 / sqrt(25))
12000 ÷ 1800
Test statistic = 6.667
Using the Pvalue calculator from test statistic :
Test statistic = 6.667 ; df = 24 - 1 = 24
Pvalue = 0.00001
Pvalue < α ; Hence, we reject the Null
Type 2 error : This means accepting a Null hypothesis that should be rejected.
.
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find , the number of regular fares paid, and , the number of reduced fares paid?
Answer:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of regular fares paid.
y is the number of reduced fares paid.
1,042 total fares were paid
This means that [tex]x + y = 1042[/tex]
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.
This means that:
[tex]1.5x + 0.75y = 1140[/tex]
System of equations:
The system of equations is:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
Find the conjugate and product of the following surds
1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy
Answer:
(1) Conjugate = -i8
(2) Conjugate = -i3+9
(3) Conjugate = i2+1
(4) Conjugate = -3-iy
Step-by-step explanation:
From the question,
Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.
The conjugate of a surd is obtained by changing the sign of the surd in the expression.
Given
(1) i3+i5 = i8
Conjugate is -i8
(2) i3+9
Conjugate is -i3+9
(3) -i2+1
Conjugate is i2+1
(4) -3+iy
Conjugate is -3-iy