Answer:
$65.00
Step-by-step explanation:
Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
What is Cost price?" Cost price is defined as the price to be paid at the time of purchase any product."
According to the question,
Initial cost price of shirt [tex]= \$100[/tex]
First discount [tex]= 15\%[/tex]
Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]
[tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]
Cost price after first discount [tex]= 100 - 15[/tex]
[tex]= \$85[/tex]
Second discount [tex]= 20\%[/tex]
Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]
[tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]
Cost price after first discount [tex]= 85 - 17[/tex]
[tex]= \$68[/tex]
Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
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A store raises its prices on granola bars by 15%. The original cost of the granola bars is $3.50. What is the new cost of granola bars?
Answer:
$4.02
Step-by-step explanation:
Write -9 9/16 as a decimal
Answer:
-8.4375
Step-by-step explanation:
convert -9 9/16 to a improper fraction.
-9 x 16 = -144
-144+9= -135
-135 divided by 16 = -8.4375
PLSSSSSSSSSSS HELPPPPPPPPPP OMG PLSSSSSSSS HELPPPPPP
Answer:
A
Step-by-step explanation:
You can see they are multiplying x by 3 every time.
Answer:
A) y=3x
Step-by-step explanation:
find the pattern between x and y. if we try using the equation y=3x, plug in the values to check if its correct.
input(x) = 2
output(y)=6
6=3(2)
6=6
An arena charged $119.49 for 4 tickets. This price included a $9.49 service fee What was the cost of one ticket?
Enter your answer in the box.
$
Answer: $27.50
Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.
Marley loves to draw and color. She bought 6 boxes of crayons. There are 8 crayons in each box. What is the total number of crayons Marley bought? What operation did you use to find your answer? Be sure to write your answer in a complete sentence.
Answer:
48 crayons
Step-by-step explanation:
There are 6 boxes total, each with 8 crayons in them. Notice that if you would count all the crayons, you would add 8 to the total number of crayons each time you counted a box. There are 6 boxes, so that would be equivalent to adding 8 a total of six times. You would use multiplication: 6 x 8 which is 48.
Answer:
marley has 48 crayons he bought
step by step equation:
6 times 8 =48
you use multiplication to answer this question
If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm
If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm
ans.C.4cm
For each of the following situations, identify the response variable and the populations to be compared, and give I, the ni, and N.
(a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet. He assigns 35 of his hens to each of the three treatments.
Response variable:
caloric intake
egg cholesterol level
diet cholesterol level
number of hens
number of marketable eggs laid
Populations: (Select all that apply.)
all eggs laid on a farm
hens on an all-vegetarian diet
all hens on a farm
hens on a standard diet and receiving one of two cholesterol-lowering drugs
eggs with different cholesterol levels
I =
n1 =
n2 =
n3 =
N =
(b) A researcher is interested in students' opinions regarding an additional annual fee to support non-income-producing varsity sports. Students were asked to rate their acceptance of this fee on a five-point scale. She received 93 responses, of which 32 were from students who attend varsity football or basketball games only, 18 were from students who also attend other varsity competitions, and 43 who did not attend any varsity games.
Response variable:
varsity sport played
number of students who attend varsity games
number of games attended
acceptance rating on a five-point scale
amount of annual fee paid
Populations: (Select all that apply.)
students who pay an annual fee
students who do not attend any varsity games
students who play sports
students who attend varsity football or basketball games
students who attend other varsity competitions
I =
n1 =
n2 =
n3 =
N =
(c) A professor wants to evaluate the effectiveness of his teaching assistants. In one class period, the 48 students were randomly divided into three equal-sized groups, and each group was taught power calculations from one of the assistants. At the beginning of the next class, each student took a quiz on power calculations, and these scores were compared.
Response variable:
course gradequiz score
rating of the professor on a five-point scale
rating of the assistant on a five-point scale
number of questions on the quiz
Populations: (Select all that apply.)
students in the three TA groups
students passing the course
all students at the school
the three teaching assistants
students who like their TA
I =
n1 =
n2 =
n3 =
N =
Answer:
Kindly check explanation
Step-by-step explanation:
POPULATION :
hens on an all-vegetarian diet
hens on a standard diet and receiving one of two cholesterol-lowering drugs
RESPONSE : cholesterol level
I = 3
n1 = 35
n2 = 35
n3 = 35
N = (35 + 35 + 35) = 105
2.)
RESPONSE :
Acceptance rating on a five-point scale
POPULATION :
Students who attend varsity football or basketball games
students who attend other varsity competitions
Student who do not attend any varsity games
I = 3
n1 = 32
n2 = 18
n3 = 43
N = (32 + 18 + 43) = 93
3.)
RESPONSE :
course gradequiz score
POPULATION :
Students in the three TA group
I = 3
Since, the samples were divided equally into 3, hence we have 48 / 3 16 per group
n1 = 16
n2 = 16
n3 = 16
N = 48
Find the area of the rectangle. 7.4 in. , 4.5 in.
pls help quick it is in the picture
Answer:
90 degrees it looks like
Step-by-step explanation:
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863
Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
[tex]H_0: p = 0.88[/tex]
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
[tex]H_a: p < 0.88[/tex]
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
help what's the answer
Answer:
2nt one
Step-by-step explanation:
Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.
O The slope of one boundary line is 2.
O Both boundary lines are solid.
A solution to the system is (1, 3).
O Both inequalities are shaded below the boundary lines
O The boundary lines intersect.
===========================================================
Explanation:
Let's go through each of the answer choices to see which are true and which are false.
----------------
Choice A
The general slope intercept form is y = mx+b
m = slope and b = y intercept.
For y = 3x+1, the boundary line of the first inequality, the slope is 3.
For y = -x+2, the slope is -1.
None of the slopes are 2.
Choice A is false.
We'll use the concept of slope again in choice E.
----------------
Choice B
The "or equal to" part of the inequality sign is what directly determines the boundary line being solid. This is because we include points on the boundary.
Choice B is true.
----------------
Choice C
Plug x = 1 and y = 3 into the first inequality
[tex]y \le 3x+1\\\\3 \le 3(1)+1\\\\3 \le 3+1\\\\3 \le 4\\\\[/tex]
The last inequality is true, so the first inequality is true when (x,y) = (1,3). This makes (1,3) a solution to [tex]y \le 3x+1\\\\[/tex]
Repeat those steps for the other inequality given to us
[tex]y \ge -x+2\\\\3 \ge -1+2\\\\3 \ge 1\\\\[/tex]
which is also true, so that makes (1,3) also a solution to [tex]y \ge -x+2\\\\[/tex]
The point (1,3) is a solution to both inequalities at the same time, making it a solution to the system overall.
Choice C is true
----------------
Choice D
When y is fully isolated, the "less than" inequality indicates the shading is below the boundary. This is due to us considering points of y coordinates smaller than the boundary line. So we'll shade below the boundary for [tex]y \le 3x+1\\\\[/tex]
We don't do the same for [tex]y \ge -x+2\\\\[/tex]. Instead, we'll shade above the solid boundary line.
Choice D is false.
----------------
Choice E
If two lines have equal slopes, but different y intercepts, then we have parallel lines. Parallel lines never intersect.
If on the other hand, the slopes are different values, then the two lines will intersect somewhere on the xy grid. There will only be exactly one point of intersection.
The given system has boundary lines of slopes 3 and -1, for the first and second inequality respectively. Refer back to choice A. These differing slopes tell us that the boundary lines intersect somewhere.
Choice E is true
Let's go through all the options one at a time and look for the correct ones
Option 1: The slope of one boundary line is 2
We have 2 equations of lines, where the coefficients of are 3 and -1 respectively
because the coefficient of x denotes the slope of a line, we know that the lines have the slope 3 and -1, not 2
Hence, this option is Incorrect
Option 2: Both boundary lines are solid
In order for the boundary lines to be solid, the inequality must have an 'equal to', like ≤ (less than or equal to) or ≥ (greater than or equal to)
we can see that that's the case in our case and hence, this option is Correct
Option 3: A solution to the system is (1, 3)
To confirm this, we'll plug these coordinates into the given inequalities and see if it stands correct
y ≤ 3x + 1
3 ≤ 3(1) + 1
3 ≤ 4 which is correct because 3 is less than 4
Second equation:
y ≥ 2 - x
3 ≥ 2 - 1
3 ≥ 1
Which is also true because 3 is greater than 1
Now, we can say that (1 , 3) is a solution to the system because it satisfies both the equations and is Correct
Option 4: Both inequalities are shaded below the boundary lines
For an inequality to be shaded below the boundary line, it must have the ≤ inequality (in case of solid line) and < inequality (in case of dotted line)
because the second inequality listed includes the ≥ inequality, which was not mentioned above, it won't be shaded below
another way to think about it is that any 'greater than' inequality will shade everything above the line and the 'lesser than' inequality will shade below the line
which means that this option is Incorrect
Option 5: The boundary lines intersect
In order for the boundary lines to intersect, they must have have different slopes.
as we mentioned in the explanation of the first option, that the slopes of the lines is 3 and -1, which are different slopes
Therefore, this option is Correct
Find the area in square inches. <3
Please answer correctly with factual information for brainliest.
Answer:
I would say 54 units (sorry if I'm wrong)
Hyo spent $48.84 for a gold-plated trophy that costs $37 per pound. How much did the trophy weigh?
HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
defintion of Symmetrical Dot Plot
Answer: The most typical symmetric histogram or dot plot has the highest vertical column in the center. This shape is often referred to as being a "normal curve" (or normal distribution). ... Skewed Right (positively skewed) - fewer data plots are found to the right of the graph (toward the larger numeric values).
What is the expanded form of this number?
630.052
(6×100)+(3×1)+(5×1/100)+(2×1/1,000)
(6×100)+(3×1)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/100)+(2×1/1,000)
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Word Form:
630.052 =
six hundred thirty and fifty-two thousandths
Step-by-step explanation:
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Step-by-step explanation:
HELPPPP MEEEEEEE PLZZZZZZ
9. If PQRS is a kite, find RQ. *
17 ft.
23 ft.
30 ft.
12 ft.
Answer:
17 ft
Step-by-step explanation:
The triangle on the bottom left is a right triangle.
a² + b² = c²
(8 ft)² + (15 ft)² = (RQ)²
64 ft² + 225 ft² = (RQ)²
(RQ)² = 289 ft²
RQ = 17 ft
Plz help me well mark brainliest if correct!!
Help plzzzzz hurry
Answer:
-9, -5, -4.1, -4
[tex]\\q\leq -4[/tex]
Step-by-step explanation:
I think what you're missing here is that there is a negative sign in front of the q. This means that whatever number you put in for q will be multiplied by negative 1. Positive numbers will become negative, and negative numbers will become positive.
If you substitute 9 for q you will get [tex]-9\geq 4[/tex], which is clearly not true, because -9 is way less than 4.
For writing the equation you divide both sides by -1. When you do this however, you must flip the inequality sign
[tex]-q\geq 4\\q\leq -4[/tex]
the > sign turned into <, and the q and 4 switched signs.
state of the given functions are inverses. Part 3. NO LINKS!!!!
Answer:
9.
h(x)=-x-1
let y =-x-1
interchanging role of x & y
x=-y-1
y=-x-1
h-¹(x)=-x-1
again
f(x)=(2-3x)/2
let
y=(2-3x)/2
interchanging role of x & y
x=(2-3y)/2
2x-2=-3y
y=(2-2x)/3
f-¹(x)=(2-2x)/3
Given function are not inverse of each other.
10.
f(x)=-x+3
let y=-x+3
interchanging role of x & y
x=-y+3
y=3-x
f-¹(x)=-x+3
equal to g(x)=-x+3
Given function are inverse of each other.
Answer:
Step-by-step explanation:
Call h(x) = y (It's easier to see).
y = -x - 1
The first step is always to interchange x and y
y = -x - 1
-x = y - 1
Solve for y
-x + 1 = y
If I understand the question, these two (f(x) and h(x)) are not inverses.
10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.
y = x + 3
g = x + 3
x = y + 3
x - 3 = y
13. Dave drove 3,720 miles in 62 hours. What was his average speed?
Answer:
60 mph
Step-by-step explanation:
(−10x^2+9)+(8x^2 −5x+7)
Answer:
-2x^2-5x+16
Step-by-step explanation:
Remove parenthesis:
-10x^2+9+8x^2-5x+7
Combine like terms:
-10x^2+8x^2-5x+9+7
= -2x^2-5x+9+7
=-2x^2-5x+16
What is the surface area of the figure below?
f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14
Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
What is the mixed number form of 17/2 simplify the answer if possible hurry
Answer:
8 1/2
Step-by-step explanation:
17 goes into 2 8 times with a remainder of 1
so you get 8 1/2
how to solve this equation
Ms jaegar can type 280 words in 4 minutes on her computer. If this is her average rate, How much word will she type in 10 minutes?
Show your work
Answer:
700 words
Step-by-step explanation:
280: 4
x:10
280/4 = x/10
4times x is equal to 4x and 280 times 10 is equal to 2800
4x=2800
2800 divided by x is 700.
The answer is 700 words per 10 minutes.