Answer:
The percentage decrease is 25%.
Step-by-step explanation:
The difference in price is $2:
$8 - $6 = $2
Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:
2/8 * 100.
This equals 200/800 which is 25%.
The sum of three consecutive even numbers is 312. What is the value of the
smallest number?
Answer: 102
Step-by-step explanation:
Let the numbers be a, a+2 and a+4. Since the sum of three consecutive even numbers is 312, this will be:
a + a+2 + a+4 = 312
3a + 6 = 312
3a = 312 - 6
3a = 306
a= 306/3
a = 102
Therefore, the smallest number is 102.
Other numbers are 104 and 106.
Construct the requested confidence interval. A meteorologist was interested in the average speed of a thunderstorm in his area. He sampled 13 thunderstorms and found that the average speed at which they traveled across the area was 15 miles per hour with a sample standard deviation of 1.7 miles per hour. Assuming the speed of a thunderstorm is approximately normal, construct a 99% confidence interval for the true average speed of a thunderstorm in his area.
Answer:
The 99% confidence interval for the true average speed of a thunderstorm in his area is between 13.56 miles per hour and 16.44 miles per hour.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 13 - 1 = 12
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.0545
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.0545\frac{1.7}{\sqrt{13}} = 1.44[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.44 = 13.56 miles per hour
The upper end of the interval is the sample mean added to M. So it is 15 + 1.44 = 16.44 miles per hour.
The 99% confidence interval for the true average speed of a thunderstorm in his area is between 13.56 miles per hour and 16.44 miles per hour.
Please help solve the equation using cos(no links)
Answer:
cos 52 = 11/alpha ---> alpha = 11/cos52 = 17.9
please help me with this
Answer:
.38 or 38%
Step-by-step explanation:
I divided 44 by 116 then rounded
Answer: 38% of boys play an instrument.
Step-by-step explanation:
They are asking for the percentage of boys that play an instrument.
44 ÷ 116 = 0.379310...
Round to the nearest hundredth
0.38
Find the percentage
0.38 × 100 = 38 or 38%
A book publisher find production cost associated 30 and fixed cost 25000 if each book is sold for 50 find cost function and profit function
The cost function is a function that describes the total cost of producing x number of books. The fixed cost of 25000 is a constant cost that does not depend on the number of books produced, so it is not included in the cost function. The cost function is therefore:
Cost function: C(x) = 30x
The profit function is a function that describes the profit made from selling x number of books. The profit is equal to the revenue from selling the books minus the cost of producing the books. The revenue from selling x number of books at a price of 50 each is 50x, so the profit function is:
Profit function: P(x) = 50x - 30x = 20x
This profit function tells you that for every book you sell, you will make a profit of 20.
44x46 ayuda plssss speak spanish plssssss
Answer:2024
Step-by-step explanation: 44x46
Select all the values of r that make the inequality r>4.6 true.
A. 4.60
B. 5.05
C. 3.7
D. 4.9
E. 4.08
Pls help! Step by step
Answer:
x = 55
Step-by-step explanation:
Since the sides of the shape are parallel, AngleC and AngleD will add up to 180° (see "parallel lines cut by a transversal" or maybe you have learned a big pile of parallelogram theorems)
Use this relationship to set up an equation.
2x + 20 + 50 = 180
combine like terms
2x + 70 = 180
subtract 70
2x = 110
divide by 2
x = 110/2
x = 55
x is 55
Answer:
The value of x is 55°
Step-by-step explanation:
GivienTwo adjacent angles of a parallelogram are (2x + 20)° and 50° respectivelySince we know that opposite angles of a parallelogram are equal
m∠C = m∠B = (2x + 20)°m∠D = m∠A = 50°The sum of any two adjacent angles is supplementary. This means, ∠A + ∠B = 180°, ∠B + ∠C = 180°, ∠C + ∠D = 180°, and ∠D + ∠A = 180.
So,
∠C + ∠D = 180°
(2x + 20)° + 50° = 180°
2x + 70° = 180°
2x + 70° - 70° = 180° - 70°
2x = 110°
2x/2 = 110°
x = 55°
Thus, The value of x is 55°
Rosa sold lemonade at a baseball game. She sold 101 cups for $2.00 each.
She spent $40.50 on supplies. How much money did she make?
Answer: it’s 161.50
Quadratic polynomial which has zeros at 7 and 3?
Answer:
x^2 - 10x + 21
Step-by-step explanation:
Sum of zeros
= 7 + 3
= 10
Product of zeros
= 7 x 3
= 21
x^2 - ( sum of zeros )x + product of zeros
= x^2 - 10x + 21
The Quadratic polynomial is x^2 - 10x + 21.
if the zeroes of a quadratic polynomial are a and b, then the polynomial can be written as :
[tex] \boxed{{x}^{2} - (a + b)x + ab}[/tex]
So,
[tex] \hookrightarrow \: {x}^{2} - (7 + 3)x + (7 \times 3)[/tex]
[tex]\hookrightarrow \: {x}^{2} - 10x + 21[/tex]
Use the distributive property to write an equivalent expression.
16+32
Hint: find the gcf.
Answer:
2( 4+4) = 16
Step-by-step explanation:
The gcf of 16+32 is 16
The product of all of the solutions of (4x + 2k)(2 -5x ) = 0 is (−15). Find k.
Answer:
k = 75------------------------------
Given equation:
(4x + 2k)(2 - 5x) = 0Its solutions are:
4x + 2k = 0 and 2 - 5x = 04x = - 2k and 2 = 5xx = - 0.5k and x = 0.4The product of the solutions is -15:
- 0.5k * 0.4 = - 15- 0.2k = - 15k = - 15/- 0.2k = 75Write an equation in standard form of the line that passes through the point and has the
given slope.(-2, 4); m = -6
O None of the other answers are correct
Oy - 6x = 8
O 6x + y = -8
Oy - 6x = -8
O 6x - y = 8
Answer:
6x + y = -8
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
m = -6
So
[tex]y = -6x + b[/tex]
(-2, 4)
This means that when [tex]x = -2, y = 4[/tex]. We use this to find b.
[tex]y = -6x + b[/tex]
[tex]4 = -6(-2) + b[/tex]
[tex]b = 4 - 12 = -8[/tex]
So
[tex]y = -6x + -8[/tex]
[tex]6x + y = -8[/tex]
find the eighth term of the sequence 1/3, -1, 3, -9, ..
Answer:
-729
Step-by-step explanation:
sequence is to multiply by -3 to get next term
Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes
Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.
What is the division operation?The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).
The distance between Benjamin and Felix = 35 miles
Benjamin's jogging pace or speed = 16 minutes per mile
Felix's jogging pace or speed = 10 minutes per mile
The number of miles that Benjamin can jog in 45 minutes = Time/Speed
= 2.8125 miles (45/16)
Thus, Benjamin will jog 2.8 miles in 45 minutes.
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If point C is between points A and B, AB=43, AC= -12x -9, BC = 24x + , what is the value of X? please help
Answer:
equation: 43+(-12x-9)+24x=X
Step-by-step explanation:
I WILL GIVE BRAINLIST
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for 10,
Round to the nearest whole number,
14 in
14 in.
15 in
Suom
Save and Exit
thandro
3x • 3y + 8 when x = 3, y = 2
Answer:
62
Step-by-step explanation:
Substitute x by 3 and y by 2
3*3*3*2+8=62
Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's coin collection?
Answer:
140
Step-by-step explanation:
7/.05 -140
An appliance store sells 373 vacuum
cleaners in the month of August. If it
sells 300 more vacuum cleaners in the
next month, how many vacuum
cleaners does it sell in September?
1/3m = 12-m
Please explain step by step to get marked as brainliest.
Step-by-step explanation:
cross multiply
12-m(3m)= 1
12-3m²-1=0
multiply by -1
3m²+1-12=0
3m²= 11
m²= 11/3
m=√11/3.
Solve equation2/3*2/3*2/3*2/3=
Answer:
16/81
Step-by-step explanation:
Same as (2/3)^4
compare the function rule f(x) = 3x +2 and the graph of g(x)
which statements are true? select two that apply.
-g(x) increases at a faster rate over the interval (-1,0)
-g(x) increases at a faster rate over the interval (1,2)
-g(x) increases at a faster rate over the interval (0,1)
-f(x) increases at a faster rate over the interval (2,3)
-f(x) increases at a faster rate over the interval (0,1)
-f(x) increases at a faster rate over the interval (1,2)
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x)
[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]
from the graphs n f (x) and g( x) are 1 and 5 .
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What is equivalent to " two more than three times a number is seven
Answer:
if it’s asking for a numerical answer it would be 1.67
(Rounded to the nearest two)
Step-by-step explanation:
A company bought New Year's greeting cards to send to its valued customers. Sixty of the cards they sent cost $2.30 each. Thirty of the cards cost $2.75 each The remaining 34 cards cost $1.95 each. What was the total amount spent on these cards?
Answer:
$287.82
Step-by-step explanation:
60 * 2.30 = 138
30 * 2.75 = 82.5
34 * 1.98 = 67.32
138 + 82.5 + 67.32 = 287.82
question 12 to find the shaded portion
12. The area of the shaded portion is the sum of the areas of a trapezoid and a parallelogram.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
9. The area of the shaded region is the area of the smaller trapezoid subtracted from the area of the larger trapezoid which is,
= [{(1/2)×(10 + 6)×8} - {(1/2)×(5 + 3)×4}].
= [8×8 - 4×4] cm².
= 64 - 16 cm².
= 48 cm².
10. Similarly the figure in (10) is twice the area of the two trapezoids.
11. We have subtract the sum of the areas of the trapezoid and the triangle from the larger rectangle.
12. The total area is the sum of the areas of the trapezoid and the parallelogram.
13. The larger figure is a rectangle with a right-angle triangle on top.
We have to subtract two rectangles from this to obtain the area of the shaded region.
14. To obtain the area of the shaded region we have to subtract the area of the trapezoid from the larger triangle with a height of 10cm.
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(Pythagorean Theorem and the Coordinate Plane MC)
Determine the perimeter of the right triangle shown
O 10 units
O 24 units
O 36 units
O 64 units
Answer:
A
Step-by-step explanation:
refer the sketch for step by step answer
Helpp me pleasee! No fake people or responses
Answer:
The first statement and the 3rd statement are true. :)
For future reference, cosine is ratio of the adjacent side to the hypotenuse
Someone HELPPppp for tmr
Answer:
y=1x-6
Step-by-step explanation:
First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.
-Hope this helped
Sharon created a rectangular prism with cubes that have a side length of 1 inch. The prism is shown below.
What is the volume of Sharon’s prism? A. 18 cubic inches B. 27 cubic inches C. 36 cubic inches D. 54 cubic inches
Answer:
6 x 2 x 3 = 36
Step-by-step explanation:
C is answer :)
Answer:
lets look at the width and the height and the length!
your width is: 6
your height is: 2
your length is: 3
Now lets multiply all given lengths to find the volume!
6 x 2 x 3 = 36 cubic inches!