Answer:
12.5% failed
Step-by-step explanation:
Convert the fraction 10 out of 80 into a decimal to become the percentage
Answer: 87.5% failed driving test is 12.5%
Step-by-step explanation:
the sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this claim is incorrect and find that a random sample of 14 similar vehicles has a mean price of $19,850 and a standard deviation of $1084. Is there enough evidence to reject the dealer's claim at a significance level (alpha) =0.05?
Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Step-by-step explanation:
given that;
n = 14
mean Ж = 19,850
standard deviation S = 1,084
degree of freedom df = n - 1 = ( 14 -1 ) = 13
H₀ : ц ≥ 20,500
H₁ : ц < 20,500
Now the test statistics
t = (Ж - ц) / ( s/√n)
t = ( 19850 - 20500) / ( 1084/√14)
t = -2.244
we know that our degree of freedom df = 13
from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215
so P = 0.0215
significance ∝ = 0.05
we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )
There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
what is the area of the triangle in the diagram?
Answer:
area=17.5
Step-by-step explanation:
area=1/2(base*height)
area=1/2(3*7)
are=17.5
For the inequality y+4x≤x2+2, where is the graph shaded and is the curve solid or dotted?
Answer:
The graph shaded outside the parabola and the curve is solid.
Step-by-step explanation:
The given inequality is
[tex]y+4x\leq x^2+2[/tex]
It can be rewritten as
[tex]y\leq x^2-4x+2[/tex]
The sign of inequality is [tex]\leq[/tex], so the curve is a solid line.
The related equation of line is
[tex]y=x^2-4x+2[/tex]
Table of values is
x 0 2 4
y 2 -2 2
Plot these points and draw a U-shaped curve.
Check the equality for (0,0).
[tex]0\leq (0)^2-4(0)+2[/tex]
[tex]0\leq 2[/tex]
This statement is true. So, (0,0) lies in the shaded portion.
So, shade the graph outside the parabola.
HELP JOHN CHEN I need help
Solve the system algebraically. 2x+ y - 10 = 0 x - y - 4 = 0 What is the value of y? 1/3 2/3 14/3
Answer:y = 2/3
Step-by-step explanation:
2x + y = 10
x - y = 4
-----------------add
3x = 14
x = 14/3
x - y = 4
14/3 - y = 4
-y = 4 - 14/3
-y = 12/3 - 14/3
-y = -2/3
y = 2/3 <==
Answer:
2x + y = 10
x - y = 4
-----------------add
3x = 14
x = 14/3
x - y = 4
14/3 - y = 4
-y = 4 - 14/3
-y = 12/3 - 14/3
-y = -2/3
y = 2/3 <==
Step-by-step explanation:
super easy problem its just graphing!! will mark brainliest <33
Answer:
[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
Check below the graph.
Step-by-step explanation:
Hi, for this function, check the graph below:
1) Note that in this function the value outside the brackets points how high the graph will be traced.
2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.
Choose the best estimate for the division problem below
6.7 /0.6
A. 16
B. 15
C. 11
Answer:
11
Step-by-step explanation:
6.7 / .6
Multiply top and bottom by 10
67/6
66/6 = 11 so this is close to 11
(h) 2/5 : 3/10
(i) 1/2 : 1/4: 1/6
(j) 2⅕ : 1¼ : 1⅕
express the following ratios in the simplest form.
Answer:
4/3
12
44/30
Step-by-step explanation:
2/5:3/10
=2/5*10/3
=20/15
=4/3
1/2:1/4:1/6
=1/2*4/1*6/1
=4/2*6/1
=24/2
=12
2⅕:1¼:1⅕
11/5:5/4:6/5
=11/5*4/5*5/6
=44/25*5/6
=220/150
=44/30
Hope this helps ;) ❤❤❤
ANSWER ASAP DO # 8 AND 9
Answer:
8: 1721 m
9: 1173 m
Step-by-step explanation:
8:
[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]
because initial velocity is 0:
[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]
9:
[tex]v_f^2 = v_i^2 + 2ad[/tex]
because velocity initial is 0:
[tex]v_f^2 = 2ad[/tex]
[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]
Answer:
do it youself
Step-by-step explanation:
whats the principle square root of 100 A.10 B.50 C.200 D.10,000
I need help!
- 7(x + 2) = 21
Answer:
x = -5
Step-by-step explanation:
-7(x + 2) = 21
Divide each side by -7
-7/-7(x + 2) = 21/-7
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
Answer:
x = -5
Step-by-step explanation:
distribute: -7x-14 = 21
add 14 to both sides
divide by -7
x = -5
please help! I don't understand how to do this :(
Simplify.
Remove all perfect squares from inside the square root. Assume y is positive.
√200y^4=
Answer:
[tex]10\sqrt{2[/tex]y²
Step-by-step explanation:
So I am not sure if the root is only on 200, but if it is not, please comment, and I will add to it.
In the picture down below
Answer:
b
Step-by-step explanation:
The answer is b because we are looking for opposites
The opposite of +x is -x
While the opposite of -3 is +3
with this, we can switch them around.
this gives us the inverse of 3-x
A company can make 12 printing presses for $78,600. It can make 19 printing presses for $82,380. Find the linear equation that models the cost to produce x printing presses. Use slope-intercept form
Answer:
[tex]C(x) = 540x + 72120[/tex]
Step-by-step explanation:
Given
Cost = $78,600 when Printing Press = 12
Cost = $82,380 when Printing Press = 19
Required
Determine the linear equation
From the given parameters; Cost is a function of Printing Press
Represent Cost by C and Printing press by x;
This implies that C = f(x)
The given parameters can then be modeled as; [tex](x, C)[/tex]
[tex](x_1, C_1) = (12,78600)[/tex]
[tex](x_2, C_2) = (19,82380)[/tex]
The first step is to calculate the slope, m;
[tex]m = \frac{C_1 - C_2}{x_1 - x_2}[/tex]
[tex]m = \frac{78600 - 82380}{12 - 19}[/tex]
[tex]m = \frac{-3780}{-7}[/tex]
[tex]m = 540[/tex]
The linear equation can then be calculated using slope formula
[tex]m = \frac{C- C_2}{x - x_2}[/tex]
Substitute 540 for m and [tex](x_2, C_2) = (19,82380)[/tex]
[tex]540 = \frac{C- 82380}{x - 19}[/tex]
Multiply both sides by x - 19
[tex]540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)[/tex]
[tex]540 * (x-19)= C- 82380[/tex]
Open bracket
[tex]540x - 10260 = C - 82380[/tex]
Add 82380 to both sides
[tex]540x - 10260 + 82380= C - 82380 + 82380[/tex]
[tex]540x - 10260 + 82380= C[/tex]
[tex]540x + 72120= C[/tex]
[tex]C = 540x + 72120[/tex]
Hence;
[tex]C(x) = 540x + 72120[/tex]
Simplify (8j3 − 10j2 − 7) − (6j3 − 10j2 − j + 12).
Answer:
Step-by-step explanation:
8j^3-10j^2-7-6j^3+10j^2+j-12
2j^3+j-12
Logan Chivery owns her own car. Her june monthly interest was $300. The rate is 8 1/2 percent. Logans principal balance at the beginning of June is $42,335.14.
Logan Chivery owns her own car. Her June monthly interest was $300. The rate is 8.5 percent. Logan's principal balance at the beginning of June is: (Use 360 days-do not round the denominator.)
A. $42,353.14
B. $42,335.14
C. $2,335.14
Answer: A. $42,353.14
Step-by-step explanation:
When taking a loan, we have to pay interest. The Simple Interest Formula is:
Simple Interest (I) = Principal (P) × Interest Rate (r)
Principal (P) is the borrowed amount.
Interest Rate (r) is the percent of the principal to be paid.
Time (t) is the length of time that money is borrowed.
If Logan Chivery has the monthly interest of $300 at a rate of 8.5% per year, first, we have to convert the year rate to the month of June rate.
30 days = 8.5÷360÷30 = 0.7083333333 interest rate
Then, find the Principal by using the formula
Simple Interest (I) = Principal (P) × Interest Rate (r)
4,2352.94×0.7083333333÷100=299.99
Please help mee What is the smallest positive integer whose proper divisors add up to more than the integer itself?
Answer:
12
Step-by-step explanation:
The proper divisors of 12 are
1 2 3 4 6
Add those together you get 16
5/16 = 15/18 is proportion
Answer:
False
Step-by-step explanation:
In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.
What is the volume of the cone? What is the volume of the cylinder? What is the volume of the sphere? At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. Hint: Which shapes gives you more clay for less money?
Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
What does x equal in the equation 4x + (−3) = 5x + 3?
Answer:
x = -6
Step-by-step explanation:
First write the equation.
4x + -3 = 5x + 3
The isolate x in the equation. Add -4x to both sides.
4x + -3 + -4x = 5x + 3 + -4x
-3 = x + 3
Then add -3 to both sides.
-3 + -3 = x + 3 + -3
-6 = x
Now you have the value of x = -6.
Cheers.
Answer:
x = -6Step-by-step explanation:
4x + (−3) = 5x + 3+3 +3
4x = 5x + 6-5x -5x
-x = 6÷(-1) ÷(-1)
x = - 6Fredo has a coupon for $1.00 off the price of a loaf of bread at the grocery store.After he arrived at the store,he found out the bread had already been marked down $2.00.what is the total discount on the price of the bread.
Answer:
$3 discount
Step-by-step explanation:
If Fredo originally had the markdown as $0 (meaning no change), then he arrived at the store, seeing the markdown was $2, the current markdown is $2.
Now that he has an extra $1 off, he gets 2+1 = $3 off the bread.
Hope this helped!
The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, comma, 1, comma, 2, comma, 1, comma, 2 Find the mean number of children.
Answer:
The mean number of the children is 1.2
Step-by-step explanation:
Given
Children: 0, 1, 2, 1, 2
Required
Determine the Mean number
The mean of a set is calculated as follows;
[tex]Mean = \frac{\sum x}{n}[/tex]
Where x is the given set and n is the number of sets
In this case, n = 5 children
Hence;
[tex]Mean = \frac{0 + 1 + 2 + 1 + 2}{5}[/tex]
[tex]Mean = \frac{6}{5}[/tex]
[tex]Mean = 1.2[/tex]
Hence, the mean number of the children is 1.2
Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is more correct why or why not
Answer:
Step-by-step explanation:
A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite. An irrational number cannot be expressed as a ratio of two integers.
Taking square root of two as an example;
√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.
Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers not due to the fact that he can write it as a fraction.
The Pentagon building in Washington, DC is the military headquarters of the United States. Why is this building called the Pentagon? Among the redwoods in California, there’s a rustic inn and restaurant called The Hexagon House. From the name of the inn, how many walls can you assume the main building of the inn has? Jill bought a basket to fill with potpourri. The basket has eight sides. What shape is it? Write the correct name for each of the following polygons. a. A Shape b. A Shape c. A Shape d. A Shape Find the perimeter of each of the regular polygons described below. a. A square with sides measuring 6 centimeters b. An equilateral triangle with sides measuring 7 inches c. A regular heptagon with sides measuring 4 feet d. A regular nonagon with sides measuring 9 inches. Find the perimeter of each of the following polygons. Polygons Shelly is hanging strings of holiday lights around the front windows of her house. Each window is a square with sides measuring 5 feet in length. She has a total of 80 feet of light strings. How many windows will she be able to decorate? Use equations to find the length of the missing sides in each of the following polygons. a. A Shape b. A Shape c. A Shape d. A Shape
Answer:
1. It has 5 sides.
2. It has 6 walls.
3. Octagon
4. a. Pentagon (The figure has 5 sides.) b. Triangle (The figure has 3 sides.) c. Hexagon (The figure has 6 sides.) d. Hexagon (The figure has 6 sides.)
5. a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm, b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7, in. = 21 in., c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft., d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
6. a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft. b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in. c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
7. Shelly has enough lights to decorate four windows.
8. a. 8 ft, b. 4 m, c. 24 ft, d. 7 cm
Step-by-step explanation:
PennFoster
Answer:
It has 5 sides.
It has 6 walls.
Octagon
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm
b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7 in. = 21 in.
c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft.
d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft.
b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in.
c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
Let w stand for the number of windows Shelly can decorate. Each window is a square with sides measuring 5 feet. The perimeter of one window is 4 × 5 feet. Divide the total length of the light strings by the perimeter of one window.
80 ft. ÷ (4 × 5ft.) = w
80ft. ÷ 20ft. = w
4 = w
Answer: Shelly has enough lights to decorate four windows.
Step-by-step explanation:
PENN
Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the previous round’s score. If he has 8 points in the first round, which of the following recursive formulas can be used to determine his score at the end of future rounds? Assume that the number of rounds is unlimited, and n is the number of rounds.
Answer:
8+n^2
Step-by-step explanation:
Answer:
f(n+1)=(f[n]-1)^2, where f(1)=8
Step-by-step explanation:
"it appears your explanation includes a link" so you don't get an explanation
please hellppp please someone help me fast
w over 3< 1 or 3w+5>11
Step-by-step explanation:
[tex]\dfrac{w}{3}<1\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{w}{3\!\!\!\!\diagup}<3\cdot1\\\\w<3\\===========================\\3w+5>11\qquad\text{subtract 5 from both sides}\\\\3w+5-5>11-5\\\\3w>6\qquad\text{divide both sides by 3}\\\\\dfrac{3w}{3}>\dfrac{6}{3}\\\\w>2\\\\[/tex]
[tex]\text{If is}\ \bold{OR},\ \text{then}:\\\\w<3\ or\ w>2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w<3\ and\ w>2\Rightarrow 2<w<3\to w\in(2;\ 3)[/tex]
One angle of an isosceles triangle is 80º. What are the other two angles?
Answer:
80 and 20
Step-by-step explanation:
80+80+20=180
Let $f(x)=x+5$ and let $g(x)=x^2+1$. Let $p(x)=g(x)+f(x)$ and let $q(x)=g(x)-f(x)$. Find $p(x)\cdot q(x)$.
Answer:
The data that we have is:
f(x) = x + 5
g(x) = x^2 + 1
p(x) = g(x) + f(x) = (x^2 + 1) + (x + 5) = x^2 + x + 6.
q(x) = g(x) - f(x) = (x^2 + 1) - (x + 5) = x^2 - x - 4
We want to find p(x)*q(x)
well, we can replace:
p(x)*g(x) = (g(x) + f(x))*(g(x) - f(x))
Now, you can recall the relationship:
a^2 - b^2 = (a + b)*(a - b)
then we have that:
(g(x) + f(x))*(g(x) - f(x)) = g(x)^2 - f(x)^2
now we can replace g(x) and f(x) by the expressions that we know:
g(x)^2 - f(x)^2 = (x^2 + 1)^2 - (x + 5)^2
now we can simplify this:
(x^2 + 1)^2 - (x + 5)^2 = (x^4 + 2*1*x + 1^2) - (x^2 + 2*5*x +5^2)
= x^4 + 2*x + 1 - x^2 - 10x - 25
= x^4 - x^2 - 8*x - 24
p(x)*q(x) = x^4 - x^2 - 8*x - 24
Answer:
x^4+x^2-10x-24
Step-by-step explanation: