Answer:
n = 2
Step-by-step explanation:
The intersecting chord theorem describes the relation between line segments in a circle formed by intersecting chords.
The product of line segments in a chord is equal to the product of line segments in the other chord if intersecting in a circle.
This means that:
(n + 16)(4) = (n + 6)(9)
4n + 64 = 9n + 54
–4n –4n
64 = 5n + 54
–54 –54
10 = 5n
5n = 10
÷5 ÷5
n = 2
________________
4n + 64 = 9n + 54
4(2) + 64 = 9(2) + 54
8 + 64 = 18 + 54
72 = 72 ✓
It for some reason won’t let me put the whole page
When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces.
Answer:
The answer is below
Step-by-step explanation:
When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.
Solution:
The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given by:
[tex]E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16[/tex]
The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)
b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce
Who could help me please and thank
Answer:
The given expression 3[tex]x^{3}[/tex]-[tex]x^{2}[/tex] represents a polynomial.
The type of polynomial is Binomial.
The degree of the polynomial is 3.
Step-by-step explanation:
The degree of a polynomial is the highest variable exponent with a non-zero coefficient.
A binomial is a polynomial expression that contains exactly two terms.
1st term: 3[tex]x^{3}[/tex] 2nd term: [tex]x^{2}[/tex]
NEED HELP will give BRAINLY
Answer:
y=1x+8
Step-by-step explanation:
The best way to remember the formula is y=mx+b aka (your mom's ex bf)Just by looking at the slope you can automatically tell it's moving by one so in your formula, 'm' is the slope.Add 1x to replace 'm' or you can leave x alone because x is already one, your choice.b is the indication on where your slope started in the y-axis. In this case, by looking at the y-axis on the graph, the slope starts at 8 so that will be your b.Therefore, your answer is y=1x+8Jenny works at a video store. She earns
$6.25 an hour plus $6 for each
membership she sells.
Write a formula that will help Jenny
determine how much she will earn in one
week.
Let's let
a = total amount earned
h = hours worked in one week
b = number of memberships sold in one week
Answer:
You're answer would be 6.25h+6b=a
The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.
Answer:
x + 22x - 3 = 4 (5x) + 3 (x-1)
Step-by-step explanation:
x + 22x - 3
23x - 3
20x + 3x - 3
5x + 15x + 3x - 3
5x (1 + 3) + 3 ( x - 1)
4 (5x) + 3 (x-1)
help please please please
Answer:
A
Step-by-step explanation:
because every 3 bats he hit 1
a) (-6)* = -6° b) (-3) = -3$ c) 82 = (-8)
[tex]( 5 + 4 {)}^{2} = {5}^{2} + {4}^{2} [/tex]
Answer:
pues yo pienso que es 8 es que no se muy bien
Find the measures of the exterior angles of the polygon.
Answer:
D : 125°,125°,55°,55°
Step-by-step explanation:
Finding the interior angles makes the question easier.
The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.
Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.
180°-55° = 125°
180°-125° = 55°
What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
Given:
The height of a golf ball is represented by the equation:
[tex]y=x-0.04x^2[/tex]
To find:
The maximum height of of Anna's golf ball.
Solution:
We have,
[tex]y=x-0.04x^2[/tex]
Differentiate with respect to x.
[tex]y'=1-0.04(2x)[/tex]
[tex]y'=1-0.08x[/tex]
For critical values, [tex]y'=0[/tex].
[tex]1-0.08x=0[/tex]
[tex]-0.08x=-1[/tex]
[tex]x=\dfrac{-1}{-0.08}[/tex]
[tex]x=12.5[/tex]
Differentiate y' with respect to x.
[tex]y''=(0)-0.08(1)[/tex]
[tex]y''=-0.08[/tex]
Since double derivative is negative, the function is maximum at [tex]x=12.5[/tex].
Substitute [tex]x=12.5[/tex] in the given equation to get the maximum height.
[tex]y=(12.5)-0.04(12.5)^2[/tex]
[tex]y=12.5-0.04(156.25)[/tex]
[tex]y=12.5-6.25[/tex]
[tex]y=6.25[/tex]
Therefore, the maximum height of of Anna's golf ball is 6.25 units.
Jimmy,bobby,johnny, and brenda are arguing over how to best estimate 3,186 ÷ 79
Answer:
40.3291139241
Step-by-step explanation:
no, thank you
Answer: You get 40.36 first. If it is by nearest tenth, then 40.4. Nearest ten, then 40
Pls help ASAP!!!
Buffy attends a night school, and the ages of the people in his study group are: 42, 55, 36, 41, 38, 33, and 46. What is the best estimate of the population mean for ages of night school attendees? Enter your answers rounded to the nearest tenth.
Answer:41.6
Step-by-step explanation:
Mhanifa please help this is late and I don’t get it
Answer:
Sin k jajs
Step-by-step explanation:
Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined
Answer:
Its A
Step-by-step explanation:
Because if you add 3+5 that is 8 so 8/8
What is the value of -2(x+5) Please I'm in need of help
Answer:
-2x - 10
Step-by-step explanation:
-2 x X = -2x
-2 x 5 = -10
Put them together to get:
-2x - 10
Answer:
-2(x) or (-2×x)
then you get = -2x
then you take
-2×+5 or (-2×5) you'll get = -10
last but not least you join the equation
and the answer will be
= -2x-10
f(x)=x2. what is g(x)?
Answer:
A
Step-by-step explanation:
Hi again. In this case, the graph enlarges. Coefficient of x is <1. Try to substitute x = 3 to (1/3x)^2 and (1/9x^2)
(1/3 * (3))^2=1
In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.
Find RV and m ZVUR.
R
S
U
T
Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
---------------------------------------------------------------
∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR = [tex]\frac{180-84}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48°
I only need the b if someone has it could pass it to me
Answer:
40%
Step-by-step explanation:
Find the a26 arithmetic sequence: -15,-35,-55,-75
-515
460
-490
Step-by-step explanation:
QUESTION:-Find 26th term of the A.P --15,-35,-55,-75...
Solution:-First term=a=-15
Common Difference=d=-20
We know that
[tex]\boxed{\sf a_n=a+(n-1)d}[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}[/tex]
Pythagorean Theorem Digital Escape Puzzle 5,Need Answer Immediately!!!
Answer: a = 6.53
Step-by-step explanation:
Answer: its HCFD i just did it
Step-by-step explanation:
-2/5 + 1 1/3 find the sum
Answer: =14/15
Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!
A wire is bent into semicircles. How long is the wire to the neared hundredth? The diameter is 32 cm
Answer:
200.96
Step-by-step explanation:
2πr is the perimeter or circumference of a circle
.
diameter is 32cm so radius=16cm
2*3.14*16=100.48cm is long
The students in Ms. Gonzales' fifth grade math class earned the following grades on their first test: 46, 56, 64, 64, 72, 76, 77, 82, 94, 96,99 What was the mean of the grades? (round to the nearest whole number) A. 826 OB. 75 O c. 76 OD. 64 O E 83
Answer:
75
Step-by-step explanation:
mean = average so add up all your numbers, then divide by the amount of numbers so
46 + 56 + 64 + 64 + 72 + 76 + 77 + 82 + 94 + 96 + 99 = 826
826 ÷ 11 = 75.09 (about)
A trebuchet launches a projectile from a hilltop 30 feet above ground level on a parabolic arc at a velocity of 40 feet per second. The equation h=−16t2+40t+30
models the projectile's h height at t seconds. How long will it take for the projectile to hit its target on the ground (to the nearest tenth of a second)?
2.8 seconds
3.1 seconds
3.5 seconds
3.9 seconds
pleaseee help mee!
..
Answer:
Step-by-step explanation:
The current and voltage of new ultrathin CIGS solar cells vary based on temperature. The graph shows the current, in milliamps per square centimeter (mA/cın”), and voltage, in volts (V), at
various temperatures, in degrees Kelvin (K)
Which of the following best estimates the rate of change of voltage, in volts per degree Kelvin (V/K)?
simplify 3+4(y-7)+5y
Answer:
9y-25
Step-by-step explanation:
Answer:
9y-25
Step-by-step explanation:
Math
the volume of the cylinder above is 2,119.5^m3 what is the radius of the cylinder
Answer:
7.5
Step-by-step explanation:
Pi * r^2 * 12 = 2119.5
r^2 = 56.25
r = sqrt(56.25) = 7.5
what is 4.13 to the nearest tenth
Answer:
4.1
Step-by-step explanation:
A triangle has sides with lengths of 72 inches, 78 inches, and 30 inches. Is it a right triangle?
Answer:
yes
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 78 and 78² = 6084
72² + 30² = 5184 + 900 = 6084
Then the triangle is right