Answer:
the probability is 13/25
Step-by-step explanation:
5+8 = 13 and there are 12 erasers, 12 + 13 = 25. you have a 13/25 chance of not picking an eraser.
A parabola can be drawn given a focus of (3, 1) and a directrix of x = -5. What can
be said about the parabola?
The parabola has a vertex at
O,
Answer:
The statements that can be made about the parabola are;
The parabola opens towards the right
The equation of the parabola is (y - 1)² = 16 × (x + 1)
The parabola has a vertex at (-1, 1)
Step-by-step explanation:
The given focus of the parabola is (3, 1)
The directrix of the parabola, x = -5
Therefore, from the location of the directrix (on the x-axis) and the location of the focus relative to the directrix towards the positive direction of the x-axis relative to the directrix, the parabola opens towards the left of the coordinate chart
The general equation of the focus = (h + p, k)
The general equation of the directrix, x = h - p
Comparing with the values of the focus and the directrix of the given parabola, we have;
(3, 1) = (h + p, k)
-5 = h - p
Therefore, we get;
k = 1
h + p = 3...(1)
h - p = -5...(2)
Adding equation (1) to equation (2) gives;
h + h + p - p = 3 + (-5)
2·h = -2
h = -2/2 = -1
h = -1
From equation (1), we get;
h + p = -1 + p = 3
∴ p = 3 + 1 = 4
p = 4
The vertex of the parabola, (h, k) = (-1, 1)
The equation of the parabola in the form (y - k)² = 4·p·(x - h) is therefore, presented as follows;
The equation of the parabola = (y - 1)² = 4 × 4 × (x - (-1))
(y - 1)² = 16 × (x - (-1))
The equation of the parabola is (y - 1)² = 16 × (x + 1).
I need the answer hurry please
Which statement is true about the diameter of a circle?
The diameter has 3 endpoints.
The diameter is one half the length of a radius.
The diameter must pass through the center of the circle.
A diameter is not a chord.
A diameter is a type of radius.
Answer:
The diameter must pass through the center of the circle.
Step-by-step explanation:
TRUE STATEMENT :
The diameter must pass through the center of the circle.
Answer:
A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
Step-by-step explanation:
The only way to answer this question is to check the definitions of chord and diameter.
A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.
Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.
Sometimes the diameters are also called the larger of the chords.
You think (claim) that the average franchise investment information shown in
the graph above is incorrect, so you randomly select 30 franchises and
determine the necessary investment for each. The sample mean investment is
$135,000 with a standard deviation of $30,000. Is there enough evidence to
support your claim at a = 0.05?
Using t-test, there isn't an enough evidence to support our claim that investment average is $135,000 at α = 0.05.
What is t - test?The one sample t test compares the mean of your sample data to a known value (population mean in our question, i.e. , we wish to compare the sample mean with the population mean). One sample t test should be used when you the population standard deviation is not known or the sample size is very small.
Assumptions of the t-test for the test to be valid:-
Data is independent.Data is collected randomly. For example, with simple random sampling.The data is approximately normally distributed.Null hypothesis: μ = $143,260
Alternative hypothesis: μ < $143,260
Calculating test statistic.
n = 30
sample mean = $135,000
sample standard deviation = $30,000
[tex]t_{0} = \frac{sample\ mean - population\ mean}{\frac{standard\ deviation}{\sqrt{sample\ size} } }[/tex]
[tex]t_{0} = \frac{135000 - 143260}{\frac{30000}{\sqrt{30} } }[/tex]
|to| = 1.508
Test criteria:
level of significance = 0.05
t(0.05, 29) = 1.6991
Since, |to| = 1.508 < t(0.05, 29) = 1.6991, null hypothesis cannot be rejected.
Learn more about t-test here
https://brainly.com/question/15870238
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What figure has properties of all sides congruent and all right angles?
A. Rectangle
B. Square
C. Parallelogram
D. Rhombus
HELP ME PLEASE
if you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building?
Answer:
16.49 feets
Step-by-step explanation:
Using Pythagoras rule, we could find, h the height of the wall ;
Using the relation :
a² = b² + c²
36² = h² + 32²
1296 = h² + 1024
h² = 1296 - 1024
h² = 272
h = √272
h = 16.49 feets
What is the equation for direct variation?
Answer:
y=kx
Step-by-step explanation:
For this example it would be [tex]y=\frac{72}{2} x\\[/tex] or y=36x
can someone help me on number 2 and please ASAP :( will mark brainlist
Answer:
A = 53°
AB = 23.3
BC = 18.6
Step-by-step explanation:
2. Given,
C = 90°
B = 37°
AC = 14
Required:
A, AB, and BC
Solution:
✔️A = 180 - (90 + 37) (sum of triangle)
A = 53°
✔️Find AB and BC using trigonometric function:
Reference angle = 37°
Opp = 14
Hyp = AB
Adj = BC
To find AB, apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 14/AB
AB = 14/Sin 37
AB = 23.262962 ≈ 23.3 (nearest tenth)
To find BC, apply TOA:
Tan 37 = Opp/Adj
Tan 37 = 14/BC
BC = 14/Tan 37
BC = 18.5786275 ≈ 18.6 (nearest tenth)
I need your help, please answer!!
Answer:
non linear ( ꈍᴗꈍ)( ╹▽╹ )( ╹▽╹ )
Hey u yea u Ik u reading this and why u at it can u help a girl out!? Sheesh
Answer:
30
Step-by-step explanation:
120+30 =150
180-150 =30
Answer:
30
Step-by-step explanation:
for every one rotation a small gear takes, the larger gear makes 1/6 of a rotation. If the gear makes 10 complete rotations, how many rotations will the larger gear have made
Answer:
Step-by-step explanation:
1 and 2/3 rotations. The little gear full rotation is equal to 1/6 of the big gears rotation. So if the big gear rotates once then its equal to 6 of the small rotations the extra 4 of the 10 rotations then becomes 4/6 of the big gears rotation or if simplified further, 2/3. This is my way of solving these questions
Question in image again
Hello there!
I used a calculator for this problem, but it shows you the steps involved. The picture is included. I hope this helps!
Can someone plz help me
Answer:
32.56
Step-by-step explanation:
I think that's the area.
PQR is an isosceles triangle with PR = PQ.
(5x -4°
(x + 52)
Calculate the value of y.
Answer:
Step-by-step explanation:
As two sides are equal so angles opposite to these are also equal, hence
5x-4=x+52
4x=56
X=14
Now,
R=5x-4
R=66
And,Q=x+52
Q=66(we already knew both angles are equal)
Now as sum of all angles of triangle equal 180 so,
66+66+P=180
P=48
The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd
Answer:
6.3 yards
Step-by-step explanation:
mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle
we have this as;
C = 2 * pi * r
r is 1 yard
c = 2 * pi * 1 = 2pi yards = 6.3 yards
TheratioofboystogirlsinMs.Cunningham’sclassis2to3.Thereare18girlsintheclass.WhatisthetotalnumberofstudentsinMs.Cunningham’sclass?
Answer:
12
Step-by-step explanation:
h + 52 72
———- = —-
70. 56
Answer:
h = 38
Step-by-step explanation:
[tex] \frac{h + 52}{70} = \frac{9}{7} [/tex]
[tex]h + 52 = \frac{9}{7} \times 70[/tex]
[tex]h + 52 = \frac{9 \times 70}{7} [/tex]
[tex]h + 52 = \frac{630}{7} [/tex]
[tex]h + 52 = 90[/tex]
[tex]h = 90 - 52[/tex]
[tex]h = 38[/tex]
the answer is 38.
A random sample of cats at the local shelter shows 12
out 20 are kittens. If the shelter usually has 150 cats,
how many would you predict would be kittens?
Answer:
90 kittens
Step-by-step explanation:
Find the percent of cats that are kittens using the 12 out of 20.
12/20 = 0.6 = 60%
Now, find 60% of 150 cats.
150 • 0.6 = 90 kittens
Answer:
First you should divide 20-12=8 Then *18.75*
That would be the answer
Step-by-step explanation:
Hope This Helps!!! :)
.
Part A
When flipping a penny, what is the theoretical probability of landing on heads? What is the theoretical probability of landing on tails?
Answer:
Theoretically, since it has two sides, it's a 50 50, chance. 50%
adding and subtracting polynomials. help?
hope this help you! have a great day
What some sort of number do I need to times 32 by each time to equal 104?
Answer:
3.25
Step-by-step explanation:
Divide 104 by 32
Answer:
3.25 or 3 1/4
Step-by-step explanation:
"By what number must I multiply 32 to get 104?"
Divide 104 by 32: 3.25 or 3 1/4
HELP! find area! no links please:) also provide explanation
Answer:
A=30cm^2
Step-by-step explanation:
Area of a parallelogram is base X height
in this diagram base = 10 cm
height = 3 cm
3 X 10 = 30
Answer:
30 cm^2
Step-by-step explanation:
Formula of parallelogram = base * height
height = 3
base = 10
10(3) = 30
Express the first quantity as a percentage of second quantity $45, $120.
Answer: 37.5%
Step-by-step explanation:
Percentage = Given Quantity/Total Quantity*100
So here, it will be like: 45/120*100
=0.375*100
=37.5%
no hosting link just a simple answer to my question. please help only if you want a brainliest thank you.
Answer: 5
Step-by-step explanation:
HELP ME PLZZZZZZZZZZZZZ
A and b. Find the length of arc ZY. Round to the nearest hundredth.
Answer:
5.24 inches
Step-by-step explanation:
We are to find the arc length of the above circle
The formula is given as:
2πr × θ/360
θ = 75°
Radius = 4 inches
Arc length ZY = 2 × π × 4 × (75/360)
= 5.235987756 inches
Approximately = 5.24 inches
Arc length ZY = 5.24 inches
17 atleast please help meeeeee .
Answer:
C
Step-by-step explanation:
A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle. Show your reasonings.
Answer:
8.73 units
Step-by-step explanation:
Use the area formula, A = lw
Plug in the are and given side length, and solve for w
A = lw
24 = 2.75w
Divide each side by 2.75
8.73 = w
The other side length of the rectangle is approximately 8.73 units
Isaac exits his house and walks 2.3 miles south. Then, he turns and walks 4.5 miles east. How far away is Isaac from his house? Round your answer to the nearest tenth and label your answer. The labelling answer is miles
Answer:
5 miles
Step-by-step explanation:
2.3 miles south
then 4.5 miles east
a^2 + b^2 = c^2
a = 2.3 miles
b = 4.5 miles
(2.3)^2 + (4.5)^2 = c^2
c^2 = 25.54
[tex]\sqrt{c^2}[/tex] = [tex]\sqrt{25.54}[/tex]
c = 5.0
Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?
Answer:
3.00 years
Step-by-step explanation:
Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?
Your answer
Given data
Principal= $85
Rate= 4.5%
Intterest= $11.48
The simple interest formula is
SI= PRT/100
11.48= 85*4.5*T/100
cross multiply
11.48*100= 85*4.5*T
1148=382.5T
divide both sides by 382.5
T= 1148/382.5
T= 3.00 years
Hence the time is 3 years
