Answer:
The t-score is t = 2.457.
Step-by-step explanation:
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 = 31 - 1 = 30
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a one-tailed confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457.
The t-score is t = 2.457.
The x-intercept is the point on the x-axis where the line crosses it. The
y-coordinate of the line's x-intercept is always zero. The x-coordinate of the
x-intercept is the number where it crosses the x-axis. A line with an x-
intercept of (5,0) crosses the x-axis at the number 5. A line with an x-
intercept of (-5,0) crosses the x-axis at -5.
Which of these coordinates could be a line's x-intercept?
A
(3,1)
B
(0,-12)
С
(-5,4)
(-7,0)
Answer:
D
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (3, -6)
Answer:
[tex]\displaystyle d = 15[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, 6)
Point (3, -6)
Step 2: Identify
(-6, 6) → x₁ = -6, y₁ = 6
(3, -6) → x₂ = 3, y₂ = -6
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3--6)^2+(-6-6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(9)^2+(-12)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+144}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{225}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 15[/tex]The first day of a water polo tournament the total value of tickets sold was $1540. One-day passes sold for $10
and tournament passes sold for $20. The number of tournament passes sold was 23 more than the number of day
passes sold. How many day passes and tournament passes were sold?
Answer:
59 tournament passes and 36 one-day passes were sold.
Step-by-step explanation:
Since the first day of a water polo tournament the total value of tickets sold was $ 1540, and one-day passes sold for $ 10 and tournament passes sold for $ 20, and the number of tournament passes sold was 23 more than the number of day passes. sold, to determine how many day passes and tournament passes were sold, the following calculation must be performed:
20 x 33 + 10 x 10 = 760
20 x 63 + 10 x 40 = 1,660
20 x 58 + 10 x 35 = 1,510
20 x 59 + 10 x 36 = 1,540
Thus, 59 tournament passes and 36 one-day passes were sold.
The table shows the number of gallons of water
Answer:
Hello! answer: 360
Step-by-step explanation:
The rule is multiply by 30 I found this out by using the info shown in the table like...
120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!
Find the value of the variable. Round decimal to nearest tenth if necessary.
Given:
In a right angle triangle,
Length of legs are x and 7.
Length of hypotenuse = y
Measure of angle between leg 7 and hypotenuse = 33 degrees.
To find:
The value of x and y.
Solution:
In a right angle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]
[tex]7\times \tan (33^\circ)=x[/tex]
[tex]7\times 0.6494=x[/tex]
[tex]4.5458=x[/tex]
Approximate the value to the nearest tenth.
[tex]x\approx 4.5[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]
[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]
[tex]y=\dfrac{7}{0.83867}[/tex]
[tex]y=8.34655[/tex]
Approximate the value to the nearest tenth.
[tex]y\approx 8.3[/tex]
Therefore, the correct option is D.
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
Find the value of x. If necessary, write your answer in simplest radical form.
12
9
Answer:
3√7
Step-by-step explanation:
9²+B²=12²
simplify
81+B²=144
minus the 81
B²= 63
100 POINTS !!!! Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?
Answer:
6
Step-by-step explanation:
fog(x) = √3(x-6)
Domain => 3(x-6) ≥ 0
<=> x-6≥ 0
=> x ≥ 6
so, the smallest number is 6
As
(fog)(x)=f(g(x))
g(x)=x-6f(g(x))
f(x-6)√3(x-6)So
x-6≥0x≥6Smallest no is 6
7k-6,2k+14 solve for K
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
Complete the blanks:
Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.
Answer:
Horizontal lines have __zero___
slope and vertical lines have undefined slope.
Horizontal lines have ___linear____ equations that say _y_= any number.
Vertical lines have equations that say _x_= any number.
Answer:
To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.
The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
Step-by-step explanation:
Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz
Sove for X choose one. Pls
What is the length of a 50-inch TV that has a width of 27 inches?
Answer:
42.08inches
Step-by-step explanation:
Given data
SIze of TV= 50 inch
Width= 27inches
Length= ??
Applying Pythagoras theorem
z^2= x^2+y^2
50^2= x^2+27^2
square root both sides
50^2= x^2+27^2
2500= x^2+ 729
2500-729=x^2
1771=x^2
x= √1771
x= 42.08
Hence the lenght is 42.08inches
HELPP!!! ALMOST OUT OF TIME
Answer:
option 2 is correct
Step-by-step explanation:
Another 2 btc please
Solve for r.
K=4r-7s
r=
Answer:
[tex]r=\frac{k+7s}{4}[/tex]
Step-by-step explanation:
Your neighbor's are building a dog pen in the shape of a right triangle. The legs of the triangular pen measures 9 meters and 12 meters. Find the perimeter of the enclosed space
HELP! PLEASEE I’ve been stuck!! I WILL GIVE BRAINLY,,, THANK YOU SM
Answer:
$119
Step-by-step explanation:
08:00 - 12:15 = 4hrs 15mins
13:00 - 17:15 = 4hrs 15mins
Total hours worked = 8hrs 30 mins
$14/hr
14 × 8 = 112
30 mins is half of an hour so 14/2 = 7
$7 for 30 mins
112 + 7 = 119
$119
hope this helps ^^
Question 5 of 10
How many solutions over the complex number system does this polynomial
have?
2x4 – 3x3 – 24.x2 + 13x +12=0
Enter your answer as an integer.
Answer:
4 solutions
Step-by-step explanation:
if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.
Name the postulate, if possible, that makes the triangles congruent. *
Answer:
answer is ASA
Step-by-step explanation:
two triangles are congruent by angle side angle theorem.
The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.
Answer:
-23, -24
Step-by-step explanation:
Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.
Find the 12th term of the geometric sequence 5, 20, 80, ...5,20,80
Answer:
a₁₂ = 20971520
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 5 and r = a₂ ÷ a₁ = 20 ÷ 5 = 4 , then
a₁₂ = 5 × [tex]4^{11}[/tex] = 5 × 4194304 = 20971520
Tell whether the triangles are similar.
Answer:
No.
Step-by-step explanation:
In similar triangles, all the angles are congruent.
b = 180 - 90 - 43 = 47
c = 180 - 90 - 48 = 42
1 set of angles is 90, 43, and 47
And the other is 90, 48, and 42.
Meaning the triangles are not similar.
Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.
Answer:
option b : 90 sq. cm
Step-by-step explanation:
1) Area of circle with radius = 12cm
Area = π r^2
= 3.14 * (12) (12)
= 3.14 * 144
= approx 452.4
2) Circumference of circle with radius = 12cm
Circumference = 2πr
= 2 * 3.14 * 12
= approx 75 .4
3) Arc length = 15cm ......(given)
[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]
[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]
[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]
[tex] = \frac{6786}{75.4} [/tex]
[tex] = 90 {cm}^{2} [/tex]
What clockwise rotation is equivalent to a 90° counterclockwise rotation?
Answer: 270°
Step-by-step explanation:
A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:
= 360 - 90
= 270°
If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.
g if we want to calculate a confidence interval of the difference of two proportions what is the standard error (do not pool for this answer)
Answer:
The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For the difference of proportions:
For proportion 1, the standard error is:
[tex]s_1 = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}}[/tex]
For proportion 2, the standard error is:
[tex]s_2 = \sqrt{\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]
For the difference:
The standard error is the square root of the sum of the squares of each separate standard error. So
[tex]s = \sqrt{(\sqrt{\frac{\pi_1(1-\pi_1)}{n_1}})+(\sqrt{\frac{\pi_2(1-\pi_2)}{n_2}})^2} = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]
The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.
Sam is practicing speed skating at an ice rink.The distance around the rink is 150 yards. He skated around the rink 5 times. How many feet did Sam skate
if 7x - 9 equals 15, what is the value of 7x +1
Answer:
25Step-by-step explanation:
First,
7x - 9 = 15
=> 7x = 15 + 9
=> 7x = 24
[tex] = > x = \frac{24}{7} [/tex]
Now putting its value in 7x + 1,
= 7x + 1
[tex] = 7 (\frac{24}{7} ) + 1[/tex]
[tex] = 7 \times \frac{24}{7} + 1[/tex]
= 24 + 1
= 25 (Ans)
which polygon matches this set of ordered pairs?
A (1,3),B(1,9),c(4,9),d(4,3)
Answer:
B
Step-by-step explanation:
What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?
Answer:
y = 3x - 17
Step-by-step explanation:
y - 3x = 2
y = 3x + 2
Parallel slope (m) = 3
Passes through (6, 1)
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = 3(x - 6)
y - 1 = 3x - 18
y = 3x - 17
In desperate need. for answer 11 and 12.
Question 11 has to have an answer with explanation and
Question 12 has 3 parts. I need answers to all three with explanations for all three.