Answer:
h = 28 inches
Step-by-step explanation:
Let the base of the triangle is b.
the height of the triangle is 4 inches less than four times its base.
h = 4b-4
The area of the triangle is 112 inch².
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]
It is a quadratic equation, whose solution is as follows :
b = -7 and b = 8 inches
Height, h = 4(8)-4
= 32-4
= 28 inches
Hence, the height of the triangle is 28inches.
Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.
The graph is called a parabola and either opens up or down.
The x-intercepts can be found by factoring and using the zero product property.
The "C" term is the y-intercept of the graph.
Answer:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
Step-by-step explanation:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
The x-coordinate of the vertex is -b/(2a)
The unit rate of fragance a is $ , and the unit rate of fragrance b is $
Answer:
Table
Bottles Price($)
3 78
6 156
9 234
From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.
That means that the unit rate of this fragance is $26.
If you call x the number of bottles the equation is
Price = unit rate * number of bottles = 26x.
Now compare this information with that on your graph to compare the unit rates.
This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =
[change in y-coordinate] / [change in the x-coordinate]
Step-by-step explanation:
Answer:
3 and 78
Step-by-step explanation:
Please answer all questions correct and fast for brainlest
Answer:
8. -3x+10
9. 9-4y
10. -7x+3
11. -3x+4+4y
Step-by-step explanation:
collect like terms :)
Answer:
8) -3x+10
9) 9-4y
10) -7x+3
11) -3x+4y+4
Help plz I don't wanna fail my diagnostic I already have full on C's I only have 1 week left I really need to go to the next grade :)
Answer:
hundreds
Step-by-step explanation:
what is 1/4 +1/4+1/2+1/4+1/2+1/8+1/8+1/2+1+1+1/4 simplified!!!!!
Answer:
[tex]4\frac{3}{4}[/tex]
4.75
Step-by-step explanation:
0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25
0.125 + 0.125 = 0.25
0.25 + 0.25 + 0.25 + 0.25 = 1
0.5 + 0.5 + 0.5 = 1.5
1 + 1 = 2
0.25 + 1 + 1.5 + 2
4.75
Answer:
The answer is 4 3/4
Hope this helps! good luck :)
(HELP)What is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer
Answer:
26cm
Step-by-step explanation:
7+7+6+6=26
Answer:
26 cm
Step-by-step explanation:
7x2 because of 2 sides
12x2 because of 2 sides
14+12=26
PLEASE HELPPP i would really appreciate it :)
Answer:
Y = - 12.55X1 + 276.52
Step-by-step explanation:
Given the data:
Age of child :(X) : 4, 6, 10, 13, 14, 17
Time (seconds) (Y) : 230, 205, 132, 119, 108, 62
Using technology, the linear regression equation obtained using the data Given is :
Y = - 12.55X1 + 276.52
Where :
Slope = - 12.55
Intercept = 276.52
This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.
The measure of an angle is 32.3°. What is the measure of its complementary angle?
Answer:
57.8 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90
Hey can you somebody help me with this problem
Step-by-step explanation:
sinx=20/36
x=sin-¹20/36
x=34
What’s the answer and how do you figure these out?
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
The sample mean and standard deviation :
Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s = 1.40 ( calculator)
Hypothesis :
H0 : μ = 2.4
H0 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11
Pvalue(1.071, 11) two - tailed
= 0.3069
= 0.307
1. Adam opened a savings account with
$250. He saves $300 per month.
Mandy opened a savings account
with $750. She saves $200 per
month. How much more will Adam
have in his savings account after 12
months?
Answer:
$700
Step-by-step explanation:
Adam = 250 +300(12)=3850
Mandy = 750+200(12)=3150
3850-3150=700
2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly?
Answer:
Step-by-step explanation:
Guss
Help!!!!!!!!!!! !!!!!
Answer:
D. 3900π
Step-by-step explanation:
volume = 1/3 πr²h ... r = 30, h = 13
v = 1/3 * 30² * 13 * π = 3900π
A right circular cone is a radius 5 inches and height 8 inch
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The given values are :
height (h) = 8 in radius (r) = 5 inWe know,
[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]
[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex][tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex][tex]l = \sqrt{64 + 25} [/tex][tex]l = \sqrt{89}[/tex]Now,
[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]
[tex]\pi \times 5 \times \sqrt{89} [/tex][tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]Therefore the correct answer is :
D. 5π√89 in²
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
How to calculate the lateral area of the cone?The formula for calculating the lateral area of the cone is expressed as:
V = 1/3πr²h
where:
r is the radiush is the heightGiven the following
r = 5in
h = 8n
Substitute
L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)
Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
Learn more on lateral area here: https://brainly.com/question/1601740
PLEASE HELP SOON
The diagram below shows vector v.
Given transformation matrix T = [-1 0 0 1], which diagram shows the application of T to v?
(pictures attached)
Answer:
A.
Step-by-step explanation:
[tex][6\:\:1]\begin{bmatrix}-1&0\\0&1 \end{bmatrix}=[6(-1) + 1(0)\:\:6(0)+1(1)]=[-6\:1][/tex]
Answer:
A on edge
Step-by-step explanation:
Solve the equation s - 12 = 20. ?
Answer:
s=32
Step-by-step explanation:
1. Move the constant to the right hand side and change it's sign so
s=20+12
2. Than calcuate s=20+12 which equals 32
so the solution is 32
a street light is mounted at the top of a 15-foot pole. A 6-foot tall man walks away from the pole along a straight path. How long is his shadow when he is 40 feet from the pole
Answer:
[tex]x=26.67[/tex]
Step-by-step explanation:
From the question we are told that:
Height of Pole [tex]h_p=15 foot[/tex]
Height of Man [tex]h_m =6ft[/tex]
Distance from Pole [tex]d_p=40ft[/tex]
Generally the equation for similar Property is mathematically given by
[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]
[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]
[tex]x=\frac{6*(40+x)}{15}[/tex]
[tex]x=\frac{240+6x}{15}[/tex]
[tex]x=16+0.4x\\x-0.4x=16[/tex]
[tex]x=16\0.6[/tex]
[tex]x=26.67[/tex]
What is the quotient of (2m4 +21m3 + 35m2 – 37m +45) = (2m + 7)?
Answer:
3rd option is the answer
Step-by-step explanation:
hope u understand
I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?
Answer:
Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.
Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?
Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355
Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.
Answer:
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 > 0
Test statistic = 3.96
Critical value = 1.67
Reject H0
We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans
Step-by-step explanation:
M= xbar1 = 191 ; M = xbar2 = 190 miles
n1 = 61 n2 = 61
s = 1.429 ; s2 = 1.355
Hypothesis :
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 > 0
Test statistic :
(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]
(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]
1 ÷ √[(0.0334760) + (0.0300987)]
1 ÷ √0.0635747
1 ÷ 0.2521402
= 3.966
Degree of freedom :
df = n - 1
df = 61 - 1 = 60
Critical value :
Tcritical at 0.05%, df = 60
Tcritical = 1.67
Decision region:
Reject H0 if Tstatistic > Tcritical
Since ;
3.96 > 1.67 ; We reject H0
We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans
Thank you for your help! Pls no links.
Answer:
Exactly 4 pitches: 15/100
= 0.15
Identify the qualitative data in a given study.
A miles per gallon for different cars
B styles of different cars
C number of cars that are sold
D average price of cars sold
Answer:
b
Step-by-step explanation:
the styles of different cars are qualitative because it is not given a number, just the different styles.
Hope this helps
final question of the 9 and with most of the point i can give so people dont pour in
Answer:
A=49 degree
a=13.5
b=11.7
Step-by-step explanation:
PLS HELP 30 POINTS
If the dimensions of the following cylinder are tripled, what factor will the volume change by?
81
27
3
9
Answer: 27
Step-by-step explanation:
A garden flower grows a total of 10 cm in July and August. Assuming that the flower grows at a consistent rate for a full year, how much will the flower grow in a year?
9514 1404 393
Answer:
60 cm
Step-by-step explanation:
July and August are 2 of the 12 months in the year. The growth for the year can be expected to be 6 times the growth in a 2-month period, so 60 cm.
_____
You could get down to particulars as to the number of days in those two months versus the total number of days in a year. You would have to specify whether it is a leap year. In a non-leap year, the growth might be ...
365/(31+31) × 10 cm ≈ 58.9 cm
In a leap year, it would be 59.0 cm.
In a survey 125 people, 90 people liked orange juice or grape juice. There are 62 people who like orange juice and 43 people who like grape juice. What is the probability that a randomly selected person likes both juices?
Answer:
0.12 = 12% probability that a randomly selected person likes both juices.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We solve this question treating these events as Venn probabilities.
I am going to say that.
Event A: Like orange juice.
Event B: Like grape juice.
In a survey 125 people, 90 people liked orange juice or grape juice.
This means that:
[tex]P(A \cup B) = \frac{90}{125}[/tex]
62 people who like orange juice and 43 people who like grape juice.
This means that:
[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]
What is the probability that a randomly selected person likes both juices?
This is [tex]P(A \cap B)[/tex], which is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].
With the values in this problem:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]
0.12 = 12% probability that a randomly selected person likes both juices.
Find the midpoint of the segment with endpoints of (3.5, 2.2) and (1.5, -4.8)
and enter its coordinates as an ordered pair. If necessary, express
coordinates as decimals.
Answer:
(2.5, -1.3)
Step-by-step explanation:
x = (3.5 + 1.5) / 2
x = 5/2
x = 2.5
y = (2.2 - 4.8) / 2
y = -2.6/2
y = -1.3
(2.5, -1.3)
50 POINTS !
PLEASE HELP ILL GIVE BRAINLIEST !!
FAKE ANSWERS WILL GET REPORTED.
Answer:
2.6457513110645905905016157536393
Hope that this helps!
Answer:
2m is the answer for the missing leg
Step-by-step explanation: