A firefighter is on the fifth floor of an office building. She needs to throw a rope into the window on the seventh floor, 40 feet above her. If she throws the rope upward with an initial velocity of 36 ft/s, will the rope get to the window.
Answer:
no, it wont
Step-by-step explanation:
2g.h = v²
2(33)(40) = v²
2640=v²
v=√2640 = 51.38 ft/s
36 < 51.38
so, the rope will not get to the window
Consider the following data that represents gas mileages per gallon (mpg) of randomly selected cars of a particular brand.
28 32 23 28 24 36 31 34 25 28 29 23 25
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg. Compute the p-value.
Answer:
The p-value is 0.1228.
Step-by-step explanation:
Before testing the hypothesis, we need to find the sample mean and the standard deviation.
Sample of 13:
The sample mean is the sum of all values divided by 13. Using a calculator, it is: X = 28.15.
The sample standard deviation is the square root of the division of the sum of the differences squared between each value and the mean, by the number of values. Using a calculator, we get s = 4.0162.
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg.
At the null hypothesis, we test if the average gas mileage is of 30 mpg, that is:
[tex]H_0: \mu = 30[/tex]
At the alternate hypothesis, we test if the average is different from 30, that is:
[tex]H_1: \mu \neq 30[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
30 is tested at the null hypothesis:
This means that [tex]\mu = 30[/tex]
From the sample:
[tex]X = 28.15, s = 4.0162[/tex].
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{28.15 - 30}{\frac{4.0162}{\sqrt{13}}}[/tex]
[tex]t = -1.66[/tex]
P-value of the test:
The p-value of the test is the probability that the sample mean differs from 30 by at least |28.15 - 30| = 1.75, which is a two-tailed test with t = -1.66 and 13 - 1 = 12 df.
Using a t-distribution calculator, this p-value is 0.1228.
Lesley purchased 5 beads at a total cost of 80 cents. The round beads cost 15 cents each, and the oval beads cost 20 each. The equations and graph below can be used to determine the number of each type of bead kesley purchased. Where x represents the number of round beads and y represents the number of oval beads. What are the numbers of round and oval beads Kelsey purchased?
Answer:
Lesley purchased 1 oval bead and 4 round beands.
Step-by-step explanation:
Given that Lesley purchased 5 beads at a total cost of 80 cents, and the round beads cost 15 cents each, and the oval beads cost 20 each, to determine what are the numbers of round and oval beads Kelsey purchased, the following calculation must be performed :
5 x 0.20 + 0 x 0.15 = 1
4 x 0.20 + 1 x 0.15 = 0.95
2 x 0.20 + 3 x 0.15 = 0.85
1 x 0.20 + 4 x 0.15 = 0.80
Therefore, Lesley purchased 1 oval bead and 4 round beands.
I need the answer fast pls
Answer:
the answer would be none because there is only one of each number
Step-by-step explanation:
Identify the hypothesis of the statement.
If a and b are positive, then a−b is positive.
If a−b is positive, then a and b are positive.
a−b is positive.
a and b are positive.
If a and b are positive, then a−b is positive.
9514 1404 393
Answer:
a and b are positive.
Step-by-step explanation:
The form is ...
IF <hypothesis>, THEN <conclusion>
The hypothesis is the wording between IF and THEN. In your given statement it is ...
a and b are positive
to 43. The height of a television varies directly with its
8 width. If a television has a height of 27 inches
and a width of 48 inches, identify the constant of
ne variation and write an equation to represent the
relationship
cof
Answer:
The answer is 29.
Step-by-step explanation:
Find the length of side BC.
Give your answer to 1 decimal plac
C
14 cm
58°
A
B.
Answer:
B
Step-by-step explanation:
mutiply
What is the slope of the line through the points (-8, 4) and (4, 4)?
Answer:
slope=0
hope this helps
have a good day :)
Step-by-step explanation:
What is g(x)=-5x+3 if “x” is 9
Answer:
-40
Step-by-step explanation
-5(9)+3 =
-43+3 = -40
Please help! Math work!
Answer:
The first one is exponential, the second one is linear, and the last one is quadratic.
Step-by-step explanation:
The first one is exponential, because the values are increasing at an increasing rate. In other words, the difference between any consecutive x-values yield a bigger difference.
The second one is linear, because the values are increasing at a constant rate.
The last one is quadratic, because the values decrease, and then increase, which can be represented by a parabola for a quadratic equation.
Find the value of x. Express your answer in simplest radical form.
Answer:
Option D
Step-by-step explanation:
GIVEN :-
Length of hypotenuse = 5 unitsLength of both the legs of the triangle = x units.TO FIND :-
Value of xFACTS TO KNOW BEFORE SOLVING :-
Pythagoras Theorem states that measure of :-
Hypotenuse² = Base² + Perpendicular²
SOLUTION :-
The triangle given in the question is a right-angled triangle. So , Pythagoras theorem can be applied in it.
[tex]=> 5^2 = x^2 + x^2[/tex]
[tex]=> 2x^2 = 5^2[/tex]
[tex]=> x^2 = \frac{5^2}{2}[/tex]
[tex]=> x = \sqrt{\frac{5^2}{2} } = \frac{5}{\sqrt{2} }[/tex]
Rationalizing the value ,
[tex]=> x = \frac{5}{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}[/tex]
what is the answer to 5(10.5 + s)?
Ok so when a parenthesee or this symbol ( is beside a letter/Number, in this case 5 you multiply it by whats inside, so 5x10.5, and 5x10.5=52.5. Now for S, it would be 52.5+S.
That is your answwer, and if you wouldn't mind, could I have brainliest?
What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters
Answer:
la alianza b valorarlo Lampazos puntualizó
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
13 ft
14 ft
15 ft
What is the diameter of a hemisphere with a volume of 5990in^3 to the nearest tenth of an inch?
Answer:28.4
Step-by-step explanation:
Delta Math
The diameter of the asked hemisphere is 28.38 in.
What is hemisphere?The half of a sphere is called a hemisphere.
Given that, a hemisphere with a volume of 5990 in³
Volume of a hemisphere = 2/3πr³
2/3πr³ = 5990
r³ = 5990x7x3/22x2
r³ = 125790/44
r³ = 2858.8636
r = 28.38
Hence, The diameter of the asked hemisphere is 28.38 in.
For more references on hemisphere, click;
https://brainly.com/question/24402286
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arrange the following decimal fractions from smallest to biggest
7,01
0,701
0,71
7,34
7,0101
71,01
7,034
Answer:
0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01
Step-by-step explanation:
Raj builds a side table in the shape of a cube. Each edge of the cube measures 21 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?
Pls answer fast
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
Please help will mark as brainliest if correct
Answer:
B) 29.6°
Step-by-step explanation:
it's a right triangle so you can use SOA CAH TOA
in this case we would use cosine because we know the adjacent and the hypotenuse
arccosФ = 20/23 = 29.59
What is the solution set for this inequality?
-3x + 10 > 22
A. X >-4
B. X <-4
C. X>4
D. X <-4
Nee
Answer:
X<-4
Step-by-step explanation:
-3x+10>22
subtract 10 to both sides
-3x>12
divide by -3 on both sides
when you divide by a negative number you flip the sign so the answer will be x<-4
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
8560.75
Answer:
apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11
x divided by 6 plus 11 = 14
show steps
what is x
Answer:
x=18
Step-by-step explanation:
[tex] \frac{x}{6} + 11 = 14[/tex]
[tex] \frac{x}{6} = 3[/tex]
x=6×3
x=18
plz mark as brainliest
Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial
Classification:
Monomial: One term
Mono = One
Polynomial: Multiple terms e.g. (2,3,4 and so on)
Poly: Many
Binomial: Two terms
Bi = Two
Trinomial: Three terms
Tri = Three
The expression of "mx + b" would be classified as a monomial due to it having only one exponent.
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.
Answer:
[tex]h(x) = 57(0.8)^x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 32(0.8)^x[/tex]
[tex]g(x) = 25(0.8)^x[/tex]
Required
A function that represents the total resale value of the two vehicles
To do this, we simply add up the functions
[tex]h(x) = f(x) + g(x)[/tex]
[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]
Factorize
[tex]h(x) = (32 + 25)(0.8)^x[/tex]
[tex]h(x) = 57(0.8)^x[/tex]
POLYNOMIAL 2) How many total zeros would the function f(x)=2x^5−3x^3+x have?
a 1
b 2
c 4
d 5
Answer: 5
Step-by-step explanation: I used m.athway
If Savannah is throwing a party but only has 18 rooms in her house and each room can only fit x people. What expression should Savannah use to find out how many people she can invite?
Answer: 18x
___________________________________
Eugene has three six‐sided dice that he rolls simultaneously. The faces of the dice
contain these letters:
Die #1: A B C D E F
Die #2: G H I J K L
Die #3: M N O P Q R
a. What is the probability that he will roll three vowels? (3 points)
b. What is the probability that he will roll the word DIP?
Answer:
a. The probability is 1 of 108 that he will roll 3 vowels
b. the probability is 1 of 216 that he will roll the word DIP.
Step-by-step explanation:
a. find the 3 chances and multiply
2/6 x 1/6 x 1/6 = 1/108
b. Find the 3 chances of each letter of DIP and multiply
1/6 x 1/6 x 1/6 = 1/216
Hope this helps! (PLS GIVE BRAINLIEST)
solve 1/4 n + 7 = 10 what n= ?
Answer:
n=12
Step-by-step explanation:
1/4n+7=10
n+28=40
n=12
One out of every five students in this class has an A. What percent of the students have an A?
*** PLEASE HELP ASAP!!* Kayla used a piece of cardstock with an
area of 6x^2 + 12x + 4 square units to cut
out heart shaped cards for her classmates. If
the hearts shown have a combined area of
2x^2 - 8x + 8 square units, write an expression
to represent the area of
the gray region, the unused
portion of cardstock.
SOLUTION:
HOW DO YOU KNOW?
Answer:
This should be 4x - 8x + 8
Step-by-step explanation:
Solve the equation of 4y=20 then find the value of y?
Answer:
y=5
Step-by-step explanation:
Answer:
4y=20
y=20/4
y=5
Step-by-step explanation:
Hope this helps u!!