Answer:
y=-7/4x+5
Step-by-step explanation:
The line contains points at (4,-2) and (0,-5)
(y1-y2) / (x1-x2) = slope
(4,-2) =(x1,y1)
(0,-5) = (x2,y2)
(-2-5) / (4-0)
-7 / 4 = -7/4
y= -7/4x + b
plug in points for x and y to find b
-2=-7/4(4)+b
-2=-7+b
5=b
y=-7/4x+5
9. What is the volume of this cube? (2 pts.) Show your work here.
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
What's the value of x
(3x-5) and (x+10)
Estimate by rounding each mixed number to thenearest whole number 5 1/3 - 3 7/9
Answer:
1.6 or 2?
Step-by-step explanation:
5-3 =2
1/3 - 7/9 LCD
3/9 - 7/9 =-4/9
2-4/9 = 1 5/9
16/3-34/9 LCD
1 5/9 = 1.5555555555 rounded is 1.6 or 2? Not sure if decimals count.
Please help me ASAP
What is 0.64 divided by 248?
Answer:
0.00258064516
Step-by-step explanation:
Answer:
0.64 divided my 248 = 0.00258064516129
the problem is set up incorrectly what you should have put is 248 divided my 0.64 the answer to that is = 387.5
Your welcome!
Step-by-step explanation:
help me i am gonna give points to the people give me correct answer
Answer:
lol
Step-by-step explanation:
Answer:
Arjan should look for other cards that add up to $$94%
Step-by-step explanation:
I don't know it but I guess this one, let me know if it help
Can you guys help plsssss I’m tireddddd
Answer:
#8 - 52°, #9 - 29°
Step-by-step explanation:
8. The two angles added together are a straight line, so they sum up to 180 degrees.
x + (2x + 24°) = 3x + 24° = 180°
3x + 24° = 180°
3x = 156°
x = 52°
9. Similar to #8. "Supplementary" means they add up to 180° (whether they are actually next to each other or not).
So, 4x + (2x + 6°) = 180°
6x + 6° = 180°
6x = 174°
x = 29°
Hope this helps. Get some rest. Zzzzz :)
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping. (a) One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. *** Complete sentences
Answer:Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Step-by-step explanation:
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
274
Step-by-step explanation:
Hey There!
So if you didnt know the median is the middle number ( in value) of the set
So first we would like to arrange the numbers in order from least to greatest
187 , 199 , 211 , 250 , 298 , 331 , 347 , 362
Then we take the middle number(s)
if there is just one then that is the answer but if there is two than we add them together and divide that by 2
In this case there are two which would be 250 and 298
So we add them together
250+298=548
Then we just divide that by 2
[tex]\frac{548}{2} =274[/tex]
Therefore the median is 274
hope this helps :)
Step-by-step explanation:
l hope this answer is helpful to you
Dont know this question I am 2nd grade math 2 quarters = how many coins
Answer:
Well, 2 quarters are 2 coins. But, if you are asking the value of 2 quarters, then your answer will be, 50.
Step-by-step explanation:
So, 1 quarter = 25 cents. So that means that, 25 x 2 or 25 + 25 = 50. So, your answer will be 50. Hope that helps! :)
Answer:50
Step-by-step explanation:if a quarter equals 25cents and you have 2 quarters,you have to add .25+25 that equals 50 this is a simple way to do it.
The range of F(x) = 6x3^x is all positive real numbers,
Compare the areas. What is the ratio of the areas? SHOW YOUR WORK
Answer:
Ratio of the area of MIKE to TEAM = 9 : 1
Step-by-step explanation:
Ratio of similar shapes = square of the ratio of their corresponding sides
Since TEAM ~ MIKE, therefore the ratio of their areas = square of the height of MIKE : square of the height of TEAM
Ratio = 33² : 11²
Ratio = 1089 : 121
Ratio = 9 : 1
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90
Answer:
0.7(85+)-74.90
Step-by-step explanation:
Answer:
D - 0.7(85+)-74.90
Step-by-step explanation:
Got 100% on the quiz! Have a good day!! :)
The point D(-3, 1) is reflected over the x-axis. What are the coordinates of the resulting point, D′?
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Step-by-step explanation:
For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
. Robbie decides to make 12 batches of chicken noodle soup. How much ground black pepper should he use? ( THERE ARE 1/8 TEASPOON OF GROUNDPM PEPPER IN ONE BATCH) pls put in fraction form
the answer for your question is 1 1/2
find the slope of the line through the points (10,6) and (-1,8)
Answer:
-2/11
Step-by-step explanation:
On three days, Ben throws darts at a target.
Here are his results.
Number of hits
Number of misses
30
10
Number of throws
Monday
40
Tuesday
30
Wednesday
50
Total
120
18
12
36
14
84
36
(1)
a) Use Tuesday's results to estimate the
probability of Ben hitting the targe.
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
c) Which estimate would give the most reliable probability?
A- the one from Tuesday or B - the one from the Total?
(1)
(1)
Total marks: 3
Answer:
0.6 ;
0.7
Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)
Step-by-step explanation:
Probability of hitting the target using Tuesday's result :
P(hitting the target):
Probability = required outcome / Total possible outcomes
Required outcome = number of hits = 18
Total possible outcomes = number of throws =. 30
Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6
B.)
Probability of hitting the target using Total result:
Required outcome = number of hits = 84
Total possible outcomes = number of throws =. 120
= 84 / 120
= 0.7
Joe has 16 pounds of fertilizer for his three gardens. He uses ⅜ of the fertilizer in his first garden and ¼ of the fertilizer in his second garden. What fraction of the fertilizer is left for the third garden? *
Answer:
3/8
Step-by-step explanation:
3/8 of 16 is 6
1/4 of 16 is 4
6+4 = 10
16-10 = 6
3/8 of 16 = 6
what are the special purpose books?
Answer:
hi Plz Subscribe Sameer Duos Channel
Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election. They surveyed 650 randomly selected community college students and found that 55% of them plan to vote.
Which of the following are the appropriate null and alternative hypotheses for this research question?
A)
0: =0.50
: ≠0.50
B)
0: =0.50
: >0.50
C)
0: =0.55
: ≠0.55
D)
0: =0.55
: >0.55
Answer is:
B
Answer:
[tex]H_{0} = 0.5[/tex]
[tex]H_{a} > 0.5[/tex]
Option b
Step-by-step explanation:
Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election.
The null hypothesis is always an equalityu related to the expected, or tested value. In this question, the tested value is half of the students, a proportion of 0.5, that is: [tex]H_{0} = 0.5[/tex]
The alternate hypothesis is related to the test we are taking. In this question, we are testing if the majority of the students plan to vote, that is, if the proportion of the students that plan to vote is higher than 0.5. So [tex]H_{a} > 0.5[/tex]
So the correct answer is given by option B.
Can someone please help and thank you:)
Can some on help me not sure thanks
Answer:
13 I think
Step-by-step explanation:
So basically all i did was double what the gate had. 5=15 3=13 I dont know if that makes lol
Solve the question f/3+22=17
Answer:
f=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Answer:
f=−15
The value of the variable f for the given expression is f=-15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is f/3+22=17. The value of f will be calculated as:-
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Hence, the value of f will be -15.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
Factor
2x3 + 6x2 - 36x
Answer:
23+62−36
2(3+32−18)
Step-by-step explanation:
3.26 From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. Find the probability distribution for the number of green balls.
Answer:
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]Green = 2[/tex]
[tex]r = 3[/tex] --- selected balls (with replacement)
Required
Determine the probability distribution for the green balls.
Let x be a [tex]random\ variable[/tex] such that:
[tex]x = 0, 1, 2, 3[/tex]
Because it is a selection with replacement
The probability of a green ball being drawn is always:
[tex]P(G) = \frac{Green}{Total}[/tex]
[tex]P(G) = \frac{2}{6}[/tex]
[tex]P(G) = \frac{1}{3}[/tex]
The probability of a black ball being drawn is always:
[tex]P(B) = \frac{Black}{Total}[/tex]
[tex]P(B) = \frac{4}{6}[/tex]
[tex]P(B) = \frac{2}{3}[/tex]
So, the probability distribution of green is:
[tex]P(X = x) = (P(B))^{3-x} * (P(G))^x[/tex]
[tex]P(X = x) = (\frac{2}{3})^{3-x} * (\frac{1}{3})^x[/tex]
Apply law of indices
[tex]P(X = x) = \frac{2^{3-x}}{3^{3-x}} * \frac{1^x}{3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1^x}{3^{3-x}*3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^{3-x+x}}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^3}[/tex]
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Need help and answer if you know it please
3x +2y=10 4x-y=6 using substitutional method
Answer:
( 2 , 2 )
Step-by-step explanation:
Solve the eqaution :
3x +2y=10
4x-y=6
Solve the eqaution for y :
3x + 2y = 10
y = -6 + 4x
Substitute for y : 3x + 2 ( -6 + 4x ) = 10
x = 10
Substitute for the value of x : x = 2
Substitute the given value of x into the eqaution
y = -6 + 4x : y = -6 + 4 × 2
Solve the eqaution: y = -6 + 4 × 2
solve the eqaution for y : y = 2
y = 2 A possible solution : the ordered solution pair is
( 2 , 2 )
HELP !!!!!!!!!! PLEASEEEEEEE
Answer:
13.825, 13, -13 25/40
Answer:
13.825, 13, and -13 25/40
Step-by-step explanation:
Hope this helps :)