Answer:
The slope of the line [tex]m = -\frac{1}{2}[/tex]
The point ( x₁ ,y₁) = ( 2,1)
Step-by-step explanation:
Explanation:-
Given that the line
[tex]y -1 = -\frac{1}{2} ( x-2)[/tex]
Comparing y- y₁ = m(x-x₁)
The slope of the line [tex]m = -\frac{1}{2}[/tex]
The point ( x₁ ,y₁) = ( 2,1)
The equation of the straight line
[tex]y -1 = -\frac{1}{2} ( x-2)[/tex]
2(y-1) = -(x-2)
2y -2 = -x +2
x + 2y -2-2=0
x +2y -4=0
Final answer:-
The equation of the straight line x+ 2y-4=0
The slope of the line [tex]m = -\frac{1}{2}[/tex]
The point ( x₁ ,y₁) = ( 2,1)
help please will give a thanks !!
Answer:
7/9, -0.3, 11/2
Step-by-step explanation:
Answer:
7/9, -0.3, 11/2
Step-by-step explanation:
1. The cost of a chair is $315. Find the cost of 27 such chairs.
Answer:
$8505
Step-by-step explanation:
315 x 27 = $8505
Answer:
8505
Step-by-step explanation:
315 times 27 = 8505
Last tuesday a doughnuts store sold 20 bavarian cream, 60 glazed, 15 chocolate
and 25 rainbow sprinkles doughnuts. What is the ratio of bavarian cream to
chocolate doughnuts?
Answer:
Step-by-step explanation:
b:g:c:r = 20:60:15:25 = 4:12:3:5
b:c = 4:3
20 - 2x, if x =10
pls i need help
Answer:
0
Step-by-step explanation:
20 - 2x, if x = 10
First, plug in 10 for each value of x.
20 - 2(10) = ?
Next, multiply 2 and 10 due to PEMDAS. (parentheses/exponents, multiplication/division, addition/subtraction)
20 - 20 = ?
Now, subtract.
= 0
Hope this helps!
9. An internet provider charges an install fee of $59 and a monthly fee of
$109. The total bill was $495. Write an equation to find out how many
months were paid for.
what is the quotient of 6,726 and 19
Answer:
354
Step-by-step explanation:
I'm smart............
Convert y=-3/2x-2 into Standard Form. Make sure to show your work.
Answer:
2y+3x=-4
Step-by-step explanation:
2y=-3x-2x2
2y+3x=-4
Brian has a melon that weighs 3 pounds. He cuts it into six equal pieces .how many ounces did each piece weigh?
Answer:
8 oz
Step-by-step explanation:
1 lb = 16 oz
3 lb = 3 * 1 lb = 3 * 16 oz = 48 oz
The melon weighs 48 oz.
48 oz / 6 = 8 oz
Answer: 8 oz
Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut?
Answer:
12 whole pieces and 12.5 pieces if you don't want a whole answer. :P
Step-by-step explanation:
Do 5 / (2/5) = 5 x (5/2) = 25/2 = 12 1/2 OR 12.5. Again, if you want a whole number, 12 whole pieces.
Hope that helps!
John removed 64 fish from his pond over a period of 8 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Suppose X is a normally distributed random variable with mean 0 and variance 1 (i.e., standard normal).
Compute the following (Hint: you can use the R functions pnorm and qnorm to answer these questions).
P r(X < 1:96)
P r(X > 1:64)
P r(0:5 < X < 0:5) 1% quantile, q:01 and 99% quantile, q:99 ? 5% quantile, q:05 and 95% quantile,
Answer:
[tex]P(X <1.96) = 0.975[/tex]
[tex]P(X >1.64) = 0.0505[/tex]
[tex]P(0.5 < X < 0.5) = 0[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 0[/tex] --- Mean
[tex]\sigma^2 = 1[/tex] --- Variance
Calculate the standard deviation
[tex]\sigma^2 = 1[/tex]
[tex]\sigma = 1[/tex]
Solving (a): P(X < 1.96)
First, we calculate the z score using:
[tex]z = \frac{X - \bar x}{\sigma}[/tex]
This gives:
[tex]z = \frac{1.96 - 0}{1}[/tex]
[tex]z = \frac{1.96}{1}[/tex]
[tex]z = 1.96[/tex]
The probability is then solved using:
[tex](X < 1.96) = P(z <1.96)[/tex]
From the standard normal distribution table
[tex]P(z <1.96) = 0.97500[/tex]
So:
[tex]P(X <1.96) = 0.975[/tex]
Solving (b): P(X > 1.64)
First, we calculate the z score using:
[tex]z = \frac{X - \bar x}{\sigma}[/tex]
This gives:
[tex]z = \frac{1.64 - 0}{1}[/tex]
[tex]z = \frac{1.64}{1}[/tex]
[tex]z = 1.64[/tex]
The probability is then solved using:
[tex](X > 1.64) = P(z >1.64)[/tex]
[tex]P(z >1.64) = 1 - P(z<1.64)[/tex]
From the standard normal distribution table
[tex]P(z >1.64) = 1 - 0.9495[/tex]
[tex]P(z >1.64) = 0.0505[/tex]
So:
[tex]P(X >1.64) = 0.0505[/tex]
Solving (c): P(0.5 < X < 0.5)
This can be split as:
[tex]P(0.5 < X < 0.5) = P(0.5<X) - P(X<0.5)[/tex]
In probability:
[tex]P(0.5<X) = 1 - P(X>0.5)[/tex]
[tex]P(0.5<X) = 1 - [1 - P(X<0.5)][/tex]
[tex]P(0.5<X) = 1 - 1 + P(X<0.5)[/tex]
[tex]P(0.5<X) = P(X<0.5)[/tex]
[tex]P(0.5 < X < 0.5) = P(0.5<X) - P(X<0.5)[/tex] becomes
[tex]P(0.5 < X < 0.5) = P(X<0.5) - P(X<0.5)[/tex]
[tex]P(0.5 < X < 0.5) = 0[/tex]
a train moves 12 miles in 18 minutes. of the train maintains that speed for 75 minutes, how many miles will it travel.
Answer:
112.5
Step-by-step explanation:
18 divided by 12 is 1.5
then multiply 1.5 and 75
1.5 x 75 = 112.5
very sorry if this is wrong
18 min=12 miles
1 min=12/18
75 min=12/18×75
if you simplify well you get,
75 min=46 miles
Sara and Laura each have a bag containing 2 blue, 3 red, 4 yellow, and 1 green marble. Sara replaces marbles after each draw. Laura does not replace marbles after each draw. Find the probability of Laura drawing a red and then another red marble.
A.
5/19
B.
9/100
C.
3/10
D.
1/15
Directions: Identify the slope (m) and y-intercept (b) of the graph of each equation.
y = -3x– 11
Answer:
slope=-3 y inter=-11
Step-by-step explanation:
Answer:
Slope: -3
y-intercept: (0, -11)
Step-by-step explanation:
Triangle ABC is reflected across y = -2, What are the coordinates of A after the reflection?
PLEASE I RLLY NEED HELP WITH THIS I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY PLS AND TY
Answer:
The attached graph shows my answer.
Step-by-step explanation:
The graph has to start at the top because the number of carrots has to decrease and the graph slants down to the right because the time has to increase. Then the situation says that he eats one carrot at a time until half are eaten. The graph shows the line going down until approximately half. Then he doesn't eat any more, so the line is horizontal until the end of the graph to show no change.
11. In another country, a road sign reads "80
kilometers to the next gas station". How
far is that distance to the nearest mile?
A 40 mi
C 62 mi
B 50 mi
D 98 mi
please help quick!
2x+y=5, x+y=2. solve graphically
3y - 7 + 5 - 4y + 9y
Answer:
8y-2
Step-by-step explanation:
An arrow is shot at 30.0° above the horizontal. Its velocity is 49 m/s, and it hits the target.
What is the maximum height the arrow will attain?
Answer:
30.625 m
Step-by-step explanation:
Maximum Height :
(u²sin²θ) / 2g
u = 49 m/s
θ = 30°
g = 9.8m/s
(49² * 0.5²) / 2 * 9.8
600.25 / 19.6
= 30.625 m
(X+3) (x+4)
Multiplying binomials
Work out
107.2% of £85.12
Give your answer rounded to 2 DP.
eighty-one
is to nine Forty-nine is to
HELP NOW SUPER EASY PLEASE HELP
Answer:
other pp; r right
Step-by-step explanation:
Point M is located at (3, -5). Point N is the reflection of point M across the x-axis. What is the distance between M and N? In what quadrant is point N?
Answer:
the point will be (3,5)
will be in the first quadrant
and the distance between the 2 points is 10
What is the answer??????????????
If a point A has coordinates (1,2) and point B has coordinates (9,8), what is the distance between points A and B?
Distance between the 2 points is 10.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]\sqrt{(x2-x1)^2+(y2-y1)^2} \\[/tex]
Substitute the actual values of the points into the distance formula.
[tex]\sqrt{(9-1)^2+(8-2)^2}[/tex]
Simplify,
[tex]\sqrt{100}[/tex]
Rewrite
[tex]\sqrt{10^2}[/tex]
Pull terms out from under the radical, assuming positive real numbers.
10
good luck, hope this helps :)
Can someone create and solve a multiplication problem to show that the product of a whole number and a fraction will be equal to the whole number?
Answer:
12
Step-by-step explanation:
A serving of four home baked chocolate chip cookies weigh 50 grams and contains 12 grams of fat. What is the ratio in lowest terms of fat grams to total grams?
Answer:
Good luck
Step-by-step explanation:
(50) half it
(25) (25)
(12) (12)
(12.5) (12.5) (12.5) (12.5)
(12) (12) (12) (12)
0.5 + 0.5 + 0.5 + 0.5 = 2 (0.5= 1/2 or 0.5 or 0.50)
more examples: (2/4) (3/6) (4/8) (5/10)
So you are gonna have four holes and two twelves
(12/12) (12/12) (12/12) (12/12) (2/12)
The ratio of fat to total weight in the lowest form is 25 : 6.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Four Home-baked chocolate chip cookies weigh 50 grams and contain 12 grams of fat.
We know a/b can be written in ratio form as a : b.
∴ Fat/Total weight = 50/12.
Fat/Total weight = 25/6.
Fat : Total weight = 25 : 6.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
1. Tim works as a cook for a food truck at carnivals. He makes $12.00 per hour and worked 36 hours this
weekend. How much did he earn this weekend?(Make sure you use a dollar signs and decimals for cents o
all questions.)
Answer:
$432.00
Step-by-step explanation:
12 x 36 = 432