Answer:
250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
Step-by-step explanation:
Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:
100 x 0.6 + 0 x 0.92 = 60
90 x 0.6 + 10 x 0.92 = 63.2
80 x 0.6 + 20 x 0.92 = 66.4
70 x 0.6 + 30 x 0.92 = 69.6
65 x 0.6 + 35 x 0.92 = 71.2
63 x 0.6 + 37 x 0.92 = 71.84
62.5 x 0.6 + 37.5 x 0.92 = 72
400 x 0.625 = 250
Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
Write the formula for slope, for the point-slope
form of a line, and for the slope-intercept form of a
line.
If your car gets 25 miles per gallon, how much does it cost to drive 410 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
410/25 = 16.4 gallons of gas
16.4*$3.40 = $55.76
Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|
Step-by-step explanation:
a. 4×|-8| = 4×8 =32
b. 2×3+4×7= 6+28 = 34
c. 8×2-6 = 10
d. 5×4+2×6 = 32
Someone Please Help I Need the awnser
Answer:
x=53
Step-by-step explanation:
2x-24=82(alt.ext.∠)
2x=106
x=53
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.
Answer:
★ Given :
Area of triangle = x² + 8x + 12 cm²
length = (x+6)cm
★ To show :
breadth = (x+2) cm
★ Solution :
We know that,
Area of a rectangle = length × breadth
by putting values
(x² + 8x + 12) = (x+6) × breadth
by diving (x² + 8x + 12) into factors
using middle term splitting
x² + 6x + 2x + 12
x(x+6) + 2(x+6)
= (x+2)(x+6)
(x+2)(x+6) = (x+6) × breadth
Hence, verified..
Answer:
hope it helped have a good day mate
Can someone help me and please explain how you got the answer so I can learn?
Answer:
70
Step-by-step explanation:
Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
Answer:
The equation of the Parallel line to the given line is 5x+y-7=0
Step-by-step explanation:
Explanation:-
Given that the line y = - 5x+4 and point (1,2)
The equation of the Parallel line to the given line is ax+by+k=0
Given straight line 5x + y -4 =0
The equation of the Parallel line to the given line is 5x+y+k=0
This line passes through the point (1,2)
5x+y+k=0
5(1)+2+k=0
⇒ 7+k=0
k =-7
Final answer:-
The equation of the Parallel line to the given line is 5x+y-7=0
What is the growth?
What is figure 0?
Y=( )X+( )
Can someone help me too those answers I have no clue
Answer:
Figure 0 = 67 Square Units
Step-by-step explanation:
Its correct, I took the test!
Find the indicated measurement
Answer:
11.2
Step-by-step explanation:
Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.
Put one side length over another and equak to the corresponding side lengths of the other triangle:
28/15=?/6
?=6(28/15)=11.2
Six friends share a 15 ounce bag of Skittles equally. Between what two whole numbers of ounces will each person get?
1. 3 and 4
2. 2 and 3
3.1 and 2
4. 0 and 1
Answer:
2. 2 and 3
Step-by-step explanation:
15 ÷ 6 = ?
15 ÷ 6 = 2.5
2, 2.5 , 3
A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile.
Answer:
The value that corresponds to the 75th percentile is 16.35.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A normal distribution has a mean of 15 and a standard deviation of 2.
This means that [tex]\mu = 15, \sigma = 2[/tex]
Find the value that corresponds to the 75th percentile.
This is X when Z has a pvalue of 0.75. So X when [tex]Z = 0.675[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 15}{2}[/tex]
[tex]X - 15 = 2*0.675[/tex]
[tex]X = 2*0.675 + 15[/tex]
[tex]X = 16.35[/tex]
The value that corresponds to the 75th percentile is 16.35.
Mark buys $65 worth of of building supplies. He uses a 25% off coupon. What will be the new price?
Answer:
Step-by-step explanation:
65(1-25/100)
65(75/100)
65(.75)
$48.75
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
Answer:
64.5°
25
Step-by-step explanation:
64.5° (If they are similar, they have the same angle measurements).
You can figure out z by using ratios.
6/10=15/z
cross multiply
150=6z
150÷6=z
z=25 (Although, there is a problem with this. If you use the Pythagorean theorem to find z, you get 28.8).
In the first quadrant, you start at (10,7)
and move 8 units left and 5 units up
What point will you end up on?
Answer: ( 2,12 )
Step-by-step explanation:
thank you in advance!!
Answer:
Fourth option: y = 2/5x - 3
Step-by-step explanation:
it is perpendicular :)
Answer:
Your answer y=-5/2x + 6
Mark it as brainlist answer. As soon as possible.
Which line is the line of reflection?
Answer:
b
Step-by-step explanation:
because those two triangles are face to face
em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?
Answer:
Average speed in km / h = 2.7 km/h
Step-by-step explanation:
Given:
Total distance = 54,000 m
Total time = 72,000 sec
Find:
Average speed in km / h
Computation:
Average speed = Distance / Time
Average speed = 54,000 / 72,000
Average speed = 0.75 m/s
1 m/s = 3.6 km/h
So,
Average speed in km / h = 0.75 x 3.6
Average speed in km / h = 2.7 km/h
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips.
Compute the following probabilities:
P(A∩B)
P(B)
P(A|B)
Solution :
[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]
[tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]
= 0.0836
P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)
[tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]
[tex]$=0.0836+0.0684+0.0294$[/tex]
[tex]$=0.1813$[/tex]
P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]
[tex]$=\frac{0.0836}{0.1813}$[/tex]
[tex]$=0.4611$[/tex]
Write the equation of the line. , ILL MARK BRAINLIST
Step-by-step explanation:
line equation
we know that the equation on the line is given by y equals MX plus b, where M & B are numbers it's is its slope and b is it's y - intercept.
in order to find the equation we must find m and b.
we are going to use two points where the line crosses, in the figure we can see that it crosses points
(0, 4) and (2,1).
staff one first, we change of each variable from point 1 to point to
then, our equation should look like
y = -3/2x + 4
What is the distance between 120 and -130 on a number line?
Answer:
250
Step-by-step explanation:
120 is 120 spaces from zero
-130 is 130 spaces from zero
130+120=250
250 spaces from each other
Answer:
250
Step-by-step explanation:
You can think of this in different ways. Here are two ways.
1) The distance between any two points on the number line is the absolute value of the difference of the coordinates. Since you will take the absolute value of the difference, it makes no different in which order you do the subtraction.
For points on the number line with coordinates a and b,
distance = |a - b| = |b - a|
Here the coordinates are -130 and 120.
distance = |-130 - 120| = |-250| = 250
distance = |120 - (-130)| = |120 + 130| = |250| = 250
As you can see, the distance comes out the same no matter the order of the subtraction.
distance = 250
2) Just think of what the problem means and do a little calculation.
120 is a positive number, so it is located 120 units to the right of zero.
-130 is a negative number, so it is located 130 units to the left of zero.
To find the distance between the two numbers, think of starting at -130. You need to go 130 units right to reach zero. Then from zero you need to move another 120 units right to reach 120. The total distance is 130 + 120 which equals 250.
distance = 250
Select the correct answer. What is the solution to the equation? 3(x + 9)^3/4 = 24
Answer:
C~7
Step-by-step explanation:
The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The equation is:
[tex]\rm 3(x + 9)^{3/4} = 24[/tex]
After solving:
[tex]\rm (x + 9)^{3/4} = 8[/tex]
(x + 9)³ = 4096
x + 9 = ∛4096
x + 9 = 16
x = 7
Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ2
please help aaa last Q cries
Answer:
C
Step-by-step explanation:
Hope it helps!
Answer:
Answer C is correct
Step-by-step explanation:
The left side equals 1/25, but the righ side is 625
(I usually give a better explanation, but i'm in a bit of a rush. sorry!)
you have 60 oz of egg noodles. yiu need 5 oz to make one serving of chicken noodle soup. how maby servings can you make
Answer:
The answer is 12
Step-by-step explanation:
You have to divide 5 and 60 or you can multiply by 5 until you get to 60.
Answer:
12
Step-by-step explanation:
60/5=12
I need help asap!!!!
Step-by-step explanation:
step 1. a circle has an area, A, of 81(pi)
step 2. A = (pi)r^2 = 81(pi)
step 3. therefore r^2 = 81 or r = 9
step 4. if the radius is 9 inches then the diameter is 18 inches.
I need help pls how do u do this step by step? ):
A rectangle has vertices A(1, 6), B(6, 6), C(6, 3) and D(1, 3). What is the "Area" of the rectangle?
Answer:
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Length times width. 3 is length and width is 5
The sum of two numbers is 16. Find the two numbers and their product if their product is to be a maximum
It ia 16 espero ter ajudado
Which of the following goes through (-2,4)
-x+3y=10
2x-2y=-4
-3x+y=10
x-y=6
find the value of y and (4x+8)°
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
