well, we know that he makes $60 weekly, that'd be the 100%, we also know that he saves 30% of that and the rest, well, 100% - 30% = 70%, so 70% he spends it on food.
if we take 60 to be the 100%, what is 70% of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 60 & 100\\ x& 70 \end{array} \implies \cfrac{60}{x}=\cfrac{100}{70}\implies \cfrac{60}{x}=\cfrac{10}{7} \\\\\\ 420=10x\implies \cfrac{420}{10}=x\implies 42=x[/tex]
A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
Find the distance between the pair of points.
(-2,-18) and (-8,-22)
Answer:
7.21 units
Step-by-step explanation:
hope this helps!
A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Answer:
The answer i 9
Step-by-step explanation:
If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.
151/24 - 8.75
i dont know how to turn it into a decimal.
Answer:
-2.46
Step-by-step explanation:
151/24=6.29
6.29-8.75=-2.46
Answer:
-2.45833333333
Step-by-step explanation:
151 divided by 24= 6.29166666667
6.29166666667-8.75=-2.45833333333
2dp=2.46
Please help i am confused
Answer: (1)
Step-by-step explanation:
The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.
Draw any ∆ ABC with ^B = 90°
Answer:
In ∆ABC, ∆CBA, ∆ACB
^B = 90°
WILL GIVE BRAINLIEST.
Part A: The area of a square is (16x^2 + 24x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x^2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Part A: (4x+3) (4x+3)
Part B: 4 (x+y) (x-y)
(If this is not the answer you are looking for, sorry)
Step-by-step explanation:
Part A: (16x²+24x+9)
FOIL
(4x + 3) (4x +3) = 16x²+24x+9
(4x) (4x) = 16x²
(4x) (3) = 12x
(4x) (3) = 12x
12x + 12x = 24x
(3) (3) = 9
Part B: (4x²-4y²)
4 (x² - y²)
You have to factor it completely
4 (x + y) (x - y)
(Make sure to use FOIL to double check)
Help me please !!!!!!!
Answer:
25ft/s
Step-by-step explanation:
500ft/20s = 25ft/s
someone help me please
Convert 191% to a decimal.
Answer:
1.91
Step-by-step explanation:
191% means [tex]\sf \frac{191}{100}[/tex]
So to write 191% as a decimal, simply divide it by 100.
To divide a number by 100, move the decimal point to the left by 2 places.
[tex]\sf \implies 191 \div 100=1.91[/tex]
Which equation best models the data shown on the scatter-plot below?
The scatterplot is an illustration of a linear regression.
The equation that best models the scatter plot is y = 4x+ 35
How to determine the equation of the scatterplot?The equation of a linear regression is represented as:
y = mx + b
Where:
m represents the slope
b represents the y-intercept
From the graph, we have the following points on the line of best fit (see attachment)
(x,y) = (10,75) and (20,105)
The equation is then calculated as:
[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})(x -x_1) + y_1[/tex]
This gives
[tex]y = (\frac{105 - 75}{20- 10})(x -10) + 75[/tex]
Evaluate
[tex]y = 4(x -10) + 75[/tex]
Open the bracket
[tex]y = 4x -40 + 75[/tex]
Simplify
[tex]y = 4x+ 35[/tex]
Hence, the equation that best models the scatter plot is y = 4x+ 35
Read more about scatter plots at:
https://brainly.com/question/6592115
100 points!!! please help me with this math.
f=72°
d=153°
b=27°
a=64°
be careful i started with f
Answer:
a=64
b=27
d=153
f=72
Step-by-step explanation:
a+72+134+90=360(sum of the angles around a point is 360)
a+296=360
a=360-296
a=64
b=27(vertically opposite angles are equal in magnitude)
27+b+d+e=360(sum of the angles around a point is 360)
d=e (vertically opposite angles are equal in magnitude)
Therefore,
27+27+2d=360
54+2d=360
2d=360-54
2d= 306
d= 306÷2
d= 153
108+f=180(sum of the adjacent angles on a straight line is 180)
f=180-108
f=72
HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH
Answer:
1062
Step-by-step explanation: Find the area of each side then add it all up
A tree is broken at a height of 5 m from the ground and its top touches the ground at a
distance of 12 m from the base of the tree. Find the original height of the tree.
Answers:
Answer:
AB = 18 m . Thus, the original height of the tree = 18 m.
Step-by-step explanation:
explain of how you got the answer for this work
Answer:
Mariah's investement is growing faster
Step-by-step explanation:
Here to find the rate at which the savings are growing at, we have to observe the slope of the line which describes the line representing the savings of each as a function of time.
The slope of a line is given by the relation;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Where m is the slope.
(x1,y1) is any point on the curve.
(x2,y2) is any other point on the curve.
Let's start of with Mariah by picking any 2 points from the table.
(0,150)
(1,159)
[tex]m(mar) = \frac{159 - 150}{1 - 0} = \frac{9}{1} = 9[/tex]
Let's move on to Mauricio's line and choose 2 points that lie on that line.
(0,190)
(1,195.7)
[tex]m(mau) = \frac{195.7 - 190}{1 - 0} = \frac{5.7}{1} = 5.7[/tex]
By looking at both slopes, we see that Mariah's growth rate (slope) 9>Mauricio's growth rate (slope) which is 5.7
From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is.
Answer:
3.92
Step-by-step explanation:
From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is 3.92.
What is margin of error?The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population. The margin of error will be positive whenever a population is incompletely sampled and the outcome measure has positive variance, which is to say, the measure varies.
Margin of error at alpha level of significance =
Z score at alpha level of significance * sqrt(variance/ sample size)
Z score at 5% level of significance = 1.96
Variance = 900
Sample size = 225
Margin of error = [tex]1.96 *\sqrt{\frac{900}{225} } = 1.96*\frac{30}{15} = 3.92[/tex]
Learn more about margin of error here
https://brainly.com/question/10501147
#SPJ2
What is the measure of space inside a suitcase?
Answer:
Linear inches
Step-by-step explanation:
or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.
Answer:
These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.
Step-by-step explanation:Brainliest
Please help! will give brainlest!
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)
HELPP 30 POINTS A bag of marbles has a mass of 45 grams. What is the mass of 250 bags of marbles in kilograms?
show your work below
Answer:
11.25 kg
Explanation:
1 bag of marbles → 45 grams
250 bags → (45 *250) = 11250 grams
Conversion:
1 kg ↔ 1000 grams
So,
11250 g → (11250/1000) kg = 11.25 kg
Answer:
11.25 kg
Step-by-step explanation:
One bag of marbles = 45 g
⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g
1000 g = 1 kg
⇒ 11250 g ÷ 1000 = 11.25 kg
30 divided (3x5)divided 2 + 1?
Answer
2
Explain
3 x 5 = 15 so 30 divided by 15 equals 2. Now 2 divided by 2 equals 1. Now 1 + 1 = 2
Answer:
2
Step-by-step explanation:
30÷(3×5)÷2+1
30÷15÷2+1
2÷2+1
1+1
2
Hope dis helps
Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m
this queation is tricky give me a sec
Step-by-step explanation:
The expression x+x+x+x is equivalent to bx.
What’s the value of b
Answer:
4x
Step-by-step explanation:
X is incremented by 1
Answer:
Step-by-step explanation:
There is a 1 in front of the x. 1 is never written, but really the question looks like
1x +1x +1x +1x which when summed gives 4 x
b = 4
Write a slope intercept form that contains the points(3,4) and (-6,2)
Answer:
[tex]y=0x+2[/tex]
Step-by-step explanation:
Given the following question:
Point A = (3, 2) = (x1, y1)
Point B = (-6, 2) = (x2, y2)
To write the following points in slope intercept form we first need to calculate the slope by using the formula for slope or rise over run.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{2-2}{-6-3} =\frac{0}{-9}[/tex]
[tex]0\div-9=0[/tex]
[tex]m=0[/tex]
Now that we have to slope, we can now write the points in slope intercept form by using the formula y = mx + b and solve for b.
[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=0[/tex]
[tex]x=3[/tex]
[tex]2=0(3)+b[/tex]
[tex]0\times3=0[/tex]
[tex]2=0+b[/tex]
[tex]2+0=2[/tex]
[tex]2=b[/tex]
[tex]b=2[/tex]
[tex]y=0x+2[/tex]
Your answer in slope intercept form is "y = 0x + 2."
Hope this helps.
A cupcake shop makes 25 dozen cupcakes in 2 days, how many cupcakes are made in 5 days at this rate
A 600
B 650
D 750
D 900
Answer:
D. 750
Step-by-step explanation:
if the shop makes 25 dozen in 2 days that means it makes 300 cupcakes in 2 days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know she is only going to be making half of that 25 dozen on the 5th day so you just take half of 300 which is 150 and add it all up: 300+300+150=750
Which of the following statements is FALSE?
AO = 7.8 cm
c1 = 40°
BO = 7.8 cm
a2 = 40°
Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement
Properties of a parallelogramFrom the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:
m<B = m<D
m<A = m<C
Since the diagonals are not equal that is BD is not equal to AC, hence:
OB ≠ OC
Hence the statement BO = 7.8 cm is the only false statement
Learn more on parallelogram here: https://brainly.com/question/970600
Answer:BO = 7.8 cm
Step-by-step explanation: just did the quiz
need help on this ratio question 4:8 in simplist form then into a fraction?
Answer:
4:8 in simplified form would be 1/2
Step-by-step explanation:
Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!
Number 13. Multiply please.
[tex](x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2[/tex]
Hope that helps!
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)
Answer:
distance between moon and sun= y/sin x
Step-by-step explanation:
by use of trigonometric ratios SOHCAHTOA
dat stuff only works on right angled triangles so that is what gave it away
you will use
Sin x= y/distance between moon and Sun
distance between moon and sun= y/sin x
based on my the sketch in my mind hope am right
Given the 4 points below, identify what shape is formed and how you found your answer. Drawn out.
A(-1, 0), B(0, 2), C(4, 0), and D(3, -2)
My answer:
RectangleMy Explanation:
The reason why this is my answer, is because you can see in the picture, I have this coordinate grid, and on that, I drew out these points, and hence, I got this picture.
Refer to the picture below!
~BrainlyMaster~ - Helping Students
Hint: There are 3 feet in 1 yard.....Math 100pts
Answer:
$0.22/foot
Step-by-step explanation:
Setting up the equation:
⇒ 6 yards of aluminum wire costs $3.96
⇒ 6 yards = $3.96
Simplifying the equation in cost/foot:
⇒ 6 yards = 6(3) feet = 18 feet = $3.96 (1 yard = 3 feet)
⇒ 18 feet = $3.96
⇒ 1 foot = $3.96/18 = $0.22
Answer:
$0.22
Step-by-step explanation:
6 yards costs $3.96
Therefore, to find the cost of 1 yard, divide the cost of 6 yards by 6:
⇒ 1 yard = $3.96 ÷ 6
= $0.66
1 yard = 3 feet
Therefore, to find the cost of 1 foot, divide the cost of 1 yards by 3:
⇒ Price per foot = $0.66 ÷ 3
= $0.22