Step-by-step explanation:
1a)you are asked to find the number of girls and boys who received prizes
1b)The given facts are that out of 60 pupils, 40 being boys, 20 being girls, joined a Math Quiz competition. 20%of boys and 15 of girls received prizes.
1c)40 boys +20 girls=60 pupils.
1d) Find the number of girls and boys that re ceived prizes
20% of 40 boys
20/100 ×40= 8 boys won prizes
15% of 20 girls
15/100×20=3 girls won prizes
1d) 8 boys+3 girls=11 pupils won prizes
The product of a number and 3 increased by 9 is less than -42
TRANSLATE
Answer:
3x+9 < - 42
Step-by-step explanation:
The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.
Answer:
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 9000, 51% of students had at least one parent who was a college graduate.
This means that [tex]n = 9000, \pi = 0.51[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Which electrician would be cheaper to hire for 3 hours? 8 hours? Why
Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.
Answer:
3 hour: electrician B because you would save $15
8 hour: electrician A because you would save $10
Step-by-step explanation:
35×3+100=205 vs 40×3+70=190
b is 15 dollars less
35×8+100=380 vs 40×3+70=390
a is 10 dollars less
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answer:
0.89
Step-by-step explanation:
Trust
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.
9514 1404 393
Answer:
slope: 10 m/srepresents speed in meters per secondStep-by-step explanation:
The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.
Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...
m = (100 m)/(10 s) = 10 m/s . . . . slope of the line
The ratio of distance to time is given the name "speed", so ...
the slope represents the sprinter's speed in meters per second.
9 ≥ 3b can someone help me out please?
Answer: b≤3
Step-by-step explanation:
Answer:
3 ≥ b
Step-by-step explanation:
You need to work this out like an algebraic equation
So think of it like this...
9 = 3b
9/3 = 3b/3
3=b
Add the symbol back into the equation
And you get: 3 ≥ b
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
PLEASE HELP FAST I WILL GIVE YOU BRAINLIEST
AABC - AQRS
Find the missing side length, n.
R
B.
12.5
5
2
А-
-C
4
10
n = [?]
Enter
Answer:
5
Step-by-step explanation:
yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5
Will give brainliest for correct answer
Answer:
A function is a rule that assigns to each input exactly one output.
Step-by-step explanation:
If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.
Answer:
The correct answer is "a rule that assigns to each input exactly one output".
Step-by-step explanation:
In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.
Which graph represents a direct variation?
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.
Answer:
Wait what
Step-by-step explanation:
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
Put the lowest number on the left 2 0 -3 -4
Answer:
-4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2 :p ...........
A circle has a radius of 5 centimeters. What is its area?
Answer:
[tex] \bf \huge 78.5 \: c.m.[/tex]
Step-by-step explanation:
Given that :A circle has a radius of 5 centimeters. to find :What is its area?formulas used :A = πr²where,
A = areaπ = 22/7 r = radiusexplanation :finding the area of circle
⟼ A = πr²
⟼ A = 22/7 × 5²
⟼ A = 22/7 × 5 × 5
⟼ A = 3•14 × 5 × 5
⟼ A = 3•14 × 25
⟼ A = 78•5
∴ the area of circle is 78•5 centimeters
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
Hey i need help with this
Answer:
The x-intercepts are 1 and 3
The y-intercept is 3
The vertex is (2,-1)
The line of symmetry is x=2
Step-by-step explanation:
To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)
Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?
Step-by-step explanation:
X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
=[tex]\frac{mv^{2} }{2}[/tex] ; Solve for v.
Answer:
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
Step-by-step explanation:
[tex]E=\frac{mv^2}{2}[/tex]
[tex]2E=mv^2}[/tex]
[tex]v^2=\frac{2E}{m}[/tex]
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?
Answer:
$7.33
Step-by-step explanation:
22=3/4x
22/.75=22*4/3=29.3333333
$29.33-$22=$7.33
A discounted from the original price of the Blu-ray disc will be $5.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Cost of a Blu-ray disc = $22
The sale on the cost of a Blu- ray = 25%
Now,
Find the discounted price of a Blu-ray as;
Discounted price = 25% of $22
= 25 x $22 / 100
= $550/100
= $5.5
Thus, A discounted from the original price of the Blu-ray disc will be $5.5.
Learn more about the percentage visit:
https://brainly.com/question/843074
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Evaluate the expression when a = 6 and x = -3.
-a+7x
Answer:
-27
Step-by-step explanation:
The equation -a+7x, when plugged in shows -6+7*(-3).
This gives us -6-21 which is -27.
By the way can you follow me on Brainly?
Thanks!
at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.
Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.
the first question is, enter a number of fans of the home team that would show Omar's statement is false.
the second question, enter a number of fans of the visiting team that would show omar statement is false.
pls I need help!!!!!!
Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.
How much floor space will toy chest A take up?
Answer: 20ft
Step-by-step explanation:
floor space is only worried about the area of the base, so A would be 4*5 or 20
Answer:
20
Step-by-step explanation:
giving brainliest!! *easy*
Answer:
370 square millimeters
Step-by-step explanation:
2x9x5=90
2x10x5=100
2x10x9=180
90+100+180=370 square millimeters
Answer
450mm^3
Step-by-step explanation:
the picture has the workings
A=l×w×h
A=10mm×9mm×5mm
A=450mm^3
How many kilograms are equal to
54,308 grams?
Answer:
54.308 kilograms
Step-by-step explanation:
Factor the binomial b^2 - 9
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08