Laurence earned scores of 87, 80, 75, and 85 on four biology tests. What score must he earn on his next test to have an 85 average?
A. 95
B. 98
C. 80
D. 85
Answer: 98
To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.
What is math average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.
When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.
Average = (sum of values) / (number of values)
The total of Laurence's marks on the first four biology exams can be calculated using the following formula
Sum of scores = 87 + 80 + 75 + 85
= 327
We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.
Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.
Next score = (sum of all five scores) - (sum of first four scores)
= (85 x 5) - 327
= 25
Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.
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Easy math 2 questions
I only know question 1: 8 inches.
Also, don't delete this.
It's helpful to certain people with the same problem.
Answer:
For problem 11, Q is 16 degrees
For problem 12 I think it is 8 inches
Step-by-step explanation:
PLEASE HELP ME WILL FOLLOW AND GIVE BRAINLIST!!! ASAP
Answer:
1/10 of the members
Step-by-step explanation:
first, see how much is between [tex]2\frac{1}{4}[/tex] and [tex]3[/tex]. you can only see one. then count the number of x's, that's the number of members, and your denominator.
the circumference of the hub cap of a tire is 79.38 cm. Find the area of this hub cap. use 3.14 for pi
Answer:
ans 19785.719
Step-by-step explanation:
formula πr^2
Compare using inequalities <>, or
During February in Du Bois, Pennsylvania the temperature was -23 degrees at 11 am. The temperature was -6 degrees
at 7 pm.
-0)
A)
-23 >-6
B)
-23<-6
O
-6<-23
D)
-6=-23
Answer:
B. - 23 < -6
Step-by-step explanation:
Solve this system of equations. -2x-4y=-12
Answer:
x = 6 and y = 3
Step-by-step explanation:
Your equation: -2x-4y=-12
__________________________________________________
First, we'll solve for x.
You need to divide -2x on both sides.
**We'll exclude/forget the -4y since we're not dealing with it right now.
-2x = -12
x = 6
When dividing with negatives, if both of the numbers are negatives they shall cancel and become positive.
-12 divided by -2 is 6 positive.
Therefore, x = 6
_______________________________________________________
Next, we'll solve for y
The same thing as last, we'll exclude our -2x since we're not dealing with it anymore.
-4y = -12
-12 divided by -4 is a positive answer since the two negatives cancel out.
-12/ -4 = 3
Therefore, y = 3
________________________________________________________
The proper vocabulary of the "x" and the "y" are x-intercept and y-intercept.
We just solved for both.
2. Find the probability of throwing a 10 with a pair of dice and choosing a red from a standard deck of cards.
Answer:
Step-by-step explanation:
You can get 10 with a pair of dice with:
4 + 6, 6 + 4, 5 + 5
out of a possibile 36 results
There are 52 cards in a standard deck of cards. Reds make up half of them (hearts and diamonds) , meaning theres a 50/50 chance of pulling red
10/36 * 1/2 = 5/36 chance of throwing 10 + pulling red
A house is on a 60,000-squarefoot lot. Rounded to the nearest tenth, approximately how many acres are in the lot?
Answer:
1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.
Step-by-step explanation:
i hope that helps!!
Simplify the expression.
(m^-1 m^5/m^-2)^-3
a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18
Answer:
[tex]D)\frac{1}{m^{18} }[/tex]
Step-by-step explanation:
Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]
Add -1 and 5.
[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]
Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].
[tex](m^{4} m^{2} )[/tex]
Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex](m^{4+2} )^{-3}[/tex]
Add 4 and 2.
[tex](m^{6} )^{-3}[/tex]
Multiply the exponents in [tex](m^6)^{-3}[/tex]
Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].
[tex]m^{6*-3}[/tex]
Multiply 6 by -3.
[tex]m^{-18}[/tex]
Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].
[tex]\frac{1}{m^{18} }[/tex]
HELP ME
WHOEVER ANSWERS IS THE SMARTEST AND I WILL TELL EVEYONE ABT YOU
PLEASE HELP ME I NEED HELP
Answer:
F
Step-by-step explanation:
3+4=7
721/7=103
both catch 7 pokemon per day
Simplify this fraction to the lowest terms 14/12
Answer:
1 1/6 or 7/6
Step-by-step explanation:
Divide both 14 and 12 by 2
What is the Area of the circle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Area of circle :
[tex]\qquad \sf \dashrightarrow \:\pi r {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:12.25 \: \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]
Answer:
38.465 units²
Step-by-step explanation:
The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.
Substituting the radius in the formula:
⇒ πr²
⇒ π(3.5)² [Radius (r) = 3.5 units]
Evaluating the area:
⇒ π x 12.25
⇒ 3.14 x 12.25
⇒ 38.465 units²
What is the vertex of this quadratic function? y=6(x+1)2-9 Please Help!
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]
Find the distance between the two points
(−12, 8) and (−3, 8)
Answer:
9
Step-by-step explanation:
Plug into Distance formula --> √(-3 - (-12))^2 + (8 - 8)^2
---> 9
Sum of the inteor anglrs of triangle #3
Answer:
I dont see any triangle but the sum of the interior angles of every triangle is 180
Step-by-step explanation:
<+<+<=180˚
(WHO WANTS BRAINLIEST! :D)
Sitting in your sailboat looking at the horizon, you see a lighthouse 500 feet away. Looking up at a 20 degrees, you see the light at the top of the lighthouse. How far off the ground is the light in the lighthouse? Round your answer to the nearest tenth.
Answer:
182.0
Step-by-step explanation:
500 tan20
=181.98
=182.0(to nearest tenth)
Old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats. How many grams of carbohydrates are available in 2 1/4 cups of dry oats?
There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.
We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.
Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.
As per the given information, we can write the ratio would be as:
27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4 cup of dry oats
⇒ 27/ (1/2) = x/(2 1/4)
⇒ 27/ (1/2) = x/(9/4)
Reciprocal the term in the numerator,
⇒ 27 × 2 = x × 4/9
Apply the cross-multiplication operation,
⇒ x = 54 × 9/4
⇒ x = 121.50
Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.
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write in words
3a- 6
[tex] \frac{1}{2} z \: fy \: 10[/tex]
Answer:
See below ↓↓
Step-by-step explanation:
1) 3a - 6
6 minus the product of 3 and a2) 1/2zfy10
1/2 the product of z,f,y, and 10What are the zeros of the polynomial p(x) = x3 – 19x - 30?
-
1.
-10, 1, 3
2.
-6, -5, 1
3.
-3, -2,5
4.
-15, 1, 2
Answer:
x= -2
x= -3
x= 5
Step-by-step explanation:
5x-2y=42
-3x+2y=-26
which of the following shows the results of the two equation added together?
Answer:
Step-by-step explanation:
When we add the two equaions, y will be cancelled becaue -2y + 2y = 0.
Thus we can find the value of x.
5x - 2y = 42 -----------(I)
-3x + 2y = -26 {Now add}
2x = 16
x = 16/2
x = 8
Following is the probability distribution for age of a student at a certain public high school.
X
13
14
15
16
17
18
P(x) 0.09 0.22 0.24 0.28 0.15 0.02
(a) Find the variance of the ages. Round the answer to at least four decimal places.
The variance of the ages is
Considering the given discrete distribution, the variance of the ages is of 1.5844.
What is the mean and the variance of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The variance is given the sum of the difference squared between each outcome and the mean, multiplied by it's respective probability.In this problem, considering the distribution given in the table, the mean is given by:
[tex]E(x) = 13(0.09) + 14(0.22) + 15(0.25) + 16(0.28) + 17(0.15) + 18(0.02) = 15.39[/tex]
Hence, the variance is given as follows:
[tex]Var(x) = 0.09(13-15.39)^2 + 0.22(14-15.39)^2 + 0.25(15-15.39)^2 + 0.28(16-15.39)^2 + 0.15(17-15.39)^2 + 0.02(13-15.39)^2 = 1.5844[/tex]
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Which diagram is NOT a good model of 3÷1/4?
Answer:
1st one with triangles is not a good model of 3÷1/4
Answer:
A.Step-by-step explanation:
If you look at the triangles, the lines in them are NOT equal, and not split into fourths.
I really have no other explanation.
Identify a set of parallel lines
Answer:
D
Step-by-step explanation:
Since EF is perpendicular to both AB and CD, that makes AB and CD parallel.
Answer: D
in a certain urban area, the relationship between number of students, x in thousands, and the umber of schools, y , has an x-intercept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form
Answer:
[tex]\sf -3x+4y=12[/tex]
Step-by-step explanation:
x-intercept is when y = 0 → (-4, 0)
y-intercept is when x = 0 → (0, 3)
[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{3-0}{0-(-4)}=\dfrac34[/tex]
Substitute one of the points and the found slope into the point-slope form of a linear equation:
[tex]\implies \sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=\dfrac34(x-(-4))[/tex]
[tex]\implies \sf y=\dfrac34(x+4)[/tex]
[tex]\implies \sf 4y=3(x+4)[/tex]
[tex]\implies \sf 4y=3x+12[/tex]
[tex]\implies \sf -3x+4y=12[/tex]
A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
a). Identify the dependent and independent variable.
b). Make a table of values for the cost of $C of an appointment with the lawyer for time t hours where t= 0,1,2,3,4.
c). What is the relationship between C and t linear?
d). If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give reason with your answer.
e). For every increase of 1 hour for t, what is the change in C?
f). For an appointment with the lawyer, what is the fixed cost and variable cost?
Answer:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, [tex]\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}[/tex], where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.
Write an equation of the line in slope-intercept form.
y =
Help picture below problem 19
Answer:
it's rectangle...
Step-by-step explanation:
mark me brainliest
Answer:
that's C. Its' a rectangle
It has 2 pairs of parallel sides. and they are the same size.
what is the total interest accured for a loan of $3200 at 6.1% interest
Answer:
6.1÷100×3200
press that you will get your answer
Find 1 2/5 divided 2 1/3
Answer:
3/5
Step-by-step explanation:
7/5 / 7/3 = 3/5
Answer:
3/5
Step-by-step explanation:
First we make both fractions into improper fractions/top-heavy fractions:
1 2/5 = 7/5
2 1/3 = 7/3
Now we use the rule of KFC (keep flip change):
Keep the first fraction:
7/5
Change the sign to opposite:
÷ → ×
Flip the second fraction:
7/3 → 3/7
Now we multiply the fractions:
7/5× 3/7 = 7×3/5×7 =
21/35
Now we simplify this fraction to simplest terms:
Both the numerator and denominator can be divided by 7 :
3/5
So this is our final answer
Evaluate the triple integral
Answer:
Wow thats hard
Step-by-step explanation:
though luck