Answer:
1.5 rounded to the nearest tenth
Step-by-step explanation:
To find how much greater WBC are from RBC we do,
3.92 ÷ 2.6
= 1.50769230769
Which is 1.5 rounded to the nearest tenth.
Thus,
there are approximately 1.5 times WBC than RBC.
Hope this helps :)
The 1.5 times greater is the number of red blood cells than white blood cells
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Adult humans have approximately 2.6 red blood cells and 3.92 white blood cells.
To find the number of times greater is the number of red blood cells than white blood cells:
Use division operation,
3.92 / 2.6
= 1.5076
≈ 1.5 rounded to the nearest tenth.
Therefore, the required number is 1.5 times.
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Solve –|2x+3|=1 for x it might have more than one answer
Solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 What is the value of x? 6 7 and one-half 14 and one-half 30
Answer:
The value of x is 30.
We have to find the value of x in the given equation.
Using distributive property
We have,
[tex]1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3[/tex]
other are also solve by this methode;)
The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.
To solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 and value of x to be determined.
The equation is the well-organized link of the variables of two expressions that contain equal between them.
distributive properties are used to evaluate the math problem easily by distributing numbers to the numbers present in parenthesis. eg, if we apply the distributive property of multiplication to solve the expression
a( b + c ) = a.b + a.c
[tex]1/2(x+6) = 18[/tex]
Using distributive property a( b + c ) = a.b + a.c
[tex]1/2.x+1/2*6 = 18\\1/2x+3=18\\1/2x=18-3\\1/2x=15\\x=2*15\\x=30\\[/tex]
Thus, The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.
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At a pond, there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?
Answer:
Hey there!
The ratio of ducklings to adult ducks is 5:1.
This means for every six ducks, five are ducklings and one is an adult.
If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.
Thus, there are 20 ducklings.
Hope this helps :)
Answer:
20 ducklings.
Step-by-step explanation:
Express 15 degrees in Radian measure.
Answer:
Formula 15° × π/180 = 0.2618rad
0.261799
Step-by-step explanation:
Answer:
1 /12 pi
Step-by-step explanation:
To convert degrees to radians, multiply by pi/ 180
15 * pi/ 180
1 /12 pi
Which statement(s) is(are) true about cones? Statement 1: A cone has a triangular base. Statement 2: A cone is 3 times larger than a cylinder with the same height and radius. Statement 3: A cone is one-third the size of a cylinder with the same height and radius. Statement 4: A cone has a circular base.
Answer:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
Step-by-step explanation:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
The true statement is:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
What is Cone?A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.
Properties of Cone
A cone is a shape that has a curved surface and a circular base. The following properties of a cone help us identify it easily. They are as follows.A base of a cone is circular.There is one face, one vertices, and no edges for a cone.The slant height of a cone is the length of the line segment joining the of the cone to any point on the circumference of the base of the cone.A cone have circular base at a perpendicular distance is called a right circular cone.A cone have circular base is an oblique cone.As, from the properties of cone we can say that.
A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..
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At Camp Sunshine, 4 kids went home sick. Of the remaining campers, 18 kids went hiking and the other 41 kids spent the day swimming. How many kids started the day at Camp Sunshine?
Answer:
63 kids
Step-by-step explanation:
We can add up the number of students who went home sick, hiked, and swam to find the total amount of people.
[tex]4+18+41 = 63[/tex]
Therefore, 63 kids started their day at Camp Sunshine.
I get that feeling I oversimplified this one, let me know if I did. I'm not sure if this is right.
Answer:
63 kids
Step-by-step explanation:
We know that there are some kids who went home sick, some went hiking and some went swimming.
The total number of kids that started the day at Camp Sunshine can be found by adding the number who went home sick, went hiking and went swimming.
sick + hiking + swimming
4 went home sick, 18 went hiking and 41 went swimming.
4+ 18 + 41
Add the numbers together
22+ 41
63
63 kids started the day at Camp Sunshine.
PLEASE HELP ASAP ON ALL THE PARTS!!! suppose there is a card game where you are dealt a hand of three cards. you have already learned that the total number of three card hands that can be dealt from a deck of 52 cards is:
Answer:
A. The total number of three-card hands (permutations) that can be made with two aces is 576
B. The actual number of two-ace hands (combinations) you can get from a deck of 52 cards is 288
C. The probability of drawing a three-card hand that includes two aces from a deck of 52 cards is 0.0130
Step-by-step explanation:
A. In order to calculate the total number of three-card hands (permutations) that can be made with two aces we would have to make the following calculation:
total number of three-card hands (permutations) that can be made with two aces=4*3*52
total number of three-card hands (permutations) that can be made with two aces=576.
B. In order to calculate the actual number of two-ace hands (combinations) you can get from a deck of 52 cards we would have to make the following calculation:
actual number of two-ace hands (combinations) you can get from a deck of 52 cards=4C2*48
4C2=4!/2!2!
C2=6
Therefore, actual number of two-ace hands (combinations) you can get from a deck of 52 cards=6*48=288
C. In order to calculate the probability of drawing a three-card hand that includes two aces from a deck of 52 cards we would have to make the following calculation:
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=actual number of two-ace hands (combinations) you can get from a deck of 52 cards/52C3
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=288/22,100
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=0.0130
PLEASE HELP!!!
What does it mean to say that a data point has a residual of -1?
Answer: Option C, 1 unit bellow.
Step-by-step explanation:
The residual of a data point is equal to the vertical distance between the point and the regression line
If the data point is above the line, the residual is positive
if the data point is below the line, the residual is negative.
So here we have a negative residual equal to -1
This would mean that our point is 1 unit below the regression line.
Then the correct option is C.
Answer:
The answer is 1 unit below.
Step-by-step explanation:
This is because the residual is the difference between the actual value of a dependent variable & the value predicted by a regression equation. So if the data point has a residual of -1, that means that the data point lies 1 unit below the regression line.
Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in that time? Round your answer to the nearest hundredth of a percent.
Answer:
5.65%
Step-by-step explanation:
Principal=$600
Time=20 years
FV=600*3=$1800
n=1
r=?
r= n[(A/P)^1/nt - 1]
=1{(1800/600)^ 1/1*20 - 1}
={(3)^1/20-1}
=3^0.05-1
=1.0565-1
=0.0565
rate=0.0565*100
=5.65% to the nearest hundredth percent
NEED HELP ASAP!!!! RIGHT NOW
Answer:
120 degrees
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Add all the number then subtract it with 360.
Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 200 voters finds that 94 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.52? Based on your result, comment on the dangers of using exit polling to call elections.
Answer:
P(X ≤ 94) = 0.09012
From what we observe; There is a probability of less than 94 people who voted for the referendum is 0.09012
Comment:
The result is unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if the exit polling alone is considered.
Step-by-step explanation:
From the information given :
An exit poll of 200 voters finds that 94 voted for the referendum.
How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.52? Based on your result, comment on the dangers of using exit polling to call elections.
This implies that ;
the Sample size n = 200
the probability p = 0.52
Let X be the random variable
So; the Binomial expression can be represented as:
X [tex]\sim[/tex] Binomial ( n = 200, p = 0.52)
Mean [tex]\mu[/tex] = np
Mean [tex]\mu[/tex] = 200 × 0.52
Mean [tex]\mu[/tex] = 104
The standard deviation [tex]\sigma[/tex] = [tex]\sqrt{np(1-p)}[/tex]
The standard deviation [tex]\sigma[/tex] = [tex]\sqrt{200 \times 0.52(1-0.52)}[/tex]
The standard deviation [tex]\sigma[/tex] = [tex]\sqrt{200 \times 0.52(0.48)}[/tex]
The standard deviation [tex]\sigma[/tex] = [tex]\sqrt{49.92}[/tex]
The standard deviation [tex]\sigma[/tex] = 7.065
However;
P(X ≤ 94) because the discrete distribution by the continuous normal distribution values lies in the region of 93.5 and 94.5 .
The less than or equal to sign therefore relates to the continuous normal distribution of X < 94.5
Now;
x = 94.5
Therefore;
[tex]z = \dfrac{x- \mu}{\sigma}[/tex]
[tex]z = \dfrac{94.5 - 104}{7.065}[/tex]
[tex]z = \dfrac{-9.5}{7.065}[/tex]
z = −1.345
P(X< 94.5) = P(Z < - 1.345)
From the z- table
P(X ≤ 94) = 0.09012
From what we observe; There is a probability of less than 94 people who voted for the referendum is 0.09012
Comment:
The result is unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if the exit polling alone is considered.
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below: Gymnastic Scores Score Number of Students 0 1 1 1 2 2 3 6 4 4 5 3 6 2 Based on the table, what is the mean gymnastic score? 2.5 3.5 5.2 9.4
Answer:
3.5
Step-by-step explanation:
I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish
The mean for gymnastic score is, 3.5
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.
Now, We get;
The mean for gymnastic score is,
= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19
= 3.47
= 3.5
Thus, The mean for gymnastic score is, 3.5
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A baby is 19 inches long at birth. After 14 months, the baby is 30 inches long. What is the rate of change?
Please help me with this question with full solutions!!!
Answer: Choice C
x/w and z/(y+v)
======================================================
Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
-----------
Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer:
[tex]\frac{x}{w}, \: \frac{z}{y+v}[/tex]
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Let’s take triangle ABD, where w is the hypotenuse.
sin ∠ABD = [tex]\frac{x}{w}[/tex]
Let’s take triangle ABC (whole triangle), where y + v is the hypotenuse.
sin ∠ABD = [tex]\frac{z}{y+v}[/tex]
Find the solution of y= 4x+ 2 for x = -5.
Answer:
[tex]y=-18[/tex]
Step-by-step explanation:
[tex]y=4x+2[/tex] for [tex]x=-5[/tex]
[tex]y=4(-5)+2\\y=-20+2\\y=-18[/tex]
Answer:
y = -18
Step-by-step explanation:
y = 4x+2
Let x = -5
y = 4(-5) +2
y = -20 +2
y = -18
find the reciprocal of.
Answer:
a) 3/1 that is 3
b) 8/7
c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3
therefore the reciprocal is 3/8
d) 1/5
e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6
therefore the reciprocal is 6/37.
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Answer:
a. [tex]3[/tex]
b. [tex] \frac{8}{7} [/tex]
c. [tex] \frac{3}{8} [/tex]
d. [tex] \frac{1}{5} [/tex]
e. [tex] \frac{6}{37} [/tex]
Step-by-step explanation:
a. [tex] \frac{1}{3} [/tex]
Just flip the fraction , you will get:
[tex] = \frac{3}{1} [/tex]
[tex] = 3[/tex]
b. [tex] \frac{7}{8} [/tex]
flip the fraction
[tex] = \frac{8}{7} [/tex]
c. [tex]2 \frac{2}{3} [/tex]
The first thing you have to do is that convert mixed fraction into improper fraction
[tex] \frac{8}{3} [/tex]
Flip the fraction
[tex] = \frac{3}{8} [/tex]
d. [tex]5[/tex]
flip the fraction
[tex] = \frac{1}{5} [/tex]
e. [tex]6 \frac{1}{6} [/tex]
Convert mixed fraction into improper fraction
[tex] = \frac{37}{6} [/tex]
Flip the fraction in order to get reciprocal
[tex] = \frac{6}{37} [/tex]
Hope this helps...
Best regards!!
pls help me (i got this from khan academy) f(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, left parenthesis, 4, x, minus, 8, right parenthesis, left parenthesis, x, plus, 6, right parenthesis has zeros at x = − 6 x=−6x, equals, minus, 6, x = − 1 5 x=− 5 1 x, equals, minus, start fraction, 1, divided by, 5, end fraction, and x = 2 x=2x, equals, 2. What is the sign of f ff on the interval − 1 5 < x < 2 − 5 1
Answer: Negative
Step-by-step explanation:
f(x) = (5x + 1)(4x - 8)(x + 6)
x = -1/5 x = 2 x = -6
Zeros (in order): -6, -1/5, 2
Now, let's look at the End Behavior of the function.
The leading coefficient is positive (5x)(4x)(x) = +20x³ so the right side of the graph goes toward positive infinity.
The Degree is odd (degree = 3) so the left side is opposite of the right side which means it goes toward negative infinity.
------o-------------o--------------o------
-6 -1/5 2
-- + -- +
y-values for -1/5 < x < 2 is NEGATIVE
The sign of the function f(x) = (5x + 1)(4x − 8)(x + 6) in the interval of -1/5 to 2 will be negative.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = (5x + 1)(4x − 8)(x + 6)
The x-intercept of the function will be
(-6, 0), (-1/5, 0), (2, 0)
Then the sign of the function in the interval of -1/5 to 2 will be
Find the value of the function at x = 0, we have
f(x) = (5*0 + 1)(4*0 − 8)(*0 + 6)
f(x) = 1 x (-8) x 6
f(x) = -48
Thus, the value of the function at x = 0, is negative.
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17.A company produces three sizes of a dog
25 house: small, medium, and large. The
small dog house sells for $80, the
medium size for $110, and the large for
$140. The small dog houses cost $50
each to make, medium $70 each, and
large $79 each. Let s represent the
number of small size dog houses, m
represent the number of medium size
dog houses and L represent the number
of large size dog houses. Write an
expression in simplest form for the net
profit.
Answer:
10s+40m+61l=net profit
Step-by-step explanation:
subtract the value you pay from the value you charge
the scale on the map of a park is 5 in. : 3 mi.
Answer:
If the scale on a map is 5in : 3 miles, it means every 3 inches is 5 miles. 6 inches is 10 miles and so on.
A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.
Answer:
6 to the north
Step-by-step explanation:
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help with the question below would be much appreciated :)
Answer:
B
Step-by-step explanation:
In an isosceles triangle, the altitude is the median so the altitude splits the base into two segments with lengths of 5. We notice that x is part of a right triangle with legs of 5 and 12, therefore, using the 5 - 12 - 13 Pythagorean Triple, x = 13.
Answer:
(B) 13
Step-by-step explanation:
This isosceles triangle is broken up into two parts, both are right triangles.
To find the length of a missing side in a right triangle, we use the Pythagorean Theorem - [tex]a^2+b^2=c^2[/tex]. where one of the legs is a, the other leg is b, and the hypotenuse is c.
We know that one of the legs is 12, and since the base of the triangle is 10, the leg of one of the right triangles is 5.
Let's solve.
[tex]5^2+12^2=c^2\\25+144=c^2\\169=c^2\\\\\sqrt{169} =c\\13=c[/tex]
So, c is 13, therefore the hypotenuse is 13, therefore x is 13.
Hope this helped!
Solve the equation for x.
Answer:
x = 27
Step-by-step explanation:
2/3x - 1/9x + 5 = 20
Subtract 5 from each side
2/3x - 1/9x + 5 -5= 20-5
2/3x - 1/9x = 15
Get a common denominator on the left side
2/3 *3/3 x - 1/9x = 15
6/9x - 1/9x = 15
5/9 x = 15
Multiply each side by 9/5
9/5 * 5/9x = 15 * 9/5
x = 15/5 *9
x = 3*9
x = 27
Answer:
x=27
Step-by-step explanation:
2/3 x -1/9 x+5=20
2/3x -1/9 x=20-5 common denominator
(6x-1x)/9=15 multiply each side by 9
(5x)=135
5x=135
x=135/5=27
x=27
Will there be more than one relay exchange between 2 consecutive tenths of a mile?
Answer:
No
Step-by-step explanation:
data provided in the question
Long = 2 miles
distance = [tex]\frac{2}{11}[/tex]
based on the above information,
We can conclude that
there is not more than one relay as if we divide the 2 by 11 so it comes 0.18 which is greater than 0.1
i.e
0.18 > 0.1
So there is no need for more than one relay i.e to be exchanged between two consecutive mile
How many terms are in the expression shown?
2n + 5 – 3p + 4q
1
2
3
4
Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.
So in this expression, the terms are +2n, +5, -3p, and +4q.
This means that there are 4 terms.
The answer is D - 4 :)
Can someone help me out?
Answer
X=117°
Step-by-step explanation:
Angle on a straight line =180°
101+y=180
y=180-101
y=79°
then: 38+79+z=180
z=180-38-79
z=63°
angle on a straight line=180°
63+X=180
X=180-63
X=117°
Consider the following 8 numbers, where one labelled x is unknown. 4, 32, 6, x , 10, 3, 35, 37 Given that the range of the numbers is 64, work out 2 values of x
Answer:
[tex]\boxed{x=-27, \: x=67}[/tex]
Step-by-step explanation:
There can be two values of x.
The range is largest no. - smallest no.
Range = 64
Let x be the smallest no.
largest no. from the list is 37
37 - x = 64
-x = 64 - 37
x = -27
Let x be the largest no.
smallest no. from the list is 3
x - 3 = 64
x = 64 + 3
x = 67
The needed two values of x are: 67 and -27.
Given sequence of 8 numbers as:
[tex]4, 32, 6, x, 10, 3, 35, 37[/tex]
Given range of above sequence: 64
The range of a sequence is defined as the difference between the maximum and minimum value of the sequence.
Since the value x can assume any value, it have option to be minimum value in the sequence or maximum value in the sequence such that the range remains at 64.
Case 1: x as minimum value of given sequence:
If so, then the maximum value is 37. Then-
[tex]range = maximum \:value - minimum \:value\\or\\64 = 37-x\\or\\x = -27\\[/tex]
Case 2: x as maximum value of the given sequence:
If so, then the minimum value of the sequence is 3. Then-
[tex]range = maximum \:value - minimum \:value\\or\\64 = x - 3\\or\\x = 67\\[/tex]
Thus the needed two values of x are: 67 and -27.
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A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fiber in the entire tomato?
Answer:
The amount of fiber in the entire tomato is approximately 1 g
Step-by-step explanation:
A tomato is cut into 8 slices.
1 slice contains 012 g of fiber
8 slices will contain;
[tex]\frac{8 * 0.12}{1}[/tex] g = 0.96g which equals to 1 g when rounded up nearest gram.
So the amount of fiber in the entire tomato is 0.96g ≈ 1g
A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?
Answer: 1,300 students went on the trip
Step-by-step explanation: So we know that 65% filled the seats so let's turn that into a fraction. [tex]\frac{65}{100}[/tex] . Now we know that there are 2,000 seats in total so let's put that into a fraction. [tex]\frac{x}{2,000}[/tex] The x represents the students that went on the trip.
[tex]\frac{65}{100} = \frac{x}{2,000}[/tex] we have to cross multiply
65(2,000) = 100 (x)
130,000 = 100 (x)
130,000 ÷ 100
1,300 = x So now we know that 1,300 went to the trip students
need help fast please
Answer:
Step-by-step explanation:
(2, -1) & (-1, -2)
(-2+1)/(-1-2)= -1/-3= 1/3 is the slope of the line
The cylinder shown has a volume of 150 cubic inches and its height is equal to its radius. The cylinder and the sphere shown have the same radius. What is the volume of the sphere?
Answer:
V = 200
Step-by-step explanation:
Cylinder
V = pi r^2 h
150 = pi r^2 h
We know that h = r
150 = pi r^2 r
150 = pi r^3
Divide each side by pi
150 /pi = r^3
Take the cube root of each side
( 150 / pi ) ^ 1/3 = r
3.627831679 = r
Rounding to 3.63
Now find the volume of the sphere
V = 4/3 pi r^3
Replacing r^3 with 150 /pi
V = 4/3 * pi ( 150/pi)
V = 4*150 /3
V = 200