From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 12 experiments, 5 resulted in one of each, hence:
[tex]p = \frac{5}{12}[/tex]
There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
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Q. If the word problem is asking you to find the space inside the circle, which formula should you use?
answer choices
Answer:
The last option: bottom right
Step-by-step explanation:
Find the volume of a cone with a base radius of 4 ft and a height of 8 ft.
Write the exact volume in terms of , and be sure to include the correct unit in your answer.
Answer:
42.67π ft³
Step-by-step explanation:
Given
base radius = 4 feetheight = 8 feetFormula
Volume of a cone = 1/3πr²hSolving
V = 1/3 x π x (4)² x 8V = 128/3 x πV = 42.67π ft³PLSSSSSS HELP ME WITH THISS!!!
Answer:
Her total would be $59 so, we would be a dollar extra.
The answer is Yes, the total will be $59.
Step-by-step explanation:
$58 - $18.50 = You need to earn $39.5.
Garden = $6.50 per hour
Cakes = $5.25 per hour
$6.50 X 3 hours = $19.50
$5.25 X 4 hours = $21
$21 + $19.50 = $40.50 totall
$18.50 + $40.50 = $59
Solve the question in the picture and write the correct answer
Answer:
36.24 cm²
Step-by-step explanation:
The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.
__
One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.
Side LengthTo make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.
CA² = CE² +AE²
CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6
CA = √136 = 2√34
__
RadiusNow we can write the proportion using the angle bisector theorem.
DE/CE = DA/CA
r/6 = (10 -r)/(2√34)
r√34 = 3(10 -r) . . . . . . . multiply by 6√34
r(3 +√34) = 30
r = 30/(3 +√34)
__
AreaFrom this, we can find the area of the shaded circle to be ...
A = πr² = (3.14)(30/(3 +√34))²
= 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²
The area of the shaded region is about 36.24 cm².
_____
Additional comment
Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...
[tex]r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}[/tex]
For a=√136 and b=12, this becomes ...
[tex]r=\dfrac{12}{2}\sqrt{\dfrac{2\sqrt{136}-12}{2\sqrt{136}+12}}=6\sqrt{\dfrac{(\sqrt{34}-3)^2}{34-9}}=1.2(\sqrt{34}-3)\approx3.39714[/tex]
This is the same value we found above.
Can you pls help me with this
Which expression is equivalent to Cosine (StartFraction pi Over 2 EndFraction r) for all values of r?.
The expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].
Given trigonometric expression is:
[tex]Cos(\frac{\pi }{2}+r )[/tex]
What is the value of [tex]Cos(\frac{\pi }{2}+\theta )[/tex]?The value of [tex]Cos(\frac{\pi }{2}+\theta )[/tex] is [tex]-Sin\theta[/tex] because [tex]\frac{\pi }{2} +\theta[/tex] lies in the second quadrant and the cosine function is negative in the second quadrant.
So, [tex]Cos(\frac{\pi }{2}+r )= -Sin r[/tex]
The range of sine and cosine functions is the same i.e. [-1,1].
Both the functions are periodic functions with periods 2π.
Hence, the expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].
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Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.
Answer:
7.5 minutes
Step-by-step explanation:
90 seconds is equivalent to 1.5 minutes
1.5×5=7.5
I need help with this question pls help
Answer:
y = - 4
Step-by-step explanation:
x = - 2
3x - 2y = 2
substitute x = - 2 into 3x - 2y = 2
3(- 2) - 2y = 2 ← step 1
- 6 - 2y = 2 ( add 6 to both sides ) ← step 2
- 2y = 8 ( divide both sides by - 2 )
y = - 4
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
When dividing fractions that are represented in the same terms, their quotient is simply the quotient of their numerators. Write an equation that demonstrates this.
Answer/Step-by-step explanation:
Quotient is simply the ratio of the first numerator to the second numerator:
Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.
Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}
=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]
Quotient is simply the quotient of their numerators.
Example could be:
[tex]\frac{2}{7}\div\frac{3}{7}[/tex]
[tex]\frac{2}{7}\times\frac{7}3}[/tex]
[tex]\frac{2}{3}[/tex]
2 is first numerator and 3 is the second numerator.
~lenvy~
The circumference of a circle is 27 cm. Find its radius,
in centimeters.
Answer:
4.295cm
Step-by-step explanation:
Here,
Circumference = 27cm
We know,
C=2πr
or, 27 = 2×22×r
7
or, 44×r = 27
7
27
or, r = 44
7
or, r = 27×7
44
Therefore, r = 4.295cm
Determine the value of k so that the relation {(2, 5), (k, 0), (–9, 2), (0, –9)} can be a function
Step-by-step explanation:
in a function every valid values of x has exactly one assigned y value.
in an ordered pair the first number is x, the second number is y.
the y in (k, 0) is therefore 0.
and this y is different to all other y values in the relation.
therefore, k must be different to all other defined x values (otherwise it would give an x value a second y value, which would make this a not-function).
so, k must be an integer not out of {-9, 0, 2}
The relative frequency of Event A in an experiment is 13.
If the experiment is performed 30 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
!!PLEASE HELP ME IM NOT GOOD AT MATH AT ALL!!
Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.
How many times should Event A occur?The relative frequency in this regard is 1/3.
The number of times it will occur can be found as:
= Relative frequency x Number of times event was performed
Solving gives:
= 1/ 3 x 30
= 10 times
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John leaves his house one morning to go to the store which is 16 middles dude my north. Suzie, his wife, leaves the house and drives to work, which is directly east of the store.John needs to drop off lunch for suzie because she forgot to pack a lunch today. If suzie has a 20 mile drive to work from home, how far must John drive to store to deliver her lunch?
Answer: 12 miles
Step-by-step explanation:
90 pounds =. Ounces
I need help
Answer:
1440 ounces
Step-by-step explanation:
there are 16 ounces in a pound so multiply 90 by 16 and you get 1440 hope this helps!
please help I am confused
Answer: -5
Step-by-step explanation:
Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.
Explain three key differences between index funds and mutual funds
The three main differences are management style, investment objective and cost — and index funds are the clear winner.
Sure hope this helps you and pls mark me brainiest!
The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.
What is index funds?"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."
What is mutual funds?"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "
"If a mutual fund is active, then it has high fees than index fees."
"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."
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ANSWER NOW NEEDS TO BE DONE WITHIN 90 MIN!!!!
What percent of the students received a score below 64, if the mean grade on a test was 70 and the standard deviation was 6.
Using the normal distribution, it is found that 15.87% of the students received a score below 64.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 70, \sigma = 6[/tex].
The proportion of students who received a score below 64 is the p-value of Z when X = 64, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64 - 70}{6}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
Hence, 15.87% of the students received a score below 64.
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Help please I'ma giving alot of points if you say something else just to get the points I will report
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Hello people ~
factorise: : x^2 – 21x + 108
[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]
Use midterm splitation[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]
[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]
[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]
Done!
please help! pleaseeeeee
Answer:
D-27 cm
Step-by-step explanation:
we are given that the top is 8cm
one side is 3..the 2 sides are the same length so total of 6
the bottom is 5, we know the top is 8 so 8-5 =3
the 2 breaks are 1 each
so we do
8 + 5+ 6+ 2+3 =24
The number of points scored by two basketball teams in each teams' latest
10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}
Answer:
See below.
Step-by-step explanation:
Arranging the data in ascending order:
Team one: { 47, 49, 51, 53, 54, 54, 57, 59, 60, 62}
Team two: {43, 48, 49, 51, 52, 53, 56, 57, 61, 63}
The mean for team one = sum of the scores / 10 =
= 546/10 = 54.6.
The median for team 1 = 54.
The mean for team two = sum of the scores / 10 =
= 533/10 = 53.3.
The median for team 2 = 52.5.
Team 1 has a higher mean than team 2: 54.6 - 53.3 = 1.3 higher.
In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.
Solve the equation for all values of x by completing the square. 5x^2-70x=-230
Solve this ASAP please
Answer:
[tex]x=7 + \sqrt{3}[/tex]
[tex]x=7 - \sqrt{3}[/tex]
Step-by-step explanation:
Given equation:
[tex]5x^2-70x=-230[/tex]
Divide both sides by 5:
[tex]x^2-14x=-46[/tex]
Square half of the coefficient of [tex]x[/tex]: [tex](-14 \div 2)^2=49[/tex]
and add this to both sides:
[tex]x^2-14x+49=-46+49[/tex]
Factor the left side and simplify the right side:
[tex](x-7)^2=3[/tex]
Square root both sides:
[tex]x-7=\pm\sqrt{3}[/tex]
Add 7 to both sides:
[tex]x=7 \pm \sqrt{3}[/tex]
[tex]\sf x=\pm \sqrt{3}+7[/tex]
solving step wise:
[tex]\sf 5x^2-70x=-230[/tex]
divide the following by 5
[tex]\sf x^2-14x=-46[/tex]
completing square
[tex]\sf (x-\dfrac{14}{2})^2-(\dfrac{14}{2})^2 =-46[/tex]
should look like this
[tex]\sf (x-7)^2-49=-46[/tex]
simplify by changing sides
[tex]\sf x-7=\pm \sqrt{3}[/tex]
final answer:
[tex]\sf x=\pm \sqrt{3}+7[/tex]
help i’ll mark brainlist
The function f(x)=4x^(5)-2x^(3)+8x is:
Answer:
C. Odd
Step-by-step explanation:
If you reflect this function across the y-axis it is not symmetrical, therefore it is not an even function
But, if you rotate this function by 180 degrees, it is unchanged, therefore it is and odd function
An observer at the top of a building sees a car on the road below. the angle of depression to the car is 28 degrees. If the car is about 50m from the building when it is seen, how tall is the building?
Answer:
Step-by-step explanation:
The height of the building is: 26.585 m.
What is angle of Depression?The angle formed by the line of sight and the horizontal plane for an object below the horizontal.
Given:
angle of depression= 28 degree,
distance between car and building= 50m
using trigonometry,
tan 28= P/B
0.5317= P/50
P= 26.585 m
Hence, the height of the building is 26.585 m.
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Help!! This is iready will get brainiest!! Please answer!!
Answer:
C the number of toothbrushes :)
Step-by-step explanation:
You can show how many were given away each month on a dot plot :)
The others would not make sense with the dot plot :)
Haeva great day!
Please rate and mark brainliest!
A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?
h = time spent running, in hours
d = distance run in miles
32h = d
32d = h
h = 32 + d
h = 32 – d
Answer:
32h=d
Step-by-step explanation:
yea, this is big brain time lol
also edge lol
Please help me with this please and thank you
Answer:
b. [tex]3^{-x}[/tex]
Step-by-step explanation:
(-2, 9)
[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]
(-1, 3)
[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]
(0 1)
[tex]f(0)=3^{0} =1[/tex]
Hope this helps
You are going to the mall with your
friends, and you have $200 to spend.
you find a store that has all jeans for
$25 and all shirts for $10. you buy a
total of 14 items. how many of each
item did you buy?
Answer:3 jeans and 11 shirts with 15 dollars leftover
Step-by-step explanation:
3x25=75
11x10=110
110+75=185
200-185=15
25x4 will make the leftover money higher, so 3 and 11
Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?
A. The 6-pack contains 0.130 liters more soda.
B. The 2-liter bottle contains 0.130 liters more soda.
C. The 2-liter bottle contains 0.645 liters more soda.
D.The 6-pack contains 0.645 liters more soda.
The true statement is that the 6-pack contains 0.130 litres more soda.
He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.
6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.
Proportional relationship1 pack = 0.355 litre can
6 pack = ?
cross multiply
volume of soda = 6 × 0.355 = 2.13 litres
The 6-pack of 0.355-liter cans contains 2.13 litres of soda.
difference = 2.13 - 2.00 = 0.13 litres
Therefore, the 6-pack contains 0.130 litres more soda
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