Answer:
10 and 11
\(10 \times 11 = 110\)
\(10 + 11 = 21\)
A certain group of women has a 0.94% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green
color blindness?
Answer:
99.06%
Step-by-step explanation:
100.00% - 0.94% = 99.06%
Probability that a randomly selected woman does not have red/green color blindness: 99.06%
Color blindness is a condition that affects the ability to distinguish certain colors, most commonly red and green. In this problem, we are given that a certain group of women has a 0.94% rate of red/green color blindness.
Let's define the probability of having red/green color blindness as P(R), and the probability of not having red/green color blindness as P(~R). The sum of these two probabilities should equal 1, as a woman either has the condition or does not.
Step 1: Calculate the probability of having red/green color blindness (P(R)):
P(R) = 0.94% = 0.0094 (as a decimal)
Step 2: Calculate the probability of not having red/green color blindness (P(~R)):
P(~R) = 1 - P(R)
P(~R) = 1 - 0.0094
P(~R) = 0.9906 (as a decimal)
Step 3: Convert the probability to a percentage:
P(~R) = 0.9906 * 100%
P(~R) ≈ 99.06%
So, the probability that a randomly selected woman does not have red/green color blindness is approximately 99.06%.
In summary, this means that in the given group of women, about 99.06% of them do not have red/green color blindness, while approximately 0.94% do have this condition.
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Please guys help me please with this question please please please please
Answer:
x = 18
Step-by-step explanation:
Given:
160 total learners34 play soccer and rugby40 play soccer and hockey42 play hockey and rugby36 play soccer only72 play hockey8 play rugby only28 play none of these sportsx play all three sportsAs "x" learners play all three sports, the Venn diagram should have three overlapping circles labelled soccer (S), rugby (R) and hockey (H).
x play all three sports: Label the area that's in S, R and H with x.
8 play rugby only: Label the area that is R only with 8.
36 play soccer only: Label the area that is S only with 36.
28 play none of these sports: Place 28 outside the three circles.
34 play soccer and rugby: Place "34 - x" in the area that's in S and R.
40 play soccer and hockey: Place "40 - x" in the area that's in S and H.
42 play hockey and rugby: Place "42 - x" in the area that's in H and R.
72 play hockey
72 is the total for all the sections of H.
⇒ H = 72 - x - (40 - x) - (42 - x)
⇒ H = 72 - x - 40 + x - 42 + x
⇒ H = x - 10
Place "x - 10" in the area that is H only.
The total number of learners is 160.
Therefore, to find x, sum the areas of the Venn diagram and equal to 160:
⇒ 36 + 8 + 28 + 34 - x + x + 40 - x + 42 - x + x - 10 = 160
⇒ 36 + 8 + 28 + 34 + 40 + 42 - 10 - x + x - x - x + x = 160
⇒ 178 - x = 160
⇒ x = 178 - 160
⇒ x = 18
Finally, substitute x = 18 into the Venn diagram.
Find the next four terms in the sequence.
1,-4, 16, -64, ...
Answer:
256, -1024, 4096, -16384
i think that's it
it's being multiplied by -4 (geometric)
write the following comparison as a ratio reduced to lowest terms.
128 hours to 6 days
Answer:
21.3:1
Step-by-step explanation:
So we have to find the unit rate, and we do that by getting that 6 down to a 1, and we do that by dividing 6 by 6 and then we gotta do that on the other side too:
6 ÷ 6 = 1
128 ÷ 6 = 21.3 (simplified)
So 128 to 6 days in simplest terms is 21.3 hours to 1 day
hope this helps:)
Find the measure of each numbered angle. NEED HELP NOW
m<1=
m<2=
m<3=
Answer:
m∠1 = 58°
m∠2 = 58°
m∠3 = 72°
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180°. The vertical angles at Point Z are congruent and therefore their measures are equal.
What is 196.7 16 in simplest form?
A pastry bag full of frosting forms a cone with the dimensions shown. Find the volume of frosting in the pastry bag.
Answer:
kajhfsdbbcbb,bnmcxbvljhhjw eutiugvawgygewfcufbuicmauigpuygpvghsfBgeilvlhkdb;bwgvPWIHITVNUAHUEIGEOYUGE8GPUWIEHOIgorucrugc t rueagurwWUGHCRWGCugpgpuyGPGCPGUGGUyguUYFUYGUOYUOYGOUYGOFUGIcefgyxsnjdfryugvouscbaknqpiuvhrwklemfnvvvvvvvr4uhui4jqkwserupwehdnjqhbgiwebduudirbgdqfwaiqjnweisdkrfmtguiwdnnnnnnnnnnnnnnerijjjjjjj
Step-by-step explanation:
What degree of rotation about the origin will cause the triangle below to map
onto itself?
B
-8 -6
C
8
6
MO
2
-2-
T
-6-
-8
6 8
Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet
Step-by-step explanation:
i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
Two dice are rolled. If one die lands on 2, will this affect the chance of the other die landing on 2? Yes or no?
Answer:
No.
Step-by-step explanation:
Each die, independent of each other, have a 1/6 chance of rolling a 2 (if they are fair dice) Whatever is rolled on one die has nothing to do with what is rolled on the other die.
con el azucar de un saco enpaco bolsas de 250 cada una.¿cuantas bolsas en paco
Esta pregunta esta incompleta
Pregunta completa
El señor Juan tiene una tienda de abarrotes y sus ventas son al mayoreo y al menudeo. La semana pasada recibió dos toneladas de azúcar en 40 sacos de 50 kg cada uno.
Con el azúcar de un saco empacó bolsas de 250 cada una.¿cuantas bolsas en paco
Answer:
200 bolsas.
Step-by-step explanation:
Se nos dice en la pregunta,
La semana pasada recibió dos toneladas de azúcar en 40 bolsas de 50 kg cada una.
Esto significa
1 bolsa = 50 kg de azúcar.
1 kg = 1000 gramos
50 kg = 50 × 1000 gramos
= 50000 gramos
Por tanto, 1 bolsa contiene = 50000 gramos de azúcar.
A partir de la pregunta anterior, se nos pregunta cuántas bolsas de azúcar obtendría si cada bolsa contuviera 250 gramos.
Por lo tanto:
50000/250 gramos
= 200 bolsas.
Por lo tanto, obtendría 200 bolsas.
Can someone help me?
Answer: 14450
Step-by-step explanation:
15% of 17000 is 2550. 17000-2550 is 14450
(1 1 6 − 7 18 )÷2.8 0.5+ 1 18
Step-by-step explanation:
(116-718) /(2.805+118) [as, there cannot be two decimals in one numbers
=-602/120.805
=0.498
PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
Suppose that IQ scores in one region are normally distributed with a standard deviation of 16. Suppose also that exactly 58% of individuals from this region have IQ scores of greater than 100 (and that 42% do not). what is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
The mean IQ score for this region is 83.52. Rounded to one decimal place, the mean IQ score for this region is 83.5.
What is IQ score?IQ, or Intelligence Quotient, is a score derived from specific standardized tests designed to assess a person's cognitive abilities and potential for learning. This score is used to measure a person's intelligence and is calculated by dividing a person's mental age (determined by the test) by their chronological age and then multiplying the result by 100.
Let X be the mean IQ score for this region.
We know that 58% of individuals have an IQ score greater than 100. This means that the IQ score of 100 is the 58th percentile.
From the normal distribution table, the score of the 58th percentile is 1.03 standard deviations above the mean.
Therefore, we can set up the following equation:
1.03σ + X = 100
Where σ is the standard deviation (16).
Substituting 16 for σ and solving for X yields:
1.03(16) + X = 100
16.48 + X = 100
X = 83.52
The mean IQ score for this region is 83.52. Rounded to one decimal place, the mean IQ score for this region is 83.5.
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A positive integer is 1 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 2, then find the two integers.
The two integers are 1 and 2.
What do you mean by Integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Integer is a Latin word which means 'whole' or 'intact'. This means integers do not include fractions or decimals.
A number is positive if it is greater than zero, so they are positive integer.
A number is negative if it is less than zero, so they are negative integer.
A number line is a visual representation of numbers on a straight line. This line is used for comparison of numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally.
Given:
x be a positive number
x + 1 = y
The sum of reciprocal of the smaller and twice the reciprocal of the larger number
Substitute
\(\frac{1}{x} + \frac{2}{y} = 2\)
\(\frac{1}{x} + \frac{2}{x + 1} = 2\)
\(\frac{x+ 1 + 2x}{x(x +1)} = 2\)
\(x + 1 + 2x = 2x^2 + 2x\)
Subtracting 2x on both sides, we get
x + 1 + 2x - 2x = 2x² + 2x - 2x
x + 1 = 2x²
2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x(x - 1) + 1(x - 1) = 0
(2x + 1)(x - 1) = 0
x = -1/2 and x = 1
But x = -1/2 is not possible. Becuase x is a positive number.
So, x = 1
y = x + 1
y = 2
The two integers are 1 and 2.
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which letter onthe diagram below represents a diameter of the circle.
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.
Answer:
3/15= 1/5 That's the answer
Mrs. Thompson purchased 4 notebooks at $2.95 each and 4 pens at $1.50 each. How much did she spend in all?
Answer:
Step-by-step explanation:
Multiply the quantity by the price.
4 notebooks x $2.95 each=???
4 pens x $1.50 each=???
Answer:
$17.80
Step-by-step explanation:
Hamlet the pig weighs 31
pounds. Given that there are
16 ounces per pound, how
many ounces does Hamlet
weigh?
Answer:
496
Step-by-step explanation:
1 pound = 16 ounces
31 pounds = 16(31)
⇒496 ounces
Michelle purchases a tablet that costs
$85. The sales-tax rate in her city is 7%.
What is the total cost of the tablet?
Answer:
$90.95
Step-by-step explanation:
85 + .07(85)
85 + 5.95
90.95
URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
Answer: False
Step-by-step explanation:
Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.
Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7
The steps to conduct the steps of hypothesis testing on these data are:
State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?The hypothesis will be:
H0: Email frequency does not affect grades.H1: Email frequency affects grades.Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.
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PLEASE I BEG SOMEONE TO HELP
Write an recursive formula for an, the nth term of the sequence 19, 22, 25, ....
Answer:
16 + 3n
Step-by-step explanation:
a = 19 ; common difference = 22 - 19 = 3
a(n) = a + (n -1 ) *d
= 19 + (n-1)*3
= 19 + 3n - 3
= 16 + 3n
Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there were 80 million cars in year 1 of her study, how many more cars were on the road in year 3 compared to year 2?
8,000,000
8,800,000
88,000,000
96,800,000
Answer:
96,800,000
Step-by-step explanation:
10/100 × 80million = 88,000,000
10/100 ×88million = 96,800,000
Answer:
(96,800,000)
Step-by-step explanation:
Solve the trigonometric equation: 5sin theta+3=0 for values of theta from 0° to 360
Answer:
126.9° and 323.°1
Step-by-step explanation:
I'll use x instead of theta and you can replace it by theta
5 sin x + 3 = 0
5 sin x = - 3
Sin x = - 3/5
Key angle = sin¯¹ 3/5 = 36.8698
Sin negative, so we use the third and fourth quadrants
X = 90+36.8698, 360-36.8698
X = 126.8698, 323.1302
Theta = 126.9°, 323.°1
A particle moves along a hyperbola
xy = 12.
As it reaches the point (4, 3), the y-coordinate is decreasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?
first off, let's notice that "x" and "y" are encapsulating a function in terms of time or namely "t", and that dy/dt is decreasing at a rate of 3 cm/s, since the rate is decreasing, that makes the rate negative, thus is changing at -3 cm/s.
\(xy=12\implies \stackrel{product~rule}{\cfrac{dx}{dt}y~~ + ~~ x\cfrac{dy}{dt}}~~ = ~~0\implies \cfrac{dx}{dt}y~~ + ~~x(-3)~~ = ~~0 \\\\\\ \cfrac{dx}{dt}y=3x\implies \left. \cfrac{dx}{dt}=\cfrac{3x}{y} \right|_{(\stackrel{x}{4},\stackrel{y}{3})}\implies \cfrac{3(4)}{3}\implies 4\)
"If 54 oranges costs find the cost - Of 3 I
oranges
Answer:
Step-by-step explanation:
Cost of 3 oranges = cost of 54 oranges / 18
the square below represents one whole what percent is represented by the shades area.
Answer:
Step-by-step explanation:
shaded area=6×1=6 sq. units
whole area=10×10=100 sq. units
reqd. =6/100 ×100=6 %