Answer:
4/5
Step-by-step explanation:
9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days
Answer:
0.5818
Step-by-step explanation:
Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.
Answer:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]
Given that:
[tex]\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67[/tex]
Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818
175 miles at a speed of 25 miles per hour?
Answer:
That would take you 7 hours to get to your location.
I need help with Number 7 please!!!
Answer:
8.06 ft or [tex]\sqrt{65}[/tex] ft
Step-by-step explanation:
Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you [tex]\sqrt{65}[/tex] ft per side. This can be approximated to 8.06 ft.
A jewelry store sells necklaces in lengths that vary from 16 inches to 22 inches. Any necklaces outside of this criteria are rejected by the store’s buyers and will not be offered for sale in the store. Write an equation representing the minimum and maximum necklace lengths sold by the jewelry store.
Answer:
16-22
Step-by-step explanation:
Answer:
i agree with the other person
Step-by-step explanation:
24 + 28 as a product of two factors using the GCF and distributive property
Answer:
52
Step-by-step explanation:
Using GCF:
The factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24
Factors of 28 are; 1, 2, 4, 7, 14, 28
The highest greatest common factor is 4.
Now, 4 × 6 gives 24
While 4 × 7 gives 28.
Thus, our original equation is now;
4(6 + 7)
Using distributive property, let's add the number in the bracket first to get;
4(13).
Now,we multiply out to get 52.
Answer:4(7+6)
Step-by-step explanation: i passed the quiz with an 100%
In the past, patrons at a cinema spent an average of $ 2.50 for popcorn with standard deviation of $ 0.90. The amount of these expenditures is normally distributed . Following an intensive public campaign about the negative health effects of eating popcorn by a local medical school, the mean expenditures for a sample of 18 patrons is found to be $ 2.10. At 0.01 level of significance, does this recent experience suggest decline in spending
Answer:
There's no evidence to show that the recent experience suggests a decline in spending.
Step-by-step explanation:
We are given;
Population mean; μ = $2.5
Population Standard deviation; σ = $0.9
Sample mean; x¯ = $2.1
Sample size; n = 18
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis; H0: μ ≥ $2.5
Alternative hypothesis; Ha: μ < $2.5
z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (2.1 - 2.5)/(0.9/√18)
z = -0.4/0.2121
z = -1.886
Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;
P-value = 0.2965
This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.
A pumpkin grows with a constant of proportionally of 4 cm in diameter per week. If Susan begins growing her pumpkin 10 weeks before Halloween will her pumpkin be larger that 50 cm in diameter?
Which is true 0.45>0.5
0.45<0.5
4.05=0.45
4.05 <0.45
Answer:
4.05 is greater than 0.45
Write and equation of a line perpendicular to y=-5x+8 and passes through (10,4)
im not sure just yet
△BCD≅△GEF . If BC=10 , CD=3x+8 and EF=4x+6 , then what is the measure of CD ?
Given :-
ΔBCD ≅ ΔGEF
Then :-
∠B <=> ∠G ( ∠B = ∠G )
∠C <=> ∠E ( ∠C = ∠E )
∠D <=> ∠F ( ∠ D = ∠F )
BC <=> GE ( BC = GE )
CD <=> EF ( CD = EF )
BD <=> GF ( BD = GF )
Using this let us find CD .
CD = EF
Which means :-
[tex] 3x + 8 = 4x + 6[/tex]
[tex]8 = 4x + 6 - 3x[/tex]
[tex]8 = 1x + 6[/tex]
[tex]1x + 6= 8[/tex]
[tex]1x = 8 - 6[/tex]
[tex]1x = 2[/tex]
[tex]x = 2[/tex]
Then :-
EF =
[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]
CD =
[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]
Therefore , CD = 14 .△BCD≅△GEF
The measure of CD is 14
Given :
Two triangles are congruent
△BCD≅△GEF
When triangles are congruent then the sides are equal
[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]
Given that CD=3x+8 and EF=4x+6
[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]
The value of x=2
Now we find measure of CD
[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]
The measure of CD is 14
Learn more : brainly.com/question/18373823
Which equation expresses d in terms of t and a?
Answer:
Option D
Step-by-step explanation:
I got it right
PLEASE HELP ASAP
IT AN EMERGENCY
We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.
If the marked angles were between the tickmarked sides, then we could use SAS.
A random sample drawn from a population with mean μ= 66 and standard deviation σ= 6.
Required:
a. Comment on the sampling distribution of the sample mean with n = 16 and n = 36.
b. Can you use standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes?
c. Report the probability if you answered yes to the previous question for either sample size.
Answer:
In step by step explanation
Step-by-step explanation:
a) Normal distribution N( 0, 1 )
If the sample size is equal n = 16 we have to use t-student distribution since n < 30.
In the case n = 36 we should use normal distribution (z tables)
b) We can´t use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 in the first case n < 30 .
We can calculate that probability in the case of the second sample
Is this a function or not a function? (Picture)
Answer:
Not a Function
Step-by-step explanation:
whats the answer of 3/4 + 1/4 =
Answer:
1
Step-by-step explanation:
3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.
Which of the following represents this function written in intercept form
y= - x2 – x+ 6
A. v= - (x − 2)(x+3)
B. v= (-x+3)(x-4)
c. v= - (x + 2)(x+6)
D. v= - (1+2)(1-6)
Answer:
v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12
v = 12x²-14x+12 standard form
Step-by-step explanation:
(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?
Answer:
Correct option: F.
Step-by-step explanation:
The slope of a line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.
For PR, use P=(-7,7) R=(-4,3). Now calculate the slope
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]
For RT, use R=(-4,3) (2,-5). Calculate the second slope:
[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]
If both slopes are equal, then:
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]
Correct option: F.
HELP PLEASEEEE! suppose the average wait time for a sandwich at a local deli is 5 min with a standard deviation of 3 min. Is it unusual to get a sandwich in only 12 minutes?
A. Yes because 12 min is more than two standard deviations below the mean.
B. No, because 12 min is less than two standard deviations above the mean.
C. No, because 12 min is more then two standard deviations above the mean.
D. Yes because 12 min is more than two standard deviations above the mean.
Answer:
D
Step-by-step explanation:
Here, we want to state if it is unusual or not get a sandwich in 12 minutes given the mean time and the standard deviation.
The answer here is that it is unusual.
The reason why it is unusual is because, two standard deviations above the mean in this case will be 5 + 3 + 3 = 11
Looking at the value given which is 12, we can see that this value is actually greater than the value which is 2 standard deviations above the mean.
What we are saying here is that 12 is greater than two standard deviation above the mean which is valued at 11
Round 24,837,618 to the ten thousands place. I’m on math college so I need help on this problem!
Answer:
24,840,000
Step-by-step explanation:
Round up of numbers includes rounding them up to a given place value.
We are asked to round 24,837,618 to the ten thousands place.
The ten thousands place is the place where the number 3 in the number is located.
The number after 3 = 7 is a number above 5. Hence, we add 1 to 3, making it 4
Therefore, 24,837,618 to the ten thousands place is 24,840,000
4(3x + 1)
What is the answer to 4(3x + 1)
Answer:
Answer is 12x+4. Hope that helped.
Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)
Answer:
-3 = -12
Step-by-step explanation:
Have a great day
I hope that is the answer you are looking for :)
Use rounding to estimate the product of 5,555 and 4,444 round both numbers to the nearest thousand to find answer
Step-by-step explanation:
Given that the first number is
5,555 and
the second number is 4,444
the product of 5,555 and4,444= 24686420
to the nearest thousand 5,555= 6000
to the nearest thousand 4,444= 5000
Therefore the product of 6000 and 5000 is
=6000x5000
=30000000
ANSWER PLEASE NEED HELP ASAP
Answer: 43 should be divided into 0.37 to find “x”.
Step-by-step explanation:
Kai is making a chessboard using pieces of wood that measure 1 square inch.
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A cube has a volume of 125 cubic inches. What is the length of each edge?
Answer:
The correct option will be: c. 8 pieces of wood.Step-by-step
Armando and Mikayla have a new grandson. How much money should they invest now so that he
will have $80,000 for his college education in 18 years? The money is invested at 8% compounded
annually
9514 1404 393
Answer:
$20,020
Step-by-step explanation:
The future value formula is helpful.
FV = P(1 +r)^t
$80,000 = P(1.08^18) = 3.9960195P
P = $80,000/3.9960195 = $20,019.92
They should invest about $20,020 now.
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...
Multiples of 15:15, 30, 45, 60, ...
The least common multiple is 60.
What is Maria's error?
Answer:
answer B
Step-by-step explanation:
just got it right on the test.
Answer:
the answer is B, Maria listed factors of each number instead of multiples.
Step-by-step explanation:
In 2 /3 ÷ 4 /5 the is 2/ 3 .
Answer:
5/9
Step-by-step explanation:
2/3 • 5/2 • 2/3
1/3 • 2/5 • 2/3
multiply 1/3 for 5/2
5
-----------
3 • 2
multiply 3 for 2
5/6 • 2/3
anular el factor común 2
5/3 • 1/3
multiply 5/3 for 1/3
5
------------
3 • 3
multiply 3 for 3
5/9
the result
5/9
form decimal
0.5
Find x.... Figure is not drawn to scale.
Answer:
33.
Step-by-step explanation:
I assume that the 2 triangles are similar.
x/77 = 24/56
56x = 77*24
x = (77*24(/56
x = 33.
what is /4 of 3/4 =
What is 1/4 of 3/4
Answer:
3/16
Step-by-step explanation:
1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:
3/16
Answer:
3/16
Step-by-step explanation:
1/4 of 3/4
= 1/4 × 3/4
you multipy the numerators together and then multiply both denominators
ie. 1×3 divided by 4×4
= 3/16
Rewrite the equation in standard form.
y=2x-10
Answer:
The equation in standard form:
2x-y-10=0