Step-by-step explanation:
If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds
Both Dominic and Zoe are 4 feet 6 inches tall. What is their combined height in inches?
Answer:
Their combined height is 108 inches
Step-by-step explanation:
1 ft = 12 inches
12 * 4 = 48 inches
48 + 6 = 54 inches
54 * 2 = 108 inches
Answer:
9 ft and 0 inches
Step-by-step explanation:
4 ft 6 inch + 4 ft 6 inch = 8ft 12inch
12 inches = 1 foot
8 ft + 1 ft = 9ft
An insurance company divides its policy holders into three categories: low risk, moderate risk, and high risk. The low-risk policy holders account for 55% of the total number of people insured by the company. The moderate-risk policy holders account for 25%, and the high-risk policy holders account for 20%. The probabilities that a low-risk, moderate-risk, and high-risk policy holder will file a claim within a given year are respectively 5%, 15% and 60%. Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
Answer:
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Policy holder files a claim.
Event B: The person is a moderate-risk policy holder.
Probability of filling a claim:
5% of 55%(low risk)
15% of 25%(moderate risk)
60% of 20%(high risk).
So
[tex]P(A) = 0.05*0.55 + 0.15*0.25 + 0.6*0.2 = 0.185[/tex]
Files a claim and is moderate risk:
15% of 25%(moderate risk)
So
[tex]P(A \cap B) = 0.15*0.25 = 0.0375[/tex]
Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.185} = 0.2027[/tex]
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
Which is NOT a line of symmetry?
Answer this correctly I’ll give brainalist + 10 points
Answer: 118
Step-by-step explanation:
These angles are a linear pair. They sum to 180 degrees.
62 + x = 180
-62 -62
X= 118
what is the slope of the line y=4?
Answer:
there is no slope, or a slope of 0.
Step-by-step explanation:
In a study of the accuracy of fast food drive-through orders, one restaurant had orders that were not accurate among orders observed. Use a significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?
Identify the null and alternative hypotheses for this test.
Answer:Null hypothesis:
Alternative hypothesis:
The p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .
and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis
Step-by-step explanation:
Data given and notation n
n=367 represent the random sample taken
X=32 represent the orders that were not accurate
estimated proportion of orders that were not accurate
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
So the p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .
Jason wants to score at least 15 points in his basketball game. He scored 8 points in the first half of the game. He needs to score b points to reach his goal. Which inequality can be used to find the possible values for b?
A. b +8 ≥ 15
B. b +8 > 15
C. b - 8 ≤ 15
D. b - 8 < 15
Answer:
A.
Step-by-step explanation:
Let's say that b=7. This would mean that he has equaled his goal. If it is greater than 7, the equation still makes since.
5(t+4) please heelllpppp
Answer:
5t+20
Step-by-step explanation:
2. In triangle ABC, SA is a right angle, and m B = 45°
(1 point)
C
16 ft
A
B.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
O 16 ft
O 16.2 ft
O 16.5 ft
O 32 ft
Answer:
[tex]16\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.
n in this case is 16ft
Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]
BC = [tex]16\sqrt{2}[/tex]
What is the volume of the triangular prism?
A) 12 cm3
B) 18 cm3
C) 24 cm3
D) 48 cm3
Answer:
I believe that the volume of the triangular prism is 24 cm
Which graph shows a dilation?
Answer:
the first one
Step-by-step explanation:
When the polynomial 4x4–13x2–2x + 1 is divided by the polynomial x –2, what is the remainder?
A) -23
B) 1
C) 9
D) 17
Step-by-step explanation:
answer is C
the process is shown in picture
Given: 1 yard = 3 feet
yards = 4 feet
Answer:
12
Step-by-step explanation:
4 times 3 = 12
Beginning with the equation x= -90, write the new equation produced by dividing both sides by 10
Answer:
x/10 = -9
Step-by-step explanation:
You are given the equation: x = -90
You are asked to divide 10 from both sides. Simplify:
(x)/10 = (-90)/10
x/10 = -90/10
x/10 = -9
x/10 = -9 is your answer.
~
Someone please help me
Answer:
6) K is less than negative seven.
7) m is less than or equal to two and three fifths.
Step-by-step explanation:
Answer part C. I want step by step on this problem.
Answer:
[tex]Rate = 58007956.5217[/tex]
Step-by-step explanation:
Solving (c): The rate of change:
In this concept, the formula to use is:
[tex]Rate = \frac{V2 - V1}{t2 - t1}[/tex]
Where
[tex](t1,v1) = (0,62817000)[/tex] ----- In 2004
[tex](t2,v2) = (23,1397000000)[/tex] ------ In 2026
So, we have:
[tex]Rate = \frac{1397000000 - 62817000}{23 - 0}[/tex]
[tex]Rate = \frac{1334183000}{23}[/tex]
[tex]Rate = 58007956.5217[/tex]
pls answer for me I mark Brainlest
Answer:
B. 54
Step-by-step explanation:
For surface area you have to plug in the side length to the Surface area equation being: A=6a^2
When you plug 3 in for a, you get 54
Hope this helped!
If lin has at most 20 dollars in his pocket can he have 10 dollars?
Answer:
Yessir
Step-by-step explanation:
Answer:
Yes!!
Step-by-step explanation:
Yes, Lin can have 10 dollars in his pocket
We know that 10[tex]\leq[/tex]20 so therefore it is possible for him to have $10
in a grocery store, a $21 case of toilet paper is labeled, “get a 20% discount” what is the discount? what is the sale price of the toilet paper?
Answer:
$16.8
Step-by-step explanation:
put 20% into decimal form 20/100 = 0.2
0.2 x 21 = $4.2
21-4.2 = $16.8
The Discount will be "$4.2" and the Sale price will be "$16.8".
According to the question,
Labeled case of toilet paper,
$21Get discount,
20%or,
0.2Now,
→ 20% of $21 will be:
= [tex]0.2\times 21[/tex]
= [tex]4.2[/tex] ($) (Discount)
→ The sale price will be:
= [tex]Labeled \ case - Discount[/tex]
By substituting the values, we get
= [tex]21-4.2[/tex]
= [tex]16.8[/tex] ($)
Thus the above approach is right.
Learn more:
https://brainly.com/question/11672774
If I worked 7:30pm and got out at 6am how many hours did I worked
Step-by-step explanation:
you have worked for 10 and a half hours I.e 10½ hours
-4x=16 what is x in the equation
Answer: x=-4
Step-by-step explanation:
-4x=16
Divide by -4 on each side to cancel it out
x=-4
What is the area of the shaded sector of the circle?
O 201 units?
O 40tt units?
O 180 units?
O 400 units?
Answer: 180 pie units^2
Step-by-step explanation:
Got it right on edg
The area of the shaded sector subtending 162° at the center is 180π units².
The option (3) is the correct answer.
What is the sector of a circle?A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
In the diagram, we are given a circle with a shaded sector:
The radius of the circle (r) = 20 units
The angle subtended by the shaded sector = 162°
To find the area of the shaded sector, we can use the formula:
= [tex]\frac12 \theta r^2[/tex]
Where θ is the angle subtended in radians and r is the radius.
162° = 162° × (π/180°) rad
= 0.9 π rad
area of the shaded sector = (1/2) × 0.9 π × 20² = 180π units²
Hence, the area of the shaded sector subtending 162° at the center is 180π units².
To learn more about sector of a circle, click:
https://brainly.com/question/25305793
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a snowboard at a local shop normally cost $400 over a Labor Day weekend the snowboard is on sale for 60 60% off what is the sale price of the snowboard
Answer:
240
Step-by-step explanation:
A trapezoid has an area of 13.5 square inches. The bases are 3 inches and 6 inches. Solve to determine the height of the trapezoid.
h=blank in.
Answer:
h=3 in
Step-by-step explanation:
PLZ GIVE ME BRANELIST
What are the first four terms of a geometric sequence if its common ratio is 4 and its first term is 3.2?
Answer:
3.2, 12.8, 51.2,204.8
Step-by-step explanation:
simply use the common formula of geometric series:
tn= a.r^(n-1)
where, tn= nth term (term whose value you want to obtain)
a= first term
r= common ratio
n= nth value
Which statements are true??
is this right ? if not please help me !
ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
You are correct!!! :)
Step-by-step explanation:
Answer:
y = -3/2 x - 2
Step-by-step explanation:
This should be correct if not I'm sorry I tried my best.
The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???
Answer:
Step-by-step explanation:
g(f(10)) = g(½·10+1)
= g(6)
= 6+2
= 8
Answer:
the answer is 10
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
No solutions.
Step-by-step explanation:
No solutions because these two lines are parallel.
You can tell by the slopes. Both slopes are equal -3.
The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.
Help me me please now
Answer:
AAA
Step-by-step explanation:
The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.