Which of the following statements are true? Select all that apply.
A triangle is shown.
A and B are independent events.
P(A) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
O B. 0.6
O C. 0.4
D. Not enough information
Answer:
Not enough information
Find the measure of angle A.
Answer:
30 degrees
Step-by-step explanation:
Keep this in mind, ALL triangles must equal 180 degrees.
This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.
[tex]90 + (x+37) + (x+67) = 180\\[/tex]
Now solve for x by isolating x
[tex]2x + 194 = 180\\2x=-14\\x=-7[/tex]
Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.
-7 + 37 = 30
<A is 30 degrees.
Check your work
Plug in -7 where you see x.
[tex]90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180[/tex]
Turns out this was a 30-60-90 triangle. ✅
simplify the following expression
19 - ( 3 - 5b )
Answer:
5b+16
Step-by-step explanation:
Answer:
[tex]5b+16[/tex]
Step-by-step explanation:
[tex]19-(3-5b)[/tex]
Remove parentheses
[tex]=19-3+5b[/tex]
Subtract the numbers: [tex]19-3=16[/tex]
[tex]=5b+16[/tex]
Find the location of A' given that A is (7, 1).
Translate 1 unit left.
The location of A' is ____
Answer:
We conclude that the location of A' is: A'(6, 1)
Step-by-step explanation:
Given
A(7, 1)To determine:
The location of A'
Translation Rule:
As we have to translate 1 unit left, meaning we need to subtract 1 unit from the x-coordinate of point A(7, 1) to determine the location of A'.
In other words, the translation rule is:
A(x, y) → A'(x-1, y)
as
A(7, 1)
so
A(7, 1) → A'(7-1, 1) = A'(6, 1)
Therefore, we conclude that the location of A' is: A'(6, 1)
A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
Answer:
Answer D
Step-by-step explanation:
120 + 81+ 39=240 silver bikes
80+54+26= 160 black bikes
Total 200 + 135 + 65= 400
240+ 160=400
Answer:
Answer is C
Step-by-step explanation:
ap3xxx
PLEASEEEE HELP ME!!!!!
Answer:
look it up on tiger algerbra
Step-by-step explanation:
Answer:
3 TIMES 2 DONT EQUAL 7
Step-by-step explanation:
The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?
A. $28 dollars
B. $14dollars
C. $11dollars
D. $10 dollars
Answer:
$11
Step-by-step explanation:
0.50 × 6 = 3
3 + 8 = 11
Answer - $11
Hope this helps
Matt got on a scale and weighed 243.28 pounds. After dieting and exercising for several weeks, he lost 17.29 pounds.
Answer:
Step-by-step explanation:
243.28-17.29=225.99 after the diet
Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
from a 40-gram sample after 2 hours.
Answer: 3.36
Step-by-step explanation:
f(x)=214(1-.50)^6 6= amount of times 20 min goes into 2 hrs
f(x)=214(.50)^6
.5^6=.0157
f(x)=214(.0157)
3.36
What is the range in interval notation?
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
I needed to write this is point slope form which I am having some difficulty understanding. Please tell me if I am correct or incorrect! Thank you
Answer:
It looks like you wrote the equation in point-slope form perfectly!
But for part c, it seems as though x1 and y1 would represent parts of the midpoint formula. So, I would specify and say that they represent the midpoint, not just a point.
Step-by-step explanation:
what is 3^6 x 3? Plz show how you solved it!
Understanding how a budget is created will help you develop good financial decision making skills. This is known as: Question 3 options: Financial expertise Financial literacy Accounting Math
Answer:
True mate
Step-by-step explanation:
The budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.
What is Budget?Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.
Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.
Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.
Therefore, it can be concluded that option 2nd is correct.
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complete the equation whose slope is 5 and y-intercept is (0,4)
10. A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint expressed as a fraction? *
Answer:
1/5
Step-by-step explanation:
7/35 and that simplifies to 1/5
PLZ help of u know the Answer for Sure.
Answer:
the answer would be -2, -6 and if you need more help i believe you can work up to it
Step-by-step explanation:
max is thinking of a number which he calls n
Answer:
what are you trying to ask?
Step-by-step explanation:
Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding
Answer:
i personally think the 65 in. one
Step-by-step explanation:
2+2jjjjjjkkkkkkuyuoo
Answer:
4
Step-by-step explanation:
1+1+1+1=2+2=4
i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths digit, and my hundred thousandths digit is twice my hundredths digit. the thousandths digit is three less than my hundredths digit. my ten thousandths digit is the sum of my tenths and thousandths digit. what number am i?
Answer:
.
Step-by-step explanation:
Answer:
0.24857
Step-by-step explanation:
Less than 1 is 0. and
only even prime is 2
It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Step-by-step explanation:
From the question we are told that
The average time taken is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is [tex]n = 30[/tex]
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The null hypothesis is [tex]H_o: \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5 \ seconds[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]
=> [tex]z = 0.7825[/tex]
From the z table the area under the normal curve to the right corresponding to 0.7825 is
[tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]
So from the question we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
p leaase help your aswome
Answer:
thx
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
Answer:
2 X 10 X 10 X 10 X 10 X 10 = 500000
9 X 10 X 10 X 10 X 10 X 10 X 10 X 10 = 90000000
90000000 / 500000 = 180 Aprox.
180 = 18
Step-by-step explanation:
if you answer this you are a genius.
Answer:
Question 1: 3380g
Question 2: 2g/cm^3
Step-by-step explanation:
I used online mass and density calculators. Hope this helps :)!
which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
Which of the following are two-step equations? Choose more than
one answers
Answer:
i think a b d f
Step-by-step explanation:
One batch of vegetable soup uses 2 cups of chopped onions 1.5 cups of chopped celery and one cup of chopped carrots select each ratio that will help a chef compare cups of chopped carrots to the total of cups of chopped vegetables circle all that apply
Answer:
4.5
Step-by-step
2+1=3+1.5+4.5
21. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
O equiangular
O obtuse
O acute
Oright
The solution is Option C.
The triangle with sides 6 , 8 and 9 is an acute triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the sides of the triangle is
The measure of side AB = 6
The measure of side BC = 8
The measure of side AC = 9
Now , for a triangle
a² + b² > c² , the the triangle is an acute triangle
a² + b² = c² , then the triangle is right triangle,
a² + b² < c² , then it is an obtuse triangle
Now , If it is an equilateral triangle , a = b = c
Substituting the values in the equation , we get
AC² < AB² + BC²
9² < 6² + 8²
81 < 36 + 64
81 < 100
Hence , the triangle ABC is an acute triangle
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A movie theater has 287 crates of popcorn. Each crate holds 6 pounds of popcorn. There are 15 people who work at the theater. How many pounds of popcorn are there altogether?