Answer:
yes it is a rational number.
Step-by-step explanation:
Instructions: find the missing side length in the image below
Answer:
16
Step-by-step explanation:
same as other side should be
but i dont know why theres a 45 :(
Length of missing side is 36 units.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
Let length of missing side is x
Since horizontal lines are parallel, so ratio of sides are equal
20/16 = 45/x
x= (45/20)16
x = 36
Hence, length of missing side is 36 units.
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Consider the following two questions designed to assess quantitative literacy.
What is 15% of 1000?
A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much money would a customer save on the television during this sale?
Suppose the first question is asked of 200 randomly selected college students, with 168 answering correctly; the second one is asked of a different random sample of 200 college students, resulting in 147 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p1 for the true proportion students who answered the question without context correctly and p2 for the true proportion of students who answered the question with context correctly.)
State the relevant hypotheses.
H0: p1 − p2 = 0
Ha: p1 − p2 < 0H0: p1 − p2 = 0
Ha: p1 − p2 ≠ 0 H0: p1 − p2 = 0
Ha: p1 − p2 > 0H0: p1 − p2 < 0
Ha: p1 − p2 = 0H0: p1 − p2 > 0
Ha: p1 − p2 = 0
Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z=P-value=
State the conclusion in the problem context.
Fail to reject H0. The data does not suggest that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one.Reject H0. The data does not suggest the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. Fail to reject H0. The data suggests the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one.Reject H0. The data suggests that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Answer:
A customer would save $ 150 on the television during this sale and pay
$ 850.
Reject H0. The data suggests that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one
Step-by-step explanation:
15% of 1000
=0.15 *1000= $ 150
A customer would save $ 150 on the television during this sale.
p1 = the true proportion students who answered the question without context = 168/200
p2 = the true proportion of students who answered the question with context correctly = 147/200
The null and alternate hypotheses are
H0: p1 − p2 = 0 i.e the true proportion of correct responses to the question without context is the same as that for the one with context
against the claim
Ha: p1 − p2 > 0 that is the true proportion of correct responses to the question without context exceeds that for the one with context
2) The significance level is set at 0.05
3) The critical region is z > ± 1.645
4) The test statistic
Z= p1-p2/ sqrt [pcqc ( 1/n1+ 1/n2)]
Here p1= 168/200= 0.84
and p2= 147/200=0.735
pc = 168+147/200+200
pc= 315/400= 0.7875
qc= 1-pc= 1-0.7875=0.2125
5) Calculations
Z= p1-p2/ sqrt [pcqc ( 1/n1+ 1/n2)]
z= 0.84-0.735/√ 0.7875*0.2125( 1/200+ 1/200)
z= 0.105/0.0409076
z= 2.5667
6) Conclusion
Since the calculated value of z= 2.5667 lies in the critical region the null hypothesis is rejected and it is concluded that the true proportion of correct responses to the question without context exceeds that for the one with context.
The value of z is 2.5668.
The value of p is 0.01016
Solve the exponential equation. 1/16 = 64^4 x − 3
Answer:
x=7/12Step-by-step explanation:
1/16=64^4x-3
1/4^2=(4^3)^4x-3
4^-2=(4^3)^4x-3
4^-2=4^3*(4x-3)
Since the bases are equal (to 4), the exponents must be equal to each other.
-2=3*(4x-3)
-2=12x-9
-2+9=12x
7=12x
7/12=x
x=7/12
So the answer is x=7/12
Please mark me brainliest if this helped!
9. A company made jewelry boxes in the shape of right rectangular prisms.
The box measures 4 in. wide, 6 in. long, and 45 in. tall. What is the
volume of the jewelry box?
145 cubic inches
A
B.
28 cubic inches
C.
96
96 cubic inches
D.
108 cubic inches
Answer:
d
Step-by-step explanation:
4*6*45=1080/10=108 in
Find the area of the following figure
Answer:
880?
Step-by-step explanation:
I just woke up
Answer 880 is your answer
Step-by-step explanation:
Im strugling on these question
Answer and Step-by-step explanation:
How're you struggling with this? Simply look for a point that is inside of the triangle.
The answer is A. (-1, -2)
because this point is INSIDE the triangle.
#teamtrees #PAW (Plant And Water)
Gordon, June and Sushil share some sweets in the ratio 4:4:3. Gordon gets 11 more sweets than Sushil. How many sweets are there altogether?
Answer:
121
Step-by-step explanation:
4:4:3
4x-3x=11
x=11
Gordon 44
June 44
Sushil 33
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
D.
Step-by-step explanation:
4/5 ÷ 3 = 4/5 * 1/3
This is 1/3 of 4/5.
Determine the value of x.
A) 2√3 B) 6√3 C) 12 D) 12√3
The required measure of the value of x is given as 2√3. Option A is correct.
What are trigonometric equations?
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
here,
Consider the given triangle,
perpendicular = 6
base = x
Applying trigonometric operation,
tan30 = perpendicular/base
tan30 = 6/ x
x = 6/√3
x = 2√3
Thus, the required measure of the value of x is given as 2√3. Option A is correct.
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Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
What is the conditional statement?There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.
The converse statement should also be true when its condition is reversed.
Let's check all the options. Then we have
A. If a figure is a square, then it has four sides. The converse of the statement is false.
B. If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.
C. If two angles are congruent, then they have the same measure. The converse of the statement is true.
D. If two planes are parallel, then they have no points in common. The converse of the statement is true.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
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PLEASE HELPP
Classify the solid.
Your answer
Answer:
Pentagonal pyramid
Step-by-step explanation:
Hope this helps
Jackson has a bag of candy full of 10 strawberry chews and 10 cherry chews
that he eats one at a time. Which word or phrase describes the probability
that he reaches in without looking and pulls out a cherry chew?
an equal chance or 50-50
O impossible
Submit Answer
certain
likely
Teddy works part-time in the Sony Store. He has a base salary of $12.50/h plus a commission of 12% of the total sales he makes.
If Teddy works 10 hours and sells $1500 electronics, how much will he earn this week?
Answer: $305
Step-by-step explanation:
1) 12.50 multiplied by 10= 125
2) 12% of 1500 is 180
3) 125+180=305
Pls include step by step explaination
Answer:
X = 2/3
Step-by-step explanation:
there is some misinformation here but I’m just gonna assume these rectangles are proportional.
If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3
So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3
hope this helps :)
What is the probability of the spinner landing on the section labeled G?
Hi there!
[tex]\large\boxed{P = \frac{1}{4}}[/tex]
We can assume from the image that the region G is approximately 1/4 of the total spinner.
Thus, the probability of the spinner landing on section G is 1/4.
Can't seem to figure out
Need help I can’t solve it
Answer:
Coupon A is better by $2.80.
Step-by-step explanation:
You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.
ReductionThe price reduction offered by coupon B is ...
0.60 × $87 = $52.20
ComparisonClearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...
$55.00 -52.20 = $2.80
Coupon A gives the lower price by $2.80.
Ming used the calculations shown to find out how much he would spend on 6 pound of ground beef if 10 pounds cost $25.00 what was mings error
Answer:
6 pounds of ground beef cost $15.
Step-by-step explanation:
[tex]\frac{6}{10} :\frac{y}{25}[/tex]
10 × y = 6 × 25
10y = 150
10y ÷ 10 = 150 ÷ 10
y = 15
What are four consecutive even integers if the first integer is −4? Responses
A) -4,-3,-2,-1
b) -4,-2,0,2
c) -4,-6,-8,-10
D)-4,-5,-6,-7
The asked consecutive even integers are -4,-2,0,2
What are consecutive integers?Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.
Given that, what are four consecutive even integers if the first integer is −4
We know that, Consecutive even integers are even integers that follow each other, and they differ by 2. If x is an even integer, then x + 2, x + 4 and x + 6 are consecutive even integers.
Therefore, here x = -4,
-4+2 = -2
-4+4 = 0
-4+6 = 2
Hence, the asked consecutive even integers are -4,-2,0,2
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Find the area of a regular 12-sided polygon inscribed in a circle of radius
8 cm.
area of n sided polygon inscribed in a circle is
A = (1/2)nr²sin(360/n) (r = radius of circle)
A = (1/2)12*8²*sin30
= 1/2*12*64*1/2
A = 192 square unit
Taylor's band is recording their first studio album at Midnight Studios. The studio's
day rate is $75 per day with a fee of $50 per hour for their sound engineers. The
band has $375 and they think they can earn up an additional $200 off merch sales.
What is the range of hours the band can record at the studio within their budget?
Number of Hours the band can record there music is 10hrs
What are Word Problems ?A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.
A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Word issues, also known as narrative problems, may be found in both daily life and the Common Core State Standards for every school level, from K to 12. For everything from counting pennies to calculating a gratuity, you can utilize the three primary forms of word problems: part-part whole, separate and join, and multiply and divide.
Total money the band has after selling the merch is = $375 + 200 = $575.
Rate for studio is $75 per day.
Total money left = $575 - 75 = $ 500
So number of Hours the band can record there music is= 500/50 = 10hrs.
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The graph of g(x) = f(x+4) is the graph of f(x) moved 4 units________
Answer:
to the left
Step-by-step explanation:
This looks backwards to some, but it's correct: replacing x with x + 4 in a function moves the graph 4 units to the left.
The reason?
Just suppose that f(6) = 7. To get f(x + 4) to equal 7, you have to use 2 as a value for x, 4 units less than the 6 that was used before.
See attached image for an example.
[tex]y=x^2[/tex] is the black graph
[tex]y=(x+4)^2[/tex] is the red graph
Tamara received a credit of $25 at the yarn store. What amount can she spend using the credit?
$50
$40
$30
$20
A map has a scale of 1 inch=35 miles. What is the actual distance if the distance on the map is 3.5 inches
Answer:
112.5 miles
Step-by-step explanation:
scale: 1 inch= 35 miles
this means that for every inch on a map, that is 35 miles in real life.
if the distance on a map is 3.5 inches, and you want to find out how much the distant would be in real life, all you have to do is:
3.5 x 35 = 112.5
9x9 = ? whattttttttttttttttt
Answer:
81
Step-by-step explanation:
9x9 = 81
A tank is 80c ,nu 60cm by 75cm, find the volume of water that will fill up
A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.
To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:
Volume = length * width * height
Using the dimensions given, we can plug them into the formula as follows:
Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3
This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up
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Answer:
Step-by-step explanation:
To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:
60 cm x 75 cm x 80 cm = 36,000 cm^3
So the volume of water that will fill up the tank is 36,000 cubic centimeters.
Alternatively this also can be written as 806075 cubic cms
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The value of 1/2÷1/3=
evaluate 6²-2(5+1+3)
Answer:
18
Step-by-step explanation:
36-10-2-6
26-8
18
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
someone help me please ?
9514 1404 393
Answer:
3/2
Step-by-step explanation:
The scale factor is the ratio of corresponding side lengths.
larger/smaller = (21/2)/7 = 21/14 = 3/2
The scale factor is 3/2.
Solve for x.
A: 14
B: 8
C: 11
D: 9
An acute triangle is made up of three acute angles. An obtuse triangle is formed by one acute angle and two obtuse angles and x = 9.7692307692
what is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. In Euclidean geometry, any three points identify a distinct triangle and, concurrently, a distinct plane if they are not collinear.
13x + 3 + 40 + 10 = 180
13x = 127
x = 9.7692307692
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