well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.
now, of those 62.5% fellows only 40% have finished only half of it, how many are those?
well, what's 62.5% of 32? what's 40% of that much?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]
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!Tamara received a credit of $25 at the yarn store. What amount can she spend using the credit?
$50
$40
$30
$20
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
When Yosef was born, his parents put $1000 into a savings account that earns 4%
interest each year. How much will be in the account when he is 21?
Answer:
$840 interest
Step-by-step explanation:
4% of 1000 is 40
40•21= 840
If you are adding the interest rate and the $1000 together then you get $1840
Hope this helps
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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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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HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
D.
Step-by-step explanation:
4/5 ÷ 3 = 4/5 * 1/3
This is 1/3 of 4/5.
simplifica la expresion 3(6-2)+4³÷8_3²=
Answer:
la ma espole
Step-by-step explanation:
Answer:
11................. ..............
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]
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.
Can't seem to figure out
9x9 = ? whattttttttttttttttt
Answer:
81
Step-by-step explanation:
9x9 = 81
The value of 1/2÷1/3=
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
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
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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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.
Evaluate the expression: 18-3(1+4)
Answer:
3
Step-by-step explanation:
Multiply 3*5
than calculate 18-15
you will get the solution 3
REMEMBER PEDMAS ( parentheses, expodents, divide, multiply, add and subtract
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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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
Special right triangles.
Find u.
Please help due in 30 min!!
Answer:
2 km
Step-by-step explanation:
use the 45-45-90 triangle formula to find u.
Solve for x.
2x + 6
X + 9
x = [?]
Answer:
wheres the y
Step-by-step explanation:
Answer:
Solution given:
2x+6+x+9=180°[alternative exterior angle is a supplementary]
3x=180-15
x=165/3
x=55
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
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
Learn more about volume:
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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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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:
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
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
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
Complete the following ordered pairs
(x,y) so that they satisfy the equation
5x+3y=15.
(-6,3)
(3,0)
( , -10)
(, 10)
Answer:(0,5
Step-by-step explanation: