Answer:
25*2=50
OR
50/2=25
Step-by-step explanation:
If Paul has made 50 cupcakes so far, that means he's been baking for two hours.
25/hr
50 in total
50/2=25
25*2=50
Hucts
Active
Missy estimated that the product of 4.5 and 11.91 is 5 x 12, or 60. Is her estimate an underestimate or an overestimate?
overestimate
O underestimate
Answer:
overestimate
Step-by-step explanation:
The actual numbers are 4.5 and 11.91.
She used 5, which is greater than 4.5 and 12 which is grater than 11.91, so her estimate is an overestimate.
Answer: overestimate
Isabella and her cousin Rodrigo have the same birthday, but Isabella is 15 years
older than Rodrigo. The equation y = x + 15 represents Isabella's age, y, when
Rodrigo is x years old. Which table of values shows this relationship?
X
0
15
1
16
2
17
3
18
у
Х
у
0
16
1
17
2
18
3
19
Х
у
0
0
1
15
2
30
3
45
х
у
0
15
1
30
2
45
3
60
Answer:
The first graph
Step-by-step explanation:
*View attached graph*
Hope this helps!
find the value of each expression 12a+c-b
Answer:
We need more info, take a picture of the qustion
Step-by-step explanation:
What is the z-score of a newborn who weighs 4,000 g?.
The z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.
Thus, for them, we can consider variables in place of their actual values.
Let we have:
X = weights of newborns for some considered system (in grams)[tex]\mu[/tex] = mean weight of newborns (in grams)[tex]\sigma[/tex] = standard deviation of the data set of weights of newbornsThen, the z-score for X = 4000 is
[tex]z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}[/tex]
Thus, the z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]
Learn more about z-scores here:
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Answer:
The answer would be 1!
Step-by-step explanation:
I did the assignment.
edge 2022
12. Solve the simultaneous equations.
2x + 3y = 10
3x + 5y = 17
Answer:
[tex]x = -1[/tex], [tex]y = 4[/tex]
Step-by-step explanation:
[tex]2x + 3y = 10[/tex]
[tex]3x + 5y = 17[/tex]
By using substitution:
[tex]2x + 3y = 10[/tex]
[tex]2x = -3y + 10[/tex]
[tex]x = -\frac{3}{2} y + 5[/tex]
[tex]3x + 5y = 17[/tex]
[tex]3 (-\frac{3}{2}y + 5) + 5y = 17[/tex]
[tex]\frac{1}{2} y + 15 = 17[/tex]
[tex]\frac{1}{2} y = 2[/tex]
[tex]y = 4[/tex]
[tex]x = -\frac{3}{2}y + 5[/tex]
[tex]x = -\frac{3}{2} (4) + 5[/tex]
[tex]x = -1[/tex]
Sarah lives 3 9/10 miles from school. Her classmate, Roger, lives 1 mile from school. How much farther from school does Sarah live?
Answer:
2 9/10
Step-by-step explanation:
subtract the 1 mile from the 3 9/10 mile. kinda like 3-1 but then you put the other stuff on the end (9/10)
I'm pretty sure this is the correct answer
The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. assuming a 90% confidence level (90% confidence level = z-score of 1.645), what is the margin of error for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. 0.66 1.10 1.31 1.73
The margin of error for the population mean for the 90% confidence level is 1.10.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
It is given by the formula:
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
As the mean is given to us is 71 beats and the standard deviation is 6 beats, therefore, the margin of error for 90% confidence level can be written as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{6^{2}}{80}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{36}{80}}\\\\\text{MOE}_{\gamma}=1.1034\approx 1.10[/tex]
Hence, the margin of error for the population mean for the 90% confidence level is 1.10.
Learn more about the Margin of error:
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Answer:
B on edge
Step-by-step explanation:
The amount of medicine in a patient's bloodstream is shown by the function A(h)=600(0.75)^h, where h is the number of hours that have passed since the medicine was given.
A: The amount of medicine in the bloodstream increases by 25% each hour.
B: The amount of medicine in the bloodstream decreases by 25% each hour.
C: The amount of medicine in the bloodstream increases by 75% each hour.
D: The amount of medicine in the bloodstream decreases by 75% each hour.
The amount of medicine in the bloodstream decreases by 25% each hour.
Exponential equationThe standard exponential equation is expressed as:
y = ab^x
a is the initial amount
b is the rate
If b < 1, hence there is a declince
Given the expoenentia equation A(h)=600(0.75)^h,
b = 1 - r = 0.75
r = 1 - 0.75
r = 0.25
This shows that the amount of medicine in the bloodstream decreases by 25% each hour.
Learn more on exponential equation here: https://brainly.com/question/12940982
If 9y^2-21+8 is written as p^2-7p+8, what is p in terms of y
The table shows the number of flowers in four bouquets and the total cost of each bouquet. A 2-column table with 4 rows. The first column is labeled number of flowers in the bouquet with entries 8, 12, 6, 20. The second column is labeled total cost (in dollars) with entries 12, 40, 15, 20. What is the correlation coefficient for the data in the table? –0. 57 –0. 28 0. 28 0. 57.
The correlation coefficient for the data in the given table is 0.28.
What is the correlation coefficient?Correlation coefficients are used to measure how strong a relationship is between two variables.
Number of flowers X Total cost(in$) Y
8 12
12 40
6 15
20 20
∑X=46 ∑X=87
The image of the correlation coefficient formula has been attached.
X mean = 11.5
Y mean = 21.75
Using the attached formula
Correlation coefficient r = 0.28
Therefore, the correlation coefficient for the data in the given table is 0.28.
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y is directly proportional to x²
If y = 108 when x = 3 find
x when y = 300
Please help it’s urgent
Suppose a local newspaper wishes to survey the voters of a city to project the results of the upcoming election for city mayor. The newspaper hires a team of statisticians who will randomly select 500 phone numbers from the city’s voter registration records to call between the hours of 8am and 4pm.
Which of these is an issue regarding the generalizability of the results?
Answer:
See below
Step-by-step explanation:
The condition that calls be made between 8am and 4pm will exclude anyone who leaves home for work or school during those hours, which are the most common work periods of the day. The sampling will consist primarily of home-keepers, babysitters, or students skipping class or doing homework, with an occasional worker who works the night shift and is upset with the call since it woke that person from sleep.
3 sin ^2 x - 3 sin ^4 x =0
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
Graph the following quadratic equation
f (x) = x² - 4x + 3
Answer:
Step-by-step explanation:
Solve for x :-
[tex] \: [/tex]
[tex]{ \large{ \rm{ \frac{7x + 14}{3} - \frac{17 - 3x}{5} = 6x - \frac{4x + 2}{3} - 5 }}}[/tex]
[tex] \rule{200pt}{5pt}[/tex]
We need to find value of x from the equation, so let write the equation first;
[tex]{:\implies \quad \sf \dfrac{7x+14}{3}-\dfrac{17-3x}{5}=6x-\dfrac{4x+2}{3}-5}[/tex]
Taking LCM both sides ;
[tex]{:\implies \quad \sf \dfrac{35x+70-(51-9x)}{15}=\dfrac{18x-(4x+2)-15}{3}}[/tex]
Multiplying both sides by 15 and simplifying ;
[tex]{:\implies \quad \sf 35x+70-51+9x=5(18x-4x-2-15)}[/tex]
[tex]{:\implies \quad \sf 44x+19=5(14x-17)}[/tex]
[tex]{:\implies \quad \sf 44x+19=70x-85}[/tex]
[tex]{:\implies \quad \sf 70x-44x=19+85}[/tex]
[tex]{:\implies \quad \sf 26x=104}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{104}{26}=\boxed{\bf 4}}[/tex]
Hence, The required answer is 4
Given: {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5
Asked: Find the value of x = ?
Explanation: Given equation is {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5
⇛{(7x + 14)/3} - {(17 - 3x)/5} = {(6x)/1} - {(4x + 2)/3} - (5/1)
⇛{(7x*5 + 14*5 - 17*3 + 3x*3)/15} = {(6x*3 - 4x*1 - 2*1 - 5*3)/3}
⇛{(35x + 70 - 51 + 9x)/15} = {(18x - 4x - 2 - 15)/3}
⇛{(35x + 9x + 70 - 51)/15} = {(18x - 4x - 2 - 15)/3}
⇛{(44x + 19)/15} = {(14x - 17)/3}
⇛[{1/15}(44x + 19)] = [{1/3}(14x - 17)}]
⇛{(44x + 19)/15} = {(14x - 17)/3}
Since (a/b) = (c/d) ⇛a(d) = b(c) ⇛ad = bc
Where, a = 44x + 19, b = 15
c = 14x - 17 and d = 3
On applying cross multiplication then
⇛3(44x + 19) = 15(14x - 17)
Multiply the numbers outside of the bracket with numbers in the bracket.
⇛132x + 57 = 210x - 255
Shift the variable value on LHS and constant value on RHS.
⇛132x - 210x = -255 - 57
Subtract the values on LHS and RHS.
⇛(-78x) = (-312)
Shift the number (-78) from LHS to RHS.
⇛x = {(-312)/(-78)
Simplify the RHS fraction to get the final value of x.
⇛x = 4/1
Therefore, x = 4
Answer: Hence, the value of x for the given problem is 4.
EXPLORE MORE:
Verification:
Check whether the value of x for the given problem is true or false.
If x = 4 then LHS of the equation is
{(7x + 14)/3} - {(17 - 3x)/5}
= [{7(4) + 14}/3] - [{17 - 3(4)}/5]
= {(7*4 + 14)/3} - {(17 - 3*4)/5}
= {(28 + 14))3} - {(17 - 12)/5}
= (42/3) - (5/5)
= (42/3) - 1
= (42/3) - (1/1)
= {(42 - 1*3)/3
= {(42 - 3)/3}
= (39/3)
= 13/1
= 13
And RHS = 6x - {(4x + 2)/3} - 5
= 6(4) - [{4(4) + 2}/3] - 5
= 24 - {(16 + 2)/3} - 5
= 24 - (18/3) - 5
= 24 - (6/1) - 5
= (24/1) - (6/1) - (5/1)
= (24*1 - 6*1 - 5*1)/1
= (24 - 6 - 5)/1
= (24 -11)/1
= 13/1
= 13
On comparing with both the sides, we notice that LHS = RHS is true for x = 4
Hence, verified.
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Solve the equation: 5(3p - 5) + 4p = 5p - 6( p + 4)....
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PLEASE HELP ME
Which of the following is an irrational number?
A ✓5
B -2
C 1/2
D ✓9
Answer:
A ✓5 is the irrational number.
Step-by-step explanation:
Have a good day. :)
Hello.
A rational number can be expressed as a fraction.
Let's check if we can express the given numbers as fractions.
The first number is √5.
Can we express √5 as a fraction? No.
Why? Because √5=2.236...
We cannot express this number as a fraction.
Thus, √5 is irrational.
Let's check the other 3 numbers.
The second number is -2.
Can we express -2 as a fraction? Sure!
[tex]\displaystyle-\frac{2}{1}[/tex]
Thus, -2 is rational.
What about the third number?
Well, it's already a fraction.
Seems like Option A is the right option, huh? Well, let's check the last one as well.
The last one is √9.
9 does have a square root, unlike 5.
It equals 3:
√9=3
Let's express 3 as a fraction:
[tex]\displaystyle\frac{3}{1}[/tex]
Therefore, Option A is the right option ;)
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
can someone help pls
Answer:
x = ± 5
Step-by-step explanation:
for the figure to be an isosceles trapezoid
then the lower base angles must be congruent , that is
3x² - 4 = 2x² + 21 ( subtract 2x² from both sides )
x² - 4 = 21 ( add 4 to both sides )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
Answer:
x=5
Step-by-step explanation:
Here,
→[tex]2x^{2} +21=3x^{2} -4\\\\[/tex]
→[tex]21+4=3x^{2} -2x^{2} \\[/tex]
→[tex]x^{2} =25[/tex]
→[tex]x=\sqrt{25}[/tex]
→[tex]x=5[/tex]
Let's check whether they are equal or not by putting the value of x.
→[tex]2x^{2} +21[/tex]
→[tex](2*5^{2}) +21[/tex]
→[tex]50+21[/tex]
→[tex]71[/tex]
→[tex]3x^{2} -4[/tex]
→[tex](3*5^{2} )-4[/tex]
→[tex]75-4[/tex]
→71
Hence they are equal.
1. How many 1 halves are in 2? 2. How many 1 fifths are in 3? 3. How many 1 eigths are in 1 and 1 fourth
Answer:
2; 3; 10
Step-by-step explanation:
1.) There are 4 halves (1/2) in 2; 4/2 = 2
2.) There are 15 1 fifths (1/5) in 3; 15/5 = 3
3.) There are 10 1 eights (1/8) in 1 and 1 fourth; 1.25/0.125 = 10
Determine the missing side length.
help please i need help
Answer:
y = 500(1.10)^4
Step-by-step explanation:
We put the 1 in 1.10 instead of 0.10, because we're trying to find 10% of $500, added to the $500 itself. 1 is the same as 100%. 100% here is $500. So by doing 1.10, we're finding 110% or $500 + 10% of $500.
Hope this makes sense :))
what is the distributive property for 34 (x - 1)?
Distribute the 34 to both the x and -1, and once you do that, your answer is 34x - 34
Answer:
34x - 34
Step-by-step explanation:
34(x - 1) ← multiply each term in the parenthesis by 34
= 34x - 34
Please help me with the first two questions!! I have the last one done already!
I have a question which stubs my toe could someone solve this for me so I understand how to get the domain and range.
Let f be a function defined on [−1,3] such that f (n) = 2n - 1
- Plot the graph of f
- What is this function’s domain and range?
Step-by-step explanation:
Domain tells us all the possible x values or inputs of a function.
Here the input is n.
The domain here is defined on the interval [-1,3) so the domain can be notated in 3 ways.
Interval Notation: [-1,3]
Words: All inputs that is between -1 and 3, exclusively.
Sign Notation:
[tex] - 1 \leqslant x \leqslant 3[/tex]
The Range of a function is possible y values or outputs of a function.
For the range, plug in x values to find the y values.
Since the range in this problem, is only defined for -1 to 3. Plug in -1 for n in the function.
[tex]2( - 1) - 1 = - 3[/tex]
[tex]2(3) - 1 = 5[/tex]
So the range of is
[-3,5]
Or could be stated
All outputs between -3 and 5 exclusively
[tex] - 3 \leqslant x \leqslant 5[/tex]
Here's a graph. Look Above
3. Find the area.
I don’t know how to solve this
Answer:
50.24 cm^2
Step-by-step explanation:
r=4, so the answer is 16π. replacing π with 3.14 to get 50.24 cm^2
tan 30 degrees = x/7
please explain how to solve
[tex]tan(30) = (\frac{x}{7} )\\x = 7*tan(30)[/tex]
After this step, find the button on your calculator that says 'tan' and type n 30 degrees, then press enter or the equal sign or whatever button you press to calculate.
You should get that tan(30) = 0.5774
Now plug that back into the equation
[tex]x = 7 * 0.5774 = 4.0415[/tex] (approximated)
Hope that helps!
Step-by-step explanation:
rewrite the equation as x/7 = tan (30).
x/7= tan (30)
multiply both sides of the equation by 7 .
7•x/7=7• tan (30)
simplify both sides of equation x=7π3/3
the result can be shown in multiple forms exact forms x=7π3/3
decimal form x=404145188...
TAN (30) =X/7
In quadrilateral wxyz, wc = 2x 5 and cy = 3x 2. what must x equal for quadrilateral wxyz to be a parallelogram? x =
For WXYZ to be a parallelogram, the value of x must be 3.
What is a parallelogram?A parallelogram is a quadrilateral in which opposite sides are parallel and equal to each other. Opposite angles are also equal to each other. In a parallelogram, diagonals bisect each other when they intersect each other.
In a parallelogram when diagonals intersect, they bisect each other.
So, WC and CY will be equal to each other
i.e. WC = CY
i.e. [tex]2x+5 = 3x+2[/tex]
[tex]2x-3x = 2-5[/tex]
[tex]-x=-3[/tex]
[tex]x=3[/tex]
Therefore, For WXYZ to be a parallelogram, the value of x must be 3.
To get more about parallelograms visit:
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Answer:
x=3
Step-by-step explanation:
E2020
I need help it's due in 2 hours I'm confused on the last question. I mainly need help with knowing what to do with y=-1
Answer: I am not sure exactly what you need as there is no context
-> See attached for graph
-> They intersect at point (2, -1)
Step-by-step explanation:
To answer your question of "I mainly need help with knowing what to do with y=-1" you will graph it as you do with y = - [tex]\frac{5}{2}[/tex]x + 4.
Any y = something equation will be a horizontal line. There is no slope, the "mx" chunk, so the line stays straight. You will put a dot at (0, -1) and draw a line straight from that point.
For y = - [tex]\frac{5}{2}[/tex]x + 4, place a dot at (0, 4) and then count down 5 units and 2 units to the right to place another dot. Then draw a line through these two dots and extend it beyond to create the line.
Step-by-step explanation:
Hope this is helpful
y=-1 is nothing but it's the y value by using that we have to find the x value
A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the cereal
were sold. In the next week, 53 boxes of the cereal were sold and in the third week 86 boxes of 86 the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?
Answer:
an=33n-13
Step-by-step explanation:
86-53=33
53-20=33
That's where 33n comes from
-13 comes from
20-33=-13
Hope this helps! :)
Lexi did 4/10 of her homework after school she played outside for 30 minutes she then did 3/10 more of her homework what decimal shows the amount of homework Lexi has finished
Answer:
0.7
Step-by-step explanation:
4/10 + 3/10 = 7/10
7/10 as a decimal is 0.7
Answer: 0.7