Write 45.21% as a decimal.
Answer:
0.4521
Step-by-step explanation:
Answer:
0.4521
Hope this helps! :)
Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.
A) Find Alexis's age in terms of x
B) Find Thomas's age in terms of x.
C) If x=12, how much older is Thomas than Jenny?..
Answer:
A) Alexis is x-5 years old
B) Thomas is 3x years old
C) Thomas is 24 years older than Jenny (3×12=36 ; 36-12)
Alexis's age is x - 5.
Thomas's age is 3x.
Thomas is 24 years older than Jenny.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
A)
Jenny = x years old
Alexis = 5 years younger than Jenny.
So,
Alexis's age in terms of x.
Alexis's age
= Jenny's age - 5
= x - 5
B)
Thomas = 3 times as old as Jenny.
Thomas's age in terms of x.
Thomas's age = 3x
C)
x = 12,
Jenny = 12 years old.
Alexis = 5 years younger than Jenny,
So,
Alexis's age
= Jenny's age - 5
= 12 - 5
= 7
Now,
Thomas = 3 times as old as Jenny.
And,
Jenny = 12 years old.
Thomas's age
= 3x
= 3 x 12
= 36
Now,
Thomas's age - Jenny's age
= 36 - 12
= 24
Therefore,
Alexis's age = x - 5.
Thomas's age = 3x
Thomas is 24 years older than Jenny.
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Find the area of each figure.Round to the nearest tenth if necessary square 17.6mm
Answer:
309.8 mm² (nearest tenth)
Step-by-step explanation:
[tex]\boxed{area \: of \: square = side \times side}[/tex]
Given that the side of the square is 17.6mm,
area of square
= 17.6 ×17.6
= 309.76
= 309.8 mm² (nearest tenth)
Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.
via Edge
Answer:
By showing an example of ditributive property against addition.
Step-by-step explanation:
Let's say:
x = 5
y = 10
sin = 4
let's plug it in:
sin(x + y)
4(5 + 10) Let's solve:
20 + 40 = 60
Let's see if we get the same result:
5 + 10 = 15.
Not even close.
Complete the square
to find the vertex
of this parabola.
72-82+2y+17=0
(2, [?])
Answer:
-1
Step-by-step explanation:
Complete the square to find the vertex of this parabola y^2-8x+2y+17=0 {The second answer is -1; so 2,-1 }
Write the following ratio as a fraction in lowest terms:
4.4 g to 1.2 pounds
Answer:
3 2/3
Step-by-step explanation:
Hope this is right
Answer: 3 2/3
Step-by-step explanation:
Which could be the function graphed below?
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Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
[tex]f(x)=\sqrt{x}-2[/tex]
Answer:
the answer is A.
Step-by-step explanation:
:))))))
Is 5/3 and 7/9 a similar fraction?
Answer:
No
Step-by-step explanation:
Mr. Farris drives 7 1/2 miles directly west of his home to a restaunt.he then drives 8 2/3 miles directly east of the restauant to his office. how far , and in what direction is his office from his home ?
Answer:
2 1/6
Step-by-step explanation:
8 2/3 - 7 1/2 = 2 1/6
9514 1404 393
Answer:
1 1/6 miles east of home
Step-by-step explanation:
If we consider east to be positive, then the distance from home to office is ...
(-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6
Farris's office is 1 1/6 miles east of his home.
s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not drink preferences have changed at his coffee shop. Use a 0.05 level of significance. Americanos Capp. Espresso Lattes Macchiatos Other Observed Counts 115 88 69 59 44 75 Expected Counts 153 94.5 63 49.5 45 45 Enter the p-value - round to 5 decimal places. Make sure you put a 0 in front of the decimal. P-value =___
Answer:
0.000005178
Step-by-step explanation:
we test for the goodness of fit
h0; drink preferences not changed
h1: drink preferences changed
alpha = 0.05
we solve for the test statistics
the chsquare test was performed in the attachment
Chi square = (O-E)²/E
chisquare = 32.30188
degree of freedom = n -1 = 6-1 = 5
using the chi distribution function on excel i calculated the p value
CHIDIST(32.30188, 5) =
P-value = 0.000005178
pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.
the chisquare calculation is in the attachment. Thank you!
Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?
A.
the critical value
B.
the number of favorable responses
C.
the standard error of the mean
D.
the standard deviation
Answer:
A
Step-by-step explanation:
The other piece of information Mike needs to determine the confidence interval is the critical value.
What is a confidence interval?A confidence interval is a range of estimates for a variable that is uncertain. A confidence interval is calculated at a specified confidence level; the 95% confidence level is the most frequent, although other values, such as 90%or 99%, are also used.
To determine the confidence interval for a set of data sample size, the sample proportion, and the critical value are needed to be known.
Hence, the other piece of information Mike needs to determine the confidence interval is the critical value.
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i need help! please and thank you
Answer:
[tex]20\pi[/tex] m
OR
62.8318531 m
Step-by-step explanation:
This is actually pretty simple
The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle
The formula for arc length is Angle in Radians x Radius
So pi/12 * 4 = pi/3 m
We know this is how much it travels every second so it is going at pi/3 m/s
One minute is 60 seconds
pi/3 * 60 = 20pi m
Rowanda jogged 2.13 kilometers farther than Terrance.
Select the values that could represent how far each student jogged.
Select all that apply.
A Rowanda: 6.9 km, Terrance: 4.77 km
B Rowanda: 4.7 km, Terrance: 2.67 km
C Rowanda: 7.27 km, Terrance: 5.14 km
D Rowanda: 3.52 km, Terrance: 1.49 km
Answer:
A and C
Step-by-step explanation:
what is the square unit of 5,469
Answer:
29909961
................
A pharmaceutical company is conducting a study on whether or not their new vaccine is effective in preventing chicken pox. The researchers rejected the null hypothesis and stated that the vaccine was effective. However, subsequent studies found out that the vaccine did not have any effect on combating chicken pox. What type of error did the researchers make
Answer:
The answer is "Type 1 error".
Step-by-step explanation:
The error of type I, frequently known as a 'false positive': its error in judgment that perhaps a null hypothesis is simply rejected. This is the mistake of accepting a possible (actual interest hypothesis) hypothesis whenever the results could be attributed to chance since the researchers deny, if valid, the null hypothesis.
what a hypothesis in science
stimulus check summary please help me please
Answer: I think it’s great but you should make a stronger opinion and always have back up evidence
Step-by-step explanation:
Please help me I am struggling
Answer:
924
Step-by-step explanation:
i multiply 14 by 11 and then by 6
Please help me thanks! :)
Answer:
eyjdnfbhs
Step-by-step explanation:
Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.
C=s(3h+5)
C
= total cost
s
= number of pairs of ice skates
h
= number of hours
How much will it cost to hire 4 pairs of ice skates?
s = 4
h = 3
C = ?
C = s(3h + 5)
C = 4(3·3 + 5)
C = 4(9 + 5)
C = 4(14)
C = ?
ANSWER: It costs 56 dollars
Need help with finding the mean (MATH 7th GRADE)
Answer:
mean = 49.25
Step-by-step explanation:
mean = sum of all the number ÷ amount of number
mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8
mean = 49.25
mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8
mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8
mad = 0/8
mad= 0
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A consulting firm claimed that 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex. The claim was tested by taking a random sample of 60 online shoppers and assigning them each a different randomly selected e-commerce Web site to test. 45 reported sufficient frustration with their sites to deter making a purchase. The data was entered into STATISTIX and the following output was generated:
Hypothesis Test - One Proportion
Sample Size 60
Successes 45
Proportion 0.75000
Null Hypothesis: P = 0.65
Alternative Hyp: P > 0.65
Difference 0.10000
Standard Error 0.05590
Z (uncorrected) 1.62 P 0.0522
Method 95% Confidence Interval
Simple Asymptotic (0.64043, 0.85957)
Which of the following statements is correct if we are testing at α = 0.05?
a. There is sufficient evidence to indicate that more than 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
c. There is insufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
d. There is insufficient evidence to indicate that more than 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
Answer:
b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
Step-by-step explanation:
Not significant,accept null hypothesis that population proportion = 0.65
When we accept the null hypothesis that P= 0.65
Then only option b is correct which states that there is sufficient evidence to support that population proportion is exactly 0.65 .
1) We obtain a P - value of 0.0522 which is greater than 0.5 indicating that the null hypothesis is not rejected.
The rejection region for this right-tailed test is z > 1.64
2) Test Statistics
z= p`-p0/ sqrt(p0(1-p0)/n)
The z-statistic is computed as follows:
z= 0.75-0.65/ √(0.65*0.35)60
z= 1.624
3) Decision about the null hypothesis
Since it is observed that z = 1.624 is less than z ∝=1.64, it is then the null hypothesis is not rejected.
A school is arranging a field trip to the zoo. The school spends 541.31 dollars on passes for 34 students and 3 teachers. The school also spends 299.54 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)
Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Suppose that you have $13,000 in a rather risky investment recommended by your financial advisor. During the first
year, your investment decreases by 40% of its original value. During the second year, your investment at the end of year
one increases by 50%. Your advisor tells you that there must have been a 10% overall increase of your original $13,000
investment. Is your financial advisor using percentages properly? If not, what is your actual percent gain or loss of your
original $13,000 investment?
Answer:
There is loss of 10%
Step-by-step explanation:
The total sum of money invested [tex]= 13000[/tex] dollars
In the first year, the Investment values decreases by 40%. The final investment value after one year
[tex]\frac{(100-40)}{100} * 13000\\7800[/tex]
Now in the second year the investment increases by 50%. The final investment value after second year
[tex]\frac{100+50}{100} *7800\\1.5 * 7800\\11700[/tex]
The investment value after second year is less than that of total sum invested
% loss
[tex]\frac{13000-11700}{13000} * 100\\10[/tex]percent
There is loss of 10%
12 less than a number is 39 find the number round your answer to the nearest integer if necessary
Answer:
number = n
n = 51
Equation:
n - 12 = 39
39 + 12 = 51
write the standard equation of the circle with the given Center and radius:
i would love help on this
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Answer:
B. (x +4)² +(y +5)² = 64
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Filling in your given values, you have ...
(x -(-4))² +(y -(-5))² = 8²
Simplifying, you get ...
(x +4)² +(y +5)² = 64 . . . . . . . matches choice B
_____
Additional comment
As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.
Please help I woll do brainly
Answer:
i believe it is y=50x+40
Step-by-step explanation:
The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Explain why you think this pattern will continue to be this way.
An image of a pattern. Term one has five dots, term two has eight dots, term three has eleven dots. (4 points)
Find the surface area of the prism below.
SA= square meters
Answer:
The surface area is 98 square feet.
Step-by-step explanation:
7 x 4 = 28
28 x 3 = 84
4 x 3.5 = 14
14 / 2 = 7
7 x 2 = 14
84 + 14 = 98