Answer:
841
Step-by-step explanation:
If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.
If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.
So we already know the last digit must be 1.
The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:
811, 841, 871
The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841
So Tommy's number is 841.
Tommy's number is 841.
In this question we must determine first the least common number of 4, 5, 6 and 7, which is the product of these four numbers, that is to say:
[tex]x = 4\times 5\times 6 \times 7[/tex]
[tex]x = 840[/tex]
This is the least number that is divisible both for 4, 5, 6 and 7. Now we add this number by 1 to determine what number Tommy thought:
[tex]y = x + 1[/tex]
[tex]y = 841[/tex]
Tommy's number is 841.
To learn more on divisibility, we kindly invite to check the following verified question: https://brainly.com/question/369266
Please answer this correctly
Answer:
3/5
Step-by-step explanation:
Out of the 5 cards, 3 of them are greater than 3 or less than 2 (1, 4, 5) so the answer is 3/5.
Answer:
3/5
Step-by-step explanation:
Total number of cards: 5
Cards greater than 3: 4, 5
Cards less than 2: 1
Total of (greater than 3 or less than 1): 3 cards
p(greater than 3 or less than 1) = 3/5
Which of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers that apply: (Choice A) A The distribution has a peak from 9999 to 10 m10 \text{ m}10 m10, start text, space, m, end text. (Choice B) B The distribution has a gap from 6666 to 9999 m\text{m}mstart text, m, end text. (Choice C) C None of the above
Answer:
None of the above
Step-by-step explanation:
Answer:
None of the Above
Step-by-step explanation:
I got it right on Khan Academy :) Have a Great Day!
In the diagram circle o, what is the measure of angle abc
Answer:
34°
Step-by-step explanation:
Because AB and CB are tangents, the measure of angle B is the supplement of the measure of arc AC:
180° -146° = 34°
Which is an expression in square units that represents the area of the shaded segment of C. Geometry
Answer:
[tex] \frac{1}{2} {r}^{2} ( \frac{1}{2}\pi - 1)[/tex]
option D is the right option.
solution,
Area of shaded region:
Area of sector-Area of ∆
[tex] = \frac{90}{360} \times \pi {r}^{2} - \frac{1}{2} \times r \times r \\ = \frac{1}{4} \pi {r}^{2} - \frac{1}{2} {r}^{2} \\ = \frac{1}{2} {r}^{2} ( \frac{1}{2} \pi - 1)[/tex]
Hope this helps...
Good luck on your assignment..
The expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
Calculation of the expression:Since we know that
The area of the shaded region = Area of the sector - an area of a triangle
So,
[tex]= \frac{90}{360} \times \pi r^2 - \frac{1}{2} \times r\times r\\\\ = \frac{1}{4}\pi r^2 - \frac{1}{2}r^2 \\\\= \frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
hence, The expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
Learn more about area here: https://brainly.com/question/2502351
If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that m
Answer:
M = 90 for a sample of n = 100
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance or M = 90 with s sample of n = 100. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
Express as a ratio in the lowest term
1. 360 metres to 3 kilometres
2. 2 minutes to 14 seconds
Answer:
1. 3:25
2. 60:7
Step-by-step explanation:
To express the ratio in the lowest terms:
1. 360 metres to 3 kilometres
First of all, we need to convert both the terms in same unit.
Let us convert kilometres to metres for simplicity.
We know that 1 km = 1000 m
So, 3 km = 3000 m
Hence, the ratio can be represented as:
[tex]360\ m: 3000\ m\\\Rightarrow \dfrac{360}{3000}\\ \\\text{Dividing by 10:}\\\Rightarrow \dfrac{36}{300}\\\\\text{Dividing by 12:}\\\Rightarrow \dfrac{3}{25}\\\Rightarrow 3:25[/tex]
So, the simplest ratio is 3:25.
2. 2 minutes to 14 seconds
Converting minutes to seconds.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the ratio can be written as:
120 seconds : 14 seconds
Dividing by 2:
60:7
So, the simplest form is 60:7.
The answers are:
1. 3:25
2. 60:7
True or False?
2+3x=5
If x is 1.1?
Answer:
False
Step-by-step explanation:
2 + 3x = 5
Put x as 1.1.
2 + 3(1.1) = 5
2 + 3.3 = 5
5.3 = 5
False.
Answer:
FalseSolution,
X=1.1
[tex]2 + 3x = 5 \\ 2 + 3 \times 1.1 = 5 \\ 2 + 3.3 = 5 \\ 5.3 = 5 \: \: \\ hence \: it \: is \: false[/tex]
Need Help With This
Answer:
Area: 28 square ft
Perimeter: 22 ft
Step-by-step explanation:
To find the area:
A=Lw
A is area, L is length, w is width
A=4*7
A=28
The area is 28 square feet
To find the perimeter:
P=2L+2w
P=2(7)+2(4)
P=14+8
P=22
The perimeter is 22 feet.
Hope this helps!
X = ?????? Geometry
Answer:
[tex]\boxed{x^2 = 16}[/tex]
Step-by-step explanation:
Using Tangent Secant theorem:
(x)² = (2)(2+6)
x² = 2(8)
x² = 16
Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?
Answer:
Step-by-step explanation:
If x is increased by 50%, it means that the amount by which x is increased is
50/100 × x = 0.5 × x = 0.5x
The new value of x would be
x + 0.5x = 1.5x
If the new value is further decreased by 30%, it means that the amount by which it was decreased is
30/100 × 1.5x = 0.3 × 1.5x = 0.45x
The new value of x would be
1.5x - 0.45x = 1.05x
Therefore, the result is 1.05x
What is the best estimate for the value of the expression?
34
8
16
3
14
9.
-3
-21
O7
Answer: 8 is the anwser
Step-by-step explanation:
Mandy and Priscilla shared a packet of stickers.At first, the number of stickers Mandy had was 1/4 of the number of stickers Priscilla had. When the girls bought another 28 stickers each, the number of stickers Priscilla had was 1/5 more than the number of stickers Mandy had. How many stickers were there in the packet? Solve if you can, using ALGEBRA ONLY, pls.
Answer:
10 stickers.
Step-by-step explanation:
Let's say that Mandy has m stickers, and Priscilla has p stickers.
m = 1/4p
6/5(m + 28) = p + 28
6/5(1/4p + 28) = p + 28
1/4p + 28 = 5/6p + 23 and 1/3
5/6p - 1/4p = 28 - 23 and 1/3
10/12p - 3/12p = 84/3 - 70/3
7/12p = 14/3
p = (14/3)(12/7)
p = 8
At the beginning, Priscilla had 8 stickers. That means that Mandy had 1/4 * 8 = 8 / 4 = 2 stickers.
So, in the packet, there were 8 + 2 = 10 stickers.
Hope this helps!
Simplify. (-2)^-3 please help
Answer:
Exact Form:
- 1 /8
Decimal Form:
-0.125
Answer:
- 1/8
Step-by-step explanation:
- 2⁻³ =
= - 1/2³
= - 1/8
Susan can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee beans in an hour or gather 4 pounds of nuts. Each works 6 hours per day. a. Together, what is the maximum number of pounds of coffee beans the two can pick in a day
Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Together they can pick a maximum of 36 pounds of coffee
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
given:
Susan can pick 4 pounds of coffee or 2 pounds of nuts.
Tom can pick 2 pounds of coffee or 4 pounds of nuts.
So, In 6 hours
Susan will pick
= 4 * 6
= 24 pounds of coffee.
In 6 hours,
Tom will pick
=2 * 6
= 12 pounds of coffee.
Hence, together they can pick a maximum of 36 pounds of coffee
Learn more about unitary method here:
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which three lengths could be the lengths of the sides of a triangle?
21 cm, 7 cm, 6 cm
12 cm 5 cm 17 cm
9 cm 22 cm, 11 cm
10cm 25cm, 24cm.
Answer:
None of the sides can be a triangle.
Step-by-step explanation:
if f(x) = 2x-1 and g(x) =3x + 5, what is the f(g(5)
Answer:
39
Step-by-step explanation:
g(5) = 3(5) + 5 = 20
f(20) = 2(20) - 1 = 39
Answer:
f ( 2 x + 1 ) = 6 x − 2
Step-by-step explanation:
Set up the composite result function.
f ( g ( x ) )
Evaluate f ( g ( x ) )
by substituting in the value of g into f
. f ( 2 x + 1 ) = 3 ( 2 x + 1 ) − 5
Simplify each term.
Apply the distributive property.
f ( 2 x + 1 ) = 3 ( 2 x )+ 3 ⋅ 1 − 5
Multiply 2 by 3 .
f ( 2 x + 1 ) = 6 x + 3 ⋅ 1 − 5
Multiply 3 by 1 .
f ( 2 x + 1 ) = 6 x + 3 − 5
Subtract 5 from 3 . f ( 2 x +1 ) = 6 x− 2
Find the missing side of the triangle.
11 yd
10 yd
Answer:
Step-by-step explanation:
a^2+b^2=c^2
assuming that 11 and 10 are the shorter sides of the triangle
11^2+10^2=c^2
121+100=c^2
221=c^2
[tex]\sqrt{221}=\sqrt{c^2}[/tex]
this will equal 14.87 approximately
The missing side of the triangle is √221 yd .
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
11² + 10² = c²
c² = 121 + 100
c² = 221
c = √221 yd
Therefore, the correct answer is √221 yd .
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What is the ratio for the volumes of two similar spheres, given that the ratio of
their radii is 5:9?
A. 125:729
B. 25:81
C. 729:125
D. 81:25
Answer:
Option A
Explanation:
the ratio of radii to volume is ^3 "to the third power"
so 5^3 : 9^3 would be the ratio for volumes
125:729
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes with a standard deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
Refer to Exhibit 9-4. At 95% confidence, it can be concluded that the mean of the population is
Select one:
a.
significantly greater than 3
b.
not significantly greater than 3
c.
significantly less than 3
d.
significantly greater then 3.18
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 3
For the alternative hypothesis,
H1: µ > 3
This is a right tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 3.1
µ = population mean = 3
s = samples standard deviation = 0.5
n = number of samples = 100
t = (3.1 - 3)/(0.5/√100) = 2
We would determine the p value using the t test calculator. It becomes
p = 0.024
Alpha = 1 - confidence level = 1 - 0.95 = 0.05
Since alpha, 0.05 > than the p value, 0.024, then we would reject the null hypothesis. Therefore, at 95% confidence level, it can be concluded that the mean of the population is significantly greater than 3.
Algebra 1 help. I got A
Answer: A
Step-by-step explanation:
(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.
4x+1-(x²-5) [distribute -1]
4x+1-x²+5 [combine like terms]
4x-x²+6 [rewrite in the order of exponents]
-x²+4x+6
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain at some point both of the next two days, what is the probability that the first drop of rain will be felt between 8:25 AM and 3:30 PM on both days? a) O 0.2951 b) 0.9137 c) 0.0871 d) 0.2938 e) 0.0863 f) None of the above.
Answer:
c) 0.0871
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d is given by the following formula.
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
On a single day:
24 hours, so [tex]a = 0, b = 24[/tex]
8:25 P.M. is 8:25 = 8.4167h
3:30 P. M. is the equivalent to 12 + 3:30 = 15:30 = 15.5h
Probability of rain between these times:
[tex]P(8.4167 \leq X \leq 15.5) = \frac{15.5 - 8.4167}{24 - 0} = 0.2951[/tex]
On both days:
Two days, each with a 0.2951 probability
0.2951*0.2951 = 0.0871
The correct answer is:
c) 0.0871
Fill in the green box.
Answer:
y=6solution,
Similar Right triangles:
[tex] \frac{c}{h} = \frac{h}{d} \\ {h}^{2} = cd \\ {y}^{2} = 4 \times 9 \\ {y = 36 }^{2} \\ y = \sqrt{ {(6)}^{2} } \\ y = 6[/tex]
Hope this helps..
Good luck on your assignment..
Answer:whats the measure of x i really need help
Step-by-step explanation:
After Jeremy runs across the width of the building, he must run down a ramp to the next building. Use the following portion of the picture to set up a ratio.
a.sin=70 =(4/x)
b. cos70 = (4/x)
c. cos 70 =(x/4)
d. sin 70 = (x/4)
Answer:
[tex]b.\ cos 70 =\dfrac{4}x[/tex] is the correct answer.
Step-by-step explanation:
First of all, let us label the diagram as shown in the attached figure.
OR = 20'
QS = 16'
[tex]\triangle OPQ[/tex] is the right angled triangle that we get.
[tex]\angle P=90^\circ[/tex]
[tex]\angle O =70^\circ[/tex]
From the given figure symmetry, we can clearly see that:
Side OP = OR - QS
OP = 20 - 16 = 4'
Now, let us use trigonometric identity of cosine in [tex]\triangle OPQ[/tex].
[tex]cos\theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]cosO= \dfrac{OP}{OQ}\\\Rightarrow cos70^\circ= \dfrac{4}{OQ}[/tex]
Let the distance of ramp, OQ = x'
So, the above ratio becomes:
[tex]cos70^\circ= \dfrac{4}{x}[/tex]
So, the correct answer is:
[tex]b.\ cos 70 =\dfrac{4}x[/tex]
A family has a phone plan that includes 4 GB of data per month. 10 days into a 30-day month, the family has used 1 GB. At that rate, how many GB will the family use for the entire month?
Answer:
3 GB
Step-by-step explanation:
Since the family has used 1 GB in 10 days. With the same rate in 30 days they would have 3 GB
Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received of the votes, Gilda received 15% of the votes, and Conroy received of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive?
Answer: A) 45%
Step-by-step explanation:
The question is incomplete. The complete question is
Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%
Solution:
The total percentage of the votes that is spread among the 4 contestants is 100%
Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is
1/5 × 100 = 20%
Gilda received 10% of the votes.
Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is
1/4 × 100 = 25%
Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is
100 - (20 + 10 + 25) = 45%
Answer:
40%
Step-by-step explanation:
Solve for w 28 = -7/8w
Answer:
-32
Step-by-step explanation:
28=-7/8w
w=-32
If a population proportion is believed to be 0.60, how many items must be sampled to ensure that the sampling distribution of the sample proportion will be approximately normal
Answer:
[tex]n \geq 42[/tex]
Step-by-step explanation:
Data provided
P = 0.6
The calculation of sample size is shown below:-
Here the sampling distribution of proportion will be approximately normal, then follow the rule which is here below:-
[tex]np\geq 10\ and\ np (1 - p)\geq 10[/tex]
Now we will consider condition 2
[tex]np(1 - p)\geq \ 10[/tex]
[tex]n(0.6) (1 - 0.6) \geq \ 10[/tex]
[tex]n(0.6) (0.4) \geq\ 10[/tex]
[tex]n\geq \frac{10}{0.24}[/tex]
[tex]n \geq 41.66667[/tex]
or
[tex]n \geq 42[/tex]
Therefore for computing the required sample size we simply solve the above equation.
An insurance company reported that, on average, claims for a certain medical procedure are $942. An independent organization constructed a 95% confidence interval of ($930 , $950) for the average amount claimed for the particular medical procedure. What conclusion best evaluates the truthfulness of the number reported by the insurance company?
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
An insurance company reported that, on average claims for a certain medical procedure are $942. an independent organization constructed a 95% confidence interval of ($930, $950) for the average amount claimed for the particular medical procedure. what conclusion best evaluates the truthfulness of the number reported by the insurance company?
a) with 95% certainty, the average claim for this medical procedure is $942.
b) with 95% certainty, the average claim for this medical procedure is not $942.
c) the confidence interval is consistent with an average claim of $942 for this medical procedure
Solution:
Confidence interval is used to express how confident we are that the population parameter that we are looking for is contained in a range of given values. Looking at the given confident interval, the lower limit is $930 and the upper limit is $950. We can see that the population mean, $942 lies within these values. The correct option would be
c) the confidence interval is consistent with an average claim of $942 for this medical procedure
What is the approximate positive value of the x-coordinate of the point of intersection of p(x)=5x^2-3 and q(x)=2x+1
Hey there! :)
Answer:
x = 1.117
Step-by-step explanation:
Graph the two equations:
p(x) = 5x² - 3
q(x) = 2x + 1
On the graph below, the positive point of intersection is at (1.117, 3.233).
Positive x-value = 1.117.
In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? & What is the probability the 'word will begin with L and end with a vowel?
Answer:
20160 ways
Probability = 0.0556
Step-by-step explanation:
We have 9 different letters, so the total number of words we can make is:
[tex]Total = 9! = 362880\ words[/tex]
If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:
[tex]N = 4 * 7! = 4*7*6*5*4*3*2 = 20160\ words[/tex]
The probability is calculated by the division of the number of words we want over the total number of words:
[tex]P = N / Total = 20160 / 362880 = 0.0556[/tex]