Answer:
15
Step-by-step explanation:
The amountt of sugar and salt would be x and 2x
x+2x=45x
so sugar solution =15 and salt solution =30
ratio =2:1 then sugar =30 salt =15
The amount of sugar solution to be added =30-15=15
On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.
95 103 109 170 114 113 107 124 105 80 104 84 176 115 69 95 134 108 61 160 128 68 95 61 150 52 87 136
(a) Find the mean, median, and mode.
(b) Do these measures of center agree? Explain.
(c) Make a histogram or dot plot.
(d) Are the data symmetric or skewed? If skewed, which direction?
Answer:
median: 104.5
mean: 102.4
mode: 95
Step-by-step explanation:
A. Match the given solid figures to its corresponding formulas. Write the
letter of the correct answer in the blank.
please help
This is a Right answer....
Rewrite the following logarithmic expression as an exponential expression
[tex]\huge{ \mathrm{ \underline{ Answer }\: \: ✓ }}[/tex]
The logarithmic expression for the given exponential expression is :
[tex]\large\boxed{ \mathrm{ log_{4}(b )= a}}[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
please hbelpppppppppppppppppppppppp quick
Answer:
#1 I believe the answer is 4 and for 2 I believe the answers are 3&4
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
c
Step-by-step explanation:
Find the slope of the line?
Answer:
slope = 1/6
Step-by-step explanation:
(-3--4)/1--5)
rise/run
so slope = 1/6
find the 10th term of the geometric sequence 8, -24, 72...
Answer: -157,464
Step-by-step explanation:
an=a^1*r^n-1
a10=8*-3^10-1
a10=8*-3^9
a10=8*-19683
a10=-157464
Answer:
a10 = -157,464
Step-by-step explanation:
a1 = 8
a2 = -24
r = a2/a1 = -3
an = a1 × r^(n - 1)
a10 = a1 × (-3)^(10 - 1)
a10 = 8 × (-3)^(9)
a10 = -157,464
ANSWER ASAP
Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
[tex]\frac{\pi r^2}{2}[/tex]
We can substitute what we have:
[tex]\frac{25\pi }{2}[/tex]
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
A toy has an original price of $12. Find the new price after 45% decrease
Answer:
New price =$6.60
Step-by-step explanation:
[tex]deduction \ percent = 45\% \\\\dedecution \ price = \frac{45}{100} \times12 = \$5.40\\\\\ Therefore , cost \ of \ toy \after \ deduction = 12 - 5 .40= \$ 6.60[/tex]
Hello there I hope you are having an great day :) A toy has an original price of $12. Find the new price after 45% decrease,
Find the original price - $12
Get the the discount percentage - 45%
Calculate the savings: 45% of $12 = 3.73
Subtract the savings from the original price to get the sale price: $12 - $3.73 = £8.27
Original Price = Sale Price / ( 1 - Percent Off / 100 ) = 21.8182 that would b the answer :)
Which choices are equivalent to the fraction below? Check all that apply.
Answer:
the answer is B & F
Let W represent that a car is white, let N represent that a car is new, and let M represent that a car is mine. Analyze the logical form of the following statements:
a. If the car is not white and new, then it is mine.
b. The car being white or new is a sufficient condition for it being not mine.
c. The car is mine if and only if it is new and not white.
Answer:
Remember that if we have a proposition P, ¬P is the negation of that proposition.
We have:
W = car is white
¬W = car is not white
N = car is new
¬N = car is not new
M = the car is mine
¬M = the car is not mine.
Now, whit that defined, let's analyze the statements:
a: " If the car is not white and new, then it is mine."
We can write this as:
"Not W and N, then M"
using only symbols this is:
(¬W ∧ N) ⇒ M
where the symbol ∧ means "and"
and the symbol ⇒ means "then"
b " The car being white or new is a sufficient condition for it being not mine."
We can rewrite this in a simpler way:
"if the car is white or new, then is not mine"
We can write this as:
W or N, then, not M
using the symbols, we get:
(W ∨ N) ⇒ ¬M
Where the symbol ∨ means "or"
c " The car is mine if and only if it is new and not white."
This can be rewritten as:
"M if and only if N and not W"
Using only symbols, we get:
M ⇔ (N ∧ ¬W)
Where "⇔" means "if and only if"
Frankie scores a 70% on her math test. The test had 20 questions. How many questions did she get correct?
Answer:
14 questions correct
Step-by-step explanation:
x/20 *100 = 70
so x/ 20 = 70/100(0.7)
x/20 = 0.7
x = 0.7*20
x =14
If 4, m & 9 are in continued proportion. Find the value of m.
Answer:
M =6
Step-by-step explanation:
T2/T1=T3/T2
M/4=9/m
M^2=36
M=+ or - 6
As m is continued ignore - 6
Then get m =6
i need help asap thank you
Answer:G
Step-by-step explanation:Since it is decreasing in size, the coordinates have to be negative so the only answer is G
Are women better at multitasking than men? Researchers conducted a multitasking experiment in which 120 men and 120 women played a computer game in which they were asked to carry out two tasks at the same time. The female group had an average speed that was faster than that of the male group.
Answer:
Yes, women better at multitasking than men.
Step-by-step explanation:
Given
[tex]n_1=120[/tex] --- Men
[tex]n_2=120[/tex] --- Women
[tex]\bar x_2 > \bar x_1[/tex] --- Women with greater average speed
Required
Does women better at multitasking?
When making comparison between two variables that are subjected to the same conditions;
If both variables have different mean values; the variable with the greater mean value performs better.
So, in this case:
[tex]\bar x_2 > \bar x_1[/tex] means that women perform better than men, at multitasking.
65 inches is how many feet? (Round to nearest hundredth) *
Answer:
5.42 feet
Step-by-step explanation:
12 inches=1 foot
65/12=5.41667
5.41667=5.42 feet
Answer:
5.42 feet
Step-by-step explanation: i hope its right and sorry if it's wrong
How many solutions are there to this equation?
3(3x−1)=6x−3
A. no solutions B. one solution C. two solutions D. infinite solutions
Answer:
B. One solution
Step-by-step explanation:
The only solution is x = 0
The number of typing errors on a page follows a Poisson distribution with a mean of 6.3. Find the probability of having exactly six (6) errors on a page.
Answer: 0.1595
Step-by-step explanation:
Poisson Distribution Formula
[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]
Here, [tex]\lambda= 6.3[/tex]
x= 6
[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]
[tex]\approx0.1595[/tex]
Hence, the probability of having exactly six (6) errors on a page = 0.1595
Plz help plz "??????????????
What is the value of N in this proportion 16/40= 8/n
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{16}{40} = \frac{8}{n}[/tex]
Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore the value of "n" in this proportion is 20.
Hope this helps!
10.3.23
Question Help
o
In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)
Answer:
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
[tex]P(A) = \frac{200}{1500}[/tex]
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
[tex]P(A \cap B) = \frac{45}{1500}[/tex]
What is the probability that a high school member selected at random is on the swim team?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
What is the first term of a 14-term arithmetic sequence where the last term is −12 and the sum is 42?
A. 6
B. 7
C. 13
D. 18
please explain answer
=========================================
Work Shown:
Here are the variables we're working with
a = first termb = last term (aka nth term)n = number of termsS = sum of the first n termsIn this case, we know that
a = unknown (what we want to solve for)b = -12 n = 14S = 42We can use this formula to help find the answer
S = (n/2)*(a+b)
This formula only works for arithmetic sequences
So,
S = (n/2)*(a+b)
42 = (14/2)*(a+(-12))
42 = 7(a-12)
42/7 = a-12
6 = a-12
6+12 = a
18 = a
a = 18 is the first term of this arithmetic sequence
That's why the answer is choice D.
-----------
Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.
For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?
Answer:
12 bottles of water.
Step-by-step explanation:
Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.
Someone need help guys :/ yeah me please help me
Answer:
Step-by-step explanation:
yes two triangles are congruent by SSS theorem (side Side Side)
will give brainliest if u answer this right^ p-20=46
Answer:
you forgot to link the photo
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
p-20=46
p= 46+20
p=66
a number cubed decreased by 1 is equal to the product of the number and 12
Answer:
x³ - 1 = 12x
Step-by-step explanation:
A number cubed decreased by 1 is equal to the product of the number and 12
x³ - 1 = 12x
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
17 years
Step-by-step explanation:
We can use a known formula (n being the number of years)
n = log(17323/8500) / log (1+ 0.045) = 16.17
To predict what diameter a child would draw a nickel given family income, it would be most appropriate to: ___________
a. Use the regression equation
b. Use the mean y-value
c. Use the P-Value
d. Use the residual
Answer:
a. Use the regression equation
Step-by-step explanation:
Given
See attachment for missing part of question
Required
What can be used to predict diameter, given family income
We can see (by observation) that the data on the table can only be represented on a scattered plot, and scattered plot uses regression equation for data prediction.
i.e. [tex]y = mx + b[/tex] --- equation of line of best fit
In this case;
[tex]x \to income[/tex]
[tex]y \to diameter[/tex]
When the x value (income) is known, we can simply plug in the value in the above equation to get the y value (diameter)
!!!! URGENT evaluate the geometric series below !
Answer:
C
Step-by-step explanation:
S(6)= -2(1-(-3)^6)/1-(-3)
WILL GET 100 POINTS IF U ANSWER THIS!!!
If 4x=28, find the value of 29-5x.
Answer:
-6
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
-6 (not 100% sure)
Step-by-step explanation:
4x = 28
4 × 7 = 28
so
29 - 5x
if x is 7, 5 × 7 = 35
29 - 35 = -6