Answer:
35
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 70
σ is the population standard deviation = 14
We were given the z score in the question as: Two and one half standard deviations below the mean
Hence:
= μ - zσ
= 70 - 2.5(14)
= 70 - 35
= 35
The score that is two and one half standard deviations below the mean is 35
What is the number of pounds for the win bottle
n(n+1)+2n+1
expand and simplicity
Answer:
n² + 3n +1
Step-by-step explanation:
n(n+1) + 2n + 1
i) distribute n into the parantheses= (n×n) + (n×1) + 2n + 1
= n² + n + 2n + 1
ii) collect like terms= n² + 3n +1
what set of numbers does -64.1 belong to
Answer:
-64.1 belong to Rational numbers.
Hope it helps!
plz answer i will thank you and brainliest u
Answer:
15
Step-by-step explanation:
The amount of water displacement would be equivalent to the volume of the rock, which is 1800. We find this by doing 10 x 12 which is 120. Now we can divide 1800 by 120, which is 15. Giving us the dimensions 10 x 12 x 15.
-2/3 divided by -4/9
Answer: 1.5
Step-by-step explanation:
Watch help video
Anthony is going to invest in an account paying an interest rate of 2.7% compounded
quarterly. How much would Anthony need to invest, to the nearest hundred dollars,
for the value of the account to reach $130 in 10 years?
Answer:
Submit Answer
attempt 2 out of
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Answer:
Anthony needs to invest $99.33.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Interest rate of 2.7% compounded quarterly.
This means that [tex]r = 0.027, n = 4[/tex].
How much would Anthony need to invest, to the nearest hundred dollars, for the value of the account to reach $130 in 10 years?
We have to find P for which: [tex]A = 130, t = 10[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]130 = P(1 + \frac{0.027}{4})^{4*10}[/tex]
[tex]P = \frac{130}{(1 + \frac{0.027}{4})^{4*10}}[/tex]
[tex]P = 99.33[/tex]
Anthony needs to invest $99.33.
Bianca ordered t-shirts for her tennis club from a website. Each shirt is $12.50 and Bianca has a coupon for $25 off her total order. What is the cost of Bianca a order is she buys 15 t-shirts
Answer:
$162.5
Step-by-step explanation:
12.50x15= 187.5
187.5-25= 162.5
10. Wnte an equation in point-slope form for the lne through the given point with the given slope.
(-3,-5);m=-2/5
A. Y+5=-2/5(x+3)
B. Y+5=(-2/5)x-3
C. Y-5=-2/5(x+3)
D. Y-5=-2/5(x-3
Answer:
We conclude that an equation in the point-slope form will be:
y+5 = -2/5 (x+3)
Hence, option A is true.
Step-by-step explanation:
We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
Given
point (-3, -5)slope m = -2/5substituting the values m = -2/5 and the point (-3, -5) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - (-5) = -2/5 (x-(-3))
y+5 = -2/5 (x+3)
Therefore, we conclude that an equation in the point-slope form will be:
y+5 = -2/5 (x+3)
Hence, option A is true.
the temperature is -2°C. if the temperature rises by 5°C, what us the new temperature?
Answer: 3 degrees Celsius
Step-by-step explanation: ⬛
2) What is 18th term in this sequence: 45, 49, 53, 57,
Answer:
a₁₈ = 113
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 49 - 45 = 53 - 49 = 57 - 53 = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 45 and d = 4, then
a₁₈ = 45 + (17 × 4) = 45 + 68 = 113
please give the right answer and help, i’ll give brainliest❤️
Answer:
3:4
Step-by-step explanation:
Answer:
9 to 8
Step-by-step explanation:
Noah and Lin are each trying to solve the equation x^2-6x+10=0.They know that the solutions to x^2=-1 are i and -i but they are not sure how to use this information to solve for x in their equation.Lin knows 36-40 is a negative number and isn’t sure what to do next. Show how Lin can write her solution using i.
Lin's work:
Answer:
x=3+i or x=3-i
Step-by-step explanation:
x²-6x+10=0
(x²-6x+9) + 1 = 0
(x-3)² + 1 = 0
(x-3)² = -1
x-3 = ± √-1 = ± i
x = 3 + i or x = 3 - i
The next step is that L in can write her solution using i be like x = 3 + i or x = 3 - i.
What is an equation?Mathematical phrases with two algebraic symbols on either end of the equal (=) sign are called equations. To illustrate this connection, the expressions just on the left and right are demonstrated to be equivalent to each other. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
From the given values provided in the question,
x² - 6x + 10 = 0
(x² - 6x + 9) + 1 = 0
(x - 3)² + 1 = 0
(x - 3)² = -1
x - 3 = ±√-1
x - 3 = ± i
x = 3 + i or,
x = 3 - i
To know more about equation:
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i’ll give brainliest just help
Answer:
The answer required in ratio is: b:c = 9:8
Step-by-step explanation:
We are given:
The ratio a:b = 2:3 and the ratio a:c = 3:4
We need to find the ratio b:c
a:b=2:3 can be written as:
[tex]\frac{a}{b}=\frac{2}{3}[/tex]
Finding value of a by cross multiplying:
[tex]\frac{a}{b}=\frac{2}{3}\\3a=2b\\a=\frac{2b}{3}[/tex]
a:c = 3:4 can be written as: [tex]\frac{a}{c}=\frac{3}{4}[/tex]
Putting value of a and finding b:c
[tex]\frac{a}{c}=\frac{3}{4}\\Put\:a=\frac{2b}{3}\\\frac{2b}{3}}\times \frac{1}{c}=\frac{3}{4} \\Finding\:value\:of\:b/c\\\frac{b}{c}=\frac{3\times 3}{4 \times 2}\\ \frac{b}{c}=\frac{9}{8}[/tex]
So, we get the value of [tex]\frac{b}{c}=\frac{9}{8}[/tex]
The answer required is in ratio so: b:c = 9:8
Select the correct answer. Which level of government relies the most on income tax?
Answer:
The Federal government relies the most on income tax.
Step-by-step explanation:
please help i’ll give brainliest❤️
what is 300x21444444
Answer:
6433333200
Step-by-step explanation:
quick math
What is the slope of the line
(Picture below)
Kelly saved 4/5% of her allowance. What is this percent expressed as a fraction and as a
decimal?
Fraction:
Decimal:
Cristina uses a ruler to measure the length of her math textbook. She says that the book is 4/10 meter long. Is her measurement in simplest form? If not, what is the length of the book in simplest form?
Answer:
2/5 meters
Step-by-step explanation:
through: (-9, 0), perpendicular to
y = 3x - 2
In slope intercept form
Answer:
The equation perpendicular to y = 3x - 2 and passing through (-9, 0) in the slope-intercept form will be:
[tex]\:\:y\:=-\frac{1}{3}x-3[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the line
y = 3x - 2
comparing with the slope-intercept form of the line equation
The slope of the line y = 3x - 2 is: m = 3
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
Thus, the slope of the the new perpendicular line = – 1/m = -1/3 = -1/3
The point-slope form of the line equation is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -1/3(x₁, y₁) = (-9, 0)now substituting the perpendicular slope m = -1/3 and (-9, 0) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-0=-\frac{1}{3}\left(x-\left(-9\right)\right)[/tex]
[tex]y=-\frac{1}{3}\left(x-\left(-9\right)\right)[/tex]
[tex]y=-\frac{1}{3}\left(x+9\right)[/tex]
[tex]\:\:y\:=-\frac{1}{3}x-3[/tex]
Therefore, the equation perpendicular to y = 3x - 2 and passing through (-9, 0) in the slope-intercept form will be:
[tex]\:\:y\:=-\frac{1}{3}x-3[/tex]16. What kind of angle is shown in the image below?
A. Right
B. Obtuse
C. Straight
D. Acute
Answer: C
Step-by-step explanation: straight line=straight angle
2a<-4+a need some help with the answer?
Answer: there is the answer, number line, and graph answers
Step-by-step explanation:
A house that is 30 feet tall casts a shadow that is 50 feet long. A nearby tree casts a shadow that is 75 feet long. HOW LONG IS THE TREE?
Answer:
the tree would be 45 feet tall
Step-by-step explanation:
so the house is 30 feet and 50 feet shadow, if you divide by 2 you can see that every 15 feet gives a 25 foot shadow, since 75-50 is 25 so in turn if the tree is 45 feet tall, it will make 75 foot shadow
6 is 15% of what number? *
70
40
45
50
Answer:40
Step-by-step explanation:
Name all of the angles that have the same measure as <1
Step-by-step explanation:
angle 5, 3, 7 since they're vertical and alternate interior angles that are all connected to angle 1
The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is only worth $20,000?
Answer:
6.7
Step-by-step explanation:
10% of 30000
10/100 x 30000
0.10 x 30000
=3000
In order to find how long you have to divide 20k with 3k
20000/3000 = 6.66666667
Round it up and you get 6.7
URGENT WILL GIVE BRAINLIEST
Step-by-step explanation:
-1&-4 because it is the answer
Answer:
vertex (-3,-1)
Step-by-step explanation:
2) A carpenter has a sheet of plywood that is 6.85 feet long. A 3.4-foot
piece is cut from one side and 2.5-foot piece is cut from the other side.
How many feet of plywood is left over?
Answer:
0.95? I hope it's correct
We choose a number from the set 1, 2, 3,..., 100 uniformly at random and denote this number by X. For each of the following choices decide whether the two events in question are independent or not.
a. A = {X is even), B-(X is divisible by 5}
b. C= (X has two digits), D = {X is divisible by 31}
c. E= {X is a prime), F = {X has a digit 5}
Answer:
(a) A and B are dependent.
(b) C and D are dependent.
(c) E and F are dependent.
Step-by-step explanation:
Two sets are said to be independent if the intersection of the two set is empty. That is the sets are disjoint.
Let's examine the situations to determine if they are independent or not.
(a) A = {2, 4, 6, . . . , 10, . . . , 20, . . .} and B = {5, 10, 15, . . . , 20, . . .}. Since A n B = {10, 20, . . .}, then the sets are dependent
(b) C = {10, 11, 12, . . . , 31, . . . , 62, . . . , 93, . . .} and D = {31, 62, 93}. Since C n D = {31, 62, 93}, then the sets are dependent.
(c) E = {5, 7, 11, . . .} and F = {5, 15, . . .}. Since E n F = {5}, then the set are dependent.
Thus
(a) A and B are dependent.
(b) C and D are dependent.
(c) E and F are dependent.
Pls help me I really need help this is due ASAP I’ll brainlest grades close today pls help
