6
Step-by-step explanation:
because 1 + 2 =3 3+4 = 5 5 +6 = 6 please mark brainlist
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years, the
standard deviation is 1.7 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a gorilla living longer than 14.3
years.
Percent ____
Answer:
68%
Step-by-step explanation:
Empirical rule formula
= 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From the above question,
Mean = 16 years
Standard deviation = 1.7 years
Score = 14.3 years
We have to find the number of standard deviation to determine the percentage
Hence,
14.3 = 16 - 1.7x
Collect like terms
1.7x = 16 - 14.3
1.7x = 1.7
x = 1.7/1.7
x = 1
This means the data falls within 1 standard deviation from the mean hence, the probability of the gorilla living longer than 14.3 years is 68%
On a scale drawing, a building is 5 1/2 inches tall. If the scale drawing is 1 inch. : 8 inch tall is the building?
Answer:
44 inches
Step-by-step explanation:
Given that :
Scale of drawing = 1 inch : 8 inches
Height of building in drawing = 5 1/2 inches
Using the scale provide for the drawing, the actual height of the building is :
Height of building in drawing * 8 inches
5 1/2 * 8
5.5 * 8 inches
= 44 inches
Find Equivalent Expression
1/2 (4x + 4)
x + 4
2x + 2
2x + 8
4x + 4
Answer:
2x+2
Step-by-step explanation:
hello :
1/2 (4x + 4) =(1/2) (4x + (1/2) (4) = 2x+2
A square has a side of length 12. Find the length of one diagonal.
Answer:
6
Step-by-step explanation:
if you divide the square into 2 pieces, then use pythagoream theroem you will get 6
x+2y=8
-x+3y=17
método de reducción ¿alguien la sabe?
Answer:
x=-2
y=5
Step-by-step explanation:
x+2y=8 equation-1
-x+3y=17 equation-2
5y=25
Both side divided 5,
y=5
Equation-1, y=5
x+2(5)=8
x+10=8
Both side -10
x+10-10=8-10
x=-2
Equation-2, y=5
-x+3(5)=17
-x+15=17
Both side -15
-x+15-15=17-15
-x=2
x=-2
if food has 5g fat, 10g protein and 20g carbs, how many calories is it (9,4,4)?
Answer:
165 Calories
Step-by-step explanation:
A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories
5x9=45 10x4=40 20x4=80 45+40+80= 165
Ellen is making smoothies. The recipe calls for 1 and 1/4 cups of strawberries. How many cups of strawberries, written as a fraction greater than one, are used in the recipe?
Answer:
the number of cups of strawberries needed in the recipe is ⁵/₄
Step-by-step explanation:
Given;
cups of strawberries needed for the smoothies = 1 and 1/4 cups
To obtain the number of cups of strawberries needed in the recipe as a single fraction, the given mixed fractions will be converted into an improper fraction.
Note: Improper fractions are always greater than 1
Number of cups of strawberries [tex]=1 + \frac{1}{4} = \frac{4 + 1}{4} = \frac{5}{4}[/tex]
Therefore, the number of cups of strawberries needed in the recipe is ⁵/₄
Solve the equation. 8(x + 6) = 43 What is the value of x?
Answer:
Exact form
5/8
Decimal form
0.625
Step-by-step explanation:
Answer:
-5/8 or -0.625
Step-by-step explanation:
divide both sides by 8
[tex]\frac{8(x+6)}{8} =\frac{43}{8}[/tex]
Simplify
[tex]x+6 = \frac{43}{8}[/tex]
Subtract 6 from both sides
[tex]x+6 - 6 = \frac{43}{8} -6[/tex]
Convert the fraction to decimal and simplify
[tex]5.375 - 6 = -0.625[/tex]
Simplified:
[tex]-\frac{5}{8}[/tex]
Hope this helps
~R3V0
What is the sum of the series?
∑k=36(−5k+20)
I'm mid test, help please.
Answer:
-10
Step-by-step explanation:
∑
k
=
3
−
5
k
+
20
.
−
10
Hope this helped, and please mark as Brainliest <3
Answer: -10
Step-by-step explanation:
I took the test!
What is m∠N?
A. 19°
B. 68°
C. 95°
D. 112°
1. If Jeremy found 80% of the collector cards and Tim found 41 of the 45 cards,
who has more collector cards?
Answer:
Tim has more
Step-by-step explanation:
41/45 when you type it into a calculator is 91% and 91%>80%
A box contains 6 black socks and 4 red socks. What is the probability of picking two black socks from the bag without replacement? What is the answer in simplest form?
Answer:
9/25
Step-by-step explanation:
Our box contains 10 socks. (6, which are black and 4 which are red)
Probability of picking 1 black sock will be 6/10
Number of ways it can occur / Total number of outcomes.
In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection
P (B₁ ∩ B₂) = 6/10 . 6/10
When the events are independent, the probability of the intersection will be the product of the probabilities,
P (B₁ ∩ B₂) = 36/100 = 9/25
What is the square root of -1?
Answer:
Step-by-step explanation:
B, i
HURRY WILL MAKE BRAINLEST!! circle F is shown below. EB is a diameter and the radius is 3 units. Choose the correct
arc length determined by the central angle given
Answer:
Arc length is equal to [tex]\theta r[/tex] where [tex]\theta[/tex] is the angle in radians and [tex]r[/tex] is the radius.
Question 1:
[tex]\frac{\pi}{2}=\frac{\pi}{6}\times3[/tex]
So the angle is CFD.
Question 2:
[tex]\pi=\frac{\pi}{3}\times3[/tex]
So the angle is AFE.
Question 3:
[tex]2\pi=\frac{2\pi}{3}\times3[/tex]
So the angle is AFB.
Question 4:
[tex]\frac{3\pi}{4}=\frac{\pi}{4}\times3[/tex]
So the angle is BFC.
PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.
148
In ΔABC, ∠C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
b= 20, c=40
Answer:
The remaining side and angles are [tex]a = 20\sqrt{3}[/tex], [tex]\angle A = 60^{\circ}[/tex] and [tex]\angle B = 30^{\circ}[/tex].
Step-by-step explanation:
According to the information given on statement, we are in front of a right triangle because [tex]\angle C[/tex], opossite to side [tex]c[/tex], is a right angle. Hence, [tex]c[/tex] is the hypotenuse of the right triangle and [tex]b[/tex], a leg. The missing length can be calculated by the Pythagorean Theorem:
[tex]a = \sqrt{c^{2}-b^{2}}[/tex] (1)
If we know that [tex]c = 40[/tex] and [tex]b = 20[/tex], then the length of the missing leg is:
[tex]a = \sqrt{c^{2}-b^{2}}[/tex]
[tex]a = 20\sqrt{3}[/tex]
Lastly, we find the value of the missing angles by means of direct and inverse trigonometric relations:
Angle A
[tex]\angle A = \tan^{-1}\left(\frac{a}{b} \right)[/tex] (2)
Angle B
[tex]\angle B = \tan^{-1} \left(\frac{b}{a} \right)[/tex] (3)
If we know that [tex]a = 20\sqrt{3}[/tex] and [tex]b = 20[/tex], then the values of the missing angles are, respectively:
Angle A
[tex]\angle A = \tan^{-1}\left(\frac{a}{b} \right)[/tex]
[tex]\angle A = 60^{\circ}[/tex]
Angle B
[tex]\angle B = \tan^{-1} \left(\frac{b}{a} \right)[/tex]
[tex]\angle B = 30^{\circ}[/tex]
The remaining side and angles are [tex]a = 20\sqrt{3}[/tex], [tex]\angle A = 60^{\circ}[/tex] and [tex]\angle B = 30^{\circ}[/tex].
Using n = 3.14, find the area of a circle with a radius of 16.
Round your answer to the nearest hundredth.
HELPPP
Answer:
803.84=A
Step-by-step explanation:
The area of a circle can be found by using the equation [tex]\pi r^{2}[/tex]=A.
[tex]\pi r^{2}[/tex]=A
[tex](3.14)(16^{2})[/tex]=A
(3.14)(256)=A
803.84=A and the units are, how ever the radius is measured cubed
No funny business
Rosa jumped 280 times in 7 hours. At that rate, how many times would she jump in 6 minutes?
Which equation represents a line that passes through (2,-1/2) and has a slope of 3?
y-2 = 3(x + 1/2)
y-3 = 2(x + 1/2)
y+ 1/2 = 3(x - 2)
y+ 1/2 = 2(x - 3)
Write 4.015 105 as an ordinary number
A.40,150
B.41,5001
C.401,500
D.415,000
which phrase describes the algebraic expression x-2.5?
Answer:
Step-by-step explanation:
This expression is a binomial; it has two terms.
Answer:
x less 21.5
Step-by-step explanation:
Given : the algebraic expression x - 21.5
a. 21.5 decreased by x
the expression becomes 21.5 - x
b. x more than 21.5
more than means we add , so expression becomes 21.5 +x
c. 21.5 minus x
For minus we use subtraction symbol,
so the expression becomes 21.5 -x
d. x less 21.5
x less 21.5 , we subtract 21.5
so the expression becomes x - 21.5 . that is the given expression
Maye is 28 years old. She is 12 years older than 23 of Laurel's age. Which equation can be used to find Laurel's age, a?
Answer: 24 years
Step-by-step explanation:
Let Laurel's age be represented by x.
Since Maye is 28 years and he is 12 years older than 2/3 of Laurel's age, this can be represented in an equation as:
(2/3 × x) + 12 = 28.
2x/3 = 28 - 12
2x/3 = 16
Cross multiply
2x = 16 × 3
2x = 48
Divide by 2
x = 48/2
x = 24
Therefore, Laura is 24 years
Help me please is really appreciate your helping
Answer:
150 cm^3
Step-by-step explanation:
Volume of a prism = area of base × height
=( 5×6) × 5 cm^3
= 150cm^3
( lemme know if it's right . If the base is a paralellogram, then it'll be different )
help pls and thank uu:)
Leroy uses 20 pounds of fertilizer to cover up 4000 ft.² of a salon and 50 pounds to cover up 10,000 ft.² how much does he need to cover his entire yard which has an area of 26,400 ft.²
Answer:
5,280,000
Step-by-step explanation:
He uses 200 ft to cover up 1 pound. To find how much he uses for 26,400. You'll multiply 200 times 26400
Question 2 of 10
What is the area of the triangle below?
No links please
Triangle LKJ is similar to triangle TSR. Which of the following statements is true?
Answer:
the 3rd choice is correct
Step-by-step explanation:
ok here yall go and thanks for the help
Answer:
length:5
width:2
Hight:2
value:20
Step-by-step explanation:
The volume is 29 because length×width×hight=value so 5×2×2=20
Pls help me it’s for math
Answer and Step-by-step explanation:
1.
First, move all the points of the triangle to the right by 4 units. After, move all the points of the triangle down by 4 units.
2. For all of the x-values, make them negative since we are going across the y-axis. The Y-values will be the same.
#teamtrees #PAW (Plant And Water)
Which expression is equivalent to (o)(0)
0000000)?
0 131
13j
O i+ 13
Answer:
[tex]j^{13}[/tex] is correct. This expression is showing j to the 13 power.
The equivalent expression is [tex]j^{13}[/tex]
Option C is the correct answer.
We have,
The expression:
j (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j)
There are 13 j's so,
This can be written as,
[tex]j^{13}[/tex]
Thus,
The equivalent expression is [tex]j^{13}[/tex]
Learn more about expressions here:
https://brainly.com/question/3118662
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