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%
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
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
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 the square root of -1?
Answer:
Step-by-step explanation:
B, i
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 )
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
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
Write 4.015 105 as an ordinary number
A.40,150
B.41,5001
C.401,500
D.415,000
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
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.
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
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
PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.
148
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%
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].
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
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
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)
What is m∠N?
A. 19°
B. 68°
C. 95°
D. 112°
help pls and thank uu:)
Triangle LKJ is similar to triangle TSR. Which of the following statements is true?
Answer:
the 3rd choice is correct
Step-by-step explanation:
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
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)
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
No funny business
Rosa jumped 280 times in 7 hours. At that rate, how many times would she jump in 6 minutes?
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
#SPJ7
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