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scoray [572]
3 years ago
8

When Anita planted a large bush in her garden, it was 5 feet tall. Now it is 40% taller. How tall is the bush now?

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer:

7 feet

Step-by-step explanation:

the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40

1.40 x 5 = 7 feet

Method 2

find 40% of 5 feet

0.4 x 5 = 2

Add 5 + 2 = 7 feet

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How do I find the area of the shaded region? Thanks!!
bazaltina [42]

Answer:

The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.

Circle Radius = 16 / sq root (3)

Circle Radius = 9.237604307

Circle Area = PI * radius ^ 2

Circle Area = PI * 85.3333333333

Circle Area = 268.083

Equilateral Triangle area = side^2 * sq root (3) / 4

Equilateral Triangle area = 16^2 * 0.4330127019

Equilateral Triangle area = 110.85

Shaded region = 268.083 - 110.85

Shaded region = 157.233

Step-by-step explanation:

7 0
3 years ago
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
solniwko [45]

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

P(X=6)=(0.162)

Step-by-step explanation:

From the question we are told that:

Sample size n=18

Probability P=0.267

No. that do not cover their mouth when sneezing x=6

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}

Where

x=6

Therefore

P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}

P(X=6)=(0.162)

5 0
2 years ago
Joseph went to the store to buy something. After they changed him 6% tax, he ended up paying $4.24 for his item. Find the origin
Reil [10]
The original price was 4 dollars
3 0
3 years ago
Why is 6 is greater than 5/8 but less than 70
AnnyKZ [126]
6 is a whole number and 5/8 is a fraction
Fractions are parts of a whole number
So a fraction is smaller than any whole number
Thats why 6 is greater than 5/8
6 is a number that is in the ones place
Once the ones place is full up the number 9 and is about to go to 10 it goes to the tens place
So anything that is in the tens place is greater than a number in the ones place
6 is in the ones place
70 is in the tens place
Thats why 6 is less than 70
5 0
3 years ago
Read 2 more answers
Find the exact value of x
tresset_1 [31]

ΔABC and ΔCBD are similar. Therefore we have the proportion:

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2

Substitute:

\dfrac{6}{x}=\dfrac{x}{2}    <em>cross multiply</em>

(x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}

6 0
3 years ago
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