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Alchen [17]
2 years ago
8

How many bases

formula"> are there such that $663_b$ is prime?
Mathematics
1 answer:
vivado [14]2 years ago
5 0

Answer:

  none

Step-by-step explanation:

We assume you intend positive rational bases.

663_b is divisible by 3, so cannot be prime.

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A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of
katen-ka-za [31]
So, we're finding ratios first okay, for every 4ft:12in and 6ft:18in so for every one foot there is 3 inches which is your rate of incline 1:3 or every one foot  there are 3 inches of incline hope this helped you have an amazing day

7 0
2 years ago
A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential
Jet001 [13]
The initial population is
P₀ = 94 million in 1993

The growth formula is
P(t) = P_{0}e^{kt}
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.

Because P(5) = 99 million (in 1999), 
94e^{5k} = 99 \\e^{5k}=1.0532 \\ 5k = ln(1.0532) \\ k = 0.010367

In the year 2005, t = 12 years, and
P(12)=94e^{0.010367*12} = 106.45

Answer: 106 million (nearest million)

7 0
2 years ago
Noor wants to spend less than $20 on condiments. Each kilogram of salt costs $1.50, and each kilogram of pepper costs 2.50.
nata0808 [166]

Answer:

1.5s+2.5p<20

Step-by-step explanation:

Multiply by each kilo and then make sure it adds up to less than 20!

3 0
2 years ago
In ΔABC, and m∠ABC = 90°. D and E are the midpoints of and , respectively. If the length of is 9 units, the length of is units a
jok3333 [9.3K]
This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°

Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
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3 0
2 years ago
A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the
Vadim26 [7]

Answer:

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

Step-by-step explanation:

The explanation of given question is described below:

Here, the test of hypothesis states that

H_o : Mean = 28.6

H_a : Mean\ which\ is\ not\ equals\ 28.6

The test statistic is

Z = \frac{(\bar X - Mean)}{\frac{Population\ standard\ deviation}{vn} }

Z = \frac{(30.06 - 28.6)}{\frac{4.18}{6} }

= 2.1

According to the given data α = 0.05,

So, the major value is

IZ(0.025)I = 1.96

(refer to the standard normal table) .

Finally

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

3 0
2 years ago
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