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andreyandreev [35.5K]
2 years ago
14

Alice has a total of 12 dimes and nickels. She has 2 more nickles than dimes

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
8 0
She has five dimes and seven nickels with a total of $.85
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Complete the table of values for the equation y = 3x + 5.
cricket20 [7]

f(x)=3x+5

f(-2)=3×(-2)+5

= -6+5

=-1

f(-1)=3×(-1)+5

=-3+5

=2

f(0)=3×0+5

=0+5

=5

f(1)=3×1+5

=3+5

=8

f(2)=3×2+5

=6+5

=11

3 0
2 years ago
One winter morning the temperature was -2 C. By 11:00 am the temperature hd decreased by 3 degrees. At 4:00 pm reached 0 degrees
Temka [501]

Answer:

The temperature rose by 5 degrees celcius between 11 am and 4 pm

Step-by-step explanation:

Here in this question, we want to find the integer which represents the temperature change from 11 am to 4 pm.

Initially, in the morning, the temperature was -2 . By 11, it had decreased by 3 degrees. What this means is that the temperature went down further by 3 degrees.

Mathematically, the temperature at 11 will be -2-3 = -5 degrees celcius

Now at 4 pm, the temperature went from -5 to 0 degrees.

The temperature change between 11 am and 4 pm will be; 0-(-5) = 0 + 5 = 5 degrees celcius

This means that the temperature rose by 5 degrees celcius between 11 am and 4 pm

7 0
3 years ago
The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran
VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, X = "Comprehensive strength of concrete". We have information that X is normally distributed with a mean of 2500 psi and a standard deviation of  50 psi (or a variance of 2500 psi). In other words, X \sim N(2500, 2500).

We want to know the probability of the mean of X or \bar{X} that falls in the interval [2499;2510]. From inference theory we know that :

\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)

Now we can find the probability as follows:

P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )

Where Z \sim N(0,1), then:

P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798

8 0
4 years ago
I dont know what I'm doing! could you help me​
photoshop1234 [79]

Answer:

c = 24.34

Step-by-step explanation:

Here, we can use the cosine rule

Generally, we have this as:

a^2 = b^2 + c^2 - 2bcCos A

12^2 = 14^2 + c^2 - 2(14)Cos 19

144 = 196 + c^2 - 26.5c

c^2 - 26.5c + 196-144 = 0

c^2 - 26.5c + 52 = 0

We can use the quadratic formula here

and that is;

{-(-26.5) ± √(-26.5)^2 -4(1)(52)}/2

(26.5 + 22.23)/2 or (26.5 - 22.23)/2

24.37 or 2.135

By approximation c = 24.34 will be correct

8 0
3 years ago
a pack of toilet paper was originally $4.50 , it now cost $6.75. What is the solution to this problem?
Nitella [24]
2.25 is correct have a good day
5 0
3 years ago
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