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Natalija [7]
3 years ago
15

A textbook store sold a combined total of 312 history and psychology textbooks in a week. The number of psychology textbooks sol

d was 84 less than the number of history textbooks sold. How many textbooks of each type were sold?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

Answer: History textbooks sold: 198

Psychology: 114

Step-by-step explanation: 312- 84= 228

228 divided by 2= 114

Add 84 to 114 to represent the history textbooks since they have more.

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Write And equation of the parabola that has the same shape as the graph of f(x)=5x^2, but with (2,5) as the vertex
jekas [21]

Answer:5*(x-2)^2 + 5

Step-by-step explanation:that would be the answer 5x^2-20x+25

8 0
2 years ago
The cost to purchase a golf ball is $5 at Marty’s Sports Goods. To purchase a golf ball at Golf Club you must be a member. The m
LenKa [72]
It would be 10 for it tovbe the same price as at the golf club
6 0
3 years ago
If θ is an angle in standard position that terminates in Quadrant IV such that cosθ = 3/5, then cosθ/2 = _____. -
Sveta_85 [38]

Answer:

cos \frac{\theta}{2}= 0.894.

Step-by-step explanation:

Given:

cos\ \theta= \frac35

We need to find cos \ \frac{\theta}{2}

Solution:

cos\ \theta= \frac35

First we will find the value of \theta.

Now taking cos^{-1} on both side we get;

\theta= cos^{-1} \ \frac{3}{5}\\\\\theta = 53.13

Now we will find the \frac{\theta}{2}.

\frac{\theta}{2} = \frac{53.13}{2} = 26.565

Now we will find cos \ \frac{\theta}{2} we get;

cos \frac{\theta}{2}=cos\ 26.565 = 0.894

Hence cos \frac{\theta}{2}= 0.894.

4 0
3 years ago
Rewrite the quadratic function in intercept or factored form<br> y=4x^2-19x-5
damaskus [11]

Answer:

y = (x - 5)(4x + 1)

Step-by-step explanation:

The given function y = 4x^2 -19x - 5

Here we have to find the AC method.

Identify the value of A, B and C

A = 4 ,  B = -19 and C = -5

AC = 4*-5 = -20

Now find the facotr -20 such that when we add those two factors, we have to get the value of B. That is B = -19

Factors are -20 and 1

1 * -20 = -20

1 + (-20) = -19

y = 4x^2 -19x - 5

This can be written using the factors

y = 4x^2 - 20x + 1x - 5

Now let's factor by group the first two terms, then second two terms.

y = 4x (x - 5) + 1(x - 5)

y = (x - 5)(4x + 1)

That's the answer.

Hope this will helpful.

Thank you.

5 0
3 years ago
An F5 tornado is classified as having mean wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind
Anna35 [415]

Answer:

Type 2 error

Step-by-step explanation:

H0 : μ = 261

H0 : μ > 261

By failing to reject H0 ; when the it is false. This means accepting null hypothesis when it is actually FALSE. Then a type 2 error has been committed.

This is different from a type 1 error whereby the null hypothesis is rejected when it is actually TRUE.

Hence, by finding no evidence to reject the null hypothesis during statistical testing when the actual windspeed of an F5 tornado during statistical testing is actually greater than 261 mph.

6 0
3 years ago
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