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fenix001 [56]
3 years ago
11

Play room is 9 pounds of apples she needs 1 1/4 pounds to make one apple pie if she set aside 1.5 pounds of apples to make apple

sauce how many pies, p, can she make?Write and solve an equation.
Mathematics
1 answer:
kumpel [21]3 years ago
7 0
Hi there!

I'm unsure if '11/4 pounds' meant '1/4', however, if it did, the answer is 6 pies in total.

Here's how I worked it out:
9 - 1.5 = 7.5 ( 1 )
7.5 - 1.5 = 6 ( 2 )
6 - 1.5 = 4.5 ( 3 )
4.5 - 1.5 = 3 ( 4 )
3 - 1.5 = 1.5 ( 5 )
1.5 - 1.5 = 0 ( 6 )

<em>Hope I helped! (:</em>
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Sphere with a radius of a radius of 42 inches
prisoha [69]

Answer:

310339.1 in^3

Step-by-step explanation:

Volume=4/3*pi*r^3

Volume=4/3*pi*42^3

Volume=4/3*pi*74088

Volume=98784*pi

Volume=310339.0887

So the volume is about 310339.1 in^3

5 0
3 years ago
What pattern is represented by the polynomial ?
Ymorist [56]

Answer:

choice C. Perfect square trinomial is correct.

Step-by-step explanation:

We need to find the pattern which is represented by the polynomial 4x^2+12x+9.

To find that pattern, we need to factor 4x^2+12x+9

4x^2+12x+9

=4x^2+6x+6x+9

=2x(2x+3)+3(2x+3)

=(2x+3)(2x+3)

=(2x+3)^2

which is a perfect square.

Hence choice C. Perfect square trinomial is correct.

8 0
3 years ago
A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 200,0
CaHeK987 [17]

Answer:

1) No, there is  not  enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

p_1=X_1/n_1=21/100000=0.0002

The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

p_2=X_2/n_2=30/100000=0.0003

The difference between proportions is (p1-p2)=-0.0001.

p_d=p_1-p_2=0.0002-0.0003=-0.0001

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(z

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is  not  enough evidence to support the claim that the vaccine was effective.

6 0
3 years ago
Variable c is 5 more than variable
shutvik [7]
First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
 c = a + 5
 c = a - 3
7 0
3 years ago
Read 2 more answers
If G(x) = 3x + 1, then G -1(1) is<br> 4<br> 1/3<br> 0
Eduardwww [97]

Answer:

0


Step-by-step explanation:

g(x) = 3x + 1 \\\ y = 3x + 1


Changing x to y and y to x:


x = 3y + 1 \\\ 3y = x - 1 \\\ y = \frac{x - 1}{3} \\\ g^{-1}(x) = \frac{x - 1}{3} \\\ g^{- 1} (1) = \frac{1 - 1}{3} \\\ g^{- 1} (1) = 0


I hope I helped you.

4 0
3 years ago
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