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3 years ago

Katie needs 3/4 cup sugar to make cookies. She only has 1/3. How much more sugar does Katie need?

Mathematics

1 answer:

Katarina [22]3 years ago

3 0

Answer:

I think it is 5/12 but might be wrong

Step-by-step explanation:

Subtracted 1/3 from 3/4

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Hi. Please help me with these questions See image for question.Answer no 6 and 7

Gnom [1K]

Answer:

6. See solution
7. k = 2, k = -6

Step-by-step explanation:

Given equation:

2(x + 2)² + p(x + 1) = 0

The sum of the roots is q1 and the product of the roots is q2

Need to show that q1+q2 = 0

<h3>Solution</h3>

Bringing the equation into standard form of ax² + bx + c = 0:

2(x + 2)² + p(x + 1) = 0
2x² + 8x + 8 + px + p = 0
2x² + (p + 8)x + (p + 8) = 0

Sum of the roots:

q1 = - b/a = -(p + 8)/2

Product of the roots:

q2 = c/a = (p + 8)/2

We see that q1 and q2 are opposite numbers, therefore their sum equals zero:

q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0

=============================================

Given quadratic equation:

x² - (k + 2)x + 4 = 0

It has equal roots

Need to find the possible values of k

<h3>Solution</h3>

When the quadratic equation has equal roots, then its discriminant is equal to zero:

D = 0
√b² - 4ac = 0
√(-k -2)² - 4*1*4 = 0
√k² + 4k + 4 - 16 = 0
√k² + 4k - 12 = 0
k² + 4k - 12 = 0
k = {-4 ± √4² -4*1*(-12)}/2
k = (-4 ± √16 + 48)/2
k = (-4±√64)/2
k = -2 ± 4
k = 2, k = -6

7 0

3 years ago

Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.

Sindrei [870]

Answer:

a) $P(X=3) = 0.1$

b) $P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

c) $P(X=4) = 0.3$

d) $P(X=0) = 0.2$

e) $E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

f) $E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

Step-by-step explanation:

We have the following distribution

x 0 1 2 3 4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

$P(X=3) = 0.1$

Part b

We want this probability:

$P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

Part c

For this case we want this probability:

$P(X=4) = 0.3$

Part d

$P(X=0) = 0.2$

Part e

We can find the mean with this formula:

$E(X)= \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

Part f

We can find the second moment with this formula

$E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

4 0

4 years ago

Find the sequence of -1, 1, __, 5, __

marin [14]

The missing numbers are 3, and 7
the pattern is +2 to each number

7 0

3 years ago

Find the value of x. 30° 15x A. 4 B. 10 C. 12 D. 2

goldenfox [79]

Answer:

10 is the answer

Step-by-step explanation:

5 0

3 years ago

Hey what i -5(r+7)=-58

Levart [38]

The answer to the question is
$r = \frac{23}{5}$
in decimal form the answer is
$r = 4.6$
i hope this helps!!!!

3 0

3 years ago

Katie needs 3/4 cup sugar to make cookies. She only has 1/3. How much more sugar does Katie need?​

Katie needs 3/4 cup sugar to make cookies. She only has 1/3. How much more sugar does Katie need?