The sum of two numbers is 30. the difference of the two number is 4. what number is lesser

15 POINTSSS

jekas [21]

Alright, the equation of the graph is C. y= 0.5x +6

5 0

3 years ago

Read 2 more answers

1/4b^2+ 4bc + 16c? Answer?

Charra [1.4K]

Answer:

1/4b^2+ 4bc + 16c?=4

Step-by-step explanation:

STEP

1

:

1

Simplify —

4

Equation at the end of step

1

:

1

((— • b2) + 4bc) + 16c

4

STEP

2

:

Equation at the end of step 2

b2

(—— + 4bc) + 16c

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

4bc 4bc • 4

4bc = ——— = ———————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b2 + 4bc • 4 b2 + 16bc

———————————— = —————————

4 4

Equation at the end of step

3

:

(b2 + 16bc)

——————————— + 16c

4

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

16c 16c • 4

16c = ——— = ———————

1 4

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

b2 + 16bc = b • (b + 16c)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

b • (b+16c) + 16c • 4 b2 + 16bc + 64c

————————————————————— = ———————————————

4 4

3 0

3 years ago

Which equation has a slope of -4 and a y-intercept of 7.

Fiesta28 [93]

y=-4x+7

the -4 is the slope and the 7 is the y-intercept

5 0

3 years ago

What is (1/4) / (6/7) Please don’t just tell me the answer, please review the steps.

lbvjy [14]

Answer:

7/24 Is The Answer!

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

1/4 Divided by 6/7 = 1/4 ₓ 7/6

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

1/4 times 7/6 = 7/24

The result Is

1/4 divided by 6/7 = 7/24

6 0

3 years ago

a regional manager is comparing customer satisfaction ratings at two of its stores. 100 customer rattings from each store are ra

zhuklara [117]

Answer:

Yes, there is a significant difference in customer satisfaction ratings at the two stores

The P-value is P=0.000.

Step-by-step explanation:

The question is incomplete:

The store A has a sample mean of 4.05 and a sample standard deviation of 0.039. The store B has a sample mean of 3.99 and a sample standard deviation of 0.025.

We have to perform an hypothesis test for the difference between means.

The claim will state that satisfaction ratings differ. So, the null and alternative hypothesis are:

$H_0: \mu_1-\mu2=0\\\\H_a: \mu_1-\mu2\neq0$

being μ1: the actual staisfaction rating of store A, and μ2: the actual satisfaction rating of store B.

The significance level is 0.05.

We know that, for both samples, the sample size is n=100.

The difference between means is:

$M_d=\mu_1-\mu_2=4.05-3.99=0.06$

The standard error of the diffence between means is calculated as:

$s_M=\sqrt{\dfrac{s_1^2+s_2^2}{n}}=\sqrt{\dfrac{0.039^2+0.025^2}{100}}=\sqrt{\dfrac{0.0021}{100}}=\sqrt{0.000021}=0.0046$

The z-statistic can be calculated as:

$z=\dfrac{M_d-(\mu_1-\mu_2)}{s_M}=\dfrac{0.06-0}{0.0046}=13.04$

The P-value for this test statistic in a two tailed test is

$P-value=2P(z>13.04)=0.000$

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence that the customer satisfaction rating differs from store A to store B.

7 0

4 years ago