Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?

1 foot = 12 inches

Solution:

Elijah:
inches

Lorie:
inches
NO LINKS

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

[tex]t *r^{n-1}[/tex]

where t is the first term and r is the ratio. We can substitute in the information we know:

[tex]-\frac{1}{2} *2^{n-1}[/tex]

We are looking for the eighth term, so we substitute 8 where n is:

[tex]-\frac{1}{2}*2^{8-1}[/tex]

We can simplify:

[tex]-\frac{1}{2}*2^7[/tex]

[tex]-2^6[/tex]

[tex]-64[/tex]

Answer:

7/8 * 3 = 21/24

1/3 * 8 = 8/24

21-8 = 13

Gail bought 13/24 pound more than Jose

Answer:

15 - 4x

Hope this helps :)

Answer:

B.   A = 119.1 in.²

Step-by-step explanation:

A = area of trapezoid - area of circle

A = ½(b1 + b2)h - πr²

A = [½(27 + 12)(14) - 3.14159(7²)] in.²

A = 119.1 in.²

Answer: five and a half weeks.

Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = 8x

Let the third number = x + 100

x + 8x + x + 100 = 480              Combine like terms

10x + 100 = 480                        Subtract 100

      - 100    -100

10x = 380                                   Divide by 10

x = 380/10

x = 38

First number = 38

Second number = 8*38 = 304

The third number = 38 + 100 = 138

Complete question :

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?

Answer:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic = - 1.563

Critical value = ±2.023

Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs

Step-by-step explanation:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic, Z :

(Xbar - μ) / (s/√n)

(6.4 - 7) / (2.4276/√40)

-0.6 / 0.3838372

T= -1.563

α = 0.05 ; df = n - 1 = 40 - 1 = 39

Critical value(0.05, 39) = ±2.023

|T| > +Tcritical ; Reject the Null

Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.

Answer:

His standardized z-score is [tex]Z = \frac{1355 - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean price of rents and [tex]\sigma[/tex] is the standard deviation for price of rents.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Johns rent is $1,355.

This means that [tex]X = 1355[/tex]

What is his standardized z-score

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1355 - \mu}{\sigma}[/tex]

His standardized z-score is [tex]Z = \frac{1355 - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean price of rents and [tex]\sigma[/tex] is the standard deviation for price of rents.

Answer:

36 pie cubic inches

Step-by-step explanation:

Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]

Plug in the value for radius and solve:

[tex]V = \frac{4}{3} \pi 3^{3}[/tex]

Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]

Answer:

1st pair:  ∠C + ∠M

2nd pair: ∠G + ∠M

Step-by-step explanation:

Answer:

3,000,000

Step-by-step explanation:

let h= 3, k=-2

radius (r) = 11 ,then

(x-h)^2 + ( y-k)^2 = r^2

(x-3)^2 + ( y+2)^2 = 11^2

x^2 -6x +9 + y^2 +4y +4 = 121

x^2 + y^2 - 6x +4y -108 = 0 is the required eq

Answer:

B

D

E

[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]

Answer:

B and C

Step-by-step explanation:

Those 2 are the only ones that equal 5,-5

Answer:

Try A

Step-by-step explanation:

382.4cm

Answer:

11 1/4 or 45/4

Answer:

[tex]\huge\boxed{True\hookleftarrow}[/tex]

Answer:

what did percent or fraction did she give Kendall?

Step-by-step explanation:

Answer:

the answer would be -4

Step-by-step explanation:

just replace the variable y with two in the expression and solve

3(2)^2-5*2-6

Answer:

A picture of this would really help thx so much! (Please comment when u have done so that i can be notified

Step-by-step explanation:

Answer:

33 is definitely the correct answer

Answer:

linked the graph!

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −5

y=0,-1

Step-by-step explanation: