33.32 divided by 9.8

Hilda cuts a ribbon into2 equal pieces. Then she cuts 4 inches off one piece. That piece is now 5 inches long. What was the leng

Anna11 [10]

Start from the end. 5+4*2. Which in turn equals 18 inches.

5 0

1 year ago

Read 2 more answers

your friend deposits $9500 in an investment account that earns 2.1% annual interest. what is the balance after 11 years when the

solmaris [256]

Answer:

The answer is "$ 11,961.43"

Step-by-step explanation:

Given values:

P = $ 9500

r= 2.1 %

time (t)= 11 year

total quarterly year =4

Formula:

$A= P (1+\frac{r}{n})^{nt}\\\\$

quarterly time = $4 \times 11$

$= 44$

$A= P (1+\frac{r}{n})^{nt}\\\\$

$A = 9500 ( 1+ \frac{0.021}{4})^{44}\\\\A = 9500(\frac{4+ 0.021}{4} )^{44} \\\\A = 9500(\frac{4.021}{4} )^{44} \\\\A= 9500 (1.00525)^{44}\\\\A= 9500(1.25909819)\\\\A= 11,961. 43\\$

8 0

2 years ago

A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

$t = 3.054$

4

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

5

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

2 years ago

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step

sveta [45]

Remember PEMDAS, you have to simplify the exponent first.

7 0

1 year ago

Jake is the kicker on the football team and has an amazing kick during the game. The path of the football can be measured by the

xeze [42]

The height of the ball when it is 5 meters away from Jake to the nearest whole number is 160 meters:
h=-.625*5(5-56)=159.375 meters exact.

3 0

2 years ago