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vagabundo [1.1K]

3 years ago

9

There are 3 red roses for every 4 white roses. What two equations show the relationship between the number of red roses, r, and

the number of white roses, w?

1 answer:

lakkis [162]3 years ago

4 0

Answer:

3 x 4 or 12/4

Step-by-step explanation:

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5) In a certain supermarket, a sample of 60 customers who used a self-service checkout lane averaged 5.2 minutes of checkout tim

Ne4ueva [31]

Answer:

$\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643$

$S_p=2.940$

$t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751$

$df=60+72-2=130$

$p_v =P(t_{130}$

Assuming a significance level of $\alpha=0.05$ we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

Step-by-step explanation:

Data given

Our notation on this case :

$n_1 =60$ represent the sample size for people who used a self service

$n_2 =72$ represent the sample size for people who used a cashier

$\bar X_1 =5.2$ represent the sample mean for people who used a self service

$\bar X_2 =6.1$ represent the sample mean people who used a cashier

$s_1=3.1$ represent the sample standard deviation for people who used a self service

$s_2=2.8$ represent the sample standard deviation for people who used a cashier

Assumptions

When we have two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

The statistic is given by:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

And t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

System of hypothesis

Null hypothesis: $\mu_1 \geq \mu_2$

Alternative hypothesis: $\mu_1 < \mu_2$

This system is equivalent to:

Null hypothesis: $\mu_1 - \mu_2 \geq 0$

Alternative hypothesis: $\mu_1 -\mu_2 < 0$

We can find the pooled variance:

$\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643$

And the deviation would be just the square root of the variance:

$S_p=2.940$

The statistic is given by:

$t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751$

The degrees of freedom are given by:

$df=60+72-2=130$

And now we can calculate the p value with:

$p_v =P(t_{130}$

Assuming a significance level of $\alpha=0.05$ we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

5 0

3 years ago

Retama Park offers a Superfecta bet, in which you predict the exact order of the top four finishers. If there are 8 horses, find

Masteriza [31]

(a) Question: There are 8 horses in a race at Retama Park. You could win a BIG jackpot if you can pick the finishing order for ALL 8 of the horses. Find the number of possible orders in which the hors
v

5 0

3 years ago

Find the lateral area.<br>10 is the height.

VMariaS [17]

Answer:

The lateral surface area of a cuboid is 180 units² .

Option (c) is correct.

Step-by-step explanation:

Formula

Lateral surface area of a cuboid = 2hl + 2hb

Where h is the height , l is the length and b is the breadth.

As shown in the figure.

Length = 4 units

Breadth = 5 units

Height = 10 units

Put in the formula

Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5

= 80 + 100

= 180 units ²

Therefore the lateral area of the cuboid is 180 units² .

Option (c) is correct.

4 0

3 years ago

Jane needs to buy mulch to cover a circular garden

scoray [572]

Answer:

$3089.4

Step-by-step explanation:

A circle is a locus of a point such that its distance from a point known as the center is always constant.

The area of a circle is given by the formula:

Area = πr²; where r is the radius of the circle.

From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:

Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²

Since mulch cost $32.52 per square yard, hence:

Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4

7 0

3 years ago

What is the LCD of 8/9 and 7/8

Stels [109]

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

4 0

3 years ago

Read 2 more answers