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3 years ago

15

Fred bought 6 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are no

w only 47 cards left. How many cards did Fred start with ?

1 answer:

Svet_ta [14]3 years ago

7 0

Fred started off with 94

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The equation of the graphed line in point-slope form is _______, and its equation in slope-intercept form is .

Ivenika [448]

Answer:

Point-slope form equation line

$(y-3)=(-0.6)\times (x+2)$

Slope-intercept form is:

$y=-0.6x+1.8$

Step-by-step explanation:

Point-slope form equation line passing through points $(x_1,y_1)(x_2,y_2)$

Slope = m = $\frac{y-2-y_1}{x_2-x_1}$

slope-intercept form is:

y = mx +c

where : c = intercept of on axis

$(y-y_1)=m\times (x-x_1)$

Equation of line passing through (-2,3) and (3,0).

$m=\frac{0-3}{3-(-2)}=-0.6$

$(y-3)=-0.6\times (x-(-2))$

Point-slope form equation line

$(y-3)=(-0.6)\times (x+2)$

For slope-intercept form open the brackets of Point-slope form equation l:

$y-3=-0.6x-1.2$

So, the slope-intercept form is:

$y=-0.6x+1.8$

7 0

3 years ago

stira [4]

<h3>Given:</h3>

Radius of 50 point region= 3 in
Width of other regions= 4 in

<h3>To find:</h3>

The area of the target which earns 30 points on a throw.

<h3>Solution:</h3>

$\huge\boxed{Formula: a= \pi{r}^{2}}$

$4+3$

$=7$

Let's solve

We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.

$a={7}^{2}$

$\large\boxed{a= 49 \pi\: {in}^{2}}$

<u>Hence,</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the target which earns 30 points on a throw</u><u> </u><u>is</u><u> </u><u>4</u><u>9</u><u>π</u><u> </u><u>square</u><u> </u><u>inches</u><u>.</u>

<u>Answer</u><u>=</u><u> </u><u>Option</u><u> </u><u>B</u>

7 0

2 years ago

AT&T would like to test the hypothesis that the proportion of 18- to 34-year-old Americans that own a cell phone is less tha

Vera_Pavlovna [14]

Answer:

The null and alternative hypothesis can be written as:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

$p_1=X_1/n_1=126/200=0.63$

The sample 2, of size n2=175 has a proportion of p2=0.68.

$p_2=X_2/n_2=119/175=0.68$

The difference between proportions is (p1-p2)=-0.05.

$p_d=p_1-p_2=0.63-0.68=-0.05$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01$

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

$\text{P-value}=P(z$

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

5 0

3 years ago

Which is correct ? ^^^^

Shkiper50 [21]

Answer:

c

Step-by-step explanation:

C because your looking for y*48 which is 48y. It is c because (y*40)+(y*8) gives you 40y+8y which equals 48y.

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3 years ago

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Which of these choices is considered an environmental cost?

Inessa [10]

<span>C. Resource depletion</span>

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3 years ago

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