What is the solution to the equation?

Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D

Neporo4naja [7]

Answer:

See Below.

Step-by-step explanation:

Statements Reasons:

$1)\text{ } AC\cong DC$ Given

$2)\text{ } \angle B\cong \angle D$ Given

$3)\angle BCA \cong \angle ECD$ Vertical Angles are Congruent

$4)\text{ } \Delta ACB\cong \Delta DCE$ AAS Congruence

$5)\text{ } AB\cong DE$ CPCTC

7 0

3 years ago

Calculate the probability of flipping a coin 20 times and getting 4 heads. Round your answer to the nearest ten thousandth.

lorasvet [3.4K]

Answer:

0.0046

Step-by-step explanation:

5 0

3 years ago

Find the value of x please help

____ [38]

using angle sum property

we get

110+35+(x+12)=180

(x+12)=180-145

(x+12)= 35

x= 35-12

x= 23

3 0

3 years ago

Read 2 more answers

Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab

Leviafan [203]

Answer:

$z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936$

The p value can be founded with this formula:

$p_v =P(z$

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

$\bar X_{1}=7.6$ represent the mean for Gibbs products

$\bar X_{2}=8.1$ represent the mean for the competitor

$\sigma_{1}=2.3$ represent the population standard deviation for Gibbs

$\sigma_{2}=2.9$ represent the sample standard deviation for the competitor

$n_{1}=40$ sample size for the group Gibbs

$n_{2}=55$ sample size for the group competitor

$\alpha=0.05$ Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}< 0$

The statistic would be given by:

$z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

Replacing the info given we got:

$z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936$

The p value can be founded with this formula:

$p_v =P(z$

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0

3 years ago

As part of a science experiment, Greta measured the amount of water flowing from Container A to Container B. Container B had hal

Morgarella [4.7K]

Answer:

2 1/2 gallons

Step-by-step explanation:

add the flow plus the original number

5 0

3 years ago